The Yasuda index Y is based on a representation of “pure” mobility that contradicts fundamental assumptions underlying the definition of mobility components. Using a matrix representation of pure mobility the index is modified so that it retains its theoretical appeal and validity. Under the proposed modification the index is a ratio of the two amounts of pure mobility - that which is extracted from the matrix of observed mobility and that which is extracted from the corresponding matrix of “perfect mobility.” For a given matrix of observed transitions both quantities are determinable by means of linear programming.
P. V. Marsdenは差別的交際を分析する手法を提示した。この手法はログリニア・モデルを応用して、社会的交際パターンについてのいくつかの仮説を検証しようとするものである。かれの分析手法に含まれる「集団内交際の優越」仮説は、各人の所属する集団内での交際のほうが集団外との交際よりも優越するというものである。また「社会的距離」仮説は、集団間の社会的交際がその集団間の社会的距離の大きさと逆比例関係にあるというものである。こうした仮説を経験的に検証するために、かれはログリニア・モデルを再定式化し、交際が「社会的距離」と関連していることを仮定したモデルでは新たなパラメータを導入した。しかし、このパラメータのデリベーションには問題がある。本稿では、こうしたMarsdenの分析手法を検討し、その問題点を示す。
A causal model of domestic task sharing among married couples was proposed with power, relative resources, time availability, and ideology as the main predictor variables. The model was then examined using a large American sample (N=3649) and multiple indicator model with the LISREL program. Confirmatory factor analysis led us to eliminate some indicators which have loadings on both endogenous and exogenous dimensions. The structural analysis utilizing the LISREL indicated that the theoretical model proposed here was generally valid but some new causal paths must be added. Findings showed us that the husband's relative share in housework decreases when he works full-time, earns more money, holds a traditional sex-role orientation, and gets less satisfaction from performing household tasks. His share also decreases when his wife does not work, holds a traditional sex-role orientation, and gets more satisfaction from doing housework. In addition, the husband does relatively more housework when he is less powerful in the relationship with his wife. A sensitivity analysis was conducted to check the effect of arbitrarily fixed factor loadings of single indicators and it proved that the model was quite stable among combinations of differently fixed indicator loadings on unmeasured dimensions. Although explanations based on the relative resources principle have been the most common in this topic, other factors such as the power relationship and sex-role orientations must be considered in a more plausible theoretical model of domestic task sharing within a family.