How to statistically test whether parents and children share similar humor styles? I have data from children and their parents on their humor styles (using the Humor Styles Questionnaire by Martin (2003)).

For the adult version: It's a 32-item measure, with 4 subscales for each humor style (Affiliative, Aggressive, Self-Defeating, and Self-Enhancing) so there's 8 items for each subscale.

For the children's version: There are 24 items, with 4 subscales so 6 items per humor style. The items for the children are on a 4-point scale and the parents are on a 7-point scale.

Research Question: I want to assess whether children share humor styles with their parents.

What kind of test would help me find out if children have the same humor styles as their parents?

References

Martin, R. A., Puhlik-Doris, P., Larsen, G., Gray, J., &amp; Weir, K. (2003). Individual differences in uses of humor and their relation to psychological well-being: Development of the Humor Styles Questionnaire. Journal Of Research In Personality, 37(1), 48-75. doi:10.1016/S0092-6566(02)00534-2
Assuming the data are dyadic (i.e., one child per parent), you would probably focus on correlating child scores with parent scores.

Hopefully, you have a sense of how the child and parent scales align. Hopefully, they are designed to measure equivalent constructs albeit with different items.

The fact that you've used different scales is a potential confound. Presumably, the are good reasons for this given that the humour of children and adults is expressed quite differently. But that's something, you'll have to reason through in terms of measurement and theory.

The fact that the scales have different numbers of items and response options is mostly irrelevant. As soon as you start using different items, then you've essentially got different variables.

Although not relevant to you, more commonly, data involving dyads involves using the same instruments. e.g., husbands and wive both completing the same measure of big 5 personality. In that case, you can do lots of things, like comparing descriptive statistics, ICCs, and other values. David Kenny has lots of resources in that case on dyadic data analysis: http://www.davidakenny.net/dyad.htm