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<p>SQL functions for linear regression.
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a4685eeda72f21f4a9d16a02f96e09dd3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a4685eeda72f21f4a9d16a02f96e09dd3">robust_input_checking</a> (varchar source_table, varchar <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a>, varchar dependent_varname, varchar independent_varname)</td></tr>
<tr class="separator:a4685eeda72f21f4a9d16a02f96e09dd3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3f978229f9a2e229276278985d76c438"><td class="memItemLeft" align="right" valign="top">bytea8&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a3f978229f9a2e229276278985d76c438">robust_linregr_transition</a> (bytea8 state, float8 y, float8[] x, float8[] coef)</td></tr>
<tr class="separator:a3f978229f9a2e229276278985d76c438"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad85d9925cbab4b59acd798a7b32671ff"><td class="memItemLeft" align="right" valign="top">bytea8&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#ad85d9925cbab4b59acd798a7b32671ff">robust_linregr_merge_states</a> (bytea8 state1, bytea8 state2)</td></tr>
<tr class="separator:ad85d9925cbab4b59acd798a7b32671ff"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a458741a15dc6c2ca627f0d1c1d19b7f8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="robust_8sql__in.html#aabcbd0c007c48ce9d552e2f531b83d64">robust_linregr_result</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a458741a15dc6c2ca627f0d1c1d19b7f8">robust_linregr_final</a> (bytea8 state)</td></tr>
<tr class="separator:a458741a15dc6c2ca627f0d1c1d19b7f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa2a1d9f208f86048ddab80b448acd159"><td class="memItemLeft" align="right" valign="top">aggregate <a class="el" href="robust_8sql__in.html#aabcbd0c007c48ce9d552e2f531b83d64">robust_linregr_result</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#aa2a1d9f208f86048ddab80b448acd159">robust_linregr</a> (float8 dependentVariable, float8[] independentVariables, float8[] coef)</td></tr>
<tr class="memdesc:aa2a1d9f208f86048ddab80b448acd159"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute robust regression diagnostic statistics for linear regression. <a href="#aa2a1d9f208f86048ddab80b448acd159">More...</a><br/></td></tr>
<tr class="separator:aa2a1d9f208f86048ddab80b448acd159"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a68510732b4a7263daaac942d1f863115"><td class="memItemLeft" align="right" valign="top">CREATE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a68510732b4a7263daaac942d1f863115">__internal_get_robust_linregr_result</a> (source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input table, dependent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent variable, independent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent variable, linregr_coeffs DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[]--coeffs from linear regression) RETURNS <a class="el" href="robust_8sql__in.html#aabcbd0c007c48ce9d552e2f531b83d64">MADlib.robust_linregr_result</a> <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$DECLARE <a class="el" href="robust_8sql__in.html#a178ff2399964e468547d3042f40bfda3">robust_value</a> <a class="el" href="robust_8sql__in.html#aabcbd0c007c48ce9d552e2f531b83d64">MADlib.robust_linregr_result</a></td></tr>
<tr class="memdesc:a68510732b4a7263daaac942d1f863115"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return robust linear regression estimates given a set of coefficients. <a href="#a68510732b4a7263daaac942d1f863115">More...</a><br/></td></tr>
<tr class="separator:a68510732b4a7263daaac942d1f863115"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac9ebd21770ba37efb90e1ccee36fc103"><td class="memItemLeft" align="right" valign="top">BEGIN EXECUTE&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#ac9ebd21770ba37efb90e1ccee36fc103">SELECT</a> (<a class="el" href="robust_8sql__in.html#aa2a1d9f208f86048ddab80b448acd159">MADlib.robust_linregr</a>('||dependent_varname|| ', '||independent_varname|| ', '|| '<a class="el" href="robust_8sql__in.html#a510547c506e686972e73f497f0725d5c">ARRAY</a>['||array_to_string(linregr_coeffs, ',')|| '])).*FROM '||source_table INTO <a class="el" href="robust_8sql__in.html#a178ff2399964e468547d3042f40bfda3">robust_value</a></td></tr>
<tr class="separator:ac9ebd21770ba37efb90e1ccee36fc103"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a178569b5984ba23c688179bbbb3e12c7"><td class="memItemLeft" align="right" valign="top">CREATE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a178569b5984ba23c688179bbbb3e12c7">__internal_get_robust_linregr_insert_string</a> (robust_lin_rst <a class="el" href="robust_8sql__in.html#aabcbd0c007c48ce9d552e2f531b83d64">MADlib.robust_linregr_result</a>, linregr_coeffs DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[]--coeffs from linear regression, <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ad23a097af3f4c0dd14f17e7adc17e3be">TEXT</a>) RETURNS <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a> <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$DECLARE <a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a></td></tr>
<tr class="memdesc:a178569b5984ba23c688179bbbb3e12c7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return insert string for robust linear regression. <a href="#a178569b5984ba23c688179bbbb3e12c7">More...</a><br/></td></tr>
<tr class="separator:a178569b5984ba23c688179bbbb3e12c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8432a2bec42df811d9986dfc464d4ccb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> ELSE <a class="el" href="robust_8sql__in.html#a1de54bd922161dd5c6a353647f448fd6">END</a> CASE&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a8432a2bec42df811d9986dfc464d4ccb">WHEN</a> (robust_lin_rst).std_err is <a class="el" href="robust_8sql__in.html#a1bcd2f9adc5825caadb97a9fe1838b8a">NULL</a> THEN '''</td></tr>
<tr class="separator:a8432a2bec42df811d9986dfc464d4ccb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afe2de0edcada1eee39175e75053e701e"><td class="memItemLeft" align="right" valign="top">Interface CREATE OR REPLACE <br class="typebreak"/>
FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#afe2de0edcada1eee39175e75053e701e">robust_variance_linregr</a> (usage_string <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#a0851cc2c2d38f8dea52cecc88add032d">usage</a> string) RETURNS <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a> <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$DECLARE <a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a></td></tr>
<tr class="separator:afe2de0edcada1eee39175e75053e701e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afcc96782664d446242f77dcfdcabcd30"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#afcc96782664d446242f77dcfdcabcd30">robust_variance_linregr</a> () RETURNS <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a> <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$BEGIN RETURN MADlib.robust_variance_linregr('')</td></tr>
<tr class="separator:afcc96782664d446242f77dcfdcabcd30"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acb95e68d55a4e42eb34960f7b61f506c"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#acb95e68d55a4e42eb34960f7b61f506c">robust_variance_linregr</a> (source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input table, <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output table, <a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent variable, <a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent variable) RETURNS VOID <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$BEGIN PERFORM MADlib.robust_variance_linregr(source_table</td></tr>
<tr class="memdesc:acb95e68d55a4e42eb34960f7b61f506c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Robust linear regression with default fit regression behaviour &amp; no grouping. <a href="#acb95e68d55a4e42eb34960f7b61f506c">More...</a><br/></td></tr>
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<tr class="memitem:ac09a7ffa805778b160795f96916995a6"><td class="memItemLeft" align="right" valign="top">Robust Linear Regression <br class="typebreak"/>
CREATE OR REPLACE FUNCTION <br class="typebreak"/>
MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#ac09a7ffa805778b160795f96916995a6">robust_variance_linregr</a> (source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input table, <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output table, dependent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent variable, input_independent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent variable, <a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--grouping columns) RETURNS VOID <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$DECLARE <a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a></td></tr>
<tr class="memdesc:ac09a7ffa805778b160795f96916995a6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Robust linear regression function subcall. <a href="#ac09a7ffa805778b160795f96916995a6">More...</a><br/></td></tr>
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<tr class="memitem:a994d160de3fe69beffafaa4f83572b14"><td class="memItemLeft" align="right" valign="top">PERFORM MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a994d160de3fe69beffafaa4f83572b14">robust_input_checking</a> (source_table, <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a>, dependent_varname, input_independent_varname)</td></tr>
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<tr class="memitem:af6e1fc706077368563df3db1d15b4ed4"><td class="memItemLeft" align="right" valign="top">This code should be added back <br class="typebreak"/>
in should *support be <br class="typebreak"/>
implemented float8[]&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#af6e1fc706077368563df3db1d15b4ed4">robust_logregr_step_transition</a> (float8[] state, boolean y, float8[] x, float8[] coef)</td></tr>
<tr class="separator:af6e1fc706077368563df3db1d15b4ed4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa715a6f6885b56d919a243ec4ff07fde"><td class="memItemLeft" align="right" valign="top">float8[]&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#aa715a6f6885b56d919a243ec4ff07fde">robust_logregr_step_merge_states</a> (float8[] state1, float8[] state2)</td></tr>
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<tr class="memitem:af8efdd02ad3155411507bf786095a562"><td class="memItemLeft" align="right" valign="top">robust_logregr_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#af8efdd02ad3155411507bf786095a562">robust_logregr_step_final</a> (float8[] state)</td></tr>
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<tr class="memitem:a6a9290aafa048bcb7cdc13410d5814aa"><td class="memItemLeft" align="right" valign="top">aggregate robust_logregr_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a6a9290aafa048bcb7cdc13410d5814aa">robust_logregr</a> (boolean dependentVariable, float8[] independentVariables, float8[] coef)</td></tr>
<tr class="memdesc:a6a9290aafa048bcb7cdc13410d5814aa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute robust regression diagnostic statistics for logistic regression. <a href="#a6a9290aafa048bcb7cdc13410d5814aa">More...</a><br/></td></tr>
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<tr class="memitem:a0ecc7c0d9f900a8ebc1e24cdc7771531"><td class="memItemLeft" align="right" valign="top">CREATE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a0ecc7c0d9f900a8ebc1e24cdc7771531">__internal_get_robust_logregr_result</a> (source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input table, dependent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent variable, independent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent variable, logregr_coeffs DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[]--coeffs from logear regression) RETURNS MADlib.robust_logregr_result <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$DECLARE <a class="el" href="robust_8sql__in.html#a178ff2399964e468547d3042f40bfda3">robust_value</a> MADlib.robust_logregr_result</td></tr>
<tr class="memdesc:a0ecc7c0d9f900a8ebc1e24cdc7771531"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return robust logistic regression estimates given a set of coefficients. <a href="#a0ecc7c0d9f900a8ebc1e24cdc7771531">More...</a><br/></td></tr>
<tr class="separator:a0ecc7c0d9f900a8ebc1e24cdc7771531"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a395c46664a8f4f0018b4ea0e25c7abcc"><td class="memItemLeft" align="right" valign="top">BEGIN EXECUTE&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a395c46664a8f4f0018b4ea0e25c7abcc">SELECT</a> (<a class="el" href="robust_8sql__in.html#a6a9290aafa048bcb7cdc13410d5814aa">MADlib.robust_logregr</a>(('||dependent_varname|| ')::BOOLEAN, '||independent_varname|| ', '|| '<a class="el" href="robust_8sql__in.html#a510547c506e686972e73f497f0725d5c">ARRAY</a>['||array_to_string(logregr_coeffs, ',')|| '])).*FROM '||source_table INTO <a class="el" href="robust_8sql__in.html#a178ff2399964e468547d3042f40bfda3">robust_value</a></td></tr>
<tr class="separator:a395c46664a8f4f0018b4ea0e25c7abcc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a985f4f276477e1c1aa970396088f8dbc"><td class="memItemLeft" align="right" valign="top">CREATE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a985f4f276477e1c1aa970396088f8dbc">__internal_get_robust_logregr_insert_string</a> (robust_log_rst MADlib.robust_logregr_result, <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ad23a097af3f4c0dd14f17e7adc17e3be">TEXT</a>) RETURNS <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a> <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$DECLARE <a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a></td></tr>
<tr class="memdesc:a985f4f276477e1c1aa970396088f8dbc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return insert string for robust logistic regression. <a href="#a985f4f276477e1c1aa970396088f8dbc">More...</a><br/></td></tr>
<tr class="separator:a985f4f276477e1c1aa970396088f8dbc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a203e6d63225622078eb99f313f462296"><td class="memItemLeft" align="right" valign="top"><a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> ELSE <a class="el" href="robust_8sql__in.html#a1de54bd922161dd5c6a353647f448fd6">END</a> CASE&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a203e6d63225622078eb99f313f462296">WHEN</a> (robust_log_rst).std_err is <a class="el" href="robust_8sql__in.html#a1bcd2f9adc5825caadb97a9fe1838b8a">NULL</a> THEN '''</td></tr>
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<tr class="memitem:a8ae95592359e256816172d4a144f0ada"><td class="memItemLeft" align="right" valign="top">Interface CREATE OR REPLACE <br class="typebreak"/>
FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a8ae95592359e256816172d4a144f0ada">robust_variance_logregr</a> (usage_string <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#a0851cc2c2d38f8dea52cecc88add032d">usage</a> string) RETURNS <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a> <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$DECLARE <a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a></td></tr>
<tr class="separator:a8ae95592359e256816172d4a144f0ada"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9eaf5eb1da5a93b91c880dff15f4fc0a"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a9eaf5eb1da5a93b91c880dff15f4fc0a">robust_variance_logregr</a> () RETURNS <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a> <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$BEGIN RETURN MADlib.robust_variance_logregr('')</td></tr>
<tr class="separator:a9eaf5eb1da5a93b91c880dff15f4fc0a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a32377f329199fccc3e8c4f5bb42407e2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a32377f329199fccc3e8c4f5bb42407e2">robust_variance_logregr</a> (varchar source_table, varchar <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a>, varchar dependent_varname, varchar input_independent_varname, varchar <a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a>, integer <a class="el" href="robust_8sql__in.html#a41b730843a663cafbb2999f6f99ad89f">max_iter</a>, varchar <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a>, float8 <a class="el" href="robust_8sql__in.html#a56f2257a03c0f8e0f21ae6a78a57e261">tolerance</a>, boolean print_warnings)</td></tr>
<tr class="memdesc:a32377f329199fccc3e8c4f5bb42407e2"><td class="mdescLeft">&#160;</td><td class="mdescRight">The robust logistic regression function. <a href="#a32377f329199fccc3e8c4f5bb42407e2">More...</a><br/></td></tr>
