Best wording for marriage relationship

Hello,

I would like the opinion of native speakers on the following: women were asked to rate the relationship with their spouses (the women were not necessarily married but all of them lived with a partner) as good, regular or bad.

I would like to know how best to word the following:

High self-esteem correlated significantly with positive marriage relationship ratings.

Other possibilities: couple relationship, spousal relationship, marital relationship, marriage relationship, conjugal relationship, and whatever else I missed.

Also, does marriage and relationship with the partner mean exactly the same thing? For example, if I said "rated their marriages positively," would the meaning be exactly the same? Thanks very much.