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Nordmark, Staffan – VTI Rapport, 1984
This report contains a theoretical model for describing the motion of a passenger car. The simulation program based on this model is used in conjunction with an advanced driving simulator and run in real time. The mathematical model is complete in the sense that the dynamics of the engine, transmission and steering system is described in some…
Descriptors: Computer Simulation, Computer Software, Driver Education, Foreign Countries
Phillips, Gary W. – 1982
The usefulness of path analysis as a means of better understanding various linear models is demonstrated. First, two linear models are presented in matrix form using linear structural relations (LISREL) notation. The two models, regression and factor analysis, are shown to be identical although the research question and data matrix to which these…
Descriptors: Estimation (Mathematics), Factor Analysis, Mathematical Models, Matrices
Peer reviewedPolson, Peter G.; Huizinga, David – Psychometrika, 1974
Descriptors: Algorithms, Computer Programs, Goodness of Fit, Learning Processes
Peer reviewedLied, Terry R.; Tolliver, Don L. – Journal of the American Society for Information Science, 1974
Through utilization of effective sampling procedures, libraries may obtain substantial savings in terms of data collection costs. (Author)
Descriptors: College Libraries, Data Collection, Databases, Libraries
Peer reviewedRouvray, D. H. – International Journal of Mathematical Education in Science and Technology, 1974
Descriptors: Chemistry, Graphs, Instruction, Mathematical Applications
Olsen, Mary Beth; And Others – 1974
In this study, a mathematical model is used to tie both direct and indirect industrial pollution generated by fluctuations of the entire economy to behavioral patterns of the consuming public. The model studies consumer behavior patterns from three viewpoints: income of family, age of head of family, and regional location of family within the…
Descriptors: Consumer Economics, Environment, Industry, Mathematical Models
Peer reviewedAlbright, S. Christian – Socio-Economic Planning Sciences, 1975
Describes a methodology for allocating limited research funds to individual research proposals through the use of a goal-programming approach. Presents an example using hypothetical data, which illustrates the use of the model, particularly its sensitivity to different priority weighting schemes. (Author/JG)
Descriptors: Budgeting, Evaluation Methods, Higher Education, Institutional Role
Peer reviewedBrieske, Thomas J. – Mathematics Teacher, 1975
Vector space concepts are developed by consideration of solutions for linear homogeneous equations. (SD)
Descriptors: Algebra, Geometry, Instruction, Mathematical Experience
Peer reviewedBrown, Stephen I. – Math Teacher, 1969
Descriptors: Educational Problems, Instruction, Mathematical Concepts, Mathematical Models
Cason, Gerald J.; Cason, Carolyn L. – 1981
A theory is discussed in which observed performance ratings are derived from the distance between a rater reference point and subject performance point located on a postulated equal-interval scale and a postulated s-shaped rater characteristic curve, operationalized as the normal ogive. Least-squares estimates of rater (nR=47, 31, and 29) and…
Descriptors: Clinical Experience, Cohort Analysis, Latent Trait Theory, Mathematical Models
Takane, Yoshio – 1980
A maximum likelihood estimation procedure is developed for the simple and the weighted additive models. The data are assumed to be taken by either one of the following methods: (1) categorical ratings--the subject is asked to rate a set of stimuli with respect to an attribute of the stimuli on rating scales with a relatively few observation…
Descriptors: Data Collection, Elementary Education, Factor Analysis, Mathematical Models
Tatsuoka, Kikumi K.; Tatsuoka, Maurice M. – 1980
An index measuring the degree to which a binary response pattern conforms to some baseline pattern was defined and named the Pattern Conformity Index (PCI). One way of conceptualizing what the PCI measures is the extent to which each individual's particular response pattern contributes to, or detracts from, the overall consistency found in the…
Descriptors: Error Patterns, Goodness of Fit, Item Analysis, Mathematical Models
Newman, Isadore; And Others – 1980
When investigating differences between two sets of scores, the t test is appropriate. If the two sets of data are from two groups of subjects, then the independent t test is appropriate. If the two sets are from the same subjects, the dependent t test is required. In this paper, the authors describe the use of a third test when part of a data set…
Descriptors: Hypothesis Testing, Mathematical Models, Multiple Regression Analysis, Research Design
Nediger, W. G. – 1978
This mathematical model is intended to be a tool for the monitoring of the bargaining process and to provide the ability to predict the form of bargaining outcomes given certain initial conditions. It applies to situations in organizations in which the conflict between the expressed desires of interest groups are settled by a bargaining process…
Descriptors: Collective Bargaining, Conflict Resolution, Graphs, Mathematical Models
PDF pending restorationDavis, Charles E.; And Others – 1973
A coherent system of decision making is described that may be incorporated into an instructional sequence to provide a supplement to the experience-based judgment of the classroom teacher. The elements of this decision process incorporate prior information such as a teacher's past experience, experimental results such as a test score, and…
Descriptors: Bayesian Statistics, Cutting Scores, Decision Making, Logic


