This Figure illustrates the non-symmetric distribution of the
success and failure of a normal sample on an item targeted one
logit below the sample. "S", the mean of those succeeding, is
closer to the sample mean, "A", than is "F", the mean of those
failing.
Ivan Horabin
"Where social measurement has relied heavily on methods
borrowed from psychophysics, psychometrics, and economic index
numbers, rather than methods well suited to the population
sciences, it has encountered seemingly intractable difficulties,
which are only exacerbated by adherence to an inadequate doctrine
of scale types. A sociology of measurement, allied with an expanded
historical metrology, is needed not less for the improvement of
measurement technique than for an understanding of the role of
quantification in society."
Otis Dudley Duncan, Notes on Social
Measurement. 1984 p. xiii
"Unanimity of opinion may be fitting for a church, for the
frightened or greedy victims of some (ancient or modern) myth, or
for the weak and willing followers of some tyrant. Variety of
opinion is necessary for objective knowledge. And method that
encourages variety is also the only method that is compatible with
a humanitarian outlook."
Paul Feyerabend in Against
Method. 1975.
Rejoice! The Rasch model demands variety!
Notes and Quotess. Rasch Measurement Transactions, 1989, 3:3 p.71ff.
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