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<tr class="memitem:a1ae2d14c33788833a832812b35c4c08c"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a1ae2d14c33788833a832812b35c4c08c">robust_variance_logregr</a> (source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>,--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input table <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>,--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output table <a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>,--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent variable <a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>,--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent variable <a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--grouping columns) RETURNS VOID <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$BEGIN PERFORM MADlib.robust_variance_logregr(source_table</td></tr>
<tr class="memdesc:a1ae2d14c33788833a832812b35c4c08c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Robust logistic function subcall. <a href="#a1ae2d14c33788833a832812b35c4c08c">More...</a><br/></td></tr>
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<tr class="memitem:af431a81d3e3e448cf2f5f26389e5b882"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#af431a81d3e3e448cf2f5f26389e5b882">robust_variance_logregr</a> (source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input table, <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output table, <a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent variable, <a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent variable) RETURNS VOID <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$BEGIN PERFORM MADlib.robust_variance_logregr(source_table</td></tr>
<tr class="memdesc:af431a81d3e3e448cf2f5f26389e5b882"><td class="mdescLeft">&#160;</td><td class="mdescRight">Robust logistic regression with default fit regression behavior, and no grouping,. <a href="#af431a81d3e3e448cf2f5f26389e5b882">More...</a><br/></td></tr>
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<tr class="memitem:ad06866bf1ec4a4d01d8c53f0b61c0d6a"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#ad06866bf1ec4a4d01d8c53f0b61c0d6a">robust_variance_logregr</a> (source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input table, <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output table, <a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent variable, <a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent variable, <a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--grouping columns, <a class="el" href="robust_8sql__in.html#a41b730843a663cafbb2999f6f99ad89f">max_iter</a> <a class="el" href="robust_8sql__in.html#a7960ede0da9ac3e60dbb3171fa116408">INTEGER</a>--max number of iterations) RETURNS VOID <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$BEGIN PERFORM MADlib.robust_variance_logregr(source_table</td></tr>
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<tr class="memitem:aef5fb28a06066de201d378451d925736"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#aef5fb28a06066de201d378451d925736">robust_variance_logregr</a> (source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input table, <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output table, <a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent variable, <a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent variable, <a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--grouping columns, <a class="el" href="robust_8sql__in.html#a41b730843a663cafbb2999f6f99ad89f">max_iter</a> <a class="el" href="robust_8sql__in.html#a7960ede0da9ac3e60dbb3171fa116408">INTEGER</a>--max number of iterations, <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--The <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a> used in the robust regression) RETURNS VOID <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$BEGIN PERFORM MADlib.robust_variance_logregr(source_table</td></tr>
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<tr class="memitem:a8f59e7cb68b9ea726166234cf7bb3d3b"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a8f59e7cb68b9ea726166234cf7bb3d3b">robust_variance_logregr</a> (source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input table, <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output table, <a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent variable, <a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent variable, <a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--grouping columns, <a class="el" href="robust_8sql__in.html#a41b730843a663cafbb2999f6f99ad89f">max_iter</a> <a class="el" href="robust_8sql__in.html#a7960ede0da9ac3e60dbb3171fa116408">INTEGER</a>--max number of iterations, <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--The <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a> used in the robust regression, <a class="el" href="robust_8sql__in.html#a56f2257a03c0f8e0f21ae6a78a57e261">tolerance</a> DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>--The <a class="el" href="robust_8sql__in.html#a56f2257a03c0f8e0f21ae6a78a57e261">tolerance</a> of the <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a>) RETURNS VOID <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> $$BEGIN PERFORM MADlib.robust_variance_logregr(source_table</td></tr>
<tr class="separator:a8f59e7cb68b9ea726166234cf7bb3d3b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adf477ff1e9c4e1b4b41f02986092cd12"><td class="memItemLeft" align="right" valign="top">ROBUST MULTINOMIAL LOGISTIC <br class="typebreak"/>
REGRESSION CREATE TYPE MADlib <br class="typebreak"/>
robust_mlogregr_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> (ref_category <a class="el" href="robust_8sql__in.html#a7960ede0da9ac3e60dbb3171fa116408">INTEGER</a>, coef DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[], std_err DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[], z_stats DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[], p_values DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[])</td></tr>
<tr class="separator:adf477ff1e9c4e1b4b41f02986092cd12"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a143a9555c6ec3169294511205f51cbfe"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a143a9555c6ec3169294511205f51cbfe">mlogregr_robust_step_transition</a> (state DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[], y <a class="el" href="robust_8sql__in.html#a7960ede0da9ac3e60dbb3171fa116408">INTEGER</a>, numCategories <a class="el" href="robust_8sql__in.html#a7960ede0da9ac3e60dbb3171fa116408">INTEGER</a>, ref_category <a class="el" href="robust_8sql__in.html#a7960ede0da9ac3e60dbb3171fa116408">INTEGER</a>, x DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[], coef DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[]) RETURNS DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[] <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> 'MODULE_PATHNAME'LANGUAGE C IMMUTABLE</td></tr>
<tr class="separator:a143a9555c6ec3169294511205f51cbfe"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6ee96e60e575662a3b8eabec00285666"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a6ee96e60e575662a3b8eabec00285666">mlogregr_robust_step_merge_states</a> (state1 DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[], state2 DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[]) RETURNS DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[] <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> 'MODULE_PATHNAME'LANGUAGE C IMMUTABLE STRICT</td></tr>
<tr class="separator:a6ee96e60e575662a3b8eabec00285666"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab7cf8088c1be03bb0b27024b1a4c6a11"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#ab7cf8088c1be03bb0b27024b1a4c6a11">mlogregr_robust_step_final</a> (state DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>[]) RETURNS MADlib.robust_mlogregr_result <a class="el" href="robust_8sql__in.html#adf477ff1e9c4e1b4b41f02986092cd12">AS</a> 'MODULE_PATHNAME'LANGUAGE C IMMUTABLE STRICT</td></tr>
<tr class="separator:ab7cf8088c1be03bb0b27024b1a4c6a11"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a111857acdd0f927160d24cbbc9fc1051"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a111857acdd0f927160d24cbbc9fc1051">robust_variance_mlogregr</a> (varchar source_table, varchar <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a>, varchar dependent_varname, varchar independent_varname, integer ref_category, varchar <a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a>, integer <a class="el" href="robust_8sql__in.html#a41b730843a663cafbb2999f6f99ad89f">max_iter</a>, varchar <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a>, float8 <a class="el" href="robust_8sql__in.html#a56f2257a03c0f8e0f21ae6a78a57e261">tolerance</a>, boolean print_warnings)</td></tr>
