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How to Use the Two Sample t-Test |
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| Authors: | N. A. C. Cressie H. J. Whitford |
| Abstract: | This work discusses how two sample t-tests behave when applied to data that may violate the classical statistical assumptions of independence, heteroscedasticity and Gaussianity. The usual two sample t-statistic based on a pooled variance estimate and the Welch-Aspin statistic are treated in detail. Practical “rules-of-thumb” are given along with their applications to various examples so that readers will easily be able to use such tests on their own data sets. |
| Keywords: | Behrens-Fisher problem Cornish-Fisher expansion Equivalent degrees of freedom Equivalent kurtosis Equivalent skewness Gaussian distribution Level of significance Robustness Two sample t-test Welch-Aspin statistic |