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Harter, Stephen P. – Journal of the American Society for Information Science, 1975
Confirms previously published research in concluding that specialty words tend to possess frequency distributions which cannot be described by a single Poisson distribution. (Author/PF)
Descriptors: Automatic Indexing, Indexing, Keywords, Mathematical Models
Silvern, Leonard C. – Educ Technol, 1969
Descriptors: Communication (Thought Transfer), Language, Mathematical Models, Models
Davison, Mark L. – 1981
The interest in developmental sequences and learning hierarchies is growing. One approach to the study of such sequences is to gather data on several variables, each of which corresponds to a stage, step, or phase in the sequence and to examine the associations between the variables as displayed in a contingency table. If the variables are…
Descriptors: Cognitive Development, Hypothesis Testing, Mathematical Models, Probability
Wolfle, Lee M. – 1981
Hierarchial causal models are described as pictorial representations of multiple regression equations. These models are particularly helpful for three reasons: (1) the formulation of problems in a path analytic framework forces a degree of explicitness that is often not present in research reports that rely solely on regression; (2) they provide a…
Descriptors: Mathematical Models, Multiple Regression Analysis, Path Analysis, Research Methodology
Lindley, Dennis V. – 1972
The standard statistical analysis of data classified in two ways (say into rows and columns) is through an analysis of variance that splits the total variation of the data into the main effect of rows, the main effect of columns, and the interaction between rows and columns. This paper presents an alternative Bayesian analysis of the same…
Descriptors: Analysis of Variance, Bayesian Statistics, Mathematical Models, Statistical Significance
Hakstian, A. Ralph – 1973
Over the years, a number of rationales have been advanced to solve the problem of "blind" oblique factor transformation. By blind transformation is meant the transformation of orthogonal--and often interpretively ineffectual--factors to a position usually dictated by Thurstone's principles of simple structure, but not influenced by a…
Descriptors: Factor Analysis, Mathematical Models, Matrices, Oblique Rotation
Grandon, Gary M. – 1980
This paper describes a quantitative model for the optimal assignment of students to courses for their complete high school careers. The model--the Automatic Curriculum Planning Program (ACPP)--can assign curriculum to a complete set of students based on their derived student grouping. Following a review of the literature on techniques for…
Descriptors: Curriculum Development, Mathematical Models, School Schedules, Secondary Education
Mayekawa, Shin-ichi; Haebara, Tomokazu – 1980
A least squares approach to estimating the reliability of a measure consisting of more than three content homogeneous or congeneric parts is proposed. The advantages of this method over a more indirect approach in which certain parts of a measure are combined to use Kristof's or Feldt's coefficients are examined. One hundred four-part tests were…
Descriptors: Achievement Tests, Least Squares Statistics, Mathematical Models, Test Reliability
ZIMMERMAN, DONALD W.; BURKHEIMER, GRAHAM J., JR. – 1968
INVESTIGATION IS CONTINUED INTO VARIOUS EFFECTS OF NON-INDEPENDENT ERROR INTRODUCED INTO MULTIPLE-CHOICE TEST SCORES AS A RESULT OF CHANCE GUESSING SUCCESS. A MODEL IS DEVELOPED IN WHICH THE CONCEPT OF THEORETICAL COMPONENTS OF SCORES IS NOT INTRODUCED AND IN WHICH, THEREFORE, NO ASSUMPTIONS REGARDING ANY RELATIONSHIP BETWEEN SUCH COMPONENTS NEED…
Descriptors: Computers, Item Analysis, Mathematical Models, Objective Tests
CHARNES, A.; AND OTHERS – 1967
A GOAL PROGRAMING MODEL FOR SELECTING MEDIA IS PRESENTED WHICH ALTERS THE OBJECTIVE AND EXTENDS PREVIOUS MEDIA MODELS BY ACCOUNTING FOR CUMULATIVE DUPLICATING AUDIENCES OVER A VARIETY OF TIME PERIODS. THIS PERMITS DETAILED CONTROL OF THE DISTRIBUTION OF MESSAGE FREQUENCIES DIRECTED AT EACH OF NUMEROUS MARKETING TARGETS OVER A SEQUENCE OF…
Descriptors: Linear Programing, Mathematical Models, Media Research, Operations Research
Fox, Karl A.; And Others – 1967
The objectives of this project were (1) to select those problems faced continually by department chairmen, deans and college presidents, which relate to the efficiency with which educational resources are used, (2) to state essential features of these problems in mathematical form and identify their mathematical structures with management science…
Descriptors: Administration, Administrative Problems, Decision Making, Higher Education
Horst, Paul – 1970
In the traditional Guttman-Harris type image analysis, a transformation is applied to the data matrix such that each column of the transformed data matrix is the best least squares estimate of the corresponding column of the data matrix from the remaining columns. The model is scale free. However, it assumes (1) that the correlation matrix is…
Descriptors: Correlation, Factor Analysis, Mathematical Models, Research Methodology
Snelsire, Robert W. – 1969
The problem of designing computer programs that will approach human capabilities in pattern recognition is discussed. Human beings are much better at recognizing patterns that are highly structured than at recognizing patterns that are not. In contrast, a computer system's performance in pattern recognition is almost independent of the amount of…
Descriptors: Classification, Game Theory, Learning, Mathematical Models
Nigro, George A. – 1969
The beta coefficient of an intermediate variable in a causal direction remains relatively constant as other system variables are introduced and controlled in stepped regression, whereas that in the acausal direction changes noticeably. Normalized random numbers (200x5) were generated and substituted in interdependent equations to produce five…
Descriptors: Experiments, Logic, Mathematical Concepts, Mathematical Models
Paz, Benito Castejon; And Others – 1973
The major aim of this study is to devise a model for rationalizing sports policies by defining the basic concepts that should be inherent in any proper sports policy despite the infinite diversity that characterizes actual sport situations. The first part of the study discusses three concepts which are basic to the model: a) the "level of sport"…
Descriptors: Athletics, Conceptual Schemes, Mathematical Models, Models
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