<tr class="memdesc:a111857acdd0f927160d24cbbc9fc1051"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute robust regression diagnostic statistics for multinomial logistic regression. <a href="#a111857acdd0f927160d24cbbc9fc1051">More...</a><br/></td></tr>
<tr class="separator:a111857acdd0f927160d24cbbc9fc1051"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
Variables</h2></td></tr>
<tr class="memitem:a178ff2399964e468547d3042f40bfda3"><td class="memItemLeft" align="right" valign="top">RETURN&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a178ff2399964e468547d3042f40bfda3">robust_value</a></td></tr>
<tr class="separator:a178ff2399964e468547d3042f40bfda3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3fd7bc595939824a52c5f7f75ce25de6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="robust_8sql__in.html#a1de54bd922161dd5c6a353647f448fd6">END</a> LANGUAGE plpgsql&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a3fd7bc595939824a52c5f7f75ce25de6">VOLATILE</a></td></tr>
<tr class="separator:a3fd7bc595939824a52c5f7f75ce25de6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7b0f0c1e8c404019f7d7378ab849df1b"><td class="memItemLeft" align="right" valign="top">BEGIN&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a></td></tr>
<tr class="separator:a7b0f0c1e8c404019f7d7378ab849df1b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a968dbd2983cc082eab6abb569928e605"><td class="memItemLeft" align="right" valign="top"><a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a968dbd2983cc082eab6abb569928e605">__pad0__</a></td></tr>
<tr class="separator:a968dbd2983cc082eab6abb569928e605"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a510547c506e686972e73f497f0725d5c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> ELSE&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a510547c506e686972e73f497f0725d5c">ARRAY</a> ['||array_to_string(linregr_coeffs, ',')|| ']</td></tr>
<tr class="separator:a510547c506e686972e73f497f0725d5c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1de54bd922161dd5c6a353647f448fd6"><td class="memItemLeft" align="right" valign="top">ELSE <a class="el" href="robust_8sql__in.html#a510547c506e686972e73f497f0725d5c">ARRAY</a>['||array_to_string((robust_lin_rst).p_values, ',')|| ']&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a1de54bd922161dd5c6a353647f448fd6">END</a></td></tr>
<tr class="separator:a1de54bd922161dd5c6a353647f448fd6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0851cc2c2d38f8dea52cecc88add032d"><td class="memItemLeft" align="right" valign="top">BEGIN <a class="el" href="robust_8sql__in.html#acede63ea5f809590ccf9745e97dc22c0">IF</a>(usage_string= ''OR <br class="typebreak"/>
usage_string= 'help'OR <br class="typebreak"/>
usage_string= '?') THEN <br class="typebreak"/>
<a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> n <a class="el" href="robust_8sql__in.html#a97d346086ed9d2e60c289731dada9cf5">E</a> For more <br class="typebreak"/>
details on function&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a0851cc2c2d38f8dea52cecc88add032d">usage</a></td></tr>
<tr class="separator:a0851cc2c2d38f8dea52cecc88add032d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a82fcb1d933c7219a1512a6984f536375"><td class="memItemLeft" align="right" valign="top">ELSIF(usage_string= '<a class="el" href="robust_8sql__in.html#a0851cc2c2d38f8dea52cecc88add032d">usage</a>') <br class="typebreak"/>
THEN <a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> n <a class="el" href="robust_8sql__in.html#a97d346086ed9d2e60c289731dada9cf5">E</a> n <a class="el" href="robust_8sql__in.html#a97d346086ed9d2e60c289731dada9cf5">E</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a82fcb1d933c7219a1512a6984f536375">Output</a></td></tr>
<tr class="separator:a82fcb1d933c7219a1512a6984f536375"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1cfe77aafc483ba75f9ed23fa3d4e594"><td class="memItemLeft" align="right" valign="top">ELSIF(usage_string= '<a class="el" href="robust_8sql__in.html#a0851cc2c2d38f8dea52cecc88add032d">usage</a>') <br class="typebreak"/>
THEN <a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> n <a class="el" href="robust_8sql__in.html#a97d346086ed9d2e60c289731dada9cf5">E</a> n <a class="el" href="robust_8sql__in.html#a97d346086ed9d2e60c289731dada9cf5">E</a> <br class="typebreak"/>
Coefficients of regression n <a class="el" href="robust_8sql__in.html#a97d346086ed9d2e60c289731dada9cf5">E</a> <br class="typebreak"/>
std_err DOUBLE&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a> []</td></tr>
<tr class="separator:a1cfe77aafc483ba75f9ed23fa3d4e594"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a97d346086ed9d2e60c289731dada9cf5"><td class="memItemLeft" align="right" valign="top">ELSIF(usage_string= '<a class="el" href="robust_8sql__in.html#a0851cc2c2d38f8dea52cecc88add032d">usage</a>') <br class="typebreak"/>
THEN <a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> n E n E <br class="typebreak"/>
Coefficients of regression n E <br class="typebreak"/>
std_err DOUBLE Huber White <br class="typebreak"/>
standard errors n E stats <br class="typebreak"/>
DOUBLE T stats of the standard <br class="typebreak"/>
errors n E p_values DOUBLE p <br class="typebreak"/>
values of the standard errors <br class="typebreak"/>
n E n&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a97d346086ed9d2e60c289731dada9cf5">E</a></td></tr>
<tr class="separator:a97d346086ed9d2e60c289731dada9cf5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acede63ea5f809590ccf9745e97dc22c0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="robust_8sql__in.html#a1de54bd922161dd5c6a353647f448fd6">END</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#acede63ea5f809590ccf9745e97dc22c0">IF</a></td></tr>
<tr class="separator:acede63ea5f809590ccf9745e97dc22c0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad796ffcdd0cedddda1ce679f7c6755cf"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a></td></tr>
<tr class="separator:ad796ffcdd0cedddda1ce679f7c6755cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:accf891d33d495d50d3fd7e6759e0f3d9"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a></td></tr>
<tr class="separator:accf891d33d495d50d3fd7e6759e0f3d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac549a1cded07545a9621f5abb153a68b"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a></td></tr>
<tr class="separator:ac549a1cded07545a9621f5abb153a68b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1bcd2f9adc5825caadb97a9fe1838b8a"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a1bcd2f9adc5825caadb97a9fe1838b8a">NULL</a></td></tr>
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<tr class="memitem:ac1e329885bab8979f75f09504889a900"><td class="memItemLeft" align="right" valign="top">group_cols&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a> []</td></tr>
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<tr class="memitem:aabcbd0c007c48ce9d552e2f531b83d64"><td class="memItemLeft" align="right" valign="top">robust_lin_rst MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#aabcbd0c007c48ce9d552e2f531b83d64">robust_linregr_result</a></td></tr>
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<tr class="memitem:a7960ede0da9ac3e60dbb3171fa116408"><td class="memItemLeft" align="right" valign="top">group_array_length&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a7960ede0da9ac3e60dbb3171fa116408">INTEGER</a></td></tr>
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<tr class="memitem:af51230f4a4c1c4528d7b13fbcb4b9539"><td class="memItemLeft" align="right" valign="top">BEGIN EXECUTE <a class="el" href="robust_8sql__in.html#a395c46664a8f4f0018b4ea0e25c7abcc">SELECT</a> setting <br class="typebreak"/>
FROM pg_settings WHERE&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> =''client_min_messages''' INTO old_msg_level</td></tr>
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<tr class="memitem:a8d3dea5d573ff20feac1531a47bd6ce5"><td class="memItemLeft" align="right" valign="top">EXECUTE SET client_min_messages TO&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a8d3dea5d573ff20feac1531a47bd6ce5">warning</a></td></tr>
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<tr class="memitem:a7d5c745792d1d6dbb8b10e86751529e3"><td class="memItemLeft" align="right" valign="top">independent_varname&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a7d5c745792d1d6dbb8b10e86751529e3">__pad1__</a></td></tr>
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<tr class="memitem:a5b7846e332ed5977417fb6150c826e75"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a></td></tr>
