TY - JOUR
T1 - A unified sequential test procedure for simultaneous testing the equality of several binomial proportions to a specified standard
AU - Tang, Man Lai
AU - Wu, Ka Ho
N1 - Copyright:
Copyright 2005 Elsevier B.V., All rights reserved.
PY - 2005/8
Y1 - 2005/8
N2 - In this article, we propose a unified sequentially rejective test procedure for testing simultaneously the equality of several independent binomial proportions to a specified standard. The proposed test procedure is general enough to include some well-known multiple testing procedures such as the Ordinary Bonferroni procedure, Hochberg procedure and Rom procedure. It involves multiple tests of significance based on the simple binomial tests (exact or approximate) which can be easily found in many elementary standard statistics textbooks. Unlike the traditional Chi-square test of the overall hypothesis, the procedure can identify the subset of the binomial proportions, which are different from the prespecified standard with the control of the familywise type I error rate. Moreover, the power computation of the procedure is provided and the procedure is illustrated by two real examples from an ecological study and a carcinogenicity study.
AB - In this article, we propose a unified sequentially rejective test procedure for testing simultaneously the equality of several independent binomial proportions to a specified standard. The proposed test procedure is general enough to include some well-known multiple testing procedures such as the Ordinary Bonferroni procedure, Hochberg procedure and Rom procedure. It involves multiple tests of significance based on the simple binomial tests (exact or approximate) which can be easily found in many elementary standard statistics textbooks. Unlike the traditional Chi-square test of the overall hypothesis, the procedure can identify the subset of the binomial proportions, which are different from the prespecified standard with the control of the familywise type I error rate. Moreover, the power computation of the procedure is provided and the procedure is illustrated by two real examples from an ecological study and a carcinogenicity study.
KW - Binomial proportions
KW - Multiple test procedure
UR - http://www.scopus.com/inward/record.url?scp=25844463388&partnerID=8YFLogxK
U2 - 10.1080/02664760500079100
DO - 10.1080/02664760500079100
M3 - Journal article
AN - SCOPUS:25844463388
SN - 0266-4763
VL - 32
SP - 617
EP - 624
JO - Journal of Applied Statistics
JF - Journal of Applied Statistics
IS - 6
ER -