In: Statistics and Probability
6. Parametric tests usually have more statistical power than non-parametric tests.
True or False
5. A post hoc test does not need to be performed when an ANOVA produces a statistically significant F value.
True or False
4. In the case of a hypothesis t test, population mean is known.
True or False
4) in the case of hypothesis t test, the population standard deviation is unknown, and the population mean is known
so True
5) post hoc tests are an integral part of anova, When you useAnova to test the equality of at least three group means, statistically significant results indicate that not all of the group means are equal. However it does not identify which particular differences between pairs of means are significant.For determining which particular differences between pairs are significant we use post hoc tests, so if ANOVA results in significant we go for Post hoc test to find which pair are significant , but if ANOVA results in non Significant then there is no need to go for post hoc tes.When an ANOVA produces a statistically significant F value, we must go for post hoc tests
so the statement is wrong,
FALSE
6)Parametric tests usually have more statistical power than non-parametric tests. this is a true statement,because it make use of some extra information about the data: the nature of the distribution from which the data are assumed to have come. But for non parametric we use this test when the distribution does not follow the some basic assumptions like normally distributed and so on.
so it is a TRUE statement