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Hypothesis Testing Package Symbol

VarianceRatioTest

VarianceRatioTest[list₁, list₂, r]
performs a test with null hypothesis

₁²/

₂²=r.

To use VarianceRatioTest, you first need to load the Hypothesis Testing Package using Needs["HypothesisTesting`"].

VarianceRatioTest[list₁, list₂, r] gives a p-value for the test that the ratio of the variances ₁² and ₂² of the populations from which list₁ and list₂ were sampled is significantly different from r.

VarianceRatioTest is based on an F-ratio distribution with Length[list₁]-1 and Length[list₂]-1 degrees of freedom.

FullReport	False	whether to include detailed information about a test
SignificanceLevel	None	significance level of the test
TwoSided	False	whether to perform a two-sided test

With the option FullReport->True, VarianceRatioTest also returns the ratio of sample variances, the test statistic, and the distribution used to generate the p-value.

A test of the ratio of population variances against 2:

Needs["HypothesisTesting`"]

A test of the ratio of population variances against 2:

A full report for a variance ratio test:

A test at significance level .01:

A two-sided variance ratio test: