The Student and Cramer-Welch tests for two-sample problem testing with lifetime data
The parametric Student test and the nonparametric Cramer-Welch test for two-sample problem of means equality are considered. These tests can be applied for two-sample problem testing. We propose statistics of the tests for the lifetime data case. We present that the distributions of the test statistic look forward to the limit distributions while sample sizes increase. Moreover, the results of the test power simulation are presented in this paper using the Monte-Carlo method. The alternative hypotheses of the test power simulation contain alternative hypotheses that breach of a priory conditions of the data normality.