<!DOCTYPE html><html lang="en"><head><meta charSet="utf-8"/><meta http-equiv="X-UA-Compatible" content="IE=edge"/><title>Stats aggregator · Apache Druid</title><meta name="viewport" content="width=device-width"/><link rel="canonical" href="https://druid.apache.org/docs/0.16.1-incubating/development/extensions-core/stats.html"/><meta name="generator" content="Docusaurus"/><meta name="description" content="&lt;!--"/><meta name="docsearch:language" content="en"/><meta name="docsearch:version" content="0.16.1-incubating" /><meta property="og:title" content="Stats aggregator · Apache Druid"/><meta property="og:type" content="website"/><meta property="og:url" content="https://druid.apache.org/index.html"/><meta property="og:description" content="&lt;!--"/><meta property="og:image" content="https://druid.apache.org/img/druid_nav.png"/><meta name="twitter:card" content="summary"/><meta name="twitter:image" content="https://druid.apache.org/img/druid_nav.png"/><link rel="shortcut icon" href="/img/favicon.png"/><link rel="stylesheet" href="https://cdn.jsdelivr.net/docsearch.js/1/docsearch.min.css"/><link rel="stylesheet" href="//cdnjs.cloudflare.com/ajax/libs/highlight.js/9.12.0/styles/default.min.css"/><script async="" src="https://www.googletagmanager.com/gtag/js?id=UA-131010415-1"></script><script>
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width="24" height="24" viewBox="0 0 24 24"><path fill="#565656" d="M7.41 15.41L12 10.83l4.59 4.58L18 14l-6-6-6 6z"></path><path d="M0 0h24v24H0z" fill="none"></path></svg></span></h3><ul class="hide"><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/misc/math-expr.html">Expressions</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/misc/papers-and-talks.html">Papers</a></li></ul></div><div class="navGroup"><h3 class="navGroupCategoryTitle collapsible">Hidden<span class="arrow"><svg width="24" height="24" viewBox="0 0 24 24"><path fill="#565656" d="M7.41 15.41L12 10.83l4.59 4.58L18 14l-6-6-6 6z"></path><path d="M0 0h24v24H0z" fill="none"></path></svg></span></h3><ul class="hide"><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/comparisons/druid-vs-elasticsearch.html">Apache Druid vs Elasticsearch</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/comparisons/druid-vs-key-value.html">Apache Druid vs. Key/Value Stores (HBase/Cassandra/OpenTSDB)</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/comparisons/druid-vs-kudu.html">Apache Druid vs Kudu</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/comparisons/druid-vs-redshift.html">Apache Druid vs Redshift</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/comparisons/druid-vs-spark.html">Apache Druid vs Spark</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/comparisons/druid-vs-sql-on-hadoop.html">Apache Druid vs SQL-on-Hadoop</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/design/auth.html">Authentication and Authorization</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/design/broker.html">Broker</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/design/coordinator.html">Coordinator Process</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/design/historical.html">Historical Process</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/design/indexer.html">Indexer Process</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/design/indexing-service.html">Indexing Service</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/design/middlemanager.html">MiddleManager Process</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/design/overlord.html">Overlord Process</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/design/router.html">Router Process</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/design/peons.html">Peons</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/approximate-histograms.html">Approximate Histogram aggregators</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/avro.html">Apache Avro</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/bloom-filter.html">Bloom Filter</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/datasketches-extension.html">DataSketches extension</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/datasketches-hll.html">DataSketches HLL Sketch module</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/datasketches-quantiles.html">DataSketches Quantiles Sketch module</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/datasketches-theta.html">DataSketches Theta Sketch module</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/datasketches-tuple.html">DataSketches Tuple Sketch module</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/druid-basic-security.html">Basic