Abstract

A simulation study was conducted to examine the efficacy of nine frequently-used HOV tests, including Levene’s tests with squared residuals and with absolute residuals, Brown and Forsythe (BF) test, Bootstrap BF test, O’Brien test, Z-variance test, Box-Scheffé (BS) test, Bartlett test, and Pseudo jackknife test under comprehensive simulation conditions. The results indicate that O’Brien, Levene’s with squared deviations, BS, BF, and Bootstrap BF tests had adequate Type I error control, especially for O’Brien test and Levene’s test with squared deviations. Under conditions of adequately controlling for Type I error, BF and Bootstrap BF tests had consistently higher power estimates across simulation conditions. Practical recommendations of guidelines for HOV test selection in factorial ANOVA designs are presented in the paper.

摘要

进行了一项模拟研究来检查九种常用 HOV 测试的有效性，包括 Levene 的残差平方和绝对残差检验、Brown 和 Forsythe (BF) 检验、Bootstrap BF 检验、O'Brien 检验、Z 方差检验、综合模拟条件下的 Box-Scheffé (BS) 检验、Bartlett 检验和 Pseudojackknife 检验。结果表明，O'Brien、Levene 平方差检验、BS、BF 和 Bootstrap BF 检验具有足够的 I 类误差控制，尤其是 O'Brien 检验和 Levene 平方差检验。在充分控制 I 类错误的条件下，BF 和 Bootstrap BF 测试在模拟条件下始终具有更高的功率估计。本文提出了因子方差分析设计中 HOV 测试选择指南的实用建议。