A distribution-free two-sample equivalence test allowing for tied observations

A new testing procedure is derived which enables to assess the equivalence of two arbitrary noncontinuous distribution functions from which unrelated samples are taken as the data to be analyzed. The equivalence region is defined to consist of all pairs (F,G) of distribution functions such that for...

Full description

Saved in:
Bibliographic Details
Main Authors: Wellek, Stefan (Author) , Hampel, Barbara (Author)
Format: Article (Journal)
Language:English
Published: 19 April 1999
In: Biometrical journal
Year: 1999, Volume: 41, Issue: 2, Pages: 171-186
ISSN:1521-4036
DOI:https://doi.org/10.1002/(SICI)1521-4036(199905)41:2<171::AID-BIMJ171>3.0.CO;2-Y
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/https://doi.org/10.1002/(SICI)1521-4036(199905)41:2<171::AID-BIMJ171>3.0.CO;2-Y
Verlag, lizenzpflichtig, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1002/%28SICI%291521-4036%28199905%2941%3A2%3C171%3A%3AAID-BIMJ171%3E3.0.CO%3B2-Y
Get full text
Author Notes:S. Wellek, B. Hampel

MARC

LEADER 00000caa a2200000 c 4500
001 1738992829
003 DE-627
005 20220819025502.0
007 cr uuu---uuuuu
008 201118s1999 xx |||||o 00| ||eng c
024 7 |a 10.1002/(SICI)1521-4036(199905)41:2<171::AID-BIMJ171>3.0.CO;2-Y  |2 doi 
035 |a (DE-627)1738992829 
035 |a (DE-599)KXP1738992829 
035 |a (OCoLC)1341377770 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 33  |2 sdnb 
100 1 |a Wellek, Stefan  |d 1945-  |e VerfasserIn  |0 (DE-588)1034560867  |0 (DE-627)745854095  |0 (DE-576)382153774  |4 aut 
245 1 2 |a A distribution-free two-sample equivalence test allowing for tied observations  |c S. Wellek, B. Hampel 
264 1 |c 19 April 1999 
300 |a 16 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a Gesehen am 18.11.2020 
520 |a A new testing procedure is derived which enables to assess the equivalence of two arbitrary noncontinuous distribution functions from which unrelated samples are taken as the data to be analyzed. The equivalence region is defined to consist of all pairs (F,G) of distribution functions such that for independent X ∼ F, Y ∼ G the conditional probability of X > Y given X ≠ Y lies in some short interval around 1/2. The test rejects the null hypothesis of nonequivalence if and only if the standardized distance between the U-statistics estimator of P[X > Y ∣ X ≠ Y] and the center of the equivalence interval (1/2 — ε1, 1/2 + ε2) does not exceed a critical upper bound which has to be computed as the α-quantile of a χ2-distribution with one degree of freedom and a random noncentrality parameter proportional to the squared length of that interval. The test is shown to maintain the asymptotic significance level under very weak regularity conditions. Results of an extensive simulation study suggest that its level properties are very satisfactory in small samples as well. The power turns out to be inversely related to the rate P[X = Y] of ties between observations from different samples. 
650 4 |a Delta method 
650 4 |a Discrete distributions 
650 4 |a Interval hypotheses 
650 4 |a Mann-Whitney functional 
650 4 |a U-statistics 
700 1 |a Hampel, Barbara  |d 1969-  |e VerfasserIn  |0 (DE-588)12397139X  |0 (DE-627)706492757  |0 (DE-576)293964556  |4 aut 
773 0 8 |i Enthalten in  |t Biometrical journal  |d Berlin : Wiley-VCH, 1977  |g 41(1999), 2, Seite 171-186  |h Online-Ressource  |w (DE-627)271350229  |w (DE-600)1479920-0  |w (DE-576)078590868  |x 1521-4036  |7 nnas  |a A distribution-free two-sample equivalence test allowing for tied observations 
773 1 8 |g volume:41  |g year:1999  |g number:2  |g pages:171-186  |g extent:16  |a A distribution-free two-sample equivalence test allowing for tied observations 
856 4 0 |u https://doi.org/https://doi.org/10.1002/(SICI)1521-4036(199905)41:2<171::AID-BIMJ171>3.0.CO;2-Y  |x Verlag  |x Resolving-System  |z lizenzpflichtig  |3 Volltext 
856 4 0 |u https://onlinelibrary.wiley.com/doi/abs/10.1002/%28SICI%291521-4036%28199905%2941%3A2%3C171%3A%3AAID-BIMJ171%3E3.0.CO%3B2-Y  |x Verlag  |z lizenzpflichtig  |3 Volltext 
951 |a AR 
992 |a 20201118 
993 |a Article 
994 |a 1999 
998 |g 1034560867  |a Wellek, Stefan  |m 1034560867:Wellek, Stefan  |d 60000  |e 60000PW1034560867  |k 0/60000/  |p 1  |x j 
999 |a KXP-PPN1738992829  |e 3806534349 
BIB |a Y 
SER |a journal 
JSO |a {"recId":"1738992829","language":["eng"],"note":["Gesehen am 18.11.2020"],"type":{"media":"Online-Ressource","bibl":"article-journal"},"person":[{"family":"Wellek","given":"Stefan","display":"Wellek, Stefan","roleDisplay":"VerfasserIn","role":"aut"},{"role":"aut","roleDisplay":"VerfasserIn","display":"Hampel, Barbara","given":"Barbara","family":"Hampel"}],"title":[{"title":"A distribution-free two-sample equivalence test allowing for tied observations","title_sort":"distribution-free two-sample equivalence test allowing for tied observations"}],"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"id":{"issn":["1521-4036"],"zdb":["1479920-0"],"eki":["271350229"],"doi":["10.1002/(ISSN)1521-4036"]},"origin":[{"publisherPlace":"Berlin","publisher":"Wiley-VCH","dateIssuedKey":"1977","dateIssuedDisp":"1977-"}],"recId":"271350229","language":["eng","ger"],"note":["Gesehen am 17.04.07"],"type":{"bibl":"periodical","media":"Online-Ressource"},"disp":"A distribution-free two-sample equivalence test allowing for tied observationsBiometrical journal","part":{"pages":"171-186","issue":"2","year":"1999","extent":"16","text":"41(1999), 2, Seite 171-186","volume":"41"},"pubHistory":["Volume 19, issue 1 (1977)-"],"title":[{"title_sort":"Biometrical journal","title":"Biometrical journal"}]}],"physDesc":[{"extent":"16 S."}],"name":{"displayForm":["S. Wellek, B. Hampel"]},"id":{"eki":["1738992829"],"doi":["10.1002/(SICI)1521-4036(199905)41:2<171::AID-BIMJ171>3.0.CO;2-Y"]},"origin":[{"dateIssuedDisp":"19 April 1999","dateIssuedKey":"1999"}]} 
SRT |a WELLEKSTEFDISTRIBUTI1919