A nonparametric test for equality of K variances has been proposed by developing the jackknife empirical likelihood ratio. The standard limiting Chi-squared distribution with degrees freedom of \(K-1\) for the test statistic is established, and is used to determine the type I error rate and the power of the test. Simulation studies have been conducted to show that the proposed method is competitive to the current existing methods, Levene’s test and Fligner-Killeen’s test, in terms of power and robustness. The proposed method has been illustrated in an application on a real data set.

中文翻译：

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测试K方差同质性的折刀经验似然法

通过发展折刀经验似然比，提出了K方差相等性的非参数检验。建立测试统计量的自由度为\（K-1 \）的标准极限卡方分布，并用于确定I类错误率和测试功效。仿真研究表明，该方法在功率和鲁棒性方面与当前的现有方法（Levene检验和Fligner-Killeen检验）相比具有竞争力。所提出的方法已在实际数据集的应用程序中进行了说明。