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1. How to do a Wilcoxon Test<br />Step 1: Produce a table like the one below<br />ParticipantCondition ACondition BDifference(A-B)Rank of Difference<br…
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  • 1. How to do a Wilcoxon Test<br />Step 1: Produce a table like the one below<br />ParticipantCondition ACondition BDifference(A-B)Rank of Difference<br />Step 2: Fill out columns 1-3, this will make working out the difference of columns 2 and 3 easier<br />Step 3: Work out the difference from Condition A and Condition B, it is always A - B so you will sometimes get negative numbers.<br />Step 4: If any participants gain a score of zero then ignore them for the following steps as they will not be ranked. Now your scores in column 4 need to be ranked, for the time being ignore whether they are negative or positive numbers. Start with lowest score and rank that at 1 and work from the lowest to the highest until you have fully ranked the scores, remembering to leave any participants who a score of zero out. If there any of the same numbers they will still take up 2 ranks, but they will be ranked the same.<br />For example if you have 2 participants who have a score 1 in the difference column, they take up ranks 1 and 2 but are both ranked at 1.5 and the next number will take up rank 3 and so on.<br />Step 5: Now all of the scores have been ranked, you need to find the T value, this is very easily done. Any numbers in the difference column which are positive, their ranks need to be added together, the same goes for any numbers in the difference column which are negative. Once you have done this you will end up with 2 scores, please note which is negative and which is positive as this is helpful in finding the T value.<br />Step 6: Once the negative and positive scores have been found, you can now find the T value. The score from the negative numbers is the T value. <br />Step 7: Now you have the T value you need to compare it to the critical value table. There is a different table for a two-tail hypothesis and a one-tail hypothesis.<br />Table to show 5% significance level from a two-tailed hypothesis<br />N (group size)T (critical value of)61728496108111112141317142115251630173518401946205221592266<br />To gain significance the observed value must be equal to or less than the critical value.<br />p ≤ 0.05<br />Step 8: Now write a statement of significance to clarify.<br />An example, just to make everything clear.<br />ParticipantCondition ACondition BDifference(A – B)Rank of Difference184+45298+11.5378-11.54107+34593+66675+23<br />+ = 19.5<br />- = 1.5<br />1.5 is the T value and the critical value in the table above is 1.<br />Statement of Significance<br />As the calculated value (T value = 1.5) is higher than the critical value (1), where n=6 for a two-tailed hypothesis, with a p=0.05 level of significance, the research hypothesis can be rejected and the null hypothesis accepted. <br />
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    Jul 23, 2017
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