Comparison of Goodness of Fit Tests for Normal Distribution
I. Agu, Friday *
Department of Statistics, University of Calabar, Calabar, Nigeria and Department of General Studies, Cross River State Institute of Management and Technology (ITM), Ugep, Nigeria
E. Francis, Runyi
Department of Mathematics, Arthur Jarvis University, Akpabuyo, Cross River State, Nigeria
*Author to whom correspondence should be addressed.
Abstract
Goodness of fit test is a test that has attracted researchers’ interest over the decades. This study is on goodness of fit test for normal distribution only. The Kolmogorov-Smirnov (K-St) and Pearson’s Chi-square (χ² test) goodness of fit test were used to determine the normality of a given data. The result revealed that the data is normal under the two tests and that the Kolmogorov-Smirnov (K-S test) were preferred to Pearson’s Chi-square (χ² test). The Kolmogorov-Smirnov (K-S) test of goodness of fit is the most suitable in terms of the p-value.
Keywords: Normal distribution, Kolmogorov-Smirnov goodness of fit test, Chi square goodness of fit test, p-value