Sample size determination for between group comparisons in mixed-effects logistic regression models for analysis of longitudinal data

Dulal K. Bhaumik; Subhash Aryal; Anup Amatya; Kush Kapur

Sample size determination for between group comparisons in mixed-effects logistic regression models for analysis of longitudinal data

Dulal K. Bhaumik, Subhash Aryal, Anup Amatya, Kush Kapur

Biostatistics & Epidemiology

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this article we consider the problem of sample size determination for two-level mixed-effects logistic regression models for the analysis of longitudinal data. In this case, level 1 represents measurement occasion and level 2 represents subject. We provide an algorithm for sample size requirements (i.e., power characteristics) for a test of the treatment-by-time interaction and overall time trend that strictly maintains the type I error rate close to the nominal level. The methodology is illustrated both via simulation and an example from a now classic psychiatric randomized clinical trial.

Original language	English
Title of host publication	Research in Applied Statistical Science
Publisher	Nova Science Publishers, Inc.
Pages	11-21
Number of pages	11
ISBN (Electronic)	9781633218192
ISBN (Print)	9781633218185
State	Published - 1 Oct 2014

Keywords

Hierarchical models
Marginal maximum likelihood
Power analysis
Type I error rate

Cite this

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AU - Aryal, Subhash

AU - Amatya, Anup

AU - Kapur, Kush

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N2 - In this article we consider the problem of sample size determination for two-level mixed-effects logistic regression models for the analysis of longitudinal data. In this case, level 1 represents measurement occasion and level 2 represents subject. We provide an algorithm for sample size requirements (i.e., power characteristics) for a test of the treatment-by-time interaction and overall time trend that strictly maintains the type I error rate close to the nominal level. The methodology is illustrated both via simulation and an example from a now classic psychiatric randomized clinical trial.

AB - In this article we consider the problem of sample size determination for two-level mixed-effects logistic regression models for the analysis of longitudinal data. In this case, level 1 represents measurement occasion and level 2 represents subject. We provide an algorithm for sample size requirements (i.e., power characteristics) for a test of the treatment-by-time interaction and overall time trend that strictly maintains the type I error rate close to the nominal level. The methodology is illustrated both via simulation and an example from a now classic psychiatric randomized clinical trial.

KW - Hierarchical models

KW - Marginal maximum likelihood

KW - Power analysis

KW - Type I error rate

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M3 - Chapter

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BT - Research in Applied Statistical Science

PB - Nova Science Publishers, Inc.

ER -

Sample size determination for between group comparisons in mixed-effects logistic regression models for analysis of longitudinal data

Abstract

Keywords

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