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Ellett, Frederick S., Jr.; Ericson, David P. – 1983
Several steps are taken to develop methods for analyzing systems that involve probabilistic causation. The basic ideas and distinctions are illustrated for systems with dichotomous variables. It is shown that these basic ideas have analogous counterparts in causal systems with continuous variables. By using a generalized conditional probability…
Descriptors: Correlation, Mathematical Models, Measurement Techniques, Path Analysis
Peer reviewed Peer reviewed
Shaw, W. M., Jr. – Journal of the American Society for Information Science, 1986
The derivation of a general retrieval effectiveness measure is investigated. Inconsistencies in the definition of relative importance are resolved, and it is shown that the influence of the assigned weight on the effectiveness measure can produce counterintuitive results. An alternative effectiveness measure provided by the Marczewski-Steinhaus…
Descriptors: Evaluation Methods, Information Retrieval, Mathematical Models, Measurement Techniques
Peer reviewed Peer reviewed
Jones, William P.; Furnas, George W. – Journal of the American Society for Information Science, 1987
Presents a model for the geometric analysis of the relationship between information queries and information systems retrieval, and demonstrates the utility of this analysis by its application to six conventional information retrieval similarity measures and a seventh spreading activation measure. (Author/CLB)
Descriptors: Geometric Concepts, Mathematical Models, Measurement Techniques, Relevance (Information Retrieval)
Peer reviewed Peer reviewed
Rousseau, Ronald – Journal of Documentation, 1987
Proposes a new definition of the nuclear zone of a Bradford or Leimkuhler curve. The mathematical rationale is outlined, and examples of the application of this technique to citation analysis are given. (15 references) (CLB)
Descriptors: Citation Analysis, Functions (Mathematics), Graphs, Logarithms
Peer reviewed Peer reviewed
Yovits, M. C.; And Others – Journal of the American Society for Information Science, 1987
Summarizes earlier research in the theory of information flow and its application to practical situations and to the relationship between information and the user's knowledge state. A model for creating information profiles is presented which mathematically represents changes in decision making effectiveness as a function of specific documents.…
Descriptors: Decision Making, Information Transfer, Information Utilization, Mathematical Models
Levine, Michael V. – 1982
Significant to a latent trait or item response theory analysis of a mental test is the determination of exactly what is being quantified. The following are practical problems to be considered in the formulation of a good theory: (1) deciding whether two tests measure the same trait or traits; (2) analyzing the relative contributions of a pair of…
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Measurement Techniques
Jones, Douglas H. – 1982
This paper briefly demonstrates a few of the possibilities of a systematic application of robustness theory, concentrating on the estimation of ability when the true item response model does and does not fit the data. The definition of the maximum likelihood estimator (MLE) of ability is briefly reviewed. After introducing the notion of…
Descriptors: Estimation (Mathematics), Functions (Mathematics), Goodness of Fit, Graphs
Wothke, Werner – 1987
Several multivariate statistical methodologies have been proposed to ensure objective and quantitative evaluation of the multitrait-multimethod matrix. The paper examines the performance of confirmatory factor analysis and covariance component models. It is shown, both empirically and formally, that confirmatory factor analysis is not a reliable…
Descriptors: Analysis of Covariance, Correlation, Estimation (Mathematics), Factor Analysis
Tatsuoka, Kikumi K. – 1982
This study introduced a probabilistic model utilizing item response theory (IRT) for dealing with a variety of misconceptions. The model can be used for evaluating the transition behavior of error types, advancement of learning stages, or the stability and persistence of particular misconceptions. Moreover, it apparently can be used for relating…
Descriptors: Adaptive Testing, Elementary Secondary Education, Error Patterns, Evaluation Methods
Murray, Linda N.; Hambleton, Ronald K. – 1983
The purpose of this research study was to assess item response model-test data fit using residuals. First, a comparison of raw and standardized residuals for describing model-test data fit was carried out. Second, hypotheses concerning the relationship between residual sizes and several item characteristics were studied. The analyses with…
Descriptors: Educational Assessment, Goodness of Fit, Item Analysis, Latent Trait Theory
Baldwin, Beatrice – 1986
LISREL-type structural equation modeling is a powerful statistical technique that seems appropriate for social science variables which are complex and difficult to measure. The literature on the specification, estimation, and testing of such models is voluminous. The greatest proportion of this literature, however, focuses on the technical aspects…
Descriptors: Analysis of Covariance, Computer Software, Equations (Mathematics), Error of Measurement
Embretson, Susan Whitely – 1982
Latent trait models are presented that can be used for test design in the context of a theory about the variables that underlie task performance. Examples of methods for decomposing and testing hypotheses about the theoretical variables in task performance are given. The methods can be used to determine the processing components that are involved…
Descriptors: Aptitude Tests, Difficulty Level, Estimation (Mathematics), Hypothesis Testing
Peer reviewed Peer reviewed
Nichols, James D. – Bioscience, 1992
Describes advances in capture-recapture modeling, including the biologically motivated emphasis on model-based hypothesis testing and the development of models for spatially stratified populations. Discusses the severe problems associated with count statistics reflecting unknown sampling fractions. (67 references) (KR)
Descriptors: Ecological Factors, Estimation (Mathematics), Higher Education, Mathematical Models
Yarnold, Paul R.; And Others – 1985
This paper reports on a short version of the Student Jenkins Activity Survey (JAS), a multiple choice questionnaire that measures Type A "coronary-prone" behavior in assessing subjects' A/B types. The primary objective was to determine if the short and long forms of the student JAS represent similar measurement instruments. A secondary…
Descriptors: Behavior Rating Scales, College Students, Comparative Testing, Factor Analysis
Webber, Larry; And Others – 1986
Generalizability theory, which subsumes classical measurement theory as a special case, provides a general model for estimating the reliability of observational rating data by estimating the variance components of the measurement design. Research data from the "Heart Smart" health intervention program were analyzed as a heuristic tool.…
Descriptors: Behavior Rating Scales, Cardiovascular System, Error of Measurement, Generalizability Theory
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