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

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish
Title of host publicationResearch in Applied Statistical Science
PublisherNova Science Publishers, Inc.
Pages11-21
Number of pages11
ISBN (Electronic)9781633218192
ISBN (Print)9781633218185
StatePublished - 1 Oct 2014

Fingerprint

Sample Size Determination
Mixed Effects
Logistic Regression Model
Longitudinal Data
Randomized Clinical Trial
Type I Error Rate
Categorical or nominal
Sample Size
Strictly
Methodology
Requirements
Interaction
Simulation
Trends

Keywords

  • Hierarchical models
  • Marginal maximum likelihood
  • Power analysis
  • Type I error rate

Cite this

Bhaumik, D. K., Aryal, S., Amatya, A., & Kapur, K. (2014). Sample size determination for between group comparisons in mixed-effects logistic regression models for analysis of longitudinal data. In Research in Applied Statistical Science (pp. 11-21). Nova Science Publishers, Inc..
Bhaumik, Dulal K. ; Aryal, Subhash ; Amatya, Anup ; Kapur, Kush. / Sample size determination for between group comparisons in mixed-effects logistic regression models for analysis of longitudinal data. Research in Applied Statistical Science. Nova Science Publishers, Inc., 2014. pp. 11-21
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Bhaumik, DK, Aryal, S, Amatya, A & Kapur, K 2014, Sample size determination for between group comparisons in mixed-effects logistic regression models for analysis of longitudinal data. in Research in Applied Statistical Science. Nova Science Publishers, Inc., pp. 11-21.

Sample size determination for between group comparisons in mixed-effects logistic regression models for analysis of longitudinal data. / Bhaumik, Dulal K.; Aryal, Subhash; Amatya, Anup; Kapur, Kush.

Research in Applied Statistical Science. Nova Science Publishers, Inc., 2014. p. 11-21.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Bhaumik DK, Aryal S, Amatya A, Kapur K. Sample size determination for between group comparisons in mixed-effects logistic regression models for analysis of longitudinal data. In Research in Applied Statistical Science. Nova Science Publishers, Inc. 2014. p. 11-21