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Applied Psychological Measurement
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Robust Confidence Interval for a Ratio of Standard Deviations

Douglas G. Bonett

Iowa State University

Comparing variability of test scores across alternate forms, test conditions, or subpopulations is a fundamental problem in psychometrics. A confidence interval for a ratio of standard deviations is proposed that performs as well as the classic method with normal distributions and performs dramatically better with nonnormal distributions. A simple and accurate sample size planning formula is proposed for estimating a ratio of standard deviations with desired confidence and precision.

Key Words: heteroscedasticity • interval estimation • parallel forms • sample size • variability

Applied Psychological Measurement, Vol. 30, No. 5, 432-439 (2006)
DOI: 10.1177/0146621605279551
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[Abstract] [PDF]