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Peer reviewedRoss, Donald C. – Educational and Psychological Measurement, 1992
Large sample chi-square tests of the significance of the difference between two correlated kappas, weighted or unweighted, are derived. Cases are presented with one judge in common between the two kappas and no judge in common. An illustrative calculation is included. (Author/SLD)
Descriptors: Chi Square, Correlation, Equations (Mathematics), Evaluators
Peer reviewedMcDonald, Roderick P.; Hartmann, Wolfgang M. – Multivariate Behavioral Research, 1992
An algorithm for obtaining initial values for the minimization process in covariance structure analysis is developed that is more generally applicable for computing parameters connected to latent variables than the currently existing ones. The algorithm is formulated in terms of the RAM model but can be extended. (SLD)
Descriptors: Algorithms, Correlation, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedHarsch, Gunther – School Science Review, 1991
The author explains that randomlike serial data of different provenance are shown to contain a hidden common pattern which is governed by a simple law--the "Law of Statistical Relaxation." A model is introduced for illustrating how to interpret this law, and some applications are considered. (PR)
Descriptors: Mathematical Models, Science Education, Sciences, Scientific Methodology
Peer reviewedRodenhausen, Hermann – Psychological Review, 1992
The model of discourse comprehension of W. Kintsch (1988) draws on connectionist ideas and gives rise to some mathematical questions that are investigated in this paper, giving theoretical support to the model. (Author/SLD)
Descriptors: Comprehension, Equations (Mathematics), Mathematical Applications, Mathematical Models
Peer reviewedArabie, Phipps – Psychometrika, 1991
The current state of multidimensional scaling using the city-block metric is reviewed, with attention to (1) substantive and theoretical issues; (2) recent algorithmic developments and their implications for analysis; (3) isometries with other metrics; (4) links to graph-theoretic models; and (5) prospects for future development. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Graphs, Literature Reviews
Peer reviewedTakane, Yoshio; And Others – Psychometrika, 1991
Formal relationships are explored among several methods of linearly constrained correspondence analysis. The seven methods considered fall within one of two classes corresponding to ways of imposing linear constraints: the reparameterization method, and the null space method. A connection between these classes is established through a lemma by C.…
Descriptors: Analysis of Variance, Correlation, Equations (Mathematics), Least Squares Statistics
The Magical Number Seven, Plus or Minus Two: Some Limits on Our Capacity for Processing Information.
Peer reviewedMiller, George A. – Psychological Review, 1994
Capacity limitations in absolute judgment tasks are discussed in relation to information theory. Information theory can provide a quantitative way of resolving questions about limitations on the amount of information we can receive and the process of recoding. (SLD)
Descriptors: Cognitive Processes, Decision Making, Encoding (Psychology), Information Theory
Peer reviewedWu, Xiaolin; Fang, Yonggang – Information Processing & Management, 1994
Proposes a scheme of hierarchical piecewise linear approximation as an adaptive image pyramid. A progressive image coder comes naturally from the proposed image pyramid. The new pyramid is semantically more powerful than regular tessellation but syntactically simpler than free segmentation. This compromise between adaptability and complexity…
Descriptors: Coding, Comparative Analysis, Evaluation, Illustrations
Peer reviewedEmbretson, Susan E. – Psychometrika, 1991
A multidimensional model is presented for measuring learning and change based on item response theory. The model specifies a Wiener simplex pattern for involvement of initial ability and one or more modifiabilities in response potential for successive measurement occasions. Properties of the model are explored for several classical issues. (SLD)
Descriptors: Ability, Change, Equations (Mathematics), Item Response Theory
Peer reviewedJoachimsthaler, Erich A.; Stam, Antonie – Multivariate Behavioral Research, 1990
Mathematical programing formulas are introduced as new approaches to solve the classification problem in discriminant analysis. The research literature is reviewed, and an illustration using a real-world classification problem is provided. Issues relevant to potential uses of these formulations are discussed. (TJH)
Descriptors: Classification, Discriminant Analysis, Equations (Mathematics), Literature Reviews
Peer reviewedJones, W. Paul – Educational and Psychological Measurement, 1991
A Bayesian alternative to interpretations based on classical reliability theory is presented. Procedures are detailed for calculation of a posterior score and credible interval with joint consideration of item sample and occasion error. (Author/SLD)
Descriptors: Bayesian Statistics, Equations (Mathematics), Mathematical Models, Statistical Inference
Peer reviewedAlsawalmeh, Yousef M.; Feldt, Leonard S. – Applied Psychological Measurement, 1992
An approximate statistical test is derived for the hypothesis that the intraclass reliability coefficients associated with two measurement procedures are equal. Control of Type 1 error is investigated by comparing empirical sampling distributions of the test statistic with its derived theoretical distribution. A numerical illustration is…
Descriptors: Equations (Mathematics), Hypothesis Testing, Mathematical Models, Measurement Techniques
Peer reviewedDzhafarov, Ehtibar N. – Psychometrika, 1993
A systematic investigation of the Grice modeling scheme for response time (RT) clarifies fundamental notions about RT modeling. The analysis presented can be used to determine what in a certain RT model constitutes a set of empirically testable assumptions and what is merely an arbitrary choice of mathematical language. (SLD)
Descriptors: Equations (Mathematics), Evaluation Criteria, Mathematical Models, Probability
Peer reviewedKiers, Henk A. L.; Takane, Yoshio – Psychometrika, 1993
The DEcomposition into DIrectional COMponents (DEDICOM) method for analysis of asymmetric data gives representations that are identified only up to a non-singular transformation. To identify solutions, it is proposed that subspace constraints be imposed on the stimulus coefficients. Procedures are discussed for several cases. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Least Squares Statistics, Mathematical Models
Peer reviewedPlain-Switzer, Karen – International Journal of Rehabilitation Research, 1993
This article presents a model for the motion of a long-cane executing the touch technique and presents formulas for the projected length of a cane adequate to protect an individual with blindness against wall-type and pole-type hazards. The paper concludes that the long-cane should reach from the floor to the user's armpit. (JDD)
Descriptors: Blindness, Mathematical Formulas, Mathematical Models, Mobility Aids


