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Brusco, Michael; Steinley, Douglas – Psychological Methods, 2010
Structural balance theory (SBT) has maintained a venerable status in the psychological literature for more than 5 decades. One important problem pertaining to SBT is the approximation of structural or generalized balance via the partitioning of the vertices of a signed graph into "K" clusters. This "K"-balance partitioning problem also has more…
Descriptors: Psychology, Mathematical Models, Stimuli, Measurement Techniques
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
Hall, Ralph F. – Educ Psychol Meas, 1970
Several possible models for use in attitude scaling are defined and discussed in some detail. Unfolding analysis is illustrated. (DG)
Descriptors: Church Role, Mathematical Models, Measurement Techniques, Rating Scales

Ramsay, J. O. – Psychometrika, 1980
In studies involving judgments of similarity or dissimilarity, a variety of other variables may also be measured. In such cases, there are important advantages to joint analyses of the dissimilarity and collateral variables. A variety of models are described for relating these and algorithms are described for fitting these to data. (Author/JKS)
Descriptors: Data Analysis, Guessing (Tests), Mathematical Models, Measurement Techniques

Cohen, Jacob – Educational and Psychological Measurement, 1973
Comments based on J. J. Kennedy's The eta coefficient in complex ANOVA designs,'' EJ 031 388. (CB)
Descriptors: Analysis of Variance, Factor Analysis, Mathematical Models, Measurement Techniques

Bechtel, Gordon G.; And Others – Psychometrika, 1971
Contains a solution for the multidimensional scaling of pairwise choice when individuals are represented as dimensional weights. The analysis supplies an exact least squares solution and estimates of group unscalability parameters. (DG)
Descriptors: Data Analysis, Mathematical Models, Measurement Techniques, Multidimensional Scaling

Carr, John W.; And Others – Journal of Educational Statistics, 1982
Several randomized response models for gathering self-report data when persons are asked sensitive questions are reviewed. A new general model for reducing error by asking questions conditional upon earlier answers is introduced. Hypothesis testing and confidence-interval procedures are demonstrated for data collected by the randomized response…
Descriptors: Data Analysis, Hypothesis Testing, Interviews, Mathematical Models

Nicholls, Paul Travis – Journal of the American Society for Information Science, 1989
Examines the elements involved in fitting a bibliometric model to empirical data, proposes a consistent methodology for applying Lotka's law, and presents the results of an empirical test of the methodology. The results are discussed in terms of the validity of Lotka's law and the suitability of the proposed methodology. (49 references) (CLB)
Descriptors: Bibliometrics, Data Analysis, Goodness of Fit, Mathematical Models

Mood, Alexander M. – Socio-Economic Planning Sciences, 1967
This paper presents a mathematical methodology in treating the systems approach to the evaluation of instruction. The major aspects of the procedure and the use of sensitivity analysis as a check upon the logical validity of the system are discussed. Advantages of a systems analysis when compared to qualitative analysis are also presented.…
Descriptors: Cost Effectiveness, Evaluation Methods, Instructional Programs, Mathematical Models

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

Radecki, Tadeusz – Journal of Documentation, 1982
Presents and discusses the results of research into similarity measures for search request formulations which employ Boolean combinations of index terms. The use of a weighting mechanism to indicate the importance of attributes in a search formulation is described. A 16-item reference list is included. (JL)
Descriptors: Information Retrieval, Mathematical Models, Measurement Techniques, Probability

And Others; Takane, Yoshio – Psychometrika, 1980
An individual differences additive model is discussed which represents individual differences in additivity by differential weighting or additive factors. A procedure for estimating model parameters for various data measurement characteristics is developed. The method is found to be very useful in describing certain types of developmental change…
Descriptors: Algorithms, Data Analysis, Least Squares Statistics, Mathematical Models
Donlon, Thomas F. – 1980
To evaluate test speededness and to derive implications for test program activity, this study reviewed the literature on speed and power, identifying four major approaches to the assessment of speed: the Gulliksen approach, the Cronbach and Warrington approach, the Stafford approach, and the approach of the Educational Testing Service (ETS) as…
Descriptors: Estimation (Mathematics), Evaluation, Mathematical Models, Measurement Techniques
Emrick, John A. – 1971
The validity of an evaluation model for mastery testing applications was investigated. Three variables were tested in an experiment using 96 third grade subjects--amount of training, number of alternates in an item, and number of items. The concept hierarchy involved an orderly progression from a concept involving one relevant of three varying…
Descriptors: Achievement Tests, Cognitive Measurement, Item Analysis, Mathematical Models
Blankmeyer, Eric – 1990
Given "T" joint observations on "K" variables, it is frequently useful to consider the weighted average or scaled score. L-scaling is introduced as a technique for determining the weights. The technique is so named because of its resemblance to the Leontief matrix of mathematical economics. L-scaling is compared to two…
Descriptors: Comparative Analysis, Data Analysis, Economics, Mathematical Models