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Hill, Richard K., Jr. – 1973
A model for multiple choice test-taking behavior is proposed which is different from those presently used for item sampling theory. A new theory is developed, which includes a new concept to facilitate comprehension of item sampling theory, a "number-known" score distribution. A major advantage of the model is that it accommodates data from…
Descriptors: Item Sampling, Mathematical Models, Norms, Speeches
Keesling, J. Ward – 1973
In many circumstances it is appropriate to use the school as the unit of analysis. The variables measured on students must be aggregated to form a mean for each school. However, the means derived from the students sampled in a school will tend to fluctuate around the true mean for the school in a way determined by the within-school correlations…
Descriptors: Analysis of Covariance, Data Analysis, Males, Mathematical Models
Dziuban, Charles D.; Harris, Chester W. – 1972
A reanalysis of Shaycroft's matrix of intercorrelations of 10 test variables plus 4 random variables is discussed. Three different procedures were used in the reanalysis: (1) Image Component Analysis, (2) Uniqueness Rescaling Factor Analysis, and (3) Alpha Factor Analysis. The results of these analyses are presented in tables. It is concluded from…
Descriptors: Correlation, Factor Analysis, Mathematical Models, Predictor Variables
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COLLIER, RAYMOND O. – 1965
CERTAIN SPECIFIC ASPECTS OF HYPOTHESIS TESTS USED FOR ANALYSIS OF RESULTS IN RANDOMIZED EXPERIMENTS WERE STUDIED--(1) THE DEVELOPMENT OF THE THEORETICAL FACTOR, THAT OF PROVIDING INFORMATION ON STATISTICAL TESTS FOR CERTAIN EXPERIMENTAL DESIGNS AND (2) THE DEVELOPMENT OF THE APPLIED ELEMENT, THAT OF SUPPLYING THE EXPERIMENTER WITH MACHINERY FOR…
Descriptors: Computer Programs, Educational Experiments, Mathematical Models, Research Methodology
Durovic, Jerry J. – 1975
A test bias definition, applicable at the item-level of a test is presented. The definition conceptually equates test bias with measuring different things in different groups, and operationally equates test bias with a difference in item fit to the Rasch Model, greater than one, between groups. It is suggested that the proposed definition avoids…
Descriptors: Content Analysis, Definitions, Item Analysis, Mathematical Models
Rouse, William B.; Rouse, Sandra H. – 1976
This paper considers estimation of parameters for a model currently being used to study the Illinois Interlibrary Loan Network (ILLINET) and presents a method for determining how much data should be collected and how it should be aggregated. Four classes of model parameters discussed: demands, probabilities of success, processing times, and…
Descriptors: Data Collection, Interlibrary Loans, Item Sampling, Library Networks
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Hussian, K. M. – New Directions for Institutional Research, 1976
Simulation models predicting resource requirements in higher education are compared (two developed in North American with two from Europe). They reveal a similar logic of relating student teaching loads to college and university resource requirements, but differences of educational program needs produce differing emphases. (JT)
Descriptors: Comparative Education, Educational Finance, Educational Planning, Higher Education
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Krus, David J.; Weiss, David J. – Multivariate Behavioral Research, 1976
Results of empirical comparisons of an inferential model of order analysis with factor analytic models were reported for two sets of data. On the prestructured data set both order and factor analytic models returned its dimensions of length, width and height, but on the random data set the factor analytic models indicated the presence of…
Descriptors: Comparative Analysis, Data Analysis, Factor Analysis, Mathematical Models
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Meincke, Peter P. M.; Atherton, Pauline – Journal of the American Society for Information Science, 1976
Proposes a new conceptual basis for visualizing the organization of information, or knowledge, which differentiates between the concept "vectors" for a field of knowledge represented in a multidimensional space, and the state "vectors" for a person based on his understanding of these concepts, and the representational…
Descriptors: Classification, Conceptual Schemes, Indexing, Information Retrieval
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Tzelgov, Joseph; Stern, Iris – Educational and Psychological Measurement, 1978
Following Conger's revised definition of suppressor variables, the universe relationships among two predictors and a criterion is analyzed. A simple mapping of relationships, based on the correlation between two predictors and the ratio of their validities, is provided. The relation between suppressor and part correlation is also discussed.…
Descriptors: Correlation, Mathematical Models, Multiple Regression Analysis, Predictor Variables
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Ceurvorst, Robert, W.; Stock, William A. – Multivariate Behavioral Research, 1978
The univariate and multivariate models for the analysis of covariance are compared for the case where an experimental design contains between and within subject factors, one dependent variable, and one observation per subject. (Author/JKS)
Descriptors: Analysis of Covariance, Analysis of Variance, Mathematical Models, Statistical Analysis
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Dworkin, Nancy E.; Dworkin, Yehoash S. – Journal of Educational Thought, 1978
Suggests an alternative universe in which failure is identified as a systems concern, instead of a human breakdown. The model presents successful behavior in terms of growth in process efficiency, rather than the +/- (right/wrong) matrix associated with achievement orientation. (Editor)
Descriptors: Academic Failure, Educational Research, Failure, Human Development
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Games, Paul A. – American Educational Research Journal, 1978
Marascuilo's and Levin's use of the term "nesting" to describe a statistical model, and application of the Scheffe tests on restricted sets of contrasts, is opposed. Changing the model during analysis of a complex set of data is both necessary and desirable. (Author/CP)
Descriptors: Data Analysis, Factor Analysis, Hypothesis Testing, Mathematical Models
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Ramsay, J. O. – Psychometrika, 1978
Techniques are developed for constructing confidence regions for each of the points in a multidimensional scaling solution. Bayesian credibility regions are discussed, and a technique for displaying these regions is described. (Author/JKS)
Descriptors: Bayesian Statistics, Hypothesis Testing, Mathematical Models, Measurement Techniques
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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
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