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<tr class="memitem:aef65f6991b54dc3fe364f1ba10588507"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#aef65f6991b54dc3fe364f1ba10588507">irls</a></td></tr>
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<tr class="memitem:a52a15f4c9703572dcd876c13438e2135"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a52a15f4c9703572dcd876c13438e2135">FALSE</a></td></tr>
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<tr class="memitem:a41b730843a663cafbb2999f6f99ad89f"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a41b730843a663cafbb2999f6f99ad89f">max_iter</a></td></tr>
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<tr class="memitem:a7f6d9ad99f83891c797f66843bd9500d"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a></td></tr>
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<tr class="memitem:a56f2257a03c0f8e0f21ae6a78a57e261"><td class="memItemLeft" align="right" valign="top">CREATE OR REPLACE FUNCTION MADlib&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="robust_8sql__in.html#a56f2257a03c0f8e0f21ae6a78a57e261">tolerance</a></td></tr>
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</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><dl class="section date"><dt>Date</dt><dd>January 2011</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>Calculates robust statistics for various regression models. </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="a178569b5984ba23c688179bbbb3e12c7"></a>
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<td class="memname">CREATE FUNCTION MADlib __internal_get_robust_linregr_insert_string </td>
<td>(</td>
<td class="paramtype">robust_lin_rst MADlib.&#160;</td>
<td class="paramname"><em>robust_linregr_result</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">linregr_coeffs DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>--[]coeffs from linear&#160;</td>
<td class="paramname"><em>regression</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a>&#160;</td>
<td class="paramname"><em>TEXT</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
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<td class="memname">CREATE FUNCTION MADlib __internal_get_robust_linregr_result </td>
<td>(</td>
<td class="paramtype">source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">dependent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">independent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">linregr_coeffs DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>--[]coeffs from linear&#160;</td>
<td class="paramname"><em>regression</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</table>
</div><div class="memdoc">
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<td class="memname">CREATE FUNCTION MADlib __internal_get_robust_logregr_insert_string </td>
<td>(</td>
<td class="paramtype">robust_log_rst MADlib.&#160;</td>
<td class="paramname"><em>robust_logregr_result</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a>&#160;</td>
<td class="paramname"><em>TEXT</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</div><div class="memdoc">
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<td class="memname">CREATE FUNCTION MADlib __internal_get_robust_logregr_result </td>
<td>(</td>
<td class="paramtype">source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">dependent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">independent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">logregr_coeffs DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>--[]coeffs from logear&#160;</td>
<td class="paramname"><em>regression</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</table>
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<td class="memname">ROBUST MULTINOMIAL LOGISTIC REGRESSION CREATE TYPE MADlib robust_mlogregr_result AS </td>
<td>(</td>
<td class="paramtype">ref_category&#160;</td>
<td class="paramname"><em>INTEGER</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">coef DOUBLE&#160;</td>
<td class="paramname"><em>PRECISION</em>[], </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">std_err DOUBLE&#160;</td>
<td class="paramname"><em>PRECISION</em>[], </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">z_stats DOUBLE&#160;</td>
<td class="paramname"><em>PRECISION</em>[], </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">p_values DOUBLE&#160;</td>
<td class="paramname"><em>PRECISION</em>[]&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib mlogregr_robust_step_final </td>
<td>(</td>
<td class="paramtype">state DOUBLE&#160;</td>
<td class="paramname"><em>PRECISION</em>[])</td><td></td>
<td></td>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib mlogregr_robust_step_merge_states </td>
<td>(</td>
<td class="paramtype">state1 DOUBLE&#160;</td>
<td class="paramname"><em>PRECISION</em>[], </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">state2 DOUBLE&#160;</td>
<td class="paramname"><em>PRECISION</em>[]&#160;</td>
</tr>
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<td>)</td>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib mlogregr_robust_step_transition </td>
<td>(</td>
<td class="paramtype">state DOUBLE&#160;</td>
<td class="paramname"><em>PRECISION</em>[], </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">y&#160;</td>
<td class="paramname"><em>INTEGER</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">numCategories&#160;</td>
<td class="paramname"><em>INTEGER</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ref_category&#160;</td>
<td class="paramname"><em>INTEGER</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">x DOUBLE&#160;</td>
<td class="paramname"><em>PRECISION</em>[], </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">coef DOUBLE&#160;</td>
<td class="paramname"><em>PRECISION</em>[]&#160;</td>
</tr>
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<td>)</td>
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<td class="memname">void robust_input_checking </td>
<td>(</td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>source_table</em>, </td>
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<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>out_table</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>dependent_varname</em>, </td>
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<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>independent_varname</em>&#160;</td>
</tr>
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<td>)</td>
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<td class="memname">PERFORM MADlib robust_input_checking </td>
<td>(</td>
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<td class="paramtype"><a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a>&#160;</td>
<td class="paramname">, </td>
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<td class="paramtype">dependent_varname&#160;</td>
<td class="paramname">, </td>
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<td class="paramtype">input_independent_varname&#160;</td>
<td class="paramname">&#160;</td>
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<td class="memname">aggregate <a class="el" href="robust_8sql__in.html#aabcbd0c007c48ce9d552e2f531b83d64">robust_linregr_result</a> robust_linregr </td>
<td>(</td>
<td class="paramtype">float8&#160;</td>
<td class="paramname"><em>dependentVariable</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>independentVariables</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>coef</em>&#160;</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">dependentVariable</td><td>Column containing the dependent variable </td></tr>
<tr><td class="paramname">independentVariables</td><td>Column containing the array of independent variables </td></tr>
<tr><td class="paramname">coef</td><td>Column containing the array of the OLS coefficients (as obtained by linregr)</td></tr>
</table>
</dd>
</dl>
<dl class="section user"><dt></dt><dd>To include an intercept in the model, set one coordinate in the <code>independentVariables</code> array to 1.</dd></dl>
<dl class="section return"><dt>Returns</dt><dd>A composite value:<ul>
<li><code>std_err FLOAT8[]</code> - Array of huber-white standard errors, \( \mathit{se}(c_1), \dots, \mathit{se}(c_k) \)</li>
<li><code>t_stats FLOAT8[]</code> - Array of t-statistics, \( \boldsymbol t \)</li>
<li><code>p_values FLOAT8[]</code> - Array of p-values, \( \boldsymbol p \)</li>
</ul>
</dd></dl>
<dl class="section user"><dt>Usage</dt><dd><ul>
