что по этому поводу пишет D. Howitt в своем учебнике по статистике для психологов: "The best-known statistical test for normality is the Kolmogorov-Smirnov test, which is available within SPSS under the nonparametric tests. Although you should know that the test exists, most people do not recommend its use. In the first place most small samples will pass the test even when they are decidedly nonnormal. On the other hand, when you have very large samples the test is very likely to reject the hypothesis of normality even though minor deviations from normality will not be a problem. D’Agostino and Stephens (1986) put it even more strongly when they wrote, “The Kolmogorov-Smirnov test is only a historical curiosity. It should never be used.” I mention the test here only because you will come across references to it and SPSS will offer to calculate it for you. You should know its weaknesses."
так не надо применять тесты на нормальность. Они бессмысленны: если p-value < 0.05, то выборка ненормальна, а если больше, ты мы не можем ни отвергнуть, ни принять нулевую гипотезу
о, интересно! но тут вопрос много проще)
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