This paper provides a brief overview of the Conger-Lipshitz approach to estimating the reliability of a profile or test battery. In the special case where the profile components are uncorrelated their `canonical reliability' index reduces to Yarnold's index of reliability. A computational example shows how canonical reliability can be readily obtained using existing statistical software packages. A significance test is proposed.
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References
1.
Anderson, T. W. (1984). An introduction to multivariate statistical analysis (2nd ed.). New York: Wiley.
2.
Bentley, A. (1966). Musical ability in children and its measurement. London: Harrap.
3.
Conger, A. J. , and Lipshitz, R. (1973). Measure of reliability for profiles and test batteries. Psychometrika, 38, 411-427.
4.
Harris, R. J. (1975). A primer of multivariate statistics. New York: Academic Press.
5.
Krzanowski, W. J. , Mead, R., and Thorne, S. (1985). On the use of average marks in degree examination data. Applied Statistics, 34, 219-226.
6.
Lord, F. M. , and Novick, M. R. (1968). Statistical theories of mental test scores. Reading, Mass.: Addison-Wesley.
7.
McAnulty, H. M. E. (1988). Correlation between musical ability and intelligence after correcting for attenuation. Unpublished M.A. (Education) dissertation, University of Ulster, Northern Ireland.
8.
Mijares, T. A. (1964). Percentage points of the sum V(s) of s roots (s=1-50). Manila: The Statistical Center, University of the Phillippines.
9.
Minitab, Inc. (1988). Minitab data analysis software. Reference Manual-Release 6.1. Pennsylvania: State College.
10.
Muirhead, R. J. (1970). Asymptotic distributions of some multivariate tests. Annals of Mathematical Statistics, 41, 1002-1010.
11.
Pillai, K. C. S. (1960) Statistical tables for tests of multivariate hypotheses. Manila: The Statistical Center, the University of the Philippines.
12.
Pillai, K. C. S. (1985). Pillai's trace. In S. Kotz, and N. L. Johnson, (Eds.) Encyclopedia of statistical sciences, (Vol. 6), pp. 725-729. New York: Wiley.
13.
SPSS, Inc. (1983). SPSS-X user's guide. New York: McGraw-Hill.
14.
Squire, P. J. (1978). Some observations on the problem of amalgamated marks regressing to the mean. Educational Studies, 4, 245-248.
15.
Yarnold, P. R. (1984). The reliability of a profile. Educational and Psychological Measurement, 44, 49-59.