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Peer reviewedRindskopf, David – Psychometrika, 1992
A general approach is described for the analysis of categorical data when there are missing values on one or more observed variables. The method is based on generalized linear models with composite links. Situations in which the model can be used are described. (SLD)
Descriptors: Algorithms, Classification, Data Analysis, Estimation (Mathematics)
Peer reviewedHubert, Lawrence; Arabie, Phipps – Psychometrika, 1992
A method is proposed for comparison of distinct partitions of the same set of n objects through a simple cross-product index defined between corresponding entries from two proximity matrices providing particular a priori codings of the within-class and between-class relationships for the partitions. (SLD)
Descriptors: Comparative Analysis, Equations (Mathematics), Mathematical Models, Matrices
Peer reviewedBookstein, A.; And Others – Information Processing & Management, 1994
Examines two models to study the consequences for coding efficiency of sample fluctuations, a specific type of error in the statistics on which data compression codes are based. The possibility that random fluctuation can be exploited for data compression is discussed. (six references) (KRN)
Descriptors: Coding, Comparative Analysis, Information Storage, Information Theory
Peer reviewedKamakura, Wagner A. – Psychometrika, 1991
Two ideal-point probabilistic choice models from the external analysis of preferences are presented that allow for more flexible distributions of ideal-points. The first extends the probit model of W. Kamakura and R. Srivastava. The second is based on simplifying assumptions that lead to a multidimensional histogram of ideal-points. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Graphs, Mathematical Models
Peer reviewedTague-Sutcliffe, Jean – Information Processing and Management, 1992
Defines the scope and significance of the field of informetrics and relates it to the earlier fields of bibliometrics and scientometrics. Practical and theoretical aspects of informetrics are discussed, including the development of mathematical models and the derivation of measures; and a brief overview of articles in this issue is included. (15…
Descriptors: Bibliometrics, Information Retrieval, Information Science, Mathematical Models
Peer reviewedLambert, Zarrel V.; And Others – Educational and Psychological Measurement, 1991
A method is presented for approximating the amount of bias in estimators with complex sampling distributions that are influenced by a variety of properties. The model is illustrated in the contexts of the bootstrap method and redundancy analysis. (SLD)
Descriptors: Estimation (Mathematics), Mathematical Models, Multivariate Analysis, Sampling
Peer reviewedMillsap, Roger E.; Meredith, William – Multivariate Behavioral Research, 1991
Mathematical relationships between three-mode component analysis and stationary component analysis are explored. Theorems are presented giving constraints that must be satisfied for equivalency between component representations provided by the methods. In general, the two approaches give mathematically distinct representations. (SLD)
Descriptors: Classification, Equations (Mathematics), Longitudinal Studies, Mathematical Models
Peer reviewedBarrett, P. T.; Eysenck, H. J. – Intelligence, 1992
An attempt to replicate the results with averaged evoked potentials (AEPs) of D. E. Hendrickson and A. E Hendrickson (1982) with 40 adults confirms a negative correlation between AEP variability and IQ. The Hendrickson paradigm is seen as no more than a well-controlled auditory evoked potential. (SLD)
Descriptors: Adults, Correlation, Intelligence, Intelligence Quotient
Peer reviewedEnnis, Daniel M.; Ashby, F. Gregory – Psychometrika, 1993
Compares probabilistic models of same-different and identification judgments concerning their sensitivity to perceptual dependence or the degree to which underlying psychological dimensions are correlated. Results support a perceptual independence assumption when using these models and pertain to studies of different decision rules used at…
Descriptors: Equations (Mathematics), Graphs, Identification, Mathematical Models
Peer reviewedFagot, Robert F. – Psychometrika, 1993
A family of coefficients of relational agreement for numerical scales is proposed, generalizing to multiple judges the theory of F. E. Zegers and J. M. F. ten Berge (1985) of association coefficients for two variables, using the premise that choice of coefficient depends on scale type of the variables. (SLD)
Descriptors: Correlation, Equations (Mathematics), Evaluators, Generalizability Theory
Peer reviewedThomas, D. Roland – Multivariate Behavioral Research, 1992
The interpretation of discriminant functions as a follow-up to a significant multivariate analysis of variance is discussed. New indices are proposed that aid in identification and interpretation of the subset of response variables that contribute to a significant group discrimination. Their efficacy is compared to several commonly used…
Descriptors: Comparative Analysis, Equations (Mathematics), Mathematical Models, Multivariate Analysis
Peer reviewedBelbin, Lee; And Others – Multivariate Behavioral Research, 1992
A method for hierarchical agglomerative polythetic (multivariate) clustering, based on unweighted pair group using arithmetic averages (UPGMA) is compared with the original beta-flexible technique, a weighted average method. Reasons the flexible UPGMA strategy is recommended are discussed, focusing on the ability to recover cluster structure over…
Descriptors: Algorithms, Cluster Analysis, Comparative Analysis, Equations (Mathematics)
Peer reviewedOud, Johan H.; And Others – Applied Psychological Measurement, 1990
How longitudinal factor score estimation--the estimation of the evolution of factor scores for individual examinees over time--can profit from the Kalman filter technique is described. The Kalman estimates change more cautiously over time, have lower estimation error variances, and reproduce the LISREL program latent state correlations more…
Descriptors: Educational Research, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
Peer reviewedLiou, Michelle – Applied Psychological Measurement, 1990
The effect of scale selection on error in calibrating item and ability parameters was investigated, with particular reference to the standardized mean-squared difference (SMSD) statistic. Through simulation, three scaling methods for selecting the common scale were used to demonstrate their effects on SMSD values. (SLD)
Descriptors: Comparative Analysis, Computer Simulation, Equations (Mathematics), Mathematical Models
Peer reviewedEllis, Jules L.; van den Wollenberg, Arnold L. – Psychometrika, 1993
Characterizations of local homogeneity and the homogeneous monotone item response theory (IRT) model are provided. The characterization theorem states that the joint condition of experimental independence and pairwise nonnegative association in every nonnegligible subpopulation is necessary and sufficient for the homogenous monotone IRT model.…
Descriptors: Equations (Mathematics), Item Response Theory, Mathematical Models, Predictor Variables


