ConoverTest performs a hypothesis test on and with null hypothesis that the ratio of the true population variances against .

By default a probability value or -value is returned.

A small -value suggests that it is unlikely that is true.

The data must be univariate .

The argument can be any positive real number.

ConoverTest assumes the data is symmetric about a common median.

ConoverTest returns a HypothesisTestData object htd that can be used to extract additional test results and properties using the form htd["property"].

ConoverTest can be used to directly give the value of .

Properties related to the reporting of test results include:

"PValue"

list of -values

"PValueTable"

formatted table of -values

"ShortTestConclusion"

a short description of the conclusion of a test

"TestConclusion"

a description of the conclusion of a test

"TestData"

list of pairs of test statistics and -values

"TestDataTable"

formatted table of -values and test statistics

"TestStatistic"

list of test statistics

"TestStatisticTable"

formatted table of test statistics

The test statistic is based on a ratio of the sum of the squared ranks from the first sample to the pooled squared ranks, which is assumed to follow a NormalDistribution under .

ConoverTest is sometimes called the squared ranks test and is an alternative to the FisherRatioTest when the is not normally distributed.

For the ConoverTest, a cutoff is chosen such that is rejected only if . The value of used for the and properties is controlled by the SignificanceLevel option. This value is also used in diagnostic tests of assumptions, including tests for symmetry. By default is set to .