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Slez, Adam; O'Connell, Heather A.; Curtis, Katherine J. – Sociological Methods & Research, 2017
Areal data have been used to good effect in a wide range of sociological research. One of the most persistent problems associated with this type of data, however, is the need to combine data sets with incongruous boundaries. To help address this problem, we introduce a new method for identifying common geographies. We show that identifying common…
Descriptors: Data, Data Processing, Geographic Information Systems, Research Methodology
Peer reviewedKeselman, H. J.; And Others – Educational and Psychological Measurement, 1981
This paper demonstrates that multiple comparison tests using a pooled error term are dependent on the circularity assumption and shows how to compute tests which are insensitive (robust) to this assumption. (Author/GK)
Descriptors: Hypothesis Testing, Mathematical Models, Research Design, Statistical Significance
Peer reviewedYarnold, 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
Peer reviewedBuchanan, Bruce – Psychometrika, 1988
A model is proposed that describes subject behavior on repeat paired comparison preference tests. The model extends prior work in this area in that it explicitly allows for abstentions and permits the derivation of individual true scores of discrimination ability as well as conditional estimates of proportionate preference. (Author/TJH)
Descriptors: Attitude Measures, Equations (Mathematics), Guessing (Tests), Mathematical Models
Peer reviewedWilson, Mark – Applied Psychological Measurement, 1988
A method for detecting and interpreting disturbances of the local-independence assumption among items that share common stimulus material or other features is presented. Dichotomous and polytomous Rasch models are used to analyze structure of the learning outcome superitems. (SLD)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Test Interpretation
Peer reviewedMeredith, William; Millsap, Roger E. – Psychometrika, 1992
A unified treatment is presented for conditions that should allow detection of measurement bias using statistical procedures involving only observed or manifest variables. Computational results demonstrate that methods for studying bias that rely exclusively on manifest variables are not generally diagnostic of the presence or absence of…
Descriptors: Bayesian Statistics, Equations (Mathematics), Identification, Item Bias
Peer reviewedZimmerman, Donald W.; And Others – Journal of Experimental Education, 1981
Reliability coefficients of linear combinations of observed scores have anomalous properties which have led to difficulties in the investigation of difference scores and gain scores in test theory. Discrepancies between classical results and correct results obtained from more general formulas, which allow for correlated errors, are examined…
Descriptors: Error of Measurement, Mathematical Formulas, Mathematical Models, Scores
Peer reviewedLecoutre, Bruno – Journal of Educational Statistics, 1991
The routine epsilon approximate test in repeated measures designs when the condition of circularity is unfulfilled uses an erroneous formula in the case of two or more groups. Because this may lead to underestimation of the deviation from circularity when the subject number is small, a correction is proposed. (Author/SLD)
Descriptors: Equations (Mathematics), Error Correction, Estimation (Mathematics), Mathematical Models
Peer reviewedLevine, Joel H. – Psychometrika, 1979
Social and naturally occurring choice phenomena are often of the "pick any" type in which the number of choices made by a subject as well as the set of alternatives from which they are chosen is unconstrained. A model and scaling method for these data are introduced. (Author/JKS)
Descriptors: Data Analysis, Item Analysis, Mathematical Models, Multidimensional Scaling
Peer reviewedGlasnapp, Douglas R. – Educational and Psychological Measurement, 1984
The concept of change is related to suppressor variable conditions in a least square regression model. The domain of conditions necessary for a weighted change score composite to emerge as an underlying construct is mapped and the information loss through arbitrary assignment of weights to a change composite is explored. (Author/BW)
Descriptors: Achievement Gains, Least Squares Statistics, Mathematical Models, Pretests Posttests
Peer reviewedBeuk, Cees H. – Journal of Educational Measurement, 1984
A systematic method for compromise between absolute and relative examination standards is proposed. The passing score is assumed to be related to expected pass rate through a simple linear function. Results define a function relating the percentage of successful candidates given a specified passing score to the passing score. (Author/DWH)
Descriptors: Achievement Tests, Cutting Scores, Foreign Countries, Mathematical Models
Peer reviewedGross, Alan L. – Psychometrika, 1990
A model is proposed for investigating test validity as a predictor of a criterion variable when there are both missing and censored scores in the data set. Implications for maximum likelihood estimation are discussed, and the method is illustrated with hypothetical data sets. (SLD)
Descriptors: Equations (Mathematics), Mathematical Models, Maximum Likelihood Statistics, Predictive Measurement
Peer reviewedBird, Kevin D. – Educational and Psychological Measurement, 1991
A method is outlined for analysis of the shape of an individual profile of scores on a standardized test battery. The method uses a simultaneous test procedure allowing for an overall test of profile flatness, with follow-up tests on all contrasts of interest. (SLD)
Descriptors: Equations (Mathematics), Hypothesis Testing, Mathematical Models, Profiles
Peer reviewedBudescu, David – Journal of Educational Measurement, 1985
An important determinant of equating process efficiency is the correlation between the anchor test and components of each form. Use of some monotonic function of this correlation as a measure of equating efficiency is suggested. A model relating anchor test length and test reliability to this measure of efficiency is presented. (Author/DWH)
Descriptors: Correlation, Equated Scores, Mathematical Models, Standardized Tests
Peer reviewedGresham, Frank M. – School Psychology Review, 1983
The multitrait multimethod model of test validation is a conceptual approach for collecting, organizing, and integrating this information in making classification and intervention decisions for handicapped children. Typical problems with assessment practice are discussed with suggestions for overcoming these difficulties using the…
Descriptors: Classification, Disabilities, Identification, Mathematical Models

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