<li>Get all the diagnostic statistics:<br/>
</li>
</ul>
</dd></dl>
<pre> SELECT (robust_linregr(<em>dependentVariable</em>,
<em>independentVariables</em>, coef)).*
FROM (
SELECT linregr(<em>dependentVariable</em>, <em>independentVariables</em>).coef
) AS ols_coef, <em>sourceName</em> as src;
</pre><ul>
<li>Get a subset of the output columns, e.g., only the condition number and the array of p-values \( \boldsymbol p \): <pre>SELECT (lr).robust_condition_no, (lr).robust_p_values
FROM (
</pre> <pre> SELECT (robust_linregr(<em>dependentVariable</em>,
<em>independentVariables</em>, coef)).*
FROM (
SELECT linregr(<em>dependentVariable</em>, <em>independentVariables</em>).coef
) AS ols_coef, <em>sourceName</em> as src
) AS subq;</pre> </li>
</ul>
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<td class="memname"><a class="el" href="robust_8sql__in.html#aabcbd0c007c48ce9d552e2f531b83d64">robust_linregr_result</a> robust_linregr_final </td>
<td>(</td>
<td class="paramtype">bytea8&#160;</td>
<td class="paramname"><em>state</em>)</td><td></td>
<td></td>
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<td class="memname">bytea8 robust_linregr_merge_states </td>
<td>(</td>
<td class="paramtype">bytea8&#160;</td>
<td class="paramname"><em>state1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">bytea8&#160;</td>
<td class="paramname"><em>state2</em>&#160;</td>
</tr>
<tr>
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<td>)</td>
<td></td><td></td>
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<td class="memname">bytea8 robust_linregr_transition </td>
<td>(</td>
<td class="paramtype">bytea8&#160;</td>
<td class="paramname"><em>state</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>coef</em>&#160;</td>
</tr>
<tr>
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<td>)</td>
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<td class="memname">aggregate robust_logregr_result robust_logregr </td>
<td>(</td>
<td class="paramtype">boolean&#160;</td>
<td class="paramname"><em>dependentVariable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>independentVariables</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>coef</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</table>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">dependentVariable</td><td>Column containing the dependent variable </td></tr>
<tr><td class="paramname">independentVariables</td><td>Column containing the array of independent variables </td></tr>
<tr><td class="paramname">coef</td><td>Column containing the array of the coefficients (as obtained by logregr)</td></tr>
</table>
</dd>
</dl>
<dl class="section user"><dt></dt><dd>To include an intercept in the model, set one coordinate in the <code>independentVariables</code> array to 1.</dd></dl>
<dl class="section return"><dt>Returns</dt><dd>A composite value:<ul>
<li><code>coef FLOAT8[] </code> - The coefficients for the regression</li>
<li><code>std_err FLOAT8[]</code> - Array of huber-white standard errors, \( \mathit{se}(c_1), \dots, \mathit{se}(c_k) \)</li>
<li><code>z_stats FLOAT8[]</code> - Array of Wald z-statistics, \( \boldsymbol t \)</li>
<li><code>p_values FLOAT8[]</code> - Array of p-values, \( \boldsymbol p \)</li>
</ul>
</dd></dl>
<dl class="section user"><dt>Usage</dt><dd><ul>
<li>Get all the diagnostic statistics:<br/>
</li>
</ul>
</dd></dl>
<pre> SELECT robust_logregr(<em>dependentVariable</em>,
<em>independentVariables</em>, coef)
FROM <em>dataTable</em>;
</pre>
</div>
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<td class="memname">robust_logregr_result robust_logregr_step_final </td>
<td>(</td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>state</em>)</td><td></td>
<td></td>
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<td class="memname">float8 [] robust_logregr_step_merge_states </td>
<td>(</td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>state1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>state2</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</table>
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<td class="memname">This code should be added back in should* support be implemented float8 [] robust_logregr_step_transition </td>
<td>(</td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>state</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">boolean&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>coef</em>&#160;</td>
</tr>
<tr>
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<td>)</td>
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<td class="memname">Interface CREATE OR REPLACE FUNCTION MADlib robust_variance_linregr </td>
<td>(</td>
<td class="paramtype">usage_string <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#a0851cc2c2d38f8dea52cecc88add032d">usage</a>&#160;</td>
<td class="paramname"><em>string</em>)</td><td></td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib robust_variance_linregr </td>
<td>(</td>
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<td></td>
</tr>
</table>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib robust_variance_linregr </td>
<td>(</td>
<td class="paramtype">source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent&#160;</td>
<td class="paramname"><em>variable</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
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<td class="memname">Robust Linear Regression CREATE OR REPLACE FUNCTION MADlib robust_variance_linregr </td>
<td>(</td>
<td class="paramtype">source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">dependent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">input_independent_varname <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--grouping&#160;</td>
<td class="paramname"><em>columns</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<td class="memname">Interface CREATE OR REPLACE FUNCTION MADlib robust_variance_logregr </td>
<td>(</td>
<td class="paramtype">usage_string <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#a0851cc2c2d38f8dea52cecc88add032d">usage</a>&#160;</td>
<td class="paramname"><em>string</em>)</td><td></td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib robust_variance_logregr </td>
<td>(</td>
<td class="paramname">)</td><td></td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
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<td class="memname">void robust_variance_logregr </td>
<td>(</td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>source_table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>out_table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>dependent_varname</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>input_independent_varname</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>input_group_cols</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">integer&#160;</td>
<td class="paramname"><em>max_iter</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>optimizer</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8&#160;</td>
<td class="paramname"><em>tolerance</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">boolean&#160;</td>
<td class="paramname"><em>print_warnings</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">source_table</td><td>String identifying the input table </td></tr>
<tr><td class="paramname">out_table</td><td>String identifying the output table to be created </td></tr>
<tr><td class="paramname">dependent_varname</td><td>Column containing the dependent variable </td></tr>
<tr><td class="paramname">independent_varname</td><td>Column containing the array of independent variables </td></tr>
<tr><td class="paramname">input_group_cols</td><td>Columns to group by. </td></tr>
<tr><td class="paramname">max_iter</td><td>Integer identifying the maximum iterations used by the logistic regression solver. Default is 20. </td></tr>
<tr><td class="paramname">optimizer</td><td>String identifying the optimizer used in the logistic regression. See the documentation in the logistic regression for the available options. Default is irls. </td></tr>
<tr><td class="paramname">tolerance</td><td>Float identifying the tolerance of the logistic regression optimizer. Default is 0.0001. </td></tr>
<tr><td class="paramname">print_warnings</td><td>Boolean specifying if the regression fit should print any warning messages. Default is false. </td></tr>
</table>
</dd>
</dl>
<dl class="section user"><dt></dt><dd>To include an intercept in the model, set one coordinate in the <code>independent_varname</code> array to 1.</dd></dl>
