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Using Real Life Data to Validate the Winsorized Modified Alexander-Govern Test

机译：使用现实生活数据验证经过Winsorized修改的Alexander-Govern测试

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Aims and Objectives: To evaluate the efficiency and reliability of the Alexander-Govern (AG) test and the Winsorized Modified One Step M-estimator in the Alexander-Govern (AGWMOM) test, using real life data. Methods: Test of homogeneity of variance was done from real life data, comprising of young, middle and old groups, using the Levene’s test to see if the three groups are different from each other or not as the reaction time changes. Descriptive statistics, Test of normality and Test Statistic were performed for the three independent groups, to evaluate the reliability and efficiency of the tests. Results: The p-value from the test of homogeneity of the variance is greater than 0.05, i.e 0.174 > 0.05 and it shows that we accept HO and conclude that there is no difference between the groups as the reaction time changes. The descriptive statistics show that the AGWMOM test has a smaller standard error compared to the AG test. The result of the test statistic reveals that the AGWMOM test produced a p-value of 0.0000002869 that is considered to be significant compared to the AG test that produced a p-value of 0.0698 that is regarded as not significant, since its p-value is > 0.05. Conclusions: The AGWMOM test is more efficient and reliable in minimizing error as much as possible from the real life data, because the test produced a smaller standard error from the real life data in comparison to the AG test and is regarded as significant.
机译：目的和目标：使用真实数据评估亚历山大·戈弗恩（AG）测试和亚历山大·戈弗恩（AGWMOM）测试中Winsorized修改过的一步M估计量的效率和可靠性。方法：使用Levene检验从真实的数据（包括年轻，中，老年组）中进行方差同质性检验，以观察三组在反应时间变化时是否彼此不同。对三个独立的组进行了描述性统计，正态性检验和检验统计，以评估检验的可靠性和效率。结果：方差均一性检验的p值大于0.05，即0.174> 0.05，这表明我们接受H O 并得出结论，各组之间没有差异，因为反应时间改变。描述性统计数据表明，与AG测试相比，AGWMOM测试的标准误更小。测试统计数据的结果显示，与AG测试相比，AGWMOM测试产生的p值为0.0000002869，被认为是显着的，因为AG测试产生的p值为0.0698，因为它的p值为> 0.05。结论：AGWMOM测试在最大程度地减少实际数据中的误差方面更为有效和可靠，因为与AG测试相比，该测试从实际数据中产生的标准误差较小，并且被认为具有重要意义。

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