FURTHER RESULTS ON THE STANDARD ERRORS OF ESTIMATE ASSOCIATED WITH ITEM‐EXAMINEE SAMPLING PROCEDURES | Zendy

SHOEMAKER DAVID M. | Zendy

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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.

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