<dl class="section return"><dt>Returns</dt><dd>A composite value:<ul>
<li><code>std_err FLOAT8[]</code> - Array of huber-white standard errors, \( \mathit{se}(c_1), \dots, \mathit{se}(c_k) \)</li>
<li><code>t_stats FLOAT8[]</code> - Array of t-statistics, \( \boldsymbol t \)</li>
<li><code>p_values FLOAT8[]</code> - Array of p-values, \( \boldsymbol p \)</li>
</ul>
</dd></dl>
<dl class="section user"><dt>Usage</dt><dd>For function summary information. Run sql&gt; select robust_variance_logregr('help'); OR sql&gt; select <a class="el" href="robust_8sql__in.html#a8ae95592359e256816172d4a144f0ada">robust_variance_logregr()</a>; OR sql&gt; select robust_variance_logregr('?'); For function usage information. Run sql&gt; select robust_variance_logregr('usage');<ul>
<li>Compute the coefficients, and the get the robust diagnostic statistics: <pre>
select robust_variance_logregr(source_table, out_table, regression_type, dependentVariable, independentVariables, NULL );
</pre></li>
<li>If the coefficients are already known, they can be provided directly <pre>select robust_variance_logregr(source_table, out_table, regression_type, dependentVariable, independentVariables, coef );
</pre> </li>
</ul>
</dd></dl>
</div>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib robust_variance_logregr </td>
<td>(</td>
<td class="paramtype">source_table&#160;</td>
<td class="paramname"><em>VARCHAR</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input table <a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a>&#160;</td>
<td class="paramname"><em>VARCHAR</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output table <a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a>&#160;</td>
<td class="paramname"><em>VARCHAR</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent variable <a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a>&#160;</td>
<td class="paramname"><em>VARCHAR</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent variable <a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--grouping&#160;</td>
<td class="paramname"><em>columns</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
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</div>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib robust_variance_logregr </td>
<td>(</td>
<td class="paramtype">source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent&#160;</td>
<td class="paramname"><em>variable</em>&#160;</td>
</tr>
<tr>
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<td>)</td>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib robust_variance_logregr </td>
<td>(</td>
<td class="paramtype">source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--grouping&#160;</td>
<td class="paramname"><em>columns</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#a41b730843a663cafbb2999f6f99ad89f">max_iter</a> <a class="el" href="robust_8sql__in.html#a7960ede0da9ac3e60dbb3171fa116408">INTEGER</a>--max number of&#160;</td>
<td class="paramname"><em>iterations</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib robust_variance_logregr </td>
<td>(</td>
<td class="paramtype">source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--grouping&#160;</td>
<td class="paramname"><em>columns</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#a41b730843a663cafbb2999f6f99ad89f">max_iter</a> <a class="el" href="robust_8sql__in.html#a7960ede0da9ac3e60dbb3171fa116408">INTEGER</a>--max number of&#160;</td>
<td class="paramname"><em>iterations</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--The <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a> used in the robust&#160;</td>
<td class="paramname"><em>regression</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib robust_variance_logregr </td>
<td>(</td>
<td class="paramtype">source_table <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of input&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ad796ffcdd0cedddda1ce679f7c6755cf">out_table</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of output&#160;</td>
<td class="paramname"><em>table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#accf891d33d495d50d3fd7e6759e0f3d9">dependent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of dependent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#ac549a1cded07545a9621f5abb153a68b">independent_variable</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--<a class="el" href="robust_8sql__in.html#af51230f4a4c1c4528d7b13fbcb4b9539">name</a> of independent&#160;</td>
<td class="paramname"><em>variable</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#a5b7846e332ed5977417fb6150c826e75">input_group_cols</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--grouping&#160;</td>
<td class="paramname"><em>columns</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#a41b730843a663cafbb2999f6f99ad89f">max_iter</a> <a class="el" href="robust_8sql__in.html#a7960ede0da9ac3e60dbb3171fa116408">INTEGER</a>--max number of&#160;</td>
<td class="paramname"><em>iterations</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a> <a class="el" href="robust_8sql__in.html#ac1e329885bab8979f75f09504889a900">VARCHAR</a>--The <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a> used in the robust&#160;</td>
<td class="paramname"><em>regression</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="robust_8sql__in.html#a56f2257a03c0f8e0f21ae6a78a57e261">tolerance</a> DOUBLE <a class="el" href="robust_8sql__in.html#a1cfe77aafc483ba75f9ed23fa3d4e594">PRECISION</a>--The <a class="el" href="robust_8sql__in.html#a56f2257a03c0f8e0f21ae6a78a57e261">tolerance</a> of the&#160;</td>
<td class="paramname"><em>optimizer</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<td class="memname">void robust_variance_mlogregr </td>
<td>(</td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>source_table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>out_table</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>dependent_varname</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>independent_varname</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">integer&#160;</td>
<td class="paramname"><em>ref_category</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>input_group_cols</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">integer&#160;</td>
<td class="paramname"><em>max_iter</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>optimizer</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8&#160;</td>
<td class="paramname"><em>tolerance</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">boolean&#160;</td>
<td class="paramname"><em>print_warnings</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">source_table</td><td>name of input table, VARCHAR </td></tr>
<tr><td class="paramname">out_table</td><td>name of output table, VARCHAR </td></tr>
<tr><td class="paramname">dependent_varname</td><td>dependent variable, VARCHAR </td></tr>
<tr><td class="paramname">independent_varname</td><td>independent variables, VARCHAR </td></tr>
<tr><td class="paramname">ref_category</td><td>Integer specifying the reference category. Default is 0. </td></tr>
<tr><td class="paramname">grouping_cols</td><td>grouping variables, VARCHAR. Default is NULL. Currently a placeholder. </td></tr>
<tr><td class="paramname">max_iter</td><td>Integer identifying the maximum iterations used by the logistic regression solver. Default is 20. </td></tr>
<tr><td class="paramname">optimizer</td><td>String identifying the optimizer used in the multinomial logistic regression. See the documentation in the multinomial logistic regression for the available options. Default is 'irls'. </td></tr>
<tr><td class="paramname">tolerance</td><td>Float identifying the tolerance of the multinomial logistic regression optimizer. Default is 0.0001. </td></tr>
<tr><td class="paramname">print_warnings</td><td>Boolean specifying if the multinomial logistic regression solver should print any warnings. Currently a placeholder.</td></tr>
</table>
</dd>
</dl>
<dl class="section user"><dt></dt><dd>To include an intercept in the model, set one coordinate in the <code>independentVariables</code> array to 1.</dd></dl>
<dl class="section user"><dt>Usage</dt><dd><pre>
SELECT madlib.robust_variance_mlogregr(
<em>'source_table'</em>, -- name of input table, VARCHAR
<em>'out_table'</em>, -- name of output table, VARCHAR
<em>'dependent_varname'</em>, -- dependent variable, VARCHAR
<em>'independent_varname'</em>, -- independent variables, VARCHAR
<em>ref_category</em>, -- [OPTIONAL] Integer specifying the reference category. Default is 0.
