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Dong, Nianbo; Lipsey, Mark – Society for Research on Educational Effectiveness, 2010
This study uses simulation techniques to examine the statistical power of the group- randomized design and the matched-pair (MP) randomized block design under various parameter combinations. Both nearest neighbor matching and random matching are used for the MP design. The power of each design for any parameter combination was calculated from…
Descriptors: Simulation, Statistical Analysis, Cluster Grouping, Mathematical Models
Peer reviewedBrainerd, Charles J.; Howe, Mark L. – Child Development, 1980
The question of whether or not a certain mathematical model is applicable to the paired-associate data of preschool children as well as adults was examined in five experiments. (Author/MP)
Descriptors: Age Differences, College Students, Foreign Countries, Mathematical Models
Offir, Joseph – 1971
With the advance of computers, extensive work has been undertaken in the field of programmed instruction. Much effort has been invested to devise schemes of optimal instruction with respect to suitable criteria. Yet, what is needed is a theory which prescribes how learning can be improved, i.e., a theory of instruction. The present study is…
Descriptors: Computer Assisted Instruction, Elementary School Mathematics, Individual Differences, Instructional Improvement
SUPPES, PATRICK; AND OTHERS – 1962
WITH THE INTENTION OF APPLYING A MATHEMATICAL THEORY OF LEARNING TO SECOND LANGUAGE ACQUISITION, A TWO-PART EXPERIMENT USING TWO SETS OF 20 STUDENTS WAS CONDUCTED AT STANFORD UNIVERSITY. IN EXPERIMENT I THE SS (SUBJECTS) WERE ASKED TO DISTINGUISH DIFFERENCE OR SAMENESS IN PAIRS OF INITIAL RUSSIAN SYLLABLES. THESE 144 SYLLABLES WERE GROUPED INTO…
Descriptors: Auditory Discrimination, Consonants, Learning Theories, Mathematical Models
BATCHELDER, WILLIAM H. – 1966
RESEARCH IS REPORTED HERE CONCERNING THE ASSUMPTION THAT ITEMS IN A LIST MUTUALLY AFFECT EACH OTHER IN VERBAL LIST-LEARNING. THE AUTHOR CONSIDERS BOTH THE MODE OF THE DATA ANALYSIS AND THE METHOD OF S-R (STIMULUS RESPONSE) PRESENTATION FOR A NUMBER OF RESTRICTED THEORETICAL ASSUMPTIONS INVOLVING ITEM INTERACTIONS IN S-R LIST-LEARNING EXPERIMENTS.…
Descriptors: Associative Learning, Educational Psychology, Learning Processes, Learning Theories
Stinaff, Russell D. – 1973
The problem of structuring sequences of instructional stimuli such that learning is optimized is modelled as a sequential decision problem with an imbedded mathematical model of learning providing a criterion function. Three types of optimization methods for such a representation are investigated for the specific case of paired-associate learning…
Descriptors: Algorithms, Computer Oriented Programs, Computer Science, Educational Research
Atkinson, Richard C.; Lorton, Paul, Jr. – 1969
Two mathematical models of paired-associate learning were used to develop optimal strategies for presenting spelling words to 42 elementary school children. The study was conducted within a computer-based drill-and-practice project. For the study two computer programs were developed. One program presented and corrected the lists of words. The…
Descriptors: Computer Assisted Instruction, Computer Programs, Educational Technology, Learning Processes


