Hostname: page-component-74656f9884-c52kr Total loading time: 0 Render date: 2026-11-08T13:10:20.841Z Has data issue: false hasContentIssue false
  • English
  • Français

Fitting Cross-Classification Table Data to Models when Observations are Subject to Classification Error

Published online by Cambridge University Press:  01 January 2025

Hoben Thomas
Hoben Thomas*
Affiliation:
The Pennsylvania State University
*
Requests for reprints should be sent to Hoben Thomas, Department of Psychology, 513 B.V. Moore Building, Pennsylvania State University, University Park, PA 16802.
Get access Rights & Permissions [Opens in a new window]

Abstract

Individuals are classified in a cross-classification table where two behavioral observations on each individual determine the classification. The problem is to test certain structural models assumed to underlie the cross-classified observations. A minimum chi-square test procedure is proposed.

Keywords

growth processcognitive development

Information

Type
Original Paper
Information
Psychometrika , Volume 42 , Issue 2 , June 1977 , pp. 199 - 206
Copyright
Copyright © 1977 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Reference Note

Stafford, R.E. An investigation of similarities in parent-child test scores for evidence of hereditary components, 1963, Princeton, New Jersey: Educational Testing Service.CrossRefGoogle Scholar

References

Brainerd, C. J. & Fraser, M. A further test of the ordinal theory of number development. Journal of Genetic Psychology, 1975, 127, 21–33.CrossRefGoogle Scholar
Cramér, H. Mathematical methods of statistics, 1946, Princeton: Princeton University Press.Google Scholar
Fienberg, S. E. & Holland, P. W. On the choice of flattening constants for estimating multinomial probabilities. Journal of Multivariate Analysis, 1972, 2, 127–134.CrossRefGoogle Scholar
Flavell, J. H. The developmental psychology of Jean Piaget, 1963, New York: D. Van Nostrand.CrossRefGoogle Scholar
Flavell, J. H. An analysis of cognitive-developmental sequences. Genetic Psychology Monographs, 1972, 86, 279–350.Google Scholar
Mote, V. L. & Anderson, R. L. An investigation of the effect of misclassification on the properties of X 2-tests in the analysis of categorical data. Biometrika, 1965, 52, 95–109.Google Scholar
Pinard, A. & Laurendeau, M. “Stage” in Piaget’s cognitive-developmental theory: Exegesis of a concept. In Elkind, D. & Flavell, J. H. (Eds.), Studies in cognitive development: Essays in honor of Jean Piaget, 1969, New York: Oxford University Press.Google Scholar
Roscoe, J. T. & Byars, J. A. Sample size restraints commonly imposed on the use of the chi-square statistic. Journal of the American Statistical Association, 1971, 66, 755–759.CrossRefGoogle Scholar
Tate, M. W. & Hyer, L. A. Inaccuracy of the X 2 test of goodness of fit when expected frequencies are small. Journal of the American Statistical Association, 1973, 68, 836–841.Google Scholar
Wohlwill, J. F. The study of behavioral development, 1973, New York: Academic Press.Google Scholar