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By R. J. Mokken

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Extra info for A theory and procedure of scale analysis with applications in political research

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We may interpret thi� as a sort of \emantic distribution. 6 the ... e that i� pas\Cd by 0,. It is a measure of his ability. aliitude. urcd by 0, in the sense that for perfect scale� these proportion'>. though dependent on the particular item distribution. will renect perfectly the order of the 01: for 0, that proportion i� smaller than that for()� becau�e o, < o�. >. Apart from the fact that the quality of our sampling from the universe is unknown. >C k. the number of item-.. idcration. It i-. a virtue of the model that it teaches us to be modest concerning the preci...

In addition the model did not exclude relatively easy and pragmatic methods of analysi� that could be used to define variables in research. The increasing avail­ ability of mechanical equipment in the early fil'ties and the �ub�e­ quent advent of high-speed electronic computor� enlarged these possibilities. The literature on the many variants of thi� model that have been developed is highly dispersed. Good reviews available at the moment are those of Green ( 1954), Edwards ( 1957), Torgcr�on ( 1958.

I 06). In this procedure of defining error. therefore. the principle of repro­ ducibility from the scale score is partially disregarded. ,t a "nearest" perfect pattern is sought. that is. a perfect pattern in compari-;on with which the imperfect one shows the least number of items in error. This number forms the number of errors of our im­ perfect pauern. 3, a comparison of the patter n 5. {I. I. 0. I. 0. 0}. e patte rns that are given in that table. will shO\\ that 1 he "nearest"· perfect pauerns arc both pallern I.

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