单形分布变离差检验的Score统计量的局部影响

Local Influence on Score Statistic for Varying Dispersion Test in Simplex Distribution

为了研究数据对于单形分布非线性模型变离差检验的Score统计量的局部影响,该文利用梯度方法分别研究了因变量及自变量的微小扰动对于该模型的Score检验统计量的局部影响,相应得到了度量最大局部影响的诊断统计量。最后,利用所得统计量获得了眼科学方面的一个实际数据中的影响点,结果表明该文提出的方法是有效的。

To study local influence of the data cases on the Score statistic for the test of varying dispersion in the nonlinear model of simplex distribution, this paper develops the local influence on the score test statistic under perturbation in the response variable and explanatory variables based on gradient method. The corresponding diagnostic statistics for measuring the maximum local influence are obtained. At the end, the influence cases in the ophthalmology study data are obtained based on the statistics derived in the paper, and the result demonstrates that the method in the paper is effective.