ClickHouse/docs/en/sql-reference/aggregate-functions/reference/analysis_of_variance.md

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analysisOfVariance

Provides a statistical test for one-way analysis of variance (ANOVA test). It is a test over several groups of normally distributed observations to find out whether all groups have the same mean or not.

Syntax

analysisOfVariance(val, group_no)

Aliases: anova

Parameters

• val: value.
• group_no : group number that val belongs to.

:::note Groups are enumerated starting from 0 and there should be at least two groups to perform a test. There should be at least one group with the number of observations greater than one. :::

Returned value

• (f_statistic, p_value). Tuple(Float64, Float64).

Example

Query:

SELECT analysisOfVariance(number, number % 2) FROM numbers(1048575);

Result:

┌─analysisOfVariance(number, modulo(number, 2))─┐
│ (0,1)                                         │
└───────────────────────────────────────────────┘