Definitions:-
1-
“In test theory, the standard error of measurement is the standard deviation of
observed test scores for a given true score.”
2-
“The standard error of measurement (SEM) is a statistical phenomenon and is
unrelated to the accuracy of scoring.”
3-
“The standard error (SE) is the standard deviation of the
sampling distribution of a statistic.”
4-
“An estimate of how often a researcher can expect errors of a given size on an
instrument.”
Explanation:-
¢ It is usually estimated
with the following formula in which ‘s’ is the standard deviation of the test
scores and ‘r’ is the reliability of the test.
¢ S measurement = S √
1_r.
¢ All test results,
including scores on tests and quizzes designed by classroom teachers, are
subject to the standard error of measurement.
¢ The term may also be used
to refer to an estimate of that standard deviation, derived from a particular
sample used to compute the estimate.
¢ For example, the sample
mean is the usual estimator of a population mean.
¢ The SEM is in standard
deviation units and can be related to the normal curve.
¢ SEM is a related to
reliability.
¢ As the reliability
increases, the SEM decreases.
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