亚历山大和戈文的近似:提供方差异质性下方差分析的替代方法

IF 2.2 4区教育学 Q1 Social Sciences

Journal of Experimental Education Pub Date : 1997-01-01 DOI:10.1080/00220973.1997.9943459

P. Schneider, D. A. Penfield

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引用次数: 39

摘要

进行了蒙特卡罗模拟，以比较Alexander和Govern开发的1994年近似的I型错误率和功率，作为ANOVA F检验的替代方法。比较方差分析F、Kruskal-Wallis、Welch、Brown-Forsythe和James二阶检验。作者着重研究了各种因素对I型错误率和功率的影响。这些因素包括方差不平等、与组方差的样本量配对、偏度/峰度和处理组的数量。在方差异质性下，Alexander-Govern检验不仅与Welch检验和James二阶检验具有可比性，而且在某些情况下优于Welch检验。

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Alexander and Govern's approximation : Providing an alternative to ANOVA under variance heterogeneity

A Monte Carlo simulation was conducted to compare the Type I error rate and power of the 1994 approximation developed by Alexander and Govern as an alternative to the ANOVA F test. It was compared with the ANOVA F, Kruskal-Wallis, Welch, Brown-Forsythe, and James second-order tests. The authors concentrated on the impact of various factors on Type I error rate and power. The factors included variance inequality, sample-size pairings with group variances, degree of skewness/kurtosis, and number of treatment groups. Under variance heterogeneity, Alexander-Govern's test was not only comparable to the performance of the Welch test and the James second-order test but was superior in certain instances.

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来源期刊

Journal of Experimental Education Multiple-

CiteScore

6.70

自引率

0.00%

发文量

期刊介绍： The Journal of Experimental Education publishes theoretical, laboratory, and classroom research studies that use the range of quantitative and qualitative methodologies. Recent articles have explored the correlation between test preparation and performance, enhancing students" self-efficacy, the effects of peer collaboration among students, and arguments about statistical significance and effect size reporting. In recent issues, JXE has published examinations of statistical methodologies and editorial practices used in several educational research journals.