The h index has advantages over journal impact factors for assessing the research performance of individuals, and it is becoming a reference tool for career assessment that is starting to be considered by some agencies as an aid in decisions for promotion, allocation, and funding. The h index has been reported to have adequate properties as a measure of the research accomplishments of individuals in areas where h values are usually high (i.e., at or above 40), but some concerns have been raised that its validity in other non-mainstream research areas is suspect. This paper presents data from an exhaustive computation and analysis of h indices for 204 faculty members in the area of Methodology of the Behavioral Sciences in Spain, an area where h indices tend to be low worldwide. The results indicate that the h index is substantially increased by self-citations and that the average h of full professors is not meaningfully larger than the average h of associate professors. Other interesting relations between h indices and demographic and academic variables are described, including the gender and age bias of h. In this field, but perhaps also in other fields where the average h is low, little justification is found for the use of the h index as a fair measure of research performance that can aid in funding or promotion decisions.