In Mann Whitney test, Can anybody clarify my following doubts?
1. Can we arrange the data in ascending order or descending order or in both way?
2. Does the result come same, if we are exchanging the n1 and n2 datasets?
3. How to calculate U value and how to compare to the critical U value?
4. In one of the book (Statistics for Aquaculture by Bhujel RC), the critical U value in the Table (attached here) is not given for all the n1 and n2 observations. Is the Table correct? Further, in that book it is written that if calculated U value is more than critical U value, we have to reject our null hypothesis. I am getting confused.
Any clarification on the above points will be appreciated. Thank you
Thank you very much. It will help me. Can you please clarify the following points?
1. Regarding your answer to point no. 2, Let's say the sample size is same (n1=n2), then do you think the result will come different?
2. Regarding your answer to point no. 4, at what conditions null hypothesis is rejected? calculated U value> critical U value or calculated U value< critical U value?
3. Again check the following two tables of U critical value? Why the values are different if you look at any n1 and n2 (let's check n1=7, n2=7 and alpha=0.05). In the first table, it comes out 41 and in the second table, it is 8.
Kindly check the following website in which there is an example 1 and example 2: It has failed to reject null hypothesis although calculated U value is greater than critical U value.
https://www.statology.org/mann-whitney-u-test/
https://sixsigmastudyguide.com/mann-whitney-non-parametric-hypothesis-test/
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