Security</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/druid-kerberos.html">Kerberos</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/druid-lookups.html">Cached Lookup Module</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-core/google.html">Google Cloud Storage</a></li><li class="navListItem"><a class="navItem" 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context</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/querying/searchqueryspec.html">Refining search queries</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/querying/sorting-orders.html">Sorting Orders</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/querying/topnmetricspec.html">TopNMetricSpec</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/querying/virtual-columns.html">Virtual Columns</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-contrib/influx.html">InfluxDB Line Protocol Parser</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-contrib/influxdb-emitter.html">InfluxDB Emitter</a></li><li class="navListItem"><a class="navItem" href="/docs/0.16.1-incubating/development/extensions-contrib/kafka-emitter.html">Kafka Emitter</a></li><li 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<p>This Apache Druid (incubating) extension includes stat-related aggregators, including variance and standard deviations, etc. Make sure to <a href="/docs/0.16.1-incubating/development/extensions.html#loading-extensions">include</a> <code>druid-stats</code> as an extension.</p>
<h2><a class="anchor" aria-hidden="true" id="variance-aggregator"></a><a href="#variance-aggregator" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>Variance aggregator</h2>
<p>Algorithm of the aggregator is the same with that of apache hive. This is the description in GenericUDAFVariance in hive.</p>
<p>Evaluate the variance using the algorithm described by Chan, Golub, and LeVeque in
&quot;Algorithms for computing the sample variance: analysis and recommendations&quot;
The American Statistician, 37 (1983) pp. 242--247.</p>
<p>variance = variance1 + variance2 + n/(m<em>(m+n)) * pow(((m/n)</em>t1 - t2),2)</p>
<p>where: - variance is sum(x-avg^2) (this is actually n times the variance)
and is updated at every step. - n is the count of elements in chunk1 - m is
the count of elements in chunk2 - t1 = sum of elements in chunk1, t2 =
sum of elements in chunk2.</p>
<p>This algorithm was proven to be numerically stable by J.L. Barlow in
&quot;Error analysis of a pairwise summation algorithm to compute sample variance&quot;
Numer. Math, 58 (1991) pp. 583--590</p>
<h3><a class="anchor" aria-hidden="true" id="pre-aggregating-variance-at-ingestion-time"></a><a href="#pre-aggregating-variance-at-ingestion-time" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>Pre-aggregating variance at ingestion time</h3>
<p>To use this feature, an &quot;variance&quot; aggregator must be included at indexing time.
The ingestion aggregator can only apply to numeric values. If you use &quot;variance&quot;
then any input rows missing the value will be considered to have a value of 0.</p>
<p>User can specify expected input type as one of &quot;float&quot;, &quot;long&quot;, &quot;variance&quot; for ingestion, which is by default &quot;float&quot;.</p>
<pre><code class="hljs css language-json">{
  <span class="hljs-attr">"type"</span> : <span class="hljs-string">"variance"</span>,
  <span class="hljs-attr">"name"</span> : &lt;output_name&gt;,
  <span class="hljs-attr">"fieldName"</span> : &lt;metric_name&gt;,
  <span class="hljs-attr">"inputType"</span> : &lt;input_type&gt;,
  <span class="hljs-attr">"estimator"</span> : &lt;string&gt;
}
</code></pre>
<p>To query for results, &quot;variance&quot; aggregator with &quot;variance&quot; input type or simply a &quot;varianceFold&quot; aggregator must be included in the query.</p>
<pre><code class="hljs css language-json">{
  <span class="hljs-attr">"type"</span> : <span class="hljs-string">"varianceFold"</span>,
  <span class="hljs-attr">"name"</span> : &lt;output_name&gt;,
  <span class="hljs-attr">"fieldName"</span> : &lt;metric_name&gt;,
  <span class="hljs-attr">"estimator"</span> : &lt;string&gt;
}
</code></pre>
<table>
<thead>
<tr><th>Property</th><th>Description</th><th>Default</th></tr>
</thead>
<tbody>
<tr><td><code>estimator</code></td><td>Set &quot;population&quot; to get variance_pop rather than variance_sample, which is default.</td><td>null</td></tr>
</tbody>
</table>
<h3><a class="anchor" aria-hidden="true" id="standard-deviation-post-aggregator"></a><a href="#standard-deviation-post-aggregator" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>Standard deviation post-aggregator</h3>
