Using Murdock's old distinction between limited and general polygyny, we did not find any association between limited polygyny and pain or fear in initiation ceremonies, although there was a significan association with general polygyny. With your more refined measure, there may be. At some point, after the SCCR meeting and if Herb agrees to run the tests, we might use your measures with our measures of pain, fear, and circumcision to see if there is an association with any particular kind or degree of polygyny beyond just the general form.
Herbert Barry III and Alice Schlegel. 1980 Measurements of Adolescent Sexual Behavior in the Standard Sample of Societies.
Herbert Barry III and Alice Schlegel. 1980. Cross-Cultural Samples and Codes. Pittsburgh: University of Pittsburgh Press.