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THE EFFECT OF CRITERION SCORE GROUPING UPON ITEM PARAMETER ESTIMATION
Author(s) -
Baker Frank B.
Publication year - 1967
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1967.tb00389.x
Subject(s) - statistics , mathematics , variance (accounting) , interval (graph theory) , confidence interval , differential (mechanical device) , sampling (signal processing) , estimation , econometrics , computer science , combinatorics , accounting , management , filter (signal processing) , economics , engineering , business , computer vision , aerospace engineering
The differential effect of three grouping procedures upon the first two moments of the sampling distributions of the parameters X 50 and β of the item characteristic curve were investigated empirically. The results of the study indicated that differences in the variances of β and X 50 as well as in the bias of X 50 could be attributed to differences in grouping procedures. Item parameter estimates possessing the minimum bias and variance within the study were those yielded by the grouping procedure which used equally spaced criterion score intervals and the same number of subjects within each interval.