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

Sample text

We shall henceforth call it the Guttman-Goodenough defini­ tion. The fact that according to this definition "imperfect" patterns arc 11 eighed differently according to their number of errors, will become clear when the definition is applied to the imperfect pattern 6. {0. 0. I. I,0, I}, which also has a score of 3. In this pattern there arc two errors. In Meas11rement and Prediction, however. a second definition is U\cd which leads to a definition of error and hence of scalability difl"er- The de1erminis1ic model: the G Ul/11/tllt scole 45 n :' This definition is i nl!

Defining a coefficient of reproducibility, he states: "It i� secured by counting up the number of respon�cs which would have been predicted wrongly for each person on the basis of his scale score. dividing these errors by the total number of res pons es and \Ubtracting the resulting fraction from I" ( 1950a. 77). rhe first pan of this quotation gives a precise definition of error in term� or the principle of reproducibility which states that for a perfect 44 Theory anc/11/ethod �calc the sca le score or any subject will be the result of one and only one re�ponsc pallc rn: the perfect pattern corresponding to that score.

Thi::. simple method of defining error has hardly been actually put into practice. >ed. however, some imperfect paucrns arc judged "more wrong that others", as we shall sec. Fir'>t there i� the definition by Guuman himself. It is clear enough. Defining a coefficient of reproducibility, he states: "It i� secured by counting up the number of respon�cs which would have been predicted wrongly for each person on the basis of his scale score. dividing these errors by the total number of res pons es and \Ubtracting the resulting fraction from I" ( 1950a.

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