Monte Carlo estimation of the power of tests that require resampling can be very computationally intensive. It is possible to reduce the size of the inner resampling loop as long as the resulting estimator of power can be corrected for bias. A simple linear extrapolation method is shown to perform well in correcting for bias and thus reduces computation time in Monte Carlo power studies.

KEY WORDS: Bootstrap; Extrapolation; Monte Carlo test; Permutation test; p value; Power function; SIMEX.

1. INTRODUCTION

The explosion of computing capabilities has greatly facilitated the use of both classical permutation tests and modern bootstrap methods. Statistical evaluation ...