Measuring subjective well-being: Unfolding the Bradburn Affect Balance Scale

Factor analysis of the items in the Bradburn Affect Balance Scale has repeatedly shown that the positive and negative affect items are unrelated. Despite this, negative affect scores are routinely subtracted from positive affect scores to derive Affect Balance Scale Scores that apparently provide a valid measure of a sense of well-being. In this paper we offer a resolution to this paradox — and so justify the use of Affect Balance Scale Scores — by showing that the positive and negative affect items each form a single cumulative scale, and that the two cumulative scales taken together form one unidimensional unfolding scale. This explanation is based on a hypothesis by Coombs and Kao (1960) — later proved mathematically by Ross and Cliff (1964) — that when data that are unfoldable in r dimensions are factor-analyzed, r+1 significant factors will be found. In an empirical test, Bradburn Affect Balance Scale data collected from ten countries in the 1981 and 1990 European Values Study surveys were analyzed. The results clearly support the hypothesis that the data form a single unidimensional unfolding scale, although two of the ten Affect Balance Scale items are not homogenous with the rest.