Sample size determination for step-down multiple test procedures: Orthogonal contrasts and comparisons with a control
type: Item
instance of: scholarly article
title: Sample size determination for step-down multiple test procedures: Orthogonal contrasts and comparisons with a control
zbMATH Open document ID: 0729.62062
DOI: 10.1016/0378-3758(91)90042-D
author: Anthony J. Hayter
author: Ajit C. Tamhane
published in: Journal of Statistical Planning and Inference
publication date: 1991-01-01T00:00:00Z
review text: We address the problem of sample size determination for step-down multiple comparison procedures (MCP's) for two nonhierarchical families - orthogonal contrasts and comparisons with a control, in order to guarantee a specified requirement on their power. The results for the corresponding single-step MCP's are obtained as special cases. In the process of determining the smallest total sample size for each MCP to guarantee the specified power requirement, we also determine the optimum allocation of this sample size among the treatments and the control.
Mathematics Subject Classification ID: 62J15
Mathematics Subject Classification ID: 62K99
Mathematics Subject Classification ID: 65C99
zbMATH DE Number: 4205659
zbMATH Keywords: single-step procedures
zbMATH Keywords: multivariate t-distribution
zbMATH Keywords: normal distribution
zbMATH Keywords: sample size determination
zbMATH Keywords: step-down multiple comparison procedures
zbMATH Keywords: nonhierarchical families
zbMATH Keywords: orthogonal contrasts
zbMATH Keywords: comparisons with a control
zbMATH Keywords: power
zbMATH Keywords: optimum allocation
MaRDI profile type: Publication
cites work: Q3795126
cites work: Step Down Procedures for Comparison With a Control
cites work: A Multiple Comparison Procedure for Comparing Several Treatments with a Control
cites work: Q4000423
cites work: Q4187195
cites work: Sample size computation for designing multiple comparison experiments
cites work: On closed testing procedures with special reference to ordered analysis of variance
cites work: Q5586862
cites work: Some selection rules for comparing p processes with a standard
cites work: THE DISTRIBUTION OF RANGE IN SAMPLES FROM A NORMAL POPULATION, EXPRESSED IN TERMS OF AN INDEPENDENT ESTIMATE OF STANDARD DEVIATION
cites work: Q5823914
cites work: Control of directional errors with stagewise multiple test procedures
cites work: Q4203640
full work available at URL: 0378-3758(91)90042-d
OpenAlex ID: W2083007877
description: scientific article; zbMATH DE number 4205659