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FURTHER RESULTS ON THE STANDARD ERRORS OF ESTIMATE ASSOCIATED WITH ITEM‐EXAMINEE SAMPLING PROCEDURES
Author(s) -
SHOEMAKER DAVID M.
Publication year - 1971
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.1745-3984.1971.tb00928.x
Subject(s) - statistics , standard error , skewness , variance (accounting) , normative , sampling (signal processing) , test (biology) , item response theory , econometrics , psychology , mathematics , computer science , psychometrics , paleontology , philosophy , accounting , epistemology , filter (signal processing) , business , computer vision , biology
Defining one observation as the score received by one examinee on one item, the results of this investigation suggest that, for a given test length, item‐examinee sampling procedures having the same number of observation have, for all practical purposes, the same standard error in estimating μ but different standard errors in estimating σ. Additionally, the variance of the item difficulty indices (proportion answering the item correctly) was found to be a significant factor in accounting for differences in standard errors of estimating μ between normative distributions differing primarily in degree of skewness.