Comparison of F test and resampling approach for type I error rate and test power by simulation method Yeniden Örnekleme ve F Testinin I. Tip Hata ve Testin Gücü Bakımından Simülasyon Yöntemi ile Karşılaştırılması
Tarim Bilimleri Dergisi, vol.15, no.1, pp.105-111, 2009 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 15 Issue: 1
- Publication Date: 2009
- Doi Number: 10.1501/tarimbil_0000001079
- Journal Name: Tarim Bilimleri Dergisi
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.105-111
- Keywords: Monte carlo test, Permutation test, Power of tests, Resampling, Type I error rate
- Isparta University of Applied Sciences Affiliated: No
Abstract
In this study, F tests and resampling approaches were compared by simulation method in terms of type I error rate and power of test. The experiments containing 3 groups were chosen. Each groups included equal observations (n=5, 15 and 30) and were drawn from populations. The proportions of variance in samples were found as 1, 5, 10, 30. In order to determine power of test 0.5, 1.0 and 1.5 were added to the values in last group. In the experiments, the samples each including equal observations were drawn from triple combination Z (0, 1), Student t(10), 2 χ (3) and β (2.5, 5) distributions. Type I error rate and power of the test were obtained from the samples of 10000 simulation trials. Numbers of resampling were determined as 100000 in the experiments. As a result, Resampling tests provided more reliable results than F test for both small sample size and heterogeneous variances.