This paper describes a method for standardizing individually
administered tests, which, for practical reasons,
are ordinarily normed on small samples. Typically,
these samples yield irregular distributions at
each age level, and irregular trends in means and standard
deviations across age levels. To ameliorate this
situation, a procedure is presented that uses the fitted
progression of data across the age levels to develop a
normalized aggregate distribution of all available
cases, with appropriate corrections for the moments of
the individual distributions. This aggregate distribution
is used to represent the norms at every age level, after
adjustment for differences in level and dispersion. The
procedure produces norms with improved stability and
comparability, and it yields a smooth, lawful progression
of scores from one age to the next. To the extent
that the samples of children at every age level represent
the same cohort, except for differences in level
and dispersion of scores associated with age changes,
these data will closely approximate a set of longitudinal
norms, but captured at one point in time.
Angoff, William H & Robertson, Gary J. (1987). A procedure for standardizing individually administered tests, normed by age or grade level. Applied Psychological Measurement, 11, 33-46. doi:10.1177/014662168701100102
Angoff, William H.; Robertson, Gary J..
A procedure for standardizing individually administered tests, normed by age or grade level.
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