To see the relationship between alcohol use, inhibitory systems and psychopathology in general population.

H1: A positive correlation would affirm the first part; a negative correlation would affirm the second part. So, presuming you're interested in a linear relationship with interval-strength scores, the ordinary Pearson product-moment correlation would suffice. If scores are ordinal, then Spearman rank-order correlation. If BIS/BAS are categorical, then some flavour of logistic regression would work.



H2: Relationship between TriPM and AUDIT scores. Same choices as H1. So, presuming you're interested in a linear relationship with interval-strength scores, the ordinary Pearson product-moment correlation would suffice.



H3: Correlation between (BIS and BAS scores) and Psychopathy (TriPM). If you're asking, does some combination of BIS and BAS scores systematically relate toTriPM, then ordinary least squares regression would work (assuming continuous variables, interval strength). If ordinal, ordinal regression.

If you're asking about a pair of correlations (e.g., BIS-TriPM, BAS-TriPM), then same choices as H1.

Do you intend to run analyses four times? (E.g., once for 40 and over, once for females), or do you intend to determine whether relationships are identical across your groupings (e.g., same slope for of TriPM-BIS for males as for females)? If the latter, then you'll either need to incorporate sex/demographic attribute of interest as an effect (along with interaction term) and use regression.