wilcoxonRankSum

Functions
template<domain D :shared3p >
D float32	wilcoxonRankSum (D int32 sample1, D bool ia1, D int32 sample2, D bool ia2, bool correctRanks, int64 alternative)
template<domain D :shared3p >
D float64	wilcoxonRankSum (D int64 sample1, D bool ia1, D int64 sample2, D bool ia2, bool correctRanks, int64 alternative)
template<domain D :shared3p >
D float32	wilcoxonRankSum (D float32 sample1, D bool ia1, D float32 sample2, D bool ia2, bool correctRanks, int64 alternative)
template<domain D :shared3p >
D float64	wilcoxonRankSum (D float64 sample1, D bool ia1, D float64 sample2, D bool ia2, bool correctRanks, int64 alternative)

Detailed Description

Perform Wilcoxon rank sum tests.

Note

D - shared3p protection domain

Supported types - int32 / int64

The t-test requires the populations to be normally distributed. If the populations cannot be assumed to be normally distributed but are ordinal then the Mann-Whitney U or Wilcoxon rank-sum test can be used instead.

Parameters

sample1	- first sample
ia1	- vector indicating which elements of the first sample are available
sample2	- second sample
ia2	- vector indicating which elements of the second sample are available
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 its values are only correct when both samples have at least 5 elements.

Leakage

Leaks the sum of the number of true values in ia1 and ia2

Function Documentation

wilcoxonRankSum() [1/4]

template<domain D :shared3p >

D float32 wilcoxonRankSum	(	D float32	sample1,
		D bool	ia1,
		D float32	sample2,
		D bool	ia2,
		bool	correctRanks,
		int64	alternative
	)

wilcoxonRankSum() [2/4]

template<domain D :shared3p >

D float64 wilcoxonRankSum	(	D float64	sample1,
		D bool	ia1,
		D float64	sample2,
		D bool	ia2,
		bool	correctRanks,
		int64	alternative
	)

wilcoxonRankSum() [3/4]

template<domain D :shared3p >

D float32 wilcoxonRankSum	(	D int32	sample1,
		D bool	ia1,
		D int32	sample2,
		D bool	ia2,
		bool	correctRanks,
		int64	alternative
	)

wilcoxonRankSum() [4/4]

template<domain D :shared3p >

D float64 wilcoxonRankSum	(	D int64	sample1,
		D bool	ia1,
		D int64	sample2,
		D bool	ia2,
		bool	correctRanks,
		int64	alternative
	)