tests whether the median of data is zero.
tests whether the median of is zero.
tests a location measure against .
returns the value of .
- SignTest performs a hypothesis test on data with null hypothesis that the true population median is some value , and alternative hypothesis that .
- Given and , SignTest performs a test on the paired differences of the two datasets.
- By default a probability value or -value is returned.
- A small -value suggests that it is unlikely that is true.
- The data in dspec can be univariate or multivariate .
- If two samples are given, they must be of equal length.
- The argument can be a real number or a real vector with length equal to the dimension of the data.
- SignTest[dspec,μ0,"HypothesisTestData"] returns a HypothesisTestData object htd that can be used to extract additional test results and properties using the form htd["property"].
- SignTest[dspec,μ0,"property"] can be used to directly give the value of .
- Properties related to the reporting of test results include:
"DegreesOfFreedom" the degrees of freedom used in a test "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
- For univariate samples, SignTest performs the sign test for medians of paired samples. The test statistic is assumed to follow a BinomialDistribution[n,1/2] where n is the number of elements in dspec not equal to .
- For multivariate samples, SignTest performs an affine invariant test for paired samples using spatial signs. The test statistic is assumed to follow a ChiSquareDistribution[dim] where dim is the dimension of dspec.
- The following options can be used:
AlternativeHypothesis "Unequal" the inequality for the alternative hypothesis MaxIterations Automatic max iterations for multivariate median tests Method Automatic the method to use for computing -values SignificanceLevel 0.05 cutoff for diagnostics and reporting
- For the SignTest, a cutoff is chosen such that is rejected only if . The value of used for the and properties is controlled by the SignificanceLevel option. By default is set to .
Create a HypothesisTestData object for repeated property extraction: