Use of Some Tests for Means of Positively Skewed Distribution and Comparisons

Abstract

The purpose of this article is to introduce Johnson’s modified square t test, Sutton’s composite test and Chen’ s test applied to test the null hypotheses of population mean with samples drawn from positively skewed distributions, also compare them on the account of type 1 error rates and power of the test. In this context, a simulation study is carried out via data group which is produced from some positively skewed distributions and it is determined that Chen’s test is more powerful than other tests.

Keywords

• Chen’s test
• Johnson’s modified square t test
• Power of the test
• Skewness
• Sutton’s composite test

Sağa Çarpık Dağılım Ortalamaları için Bazı Testlerin Kullanımı ve Karşılaştırmaları

Abstract

Bu makalenin amacı, sağa çarpık dağılımlardan çekilen örneklemler ile kitle ortalamasına ilişkin yokluk hipotezini test etmek için kullanılan Johnson’ın düzeltilmiş karesel t testini, Sutton’ın bileşik testini ve Chen’in testini tanıtmak, ayrıca bunları 1. tip hata oranları ve testin gücü bakımından karşılaştırmaktır. Bu amaçla bazı sağa çarpık dağılımlardan üretilen veri kümeleri üzerinden simülasyon çalışması yapılmış ve Chen’in testinin daha güçlü olduğu tespit edilmiştir.

Keywords

• Chen’in testi
• Çarpıklık
• Johnson’ın düzeltilmiş karesel t testi
• Sutton’ın bileşik testi
• Testin gücü

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