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A Monte Carlo Study of a Method for Detecting a Change in the Slope of a Single Subject's Responses.
Peer reviewedLevy, Kenneth J. – Journal of Experimental Education, 1979
Hawkin's procedure for testing a sequence of observations for a shift in location could have applicability for assessing change within a single subject. Monte Carlo results suggest that Hawkins' procedure is robust with respect to moderate violations of its underlying assumptions of homogeneity of variance and normality. (Author/GDC)
Descriptors: Case Studies, Hypothesis Testing, Individual Development, Mathematical Models
Peer reviewedShapiro, Jonathan – American Educational Research Journal, 1979
Contrary to Anderson (EJ 187 936), his rule for equation identification is a necessary but not sufficient condition; furthermore, the choice of two-stage or ordinary least squares depends on results and not on methodological properties of estimators. Modification of Anderson's rule and a means for choosing between estimates is offered. (Author/CP)
Descriptors: Algorithms, Educational Research, Least Squares Statistics, Mathematical Models
Peer reviewedAndrich, David – Applied Psychological Measurement, 1979
A latent trait measurement model in which ordered response categories are both parameterized and scored with successive integers is investigated and applied to a summated rating or Likert questionnaire. This is a practical procedure for measuring attitudes. (Author/MH)
Descriptors: Attitude Measures, Goodness of Fit, Latent Trait Theory, Mathematical Models
Peer reviewedFox, John; Moore, James C., Jr. – Social Psychology Quarterly, 1979
Fourteen experimental studies were reviewed using linear model of Berger et al. The model fits the data from these experiments remarkably well. These results demonstrate the utility and apparent validity of this theory of status-organizing processes. (Author/RD)
Descriptors: Cognitive Processes, Expectation, Goodness of Fit, Mathematical Models
Peer reviewedHuynh, Huynh; Perney, Jan – Educational and Psychological Measurement, 1979
A procedure is described for the determination of individual mastery scores when instructional units are sequenced in a linear hierarchy. It can be used when data for the entire sequence have been obtained. The process entails working backwards, from the final test to the first. (Author/JKS)
Descriptors: Criterion Referenced Tests, Cutting Scores, Mastery Learning, Mastery Tests
Peer reviewedKozelka, Robert M. – American Mathematical Monthly, 1979
Several models of grading variability are presented. It is shown that study of the models brings out some of the implications of various grading systems. (MK)
Descriptors: College Mathematics, Grade Point Average, Grades (Scholastic), Grading
Peer reviewedKim, Y. S.; And Others – American Journal of Physics, 1979
Using covarient harmonic oscillator formalism as an illustrative example, a method is proposed for illustrating the difference between the Poincare (inhomogeneous Lorentz) and homogeneous Lorentz groups. (BT)
Descriptors: Calculus, College Science, Higher Education, Mathematical Formulas
Peer reviewedBinkley, David; Dessy, Raymond – Journal of Chemical Education, 1979
Techniques for digitalizing analog signal data are presented and compared. The techniques presented are: boxcar averaging, ensemble averaging, unweighted digital filter, weighted digital filter, and analog filter. (BB)
Descriptors: Chemistry, Computer Assisted Instruction, Computers, Data
Peer reviewedMartin, Thomas W.; And Others – Journal of Black Studies, 1977
Logistic analysis of black journal articles suggests that black American publications have passed through cycles of intellectual interest." (Author/JM)
Descriptors: Blacks, Data Analysis, Mathematical Models, Publications
Peer reviewedMarino, George – Mathematics Teacher, 1977
Directions are given for making a model of a three-dimensional coordinate graph. (DT)
Descriptors: Algebra, Geometry, Graphs, Instruction
Peer reviewedAlwin, Duane F. – Sociometry, 1976
A structural equation model for attitude-behavior relationships is presented which conceptualizes attitude scales as congeneric measurements. The model represents a re-parameterization of an earlier one. (Author/RC)
Descriptors: Attitude Change, Attitude Measures, Behavior, Bias
Peer reviewedPandiani, John A.; And Others – Evaluation and Program Planning, 1996
A longitudinal program evaluation approach used in the Vermont system of care for children and adolescents is described. The method focuses on movement between residential placements and compares system functioning to service system values using a person-level longitudinal database. This methodology can be useful in a number of fields. (SLD)
Descriptors: Adolescents, Children, Databases, Emotional Disturbances
Peer reviewedCasey, James – Mathematics Teacher, 1998
Proposes a mathematical way of thinking about how well a rolling object moves. Describes classroom activities that were carried out to measure and evaluate models of rolling objects. In theory, the activities lead immediately to the theory of convex sets. Also includes discussion on Reuleaux rollers. (AIM)
Descriptors: Concept Formation, Evaluative Thinking, Higher Education, Manipulative Materials
Peer reviewedHubbard, Ruth – International Journal of Mathematical Education in Science and Technology, 1997
Presents a model of what it means to understand mathematics followed by examples of exercises designed to develop understanding in specific ways. Presumes that understanding is more likely to develop if it is the direct focus of exercises. (AIM)
Descriptors: Elementary Secondary Education, Higher Education, Mathematical Applications, Mathematical Aptitude
Peer reviewedBarrett, Gary W.; Peles, John D.; Odum, Eugene P. – Bioscience, 1997
Shows how attention to transcending functions provides a new integrative approach to mathematics that can improve the critical thinking and problem-solving skills required for addressing large-scale problems. Contains 38 references. (DDR)
Descriptors: Biology, Concept Formation, Critical Thinking, Educational Strategies


