This paper describes a PASCAL program that computes both different types of transitions and learning statistics suitable for learning experiments in which a two-stage Markov model is used. The frequency counts of the different transitions are used for estimating the parameters of the two-stage Markov model, where-as the learning statistics are employed for the goodness of fit tests of this model.
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References
1.
Brainerd, C. J. (1982). Editorial. Developmental Review, 2, 209-212.
2.
Brainerd, C. J. (1983). Structural invariance in the developmental analysis of learning. In J. Bisanz, G. Bisanz, and Kail, R. V. (Eds.), Learning in children: Progress in cognitive development. New York: Springer-Verlag.
3.
Brainerd, C. J. , Desrochers, A., and Howe, M. L. (1981). Stages-of-learning of developmental interactions in memory. Journal of Experimental Psychology: Human Learning and Memory, 7, 1-14.
4.
Brainerd, C. J. and Howe, M. L. (1978). The origins of all-or-none learning. Child Development, 50, 1028-1033.
5.
Brainerd, C. J. , Howe, M. L., and Kingma, J. (1982). An identifiable model of two-stage learning. Journal of Mathematical Psychology, 26, 263-293.
6.
Brainerd, C. J. , Howe, M. L., Kingma, J., and Brainerd, S. H. (1984). On the measurement of storage and retrieval factors in development. Journal of Experimental Child Psychology, 37, 478-499.
7.
Brainerd, C. J. , Kingma, J., and Howe, M. L. (in press). Long-term memory development and learning disability: Storage and retrieval loci of disabled/nondisabled differences. In S. Ceci (Ed.), Handbook of cognitive, social, and neuropsychological aspects of learning disabilities. Hillsdale, NJ: Erlbaum.
8.
Estes, W. K. (1962). Learning theory. In P. R. Earnsworth, O. McNemar, and Q. McNemar (Eds.), Annual review of psychology, Vol. 13. Palo Alto, CA: Annual Review, Inc.
9.
Feller, W. (1950). An introduction to probability theory and its applications. Vol. 1. New York: Wiley.
10.
Greeno, J. G. (1970). How associations are memorized. In D. A. Norman (Ed.), Models of human memory. New York: Academic Press.
11.
Greeno, J. G. (1974). Representation of learning as discrete transition in a finite space. In D. H. Krantz, R. C. Atkinson, R. D. Luce, and P. Suppes (Eds.), Contemporary developments in mathematical psychology, Vol. 1. San Francisco: Freeman.
12.
Greeno, J. G. , James, C. T., Da Polito, F., and Polson, P. G. (1978). Associative learning: A cognitive analysis. Englewood Cliffs, NJ: Prentice Hall.
13.
Heth, C. D. , and Cornell, E. H. (1983). A learning analysis of spatial concept development in infancy. In J. Bisanz, G. Bisanz, and R. V. Kail (Eds.), Learning in children: Progress in cognitive development research. New York: Springer-Verlag.
14.
Howe, M. L. , Brainerd, C. J., and Kingma, J. (1985). Storage-retrieval processes of normal and learning-disabled children: A stages-of-learning analysis of picture words effects. Child Development, 56, 1120-1133.
15.
Howe, M. L. and Hunter, M. A. (1985). Adult age differences in storage-retrieval processes: A stages-of-learning analysis of developmental interactions in concreteness effects. Canadian Journal of Psychology, 39, 130-150.
16.
Kemeny, J. G. and Snell, J. L. (1960). Finite Markov chains. Englewood Cliffs, NJ: Prentice Hall.
17.
Kingma, J. (in press). The new two-stage model of learning: A tool for analyzing the loci of memory differences in intellectually impaired children. In J. Bisanz, C. J. Brainerd, and R. V. Kail (Eds.), Formal models of cognitive development. New York: Springer-Verlag.
18.
Levine, G. and Burke, C. J. (1972). Mathematical model techniques for learning theories. New York: Academic Press.
19.
Norman, M. F. (1972). Markov processes and learning models. New York: Academic Press.
20.
Sedlak, A. J. and Walton, M. D. (1982). Sequencing in social repair: A Markov grammar of children's discourse about transgressions. Developmental Review, 2, 305-329.
21.
Wilkinson, A. C. (1982). Theoretical and methodological analysis of partial knowledge. Developmental Review, 2, 274-304.
