wilcoxonSignedRank

Functions
template<domain D :shared3p >
D float32	wilcoxonSignedRank (D int32 sample1, D int32 sample2, D bool filter, bool correctRanks, int64 alternative)
template<domain D :shared3p >
D float64	wilcoxonSignedRank (D int64 sample1, D int64 sample2, D bool filter, bool correctRanks, int64 alternative)
template<domain D :shared3p >
D float32	wilcoxonSignedRank (D float32 sample1, D float32 sample2, D bool filter, bool correctRanks, int64 alternative)
template<domain D :shared3p >
D float64	wilcoxonSignedRank (D float64 sample1, D float64 sample2, D bool filter, bool correctRanks, int64 alternative)

Detailed Description

Perform Wilcoxon signed rank tests.

Note

The paired t-test requires the populations to be normally distributed. If the populations cannot be assumed to be normally distributed but are ordinal then the Wilcoxon signed rank test can be used instead.

D - shared3p protection domain

Supported types - int32 / int64 / float32 / float64

Parameters

sample1	- first sample
sample2	- second sample
filter	- vector indicating which elements of the sample to include in computing the statistic
correctRanks	- indicates if the equal sample values should be ranked correctly. If they are not the test is more conservative but faster.
alternative	- the type of alternative hypothesis. Less - mean of sample1 is less than mean of sample2, greater - mean of sample1 is greater than mean of sample2, two-sided - means of sample1 and sample2 are different

Returns

returns a vector where the first element is the test statistic and the second element is the z-score. The z-score is continuity corrected. The z-score is an approximation and when there's less than 10 pairs with non-zero difference, it's incorrect.

Leakage

Leaks the number of true values in filter minus the number of pairs where the difference is zero

Function Documentation

wilcoxonSignedRank() [1/4]

template<domain D :shared3p >

D float32 wilcoxonSignedRank	(	D float32	sample1,
		D float32	sample2,
		D bool	filter,
		bool	correctRanks,
		int64	alternative
	)

wilcoxonSignedRank() [2/4]

template<domain D :shared3p >

D float64 wilcoxonSignedRank	(	D float64	sample1,
		D float64	sample2,
		D bool	filter,
		bool	correctRanks,
		int64	alternative
	)

wilcoxonSignedRank() [3/4]

template<domain D :shared3p >

D float32 wilcoxonSignedRank	(	D int32	sample1,
		D int32	sample2,
		D bool	filter,
		bool	correctRanks,
		int64	alternative
	)

wilcoxonSignedRank() [4/4]

template<domain D :shared3p >

D float64 wilcoxonSignedRank	(	D int64	sample1,
		D int64	sample2,
		D bool	filter,
		bool	correctRanks,
		int64	alternative
	)