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Journals / Selçuk Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi / 2003 / Sayı: 21

A new test statistics for two sample problem and comparison of power of the test with other tests via simulation

İki örneklem problemi için yeni bir test istatistiği ve gücünün diğer testlerle karşılaştırılması

MEHMET FEDAİ KAYA
COŞKUN KUŞ
Pages
99–108
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Power of the new test are compared with power of the Kolmogorov-Smirnov, Mann-Whitney Wilcoxon and Sign Tests using Monte Carlo procedure.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, a new test statistic for two sample problem is proposed, exact distribution of new test statistic is obtained for $nleq 20$ using computer programming via count of suitable situaition and emprical distribution of new test statistic is obtained for n = 25 and n = 50 using Monte Carlo simulation procedure.
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Key Findings & Data:In this study, a new test statistic for two sample problem is proposed, exact distribution of new test statistic is obtained for $nleq 20$ using computer programming via count of suitable situaition and emprical distribution of new test statistic is obtained for n = 25 and n = 50 using Monte Carlo simulation procedure.
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Conclusion & Impact:Power of the new test are compared with power of the Kolmogorov-Smirnov, Mann-Whitney Wilcoxon and Sign Tests using Monte Carlo procedure.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, a new test statistic for two sample problem is proposed, exact distribution of new test statistic is obtained for $nleq 20$ using computer programming via count of suitable situaition and emprical distribution of new test statistic is obtained for n = 25 and n = 50 using Monte Carlo simulation procedure. Power of the new test are compared with power of the Kolmogorov-Smirnov, Mann-Whitney Wilcoxon and Sign Tests using Monte Carlo procedure.

Özet

Bu çalışmada, sürekli dağılımlar ailesi için dağılımdan bağımsız yeni bir istatistik önerilmiş, bu istatistiğin kesin dağılımı, $n leq 20$ için bilgisayar programı kullanılarak uygun durumların sayılmasıyla, n = 25 ve n = 50 için amprik dağılımı Monte Carlo simulasyon yöntemiyle elde edilmiştir. Testin gücü Monte Carlo simulasyon yöntemi kullanılarak Kolmogorov-Smimov, Mann- Whitney Wilcoxon ve işaret testlerinin gücü ile karşılaştırılmıştır.

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Cite This Article

KAYA, M. F., KUŞ, C. (2003). A new test statistics for two sample problem and comparison of power of the test with other tests via simulation. Selçuk Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi, Sayı: 21, 99–108. https://ajindex.com/articles/317614

References (8)

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