APPROPRIATE CRITICAL VALUES FOR PAIRWISE COMPARISONS OF MULTIPLE COMPARISON PROCEDURES FOR NORMAL VARIANCES WHEN SAMPLE SIZES ARE UNBALANCED - Collections

＜journal article＞
APPROPRIATE CRITICAL VALUES FOR PAIRWISE COMPARISONS OF MULTIPLE COMPARISON PROCEDURES FOR NORMAL VARIANCES WHEN SAMPLE SIZES ARE UNBALANCED

Creator	Creator Name Imada, Tsunehisa 今田, 恒久イマダ, ツネヒサ Affiliation Affiliation Name Department of Management, Tokai University 東海大学
Language	English
Publisher	Research Association of Statistical Sciences
Publisher	統計科学研究会
Date	2020
Source Title	Bulletin of informatics and cybernetics
Vol	52
Issue	2
First Page	1
Last Page	15
Publication Type	Version of Record
Access Rights	open access
Crossref DOI	https://doi.org/10.5109/4102449
Abstract	In this study we discuss the determination of appropriate critical values for pairwise comparisons of the multiple comparison with a control and the all-pairwise multiple comparison for normal varianc...es when sample sizes are unbalanced. Although Imada (2018A, 2018B) used a common critical value for all hypotheses, the probability that the true hypothesis is rejected is not uniform. Here, we construct the critical value for each hypothesis so that the probability that it is rejected when it is true may be as uniform as possible. Finally, we give some numerical results regarding critical values and power of the test.show more

File	FileType	Size	Views	Description
BIC-52-2	pdf	109 KB	362

PISSN	0286-522X
EISSN	2435-743X
NCID	AA10634475
Record ID	4102449
Peer-Reviewed	Refereed
Subject Terms	Allocation of Type I error
	Conservative critical value
	Exact critical value
Created Date	2020.10.21
Modified Date	2020.12.07