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Thread: How to prove that a ranked list have more items from category A than B?

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    How to prove that a ranked list have more items from category A than B?




    Hi

    I have a ranked list of 50 items, that consists of items that either belong to category A or B. Is there a way/test to prove with some significance that:
    1- The list have more items of category A
    2- Category A items got higher rank than category B

    Many thanks

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    Re: How to prove that a ranked list have more items from category A than B?

    So for every item (50), the response could be either A or B. Given this you have a list of 50 responses of either As and/or Bs, now you want to prove there are more As.

    Unclear where the ranking comes into play, is it just a ranking of A or B, or do these values get ranked as well. May help to present an example item.
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    Re: How to prove that a ranked list have more items from category A than B?

    For example , group of 100 student from school A and B compete in different sports. From 100 we will select the top 50 students.
    1- We want to see which school ( A or B) achieved more medals
    2- Which school was ranked higher in terms of the medals

    Example
    Student - Medal - School
    1 - 20 - A
    2- 18 - B
    3- 17 - A
    4- 12 - B
    ...

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    Re: How to prove that a ranked list have more items from category A than B?

    Look into the Wilcoxon rank sum test using medians.
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    Re: How to prove that a ranked list have more items from category A than B?

    The Wilcoxon rank sum test talks about 2 groups that I can't figure out

    In case of 6 rankings
    1- A
    2- B
    3- A
    4- A
    5- B
    6- B

    A is in more top rankings than B, how Wilcoxon rank sum test or other test prove that?

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    Re: How to prove that a ranked list have more items from category A than B?


    Any suggestions?

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