Topic
Coverage probability
About: Coverage probability is a research topic. Over the lifetime, 2479 publications have been published within this topic receiving 53259 citations.
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TL;DR: This work presents a method of constructing simultaneous confidence intervals for the ordinal effect size measures, using the studentized range distribution with the score test statistic, and shows that the proposed method performs well in terms of coverage probability.
Abstract: When outcomes are ordered categorical, a model using an ordinal effect size measure is a good alternative of the cumulative logit model to compare several independent group differences. We present a method of constructing simultaneous confidence intervals for the ordinal effect size measures, using the studentized range distribution with the score test statistic. A simulation study shows that the proposed method performs well in terms of coverage probability, and it seems better than the method using a Bonferroni correction for Wald-type statistics and methods that account for the dependencies among pairwise ordinal effect size measures using the multivariate normal distribution (or the multivariate t-distribution for small samples).
13 citations
TL;DR: New confidence intervals for steady-state availability based on four bootstrap methods; standard bootstrap confidence interval, percentile bootstrapconfidence interval, bootstrap-t confidence intervals, and bias-corrected and accelerated confidence interval are developed.
Abstract: Steady-state availability, denoted by A, has been widely used as a measure to evaluate the reliability of a repairable system. In this paper, we develop new confidence intervals for steady-state availability based on four bootstrap methods; standard bootstrap confidence interval, percentile bootstrap confidence interval, bootstrap-t confidence interval, and bias-corrected and accelerated confidence interval. We also investigate the accuracy of these bootstrap confidence intervals by calculating the coverage probability and the average length of intervals.
13 citations
TL;DR: In this article, the authors extend the first-order autoregressive model to allow measurement error on both covariate and outcome variables and obtain maximum likelihood estimates of the model parameters given knowledge of the measurement error variance for both outcome and exposure variables.
13 citations
TL;DR: In this article, it was shown that recentered set estimators dominate the usual set estimator when sampling is from any of a class of spherically symmetric distributions with unknown variance.
13 citations
TL;DR: In this paper, the authors investigated the utility of generalized confidence intervals for a proportion of total variance in mixed linear models having more than two variance components in situations where the data exhibit complete balance, partial balance, and partial imbalance.
13 citations