A theory and procedure of scale analysis with applications by R. J. Mokken
By R. J. Mokken
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Extra resources for A theory and procedure of scale analysis with applications in political research
C treated in chapters 3 and 4. arc u�ed in cxpcrimcnts to estimate the toxicity of medicines (bio-a�say). ckcted by procedures much farther removed from such sampling methods. g. human) populations. In all these cases statistical model� form an attempt at providing a basis for the generalization. apparently with some claim to success. The concept of a wider population of behavioral items relevant to a construct we wish to measure is well in agreement with intuition. > :,tudied items as indicators of other types of behavior, in spite of the carefulness with which one works, one ends up with the feeling that other items might have done just as well.
Many properties can be derived from a certain symmetry in the rob or the subject parameters, (8), and the roles of the items, (o). hmnally the roles of the two sets are often identical. For instance. 1. 5. The roles of items and subjects have, however, been reversed. 5. which giv es at a certain point on the 8-axis the probability that a subject with that value will pass that item, we may. ta/1 scale 41 \\ill be passed by subject o,. :t \alue 8,) 10 and one elsewhere. 6 shows the two trace line� of �ubjects 0, and o�.
Remarking that in the case of a scalable universe (in which all possible questions of the same content form G-items). a person ranking higher than another on a sample of items will rank higher in the universe also. he goes on to say without further proof: ... 1 his is an important property of scales, that from a sample of aflrihutes "'e can draw inferences about the universe ofallributes .. 81). The deter111inistic 11/odel: the C uunwn scale 39 as common a� i� the no t ion of a population or subjects.