Author(s)

Hatim Solayman Migdadi

Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan.

In this paper, the weighted Kolmogrov-Smirnov, Cramer von-Miss and the Anderson Darling test statistics are considered as goodness of fit tests for the generalized Rayleigh interval grouped data. An extensive simulation process is conducted to evaluate their controlling of type 1 error and their power functions. Generally, the weighted Kolmogrov-Smirnov test statistics show a relatively better performance than both, the Cramer von-Miss and the Anderson Darling test statistics. For large sample values, the Anderson Darling test statistics cannot control type 1 error but for relatively small sample values it indicates a better performance than the Cramer von-Miss test statistics. Best selection of the test statistics and highlights for future studies are also explored.

Generalized Rayleigh Distribution, Interval Grouped Data, Goodness of Fit Tests, Empirical Type 1 Error, Power Function

Migdadi, H. (2015) On the Power Performance of Test Statistics for the Generalized Rayleigh Interval Grouped Data. Open Journal of Statistics, 5, 474-482. doi: 10.4236/ojs.2015.55049.