20. Analysis of Single-Case Reversal Designs

  1. Bradley E. Huitema

Published Online: 14 OCT 2011

DOI: 10.1002/9781118067475.ch20

The Analysis of Covariance and Alternatives: Statistical Methods for Experiments, Quasi-Experiments, and Single-Case Studies, Second Edition

The Analysis of Covariance and Alternatives: Statistical Methods for Experiments, Quasi-Experiments, and Single-Case Studies, Second Edition

How to Cite

Huitema, B. E. (2011) Analysis of Single-Case Reversal Designs, in The Analysis of Covariance and Alternatives: Statistical Methods for Experiments, Quasi-Experiments, and Single-Case Studies, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118067475.ch20

Author Information

  1. Department of Psychology, Western Michigan University, Kalamazoo, Michigan, USA

Publication History

  1. Published Online: 14 OCT 2011
  2. Published Print: 14 OCT 2011

Book Series:

  1. Wiley Series in Probability and Statistics

Book Series Editors:

  1. Walter A. Shewhart and
  2. Samuel S. Wilks

ISBN Information

Print ISBN: 9780471748960

Online ISBN: 9781118067475

SEARCH

Keywords:

  • regression model;
  • single-case reversal designs;
  • standardized effect;
  • statistical analysis

Summary

The traditional behavior-analytic approach for the analysis of reversal designs is visual inspection of the graphed data. The first step in the analysis requires the researcher to thoughtfully consider the change pattern that is expected to accompany introductions and withdrawals of the intervention. The second step involves fitting a regression model that includes level-change and slope-change parameters. Third, a reduced model that includes only level-change parameters is fitted. Fourth, a model comparison test is performed to identify the better of the two models. Fifth, the residuals of the selected model are diagnosed for departures from the assumptions of the regression model. Step six involves the use of the parameter estimates and the associated inferential measures from the selected model to construct cumulative descriptive and measures of the overall effects of the intervention. Additional measures of overall effects are included when the design has more than one type of intervention.

Controlled Vocabulary Terms

factor regression model; statistical measures