HypothesisTesting`
HypothesisTesting`

MeanDifferenceTest

MeanDifferenceTest[list1,list2,Δμ0]

performs a test with null hypothesis μ1-μ2=Δμ0.

Details

  • To use MeanDifferenceTest, you first need to load the Hypothesis Testing Package using Needs["HypothesisTesting`"].
  • MeanDifferenceTest[list1,list2, Δμ0] gives a value for the test that the difference between the means μ1 and μ2 of the populations from which list1 and list2 were sampled is significantly different from Δμ0.
  • MeanDifferenceTest is based on a normal distribution if the population variances are assumed known.
  • If the variances for the two populations are assumed equal and unknown, the test is based on Student's distribution with Length[list1]+Length[list2]-2 degrees of freedom.
  • If the population variances are not assumed known and not assumed equal, Welch's approximation for the degrees of freedom is used.
  • The following options can be given:
  • EqualVariancesFalsewhether the unknown population variances are assumed equal
    FullReportFalsewhether to include detailed information about a test
    KnownVarianceNonevariance of population
    SignificanceLevelNonesignificance level of the test
    TwoSidedFalsewhether to perform a two-sided test

Examples

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Basic Examples  (1)

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A test of the difference of population means against 0:

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Options  (5)

See Also

StudentTCI  MeanCI  MeanDifferenceCI  MeanTest

Tutorials