"Textbook" calculations of statistical power
and/or sample size follow from formulas that assume
that the variables under consideration are
measured without error. However, in the "real
world" of behavioral research, errors of measurement
cannot be neglected. A recent sample-size
determination approach is easily adapted to incorporate
unreliability information for both completely
randomized and randomized block
analysis-of-variance designs. A worked example presents
an instance wherein a blocking strategy is
clearly advantageous assuming infallible measuring
instruments, but not when the same instruments
are granted fallibility.
Levin, Joel R. & Subkoviak, Michael J. (1977). Planning an experiment in the company of measurement error. Applied Psychological Measurement, 1, 331-338. doi:10.1177/014662167700100302
Levin, Joel R.; Subkoviak, Michael J..
Planning an experiment in the company of measurement error.
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