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Equating Error and Statistical Bias in Small Sample Linear Equating
Author(s) -
Parshall Cynthia G.,
Houghton Pansy Du Bose,
Kromrey Jeffrey D.
Publication year - 1995
Publication title -
journal of educational measurement
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.917
H-Index - 47
eISSN - 1745-3984
pISSN - 0022-0655
DOI - 10.1111/j.1745-3984.1995.tb00455.x
Subject(s) - equating , resampling , statistics , sample size determination , mathematics , sample (material) , standard error , statistical hypothesis testing , type i and type ii errors , test (biology) , econometrics , chemistry , paleontology , chromatography , rasch model , biology
A resampling study was conducted to compare the statistical bias and standard errors of nonequivalent‐groups linear test equating in small samples of examinees. Sample sizes of 15, 25, 50, and 100 were examined. One thousand samples of each size were drawn with replacement from each of 5 archival data files from teacher subject area tests. For each test, data files from 2 parallel forms were used. Results suggest trivial levels of equating bias even with small samples, but substantial increases in standard errors as sample size decreases. Results were interpreted in terms of applications to testing situations in which small numbers of examinees are available.