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Tzeng, Oliver C. S.; Landis, Dan – Multivariate Behavioral Research, 1978
Two popular models for performing multidimensional scaling, Tucker and Messick's points-of-view model, and Tucker's three mode model, are combined into a single analytic procedure, the 3M-POV model. The procedure is described and its strengths are discussed. Carroll and Chang's INDSCAL model is also mentioned. (JKS)
Descriptors: Correlation, Item Analysis, Mathematical Models, Multidimensional Scaling

Gati, Itamar – Educational and Psychological Measurement, 1981
This paper examines the properties of the Item Efficiency Index proposed by Neill and Jackson (1976; EJ 137 077) for minimum redundancy item analysis. (Author/BW)
Descriptors: Correlation, Factor Structure, Item Analysis, Mathematical Models

Lord, Frederic M. – Psychometrika, 1975
For the six available sets of empirical data, the discrimination (slope) parameter of the logistic item characteristic curve was found to have a significant positive correlation over items with the difficulty (location) parameter. This unpleasant situation can be eliminated by a suitably chosen transformation of the ability scale. (Author/RC)
Descriptors: Ability, Aptitude Tests, Correlation, Item Analysis

Knott, M.; Bartholomew, D. J. – Psychometrika, 1993
Scoring of response vectors to give maximum test-retest correlation is investigated. A general method is given for finding the best scores, deriving them for the normal factor model, and showing that for a standard model for binary response it is easy to approximate the best scores. (SLD)
Descriptors: Correlation, Equations (Mathematics), Factor Analysis, Mathematical Models
Ang, Cheng; Miller, M. David – 1993
The power of the procedure of W. Stout to detect deviations from essential unidimensionality in two-dimensional data was investigated for minor, moderate, and large deviations from unidimensionality using criteria for deviations from unidimensionality based on prior research. Test lengths of 20 and 40 items and sample sizes of 700 and 1,500 were…
Descriptors: Ability, Comparative Testing, Correlation, Item Response Theory
BARNETT, F.C.; SAW, J.G. – 1964
A WORKING MODEL CAPABLE OF RANKING INDIVIDUALS IN A RANDOM SAMPLE FROM A MULTIVARIATE POPULATION BY SOME CRITERION OF INTEREST WAS DEVELOPED. THE MULTIPLE CORRELATION COEFFICIENT OF RANKS WITH MEASURED VARIATES AS A STATISTIC IN TESTING WHETHER RANKS ARE ASSOCIATED WITH MEASUREMENTS WAS EMPLOYED AND DUBBED "QUASI-RANK MULTIPLE CORRELATION…
Descriptors: Computer Programs, Correlation, Data Analysis, Discriminant Analysis
Pettibone, Timothy J.; Diamond, James J. – 1972
Checking of parametric assumptions is an often ignored step in the inferential process. A misconception regarding symmetry (one aspect of "robustness") is prevalent: that in nonsymmetric distributions the mean and median are always non-coincidental. It is to this fallacious point that the discussion is directed. A generally accepted index of…
Descriptors: Correlation, Mathematical Models, Measurement Techniques, Methods
Jordan, John E. – 1976
Guttman's facet theory is described as a method for quantifying information concerning attitudes. It is stated that attitude items are not negatively correlated for usual populations. An attitude is defined as a delimited totality of behavior with respect to something and its components are elements of a set. The first step in facet research…
Descriptors: Affective Behavior, Attitude Measures, Attitudes, Correlation
Ackerman, Terry A. – 1987
One of the important underlying assumptions of all item response theory (IRT) models is that of local independence. This assumption requires that the response to an item on a test not be influenced by the response to any other items. This assumption is often taken for granted, with little or no scrutiny of the response process required to answer…
Descriptors: Computer Software, Correlation, Estimation (Mathematics), Latent Trait Theory
McKinley, Robert L.; Reckase, Mark D. – 1984
To assess the effects of correlated abilities on test characteristics, and to explore the effects of correlated abilities on the use of a multidimensional item response theory model which does not explicitly account for such a correlation, two tests were constructed. One had two relatively unidimensional subsets of items, the other had all…
Descriptors: Ability, Correlation, Factor Structure, Item Analysis
Nandakumar, Ratna – 1992
The performance of the following four methodologies for assessing unidimensionality was examined: (1) DIMTEST; (2) the approach of P. W. Holland and P. R. Rosenbaum; (3) linear factor analysis; and (4) non-linear factor analysis. Each method is examined and compared with other methods using simulated data sets and real data sets. Seven data sets,…
Descriptors: Ability, Comparative Testing, Correlation, Equations (Mathematics)
Besel, Ronald – 1973
The contention is made that group performance data are useful in the construction and interpretation of criterion-referenced tests. The Mastery Learning Test Model, which was developed for analyzing criterion-referenced test data, is described. An estimate of the proportion of students in an instructional group having achieved the referent…
Descriptors: Algorithms, Correlation, Criterion Referenced Tests, Decision Making
Paulson, James A. – 1985
This paper discusses the use of latent class structure as a modelling framework for tests in which much of the data conforms to a relatively small number of systematic patterns. Application of this framework to the analysis of tests has been limited because available parameter estimation algorithms can only handle a relatively small number of…
Descriptors: Algorithms, Correlation, Estimation (Mathematics), Factor Analysis
McLarty, Joyce – 1982
Educators designing procedures for identifying students as learning disabled are faced with serious technical difficulties. A student with a learning disability is one who "has a severe discrepancey between achievement and intellectual ability" in one or more designated areas. The methods of quantifying achievement, intellectual ability,…
Descriptors: Achievement Tests, Correlation, Evaluation Methods, Handicap Identification
Tinsley, Howard E. A.; Dawis, Rene V. – 1972
Selection of items for analogy tests according to the Rasch item probability of "goodness of fit" to the model is compared with three commonly used item selection criteria: item discrimination, item difficulty, and item-ability correlation. Word, picture, symbol and number analogies in multiple choice format were administered to several…
Descriptors: College Students, Correlation, Evaluation Criteria, Goodness of Fit
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