Notes on estimation of the proportion ratio in the presence of carryover effects under the AB/BA crossover trial

ABSTRACT

The authors focus discussion on estimation of the proportion ratio (PR) in the presence of residual effects under the AB/BA design. Under a random effects multiplicative risk model, we develop three point estimators and three interval estimators accounting for residual effects for the PR. Using Monte Carlo simulations, we compare the performance of these point (or interval) estimators with point (or interval) estimators assuming no residual effects with respect to the bias and mean-squared-error (or the coverage probability and average length). The authors use the data taken from an AB/BA trial comparing two new inhalation devices to illustrate the use of these estimators.

KEYWORDS:

• Bias
• Carryover effect
• Crossover trial
• Efficiency
• Interval estimator
• Mean-squared-error
• Proportion ratio
• Point estimation

MATHEMATICS SUBJECT CLASSIFICATION:

• 47N30
• 62H12