HypothesisTesting`
HypothesisTesting`

VarianceRatioTest

VarianceRatioTest[list1,list2,r]

performs a test with null hypothesis .

Details

• To use VarianceRatioTest, you first need to load the Hypothesis Testing Package using Needs["HypothesisTesting`"].
• VarianceRatioTest[list1,list2,r] gives a value for the test that the ratio of the variances and of the populations from which list1 and list2 were sampled is significantly different from r.
• VarianceRatioTest uses the test statistic Variance[list1]/Variance[list2]/r.
• VarianceRatioTest is based on an F-ratio distribution with Length[list1]-1 and Length[list2]-1 degrees of freedom.
• The following options can be given:
•  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 , VarianceRatioTest also returns the ratio of sample variances, the test statistic, and the distribution used to generate the -value.

Examples

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Basic Examples(1)

 In:= A test of the ratio of population variances against 2:

 In:= Out= 