Comparing Performances of Multiple Comparison Methods in Commonly Used 2 x C Contingency Tables

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Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Heidelberg

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

This study aims at mentioning briefly multiple comparison methods such as Bonferroni, Holm-Bonferroni, Hochberg, Hommel, Marascuilo, Tukey, Benjamini-Hochberg and Gavrilov-Benjamini-Sarkar for contingency tables, through the data obtained from a medical research and examining their performances by simulation study which was constructed as the total 36 scenarios to 2 x 4 contingency table. As results of simulation, it was observed that when the sample size is more than 100, the methods which can preserve the nominal alpha level are Gavrilov-Benjamini-Sarkar, Holm-Bonferroni and Bonferroni. Marascuilo method was found to be a more conservative than Bonferroni. It was found that Type I error rate for Hommel method is around 2 % in all scenarios. Moreover, when the proportions of the three populations are equal and the proportion value of the fourth population is far at a level of +/- 3 standard deviation from the other populations, the power value for Unadjusted All-Pairwise Comparison approach is at least a bit higher than the ones obtained by Gavrilov-Benjamini-Sarkar, Holm-Bonferroni and Bonferroni. Consequently, Gavrilov-Benjamini-Sarkar and Holm-Bonferroni methods have the best performance according to simulation. Hommel and Marascuilo methods are not recommended to be used because they have medium or lower performance. In addition, we have written a Minitab macro about multiple comparisons for use in scientific research.

Açıklama

Ankarali, Handan Camdeviren/0000-0002-3613-0523
WOS: 000387850700002
PubMed: 26454649

Anahtar Kelimeler

Contingency table, Multiple comparison, Gavrilov-Benjamini-Sarkar, Holm-Bonferroni, Marascuilo, Hommel

Kaynak

Interdisciplinary Sciences-Computational Life Sciences

WoS Q Değeri

Q4

Scopus Q Değeri

Q2

Cilt

8

Sayı

4

Künye