I have two data sets to compare which are responses to statements using a Likert scale response anchors (7 in total, always untrue to always true, coded as 1-7) (so non-normally distributed, ordinal data). In the 2 groups (n=24 and n=34, responses collected a year apart), 5 cases appear in both data sets (responses at the different time points from the same people) but all other cases are from people who have only given responses at one of the two time-points.

If I am looking to hypothesis test for group differences, what is the best way to work with these groups? Split into independent and not? Analyse together ignoring the 5 cases where responses are from the same people? Previously, I have analysed other data sets (two and three groups) where all cases have been independent of each other both between and within groups using Mann-Whitney and Kruskal-Wallis tests, but as I have a mix of independent and not cases here, I am unsure on how best to treat the data set/the best hypothesis testing to run?

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