<p>To acquire standard deviation from variance, user can use &quot;stddev&quot; post aggregator.</p>
<pre><code class="hljs css language-json">{
  <span class="hljs-attr">"type"</span>: <span class="hljs-string">"stddev"</span>,
  <span class="hljs-attr">"name"</span>: <span class="hljs-string">"&lt;output_name&gt;"</span>,
  <span class="hljs-attr">"fieldName"</span>: <span class="hljs-string">"&lt;aggregator_name&gt;"</span>,
  <span class="hljs-attr">"estimator"</span>: &lt;string&gt;
}
</code></pre>
<h2><a class="anchor" aria-hidden="true" id="query-examples"></a><a href="#query-examples" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>Query examples:</h2>
<h3><a class="anchor" aria-hidden="true" id="timeseries-query"></a><a href="#timeseries-query" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>Timeseries query</h3>
<pre><code class="hljs css language-json">{
  <span class="hljs-attr">"queryType"</span>: <span class="hljs-string">"timeseries"</span>,
  <span class="hljs-attr">"dataSource"</span>: <span class="hljs-string">"testing"</span>,
  <span class="hljs-attr">"granularity"</span>: <span class="hljs-string">"day"</span>,
  <span class="hljs-attr">"aggregations"</span>: [
    {
      <span class="hljs-attr">"type"</span>: <span class="hljs-string">"variance"</span>,
      <span class="hljs-attr">"name"</span>: <span class="hljs-string">"index_var"</span>,
      <span class="hljs-attr">"fieldName"</span>: <span class="hljs-string">"index_var"</span>
    }
  ],
  <span class="hljs-attr">"intervals"</span>: [
    <span class="hljs-string">"2016-03-01T00:00:00.000/2013-03-20T00:00:00.000"</span>
  ]
}
</code></pre>
<h3><a class="anchor" aria-hidden="true" id="topn-query"></a><a href="#topn-query" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>TopN query</h3>
<pre><code class="hljs css language-json">{
  <span class="hljs-attr">"queryType"</span>: <span class="hljs-string">"topN"</span>,
  <span class="hljs-attr">"dataSource"</span>: <span class="hljs-string">"testing"</span>,
  <span class="hljs-attr">"dimensions"</span>: [<span class="hljs-string">"alias"</span>],
  <span class="hljs-attr">"threshold"</span>: <span class="hljs-number">5</span>,
  <span class="hljs-attr">"granularity"</span>: <span class="hljs-string">"all"</span>,
  <span class="hljs-attr">"aggregations"</span>: [
    {
      <span class="hljs-attr">"type"</span>: <span class="hljs-string">"variance"</span>,
      <span class="hljs-attr">"name"</span>: <span class="hljs-string">"index_var"</span>,
      <span class="hljs-attr">"fieldName"</span>: <span class="hljs-string">"index"</span>
    }
  ],
  <span class="hljs-attr">"postAggregations"</span>: [
    {
      <span class="hljs-attr">"type"</span>: <span class="hljs-string">"stddev"</span>,
      <span class="hljs-attr">"name"</span>: <span class="hljs-string">"index_stddev"</span>,
      <span class="hljs-attr">"fieldName"</span>: <span class="hljs-string">"index_var"</span>
    }
  ],
  <span class="hljs-attr">"intervals"</span>: [
    <span class="hljs-string">"2016-03-06T00:00:00/2016-03-06T23:59:59"</span>
  ]
}
</code></pre>
<h3><a class="anchor" aria-hidden="true" id="groupby-query"></a><a href="#groupby-query" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>GroupBy query</h3>
<pre><code class="hljs css language-json">{
  <span class="hljs-attr">"queryType"</span>: <span class="hljs-string">"groupBy"</span>,
  <span class="hljs-attr">"dataSource"</span>: <span class="hljs-string">"testing"</span>,
  <span class="hljs-attr">"dimensions"</span>: [<span class="hljs-string">"alias"</span>],
  <span class="hljs-attr">"granularity"</span>: <span class="hljs-string">"all"</span>,
  <span class="hljs-attr">"aggregations"</span>: [
    {
      <span class="hljs-attr">"type"</span>: <span class="hljs-string">"variance"</span>,
      <span class="hljs-attr">"name"</span>: <span class="hljs-string">"index_var"</span>,
      <span class="hljs-attr">"fieldName"</span>: <span class="hljs-string">"index"</span>
    }
  ],
  <span class="hljs-attr">"postAggregations"</span>: [
    {
      <span class="hljs-attr">"type"</span>: <span class="hljs-string">"stddev"</span>,
      <span class="hljs-attr">"name"</span>: <span class="hljs-string">"index_stddev"</span>,
      <span class="hljs-attr">"fieldName"</span>: <span class="hljs-string">"index_var"</span>
    }
  ],
  <span class="hljs-attr">"intervals"</span>: [
    <span class="hljs-string">"2016-03-06T00:00:00/2016-03-06T23:59:59"</span>
  ]
}
</code></pre>
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