Power analysis for testing two independent groups of likert-type data
Zunxiong Liu, Hao Chen · Advances in computer science research · 2016
In the one-sample location problem, it is tested whether the center of the whole is equal to a known value, otherwise whether there are significant differences between two samples is in consideration on pratical situation.In practical problems, there are many simulations where two general parameters are compared, instead it is tested whether the center of the whole is equal to a known value in the one-sample location problem.The aim of this article is to determine the goodness-of-fit of three different nonparametric tests, which being two sample rank test, Smirnov test ( two-sample Kolmogorov-Smirnov test) and two-sample Cramér-von Mises test.In the meantime the efficacies of their respective comparative analyses are also tested to choose their own two-sample test methods.Simulation results indicate that neither of the tests is the best for each sample distribution, but in most instances, the Cramer-von Mises test performs best.Moreover the Kolmogorov-Smirnov test is better than the Mann-Whitney test in term of distribution of samples, sample size and effect size .