ON BOOTSTRAP HYPOTHESIS TESTING
- 28 June 1990
- journal article
- Published by Wiley in Australian Journal of Statistics
- Vol. 32 (2) , 177-190
- https://doi.org/10.1111/j.1467-842x.1990.tb01011.x
Abstract
Summary: We describe methods for constructing bootstrap hypothesis tests, illustrating our approach using analysis of variance. The importance of pivotalness is discussed. Pivotal statistics usually result in improved accuracy of level. We note that hypothesis tests and confidence intervals call for different methods of resampling, so as to ensure that accurate critical point estimates are obtained in the former case even when data fail to comply with the null hypothesis. Our main points are illustrated by a simulation study and application to three real data sets.Keywords
This publication has 16 references indexed in Scilit:
- On bootstrap resampling and iterationBiometrika, 1988
- Theoretical Comparison of Bootstrap Confidence IntervalsThe Annals of Statistics, 1988
- Prepivoting Test Statistics: A Bootstrap View of Asymptotic RefinementsJournal of the American Statistical Association, 1988
- On the level-error after Bartlett adjustment of the likelihood ratio statisticBiometrika, 1988
- Prepivoting to reduce level error of confidence setsBiometrika, 1987
- On the Bootstrap and Confidence IntervalsThe Annals of Statistics, 1986
- [Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy]: CommentStatistical Science, 1986
- The Small Sample Behavior of Some Statistics Which Test the Equality of Several MeansTechnometrics, 1974
- THE COMPARISON OF SEVERAL GROUPS OF OBSERVATIONS WHEN THE RATIOS OF THE POPULATION VARIANCES ARE UNKNOWNBiometrika, 1951
- The Significance of the Difference Between Two Means when the Population Variances are UnequalBiometrika, 1938