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Peer reviewedRae, Gordon – Educational and Psychological Measurement, 1991
A brief overview is provided of the Conger-Lipshitz approach to estimating the reliability of a profile or test battery. A computational example from a recent study shows how canonical reliability can be obtained through existing statistical software. (SLD)
Descriptors: Computer Assisted Testing, Computer Software, Correlation, Equations (Mathematics)
Peer reviewedKnol, Dirk L.; Berger, Martijn P. F. – Multivariate Behavioral Research, 1991
In a simulation study, factor analysis and multidimensional item response theory (IRT) models are compared with respect to estimates of item parameters. For multidimensional data, a common factor analysis on the matrix of tetrachoric correlations performs at least as well as the multidimensional IRT model. (SLD)
Descriptors: Comparative Analysis, Computer Simulation, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedQualls-Payne, Audrey L. – Journal of Educational Measurement, 1992
Six methods for estimating the standard error of measurement (SEM) at specific score levels are compared by comparing score level SEM estimates from a single test administration to estimates from two test administrations, using Iowa Tests of Basic Skills data for 2,138 examinees. L. S. Feldt's method is preferred. (SLD)
Descriptors: Comparative Testing, Elementary Education, Elementary School Students, Error of Measurement
Peer reviewedChang, Hua-Hua; Stout, William – Psychometrika, 1993
The asymptotic posterior normality of latent variable distributions is established under very general and appropriate hypotheses, providing a probabilistic basis for assessing ability estimation/prediction accuracy in the long test case, as well as a first step in making the Dutch Identity conjecture rigorous. (SLD)
Descriptors: Ability, Bayesian Statistics, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedSamejima, Fumiko – Psychometrika, 1993
An approximation for the bias function of the maximum likelihood estimate of the latent trait or ability is developed for the general case where item responses are discrete, which includes the dichotomous response level, the graded response level, and the nominal response level. (SLD)
Descriptors: Ability, Equations (Mathematics), Estimation (Mathematics), Item Response Theory
Peer reviewedStout, William F. – Psychometrika, 1990
Using an infinite item test framework, it is argued that the usual assumption of local independence should be replaced by a weaker assumption--essential independence. The usual assumption of unidimensionality is replaced by a weaker and more appropriate statistically testable assumption of essential unidimensionality. (TJH)
Descriptors: Ability Identification, Equations (Mathematics), Estimation (Mathematics), Item Response Theory
Peer reviewedCohen, Allan S.; Kim, Seock-Ho – Applied Psychological Measurement, 1993
The effectiveness of two statistical tests of the area between item response functions (exact signed area and exact unsigned area) estimated in different samples, a measure of differential item functioning (DIF), was compared with Lord's chi square. Lord's chi square was found the most effective in determining DIF. (SLD)
Descriptors: Chi Square, Comparative Analysis, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedWilson, Mark; Adams, Raymond J. – Journal of Educational Statistics, 1993
A marginal maximum likelihood estimation algorithm is presented for the ordered partition model of M. Wilson that does not require the set of available responses to be fully ordered. The model and its estimation algorithm are illustrated in a comparison of alternative scoring schemes for open-ended science items. (SLD)
Descriptors: Algorithms, Comparative Analysis, Elementary Secondary Education, Equations (Mathematics)
Peer reviewedSnijders, Tom A. B.; Bosker, Roel J. – Journal of Educational Statistics, 1993
Some approximate formulas are presented for standard errors of estimated regression coefficients in two-level designs. If the researcher can make a reasonable guess as to parameters occurring in the model, this approximation can be a guide to the choice of sample sizes at either level. (SLD)
Descriptors: Equations (Mathematics), Error of Measurement, Estimation (Mathematics), Mathematical Models
Peer reviewedNavarro-Perez, M. C.; Serrano-Sanz, J. M. – Education Economics, 2002
Develops a valuation model of educational output based on individual earnings from cross-sectional data; describes the problems associated with defining certain elements of the model and proposes adjustments related thereto; uses model to estimate the value of university education in Spain. (Contains 68 references.) (PKP)
Descriptors: Cross Sectional Studies, Estimation (Mathematics), Foreign Countries, Higher Education
Peer reviewedTate, Richard – Educational and Psychological Measurement, 2000
Investigated the robustness of the group-level polytomous Item Response Theory model to violations of assumptions of school-level normality and within-school normality and constant variance with eight large simulated case samples. Discusses the precision obtained in estimating school ability. (SLD)
Descriptors: Ability, Case Studies, Elementary Secondary Education, Estimation (Mathematics)
Roberts, James S.; Laughlin, James E. – 1996
Binary or graded disagree-agree responses to attitude items are often collected for the purpose of attitude measurement. Although such data are sometimes analyzed with cumulative measurement models, recent investigations suggest that unfolding models are more appropriate (J. S. Roberts, 1995; W. H. Van Schuur and H. A. L. Kiers, 1994). Advances in…
Descriptors: Attitude Measures, Estimation (Mathematics), Item Response Theory, Mathematical Models
Song, Qiang; Chissom, Brad S. – 1991
The concept of fuzzy time series is introduced and used to forecast the enrollment of a university. Fuzzy time series, an aspect of fuzzy set theory, forecasts enrollment using a first-order time-invariant model. To evaluate the model, the conventional linear regression technique is applied and the predicted values obtained are compared to the…
Descriptors: Educational Trends, Enrollment Projections, Estimation (Mathematics), Higher Education
Lix, Lisa M.; Keselman, H. J. – 1993
Current omnibus procedures for the analysis of interaction effects in repeated measures designs which contain a grouping variable are known to be nonrobust to violations of multisample sphericity, particularly when group sizes are unequal. An alternative approach is to formulate a comprehensive set of contrasts on the data which probe the specific…
Descriptors: Comparative Analysis, Computer Simulation, Equations (Mathematics), Estimation (Mathematics)
Junker, Brian W. – 1992
A simple scheme is proposed for smoothly approximating the ability distribution for relatively long tests, assuming that the item characteristic curves (ICCs) are known or well estimated. The scheme works for a general class of ICCs and is guaranteed to completely recover the theta distribution as the test length increases. The proposed method of…
Descriptors: Computer Simulation, Equations (Mathematics), Estimation (Mathematics), Item Bias


