von der Lippe, Peter Michael; Kladroba, Andreas:

Messung komplexer Variablen als Summe von Punktzahlen: Eine beliebte Methode des Measurement without Theory. (Measuring Complex Variables by Sums of Scores: A Popular and Questionable Method of Measurement without Theory. With English summary.)

In: Jahrbucher fur Nationalokonomie und Statistik, Jg. 224 (2004) ; Nr. 1, S. 115-134
ISSN: 00214027
Zeitschriftenaufsatz / Fach: Wirtschaftswissenschaften
A popular and widespread, though rarely ever scrutinised method of measuring a complex multi-dimensional construct y and consists of adding the scores x[subscript 1], . . . , x[subscript m] assigned to a unit in m "dimensions". These scores ("indicators") are supposed to represent the m relevant aspects of y. Interestingly the sum-of-scores method (SSM) is not only lacking a theoretical justification there is not even a clear understanding of the relevance of the correlation between the indicators for y. The paper therefore aims at relating the SSM to methods of multivariate analysis and tries to clarify the role of weights in the summation of scores.