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Zimmerman, Donald W. – Journal of Experimental Education, 1986
A computer program randomly sampled ordered pairs of scores from known populations that departed from bivariate normal form and calculated correlation coefficients from sample values. Hypotheses were tested (1) that population correlations are zero using the t statistic; and (2) that population correlations have non-zero values using the r to z…
Descriptors: Correlation, Hypothesis Testing, Sampling, Statistical Distributions
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Holland, Paul W.; Thayer, Dorothy T. – Journal of Educational Statistics, 1985
Section pre-equating (SPE) equates a new test to an old test prior to the actual use of a new test by making extensive use of experimental sections of a testing instrument. SPE theory is extended to allow for practice effects on both the old and new tests. (Author/BS)
Descriptors: Equated Scores, Mathematical Models, Statistical Studies, Test Construction
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Griffiths, H. B.; McLone, R. R. – Educational Studies in Mathematics, 1984
Results obtained when a procedure for assessing the questions on uniersity mathematics examinations to see what skills were needed for their solution are given for a sample of 1400 questions set during 1976 in 10 British universities. The method is a way of focusing rational argument. (MNS)
Descriptors: College Mathematics, Higher Education, Mathematics Instruction, Test Construction
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de Gruijter, Data N. M. – Psychometrika, 1985
A simplification of Lord and Wingersky's method for computing the asymptotic variance-covariance matrix of maximum likelihood estimates for item and person parameters under some restrictions on the estimates is presented. Computation of the error variance-covariance matrix for the item parameters in the Rasch model is described. (NSF)
Descriptors: Error of Measurement, Latent Trait Theory, Matrices, Maximum Likelihood Statistics
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Sternberg, Robert J. – Educational Researcher, 1984
Argues that IQ tests work only for some people some of the time. Offers a theory that emphasizes the roles in intelligence of information-processing, the environmental context, and coping with novelty and automatization of task performance, as a possibility for improving levels of prediction. (CMG)
Descriptors: Cognitive Processes, Epistemology, Intelligence, Intelligence Tests
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Yarnold, Paul R. – Educational and Psychological Measurement, 1984
Unreliable profiles impose the difficulty that ordinal and interval relations among the individual's scores become uncertain or unstable. A profile reliability coefficient is derived to estimate the relative expected extent of this ordinal and interval "inversion" for any profile of K measures. (Author/DWH)
Descriptors: Error of Measurement, Mathematical Models, Profiles, Test Reliability
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Bentler, P. M.; Tanaka, Jeffrey S. – Psychometrika, 1983
Rubin and Thayer recently presented equations to implement maximum likelihood estimation in factor analysis via the EM algorithm. It is argued here that the advantages of using the EM algorithm remain to be demonstrated. (Author/JKS)
Descriptors: Algorithms, Factor Analysis, Maximum Likelihood Statistics, Research Problems
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Rubin, Donald B.; Thayer, Dorothy T. – Psychometrika, 1983
The authors respond to a criticism of their earlier article concerning the use of the EM algorithm in maximum likelihood factor analysis. Also included are the comments made by the reviewers of this article. (JKS)
Descriptors: Algorithms, Estimation (Mathematics), Factor Analysis, Maximum Likelihood Statistics
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Molenaar, Ivo W. – Psychometrika, 1983
Goodness of fit tests for the Rasch model are typically large-sample, global measures. This paper offers suggestions for small-sample exploratory techniques for examining the fit of item data to the Rasch model. (Author/JKS)
Descriptors: Goodness of Fit, Hypothesis Testing, Item Analysis, Latent Trait Theory
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Williams, Richard H.; Zimmerman, Donald W. – Journal of Experimental Education, 1982
A mathematical link between test reliability and test validity is derived, taking into account the correlation between error scores on a test and error scores on a criterion measure. When this correlation is positive, the "paradoxical" nonmonotonic relation between test reliability and test validity occurs universally. (Author/BW)
Descriptors: Correlation, Error of Measurement, Mathematical Models, Test Reliability
Burton, Robert S. – New Directions for Testing and Measurement, 1980
Although Model A, the only norm-referenced evaluation procedure in the Title I Evaluation and Reporting System, requires no data other than the test scores themselves, it introduces two sources of bias and involved three test administrations. Roberts' two-test procedure offers the advantages of less bias and less testing. (RL)
Descriptors: Comparative Analysis, Mathematical Formulas, Scores, Statistical Bias
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Kraemer, Helena Chmura – Psychometrika, 1981
Limitations and extensions of Feldt's approach to testing the equality of Cronbach's alpha coefficients in independent and matched samples are discussed. In particular, this approach is used to test equality of intraclass correlation coefficients. (Author)
Descriptors: Analysis of Variance, Correlation, Hypothesis Testing, Mathematical Models
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Holland, Paul W. – Psychometrika, 1981
Deciding whether sets of test data are consistent with any of a large class of item response models is considered. The assumption of local independence is weakened to a new condition, local nonnegative dependence (LND). Necessary and sufficient conditions are derived for a LND item response model. (Author/JKS)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Psychometrics
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Bentler, P. M.; Woodward, Arthur J. – Psychometrika, 1980
A chain of lower bound inequalities leading to the greatest lower bound to reliability is established for the internal consistency of a composite of unit-weighted scores (such as a test). Algorithms for obtaining various reliability coefficients are presented. (Author/JKS)
Descriptors: Factor Analysis, Item Analysis, Measurement Techniques, Test Construction
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Zdenek, Joseph W. – Foreign Language Annals, 1980
In spite of new methodologies in foreign language instruction, much testing is still of the traditional type. Paper and pencil tests are given, testing in exactly the same way the teachers themselves were tested. This article suggests 25 points for language teachers on all levels. (Author/PJM)
Descriptors: Second Language Instruction, Teaching Methods, Test Construction, Test Theory
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