Varyansların Heterojen Olması Durumunda K-İstatistiği KANOVA ile ANOVA F Testinin Gerçekle şen 1.Tip Hata Olasılıkları Bakımından Karşılaştırılması

Bu çal ışmada K-istatisti ğ i ile ANOVA F testinin 50000 simülasyon denemesi sonunda gerçekle şen 1.Tip hata olas ı l ı kları bak ı m ı ndan karşı laşt ı rı lmas ı yap ı lm ışt ı r. Yap ı lan karşı laşt ı rmalar sonunda, K-istatistiğ inin, özellikle örneklerde 10 ve daha fazla gözlemin bulunmas ı durumlar ı nda ANOVA F testine göre bir çok deneme ko ş ulunda daha iyi sonuçlar verdi ğ i gözlenmiştir. Ancak bu testin.küçük gözlem kombinasyonlar ı ndan oldukça olumsuz yönde etkilendi ğ i ve bu olumsuz etkinin ise özellikle grup say ı s ı ve varyanslar ı n heterojenliğ inin artmas ı na paralel olarak daha da belirginleştiği görülmü ştür.

Anahtar Kelimeler:

varyanslar ı n heterojenli ğ i, 1.Tip hata olas ı l ığı , KANOVA, varyans analizi

The Comparison of K-Statistic KANOVA with ANOVA F Test in Terms of Actual Type I Error Rate When Variances are Heterogeneous

In this study, K statistic was compared with ANOVA F test in terms of realized type I error rate at the end of 50000 simulation trials. At the end of these comparisons-under various experimental conditions it was observed that K statistic is better than ANOVA F test particularly when each groups have ten or more observations. However, K statistic was affected negatively by small observation combinations. This negative effect was more evident particularly when number of groups and heterogeneity of variance were increased

Keywords:

heterogeneity of variance , Type I error rate, KANOVA, analysis of variance,

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