Why use mann-whitney U test rather than independent sample test?
Firstly, allow me to discuss the basic difference between assumptions made in the Mann-Whitney U test and the independent sample t-test. Parametric implies that a distribution is assumed for the population. Non-parametric implies that there is no assumption of a specific distribution for the population. You use the independent sample t-test when you want to test the mean between two groups of data. You use the Mann-Whitney U test when you want to test the median between two groups of data. Two independent sample t-test holds the following assumptions: 1) The populations follow normal distributions 2) The two independent samples are equal in size 3) The variances for both populations are identical (There are also t-test with unequal sizes and/or unequal variances, so assumptions to 2) and 3) can be voided.) Mann-Whitney U test holds the following assumptions: 1) The populations do not follow any specific parametrized distributions 1) The populations of interest have the same shape 2) Th