<em>'grouping_cols'</em>, -- [OPTIONAL] grouping variables, VARCHAR. Default is NULL.
<em>max_iter</em>, -- [OPTIONAL] Integer identifying the maximum iterations used by the logistic regression solver. Default is 20.
<em>'optimizer'</em>, -- [OPTIONAL] String identifying the optimizer used in the multinomial logistic regression. See the documentation in the multinomial logistic regression for the available options. Default is irls.
<em>tolerance</em>, -- [OPTIONAL] Float identifying the tolerance of the multinomial logistic regression optimizer. Default is 0.0001.
<em>print_warnings</em> -- [OPTIONAL] Boolean specifying if the regression fit should print any warning messages. Default is false.
);
</pre></dd></dl>
<dl class="section return"><dt>Returns</dt><dd>A composite value:<ul>
<li><code>ref_category INTEGER</code> - The reference category</li>
<li><code>coef FLOAT8[] </code> - The coefficients for the regression</li>
<li><code>std_err FLOAT8[]</code> - Array of huber-white standard errors,</li>
<li><code>z_stats FLOAT8[]</code> - Array of Wald z-statistics,</li>
<li><code>p_values FLOAT8[]</code> - Array of p-values, </li>
</ul>
</dd></dl>
</div>
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<td class="memname">BEGIN EXECUTE SELECT </td>
<td>(</td>
<td class="paramtype">MADlib.&#160;</td>
<td class="paramname"><em>robust_linregr</em>'||dependent_varname|| ', '||independent_varname|| ', '|| 'ARRAY['||array_to_string(linregr_coeffs, ',')|| '])</td><td></td>
<td></td>
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<td class="memname">BEGIN EXECUTE SELECT </td>
<td>(</td>
<td class="paramtype">MADlib.&#160;</td>
<td class="paramname"><em>robust_logregr</em>('||dependent_varname|| ')::BOOLEAN, '||independent_varname|| ', '|| 'ARRAY['||array_to_string(logregr_coeffs, ',')|| '])</td><td></td>
<td></td>
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<td class="paramtype">robust_lin_rst&#160;</td>
<td class="paramname">)</td><td></td>
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<td class="memname">ELSE <a class="el" href="robust_8sql__in.html#a1de54bd922161dd5c6a353647f448fd6">END</a> CASE WHEN </td>
<td>(</td>
<td class="paramtype">robust_log_rst&#160;</td>
<td class="paramname">)</td><td></td>
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<h2 class="groupheader">Variable Documentation</h2>
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<td class="memname"><a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> __pad0__</td>
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<td class="memname">independent_varname __pad1__</td>
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<td class="memname"><a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> __pad2__</td>
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<td class="memname">ELSE ARRAY</td>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib dependent_variable</td>
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</div>
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<td class="memname">ELSIF (usage_string = '<a class="el" href="robust_8sql__in.html#a0851cc2c2d38f8dea52cecc88add032d">usage</a>') THEN <a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> n E n E Coefficients of regression n E std_err DOUBLE Huber White standard errors n E stats DOUBLE Z stats of the standard errors n E p_values DOUBLE p values of the standard errors n E n E</td>
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</table>
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<td class="memname">END</td>
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<td class="memname"><a class="el" href="robust_8sql__in.html#a1de54bd922161dd5c6a353647f448fd6">END</a> IF</td>
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<td class="memname">BEGIN EXECUTE <a class="el" href="robust_8sql__in.html#a395c46664a8f4f0018b4ea0e25c7abcc">SELECT</a> setting FROM pg_settings WHERE name =''client_min_messages''' INTO old_msg_level</td>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib NULL</td>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib out_table</td>
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<td class="memname">ELSIF (usage_string = '<a class="el" href="robust_8sql__in.html#a0851cc2c2d38f8dea52cecc88add032d">usage</a>') THEN <a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> n <a class="el" href="robust_8sql__in.html#a97d346086ed9d2e60c289731dada9cf5">E</a> n <a class="el" href="robust_8sql__in.html#a97d346086ed9d2e60c289731dada9cf5">E</a> Output</td>
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<td class="memname">regr_coef DOUBLE PRECISION</td>
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<td class="memname">CREATE OR REPLACE FUNCTION MADlib tolerance</td>
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<td class="memname">BEGIN <a class="el" href="robust_8sql__in.html#acede63ea5f809590ccf9745e97dc22c0">IF</a> (usage_string = '' OR usage_string = 'help' OR usage_string = '?') THEN <a class="el" href="robust_8sql__in.html#a7b0f0c1e8c404019f7d7378ab849df1b">insert_string</a> n <a class="el" href="robust_8sql__in.html#a97d346086ed9d2e60c289731dada9cf5">E</a> For more details on function usage</td>
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<td class="memname">independent_varname VARCHAR</td>
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<td class="memname">EXECUTE SET client_min_messages TO warning</td>
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