Question

When talking about non-parametric testing. What is the best way to compare the following 3 test and how would I select one to use?

1. Wilcoxon signed ranks method

2. Man-Whitney ranks sums method

3. Chi squared test

Here are the two hypothesis where I have to use one of the test one:

1. People with higher educational attainment smoke less.

2.  People who smoke have lower total cholesterol compared to those who don’t smoke.

Answer 1

When talking about non-parametric testing. What is the best way to compare the following 3 test and how would I select one to use?

1. Wilcoxon signed ranks method

For the Wilcoxon signed-rank test we can ignore cases where the difference is zero. For all other cases, we assign their relative rank.

2. Man-Whitney ranks sums method

The Mann Whitney Wilcoxon Test or the Wilcoxon Rank Sum Test is used to test whether two samples are likely to derive from the same population (i.e., that the two populations have the same shape).

3. Chi-squared test

The chi-squared test refers to certain types of statistical hypothesis tests that are valid to perform when the test statistic is chi-squared distributed under the null hypothesis.

Here are the two hypothesis where I have to use one of the test one:

1. People with higher educational attainment smoke less.