Accession Number:

AD0723681

Title:

Analysis of Growth Curves under the Hierarchical Models and Spline Regression, I,

Descriptive Note:

Corporate Author:

COLORADO STATE UNIV FORT COLLINS

Personal Author(s):

Report Date:

1971-02-01

Pagination or Media Count:

32.0

Abstract:

An analysis of longitudinal data i.e., growth curves, where there is not an equal number of observations recorded on each experimental unit, is developed. The method utilizes a step-down procedure which is similar to that presented in J. Roy 1958. Ann. Math. Statist. 29, 1177-1187 and S. N. Roy and Srivastava 1964. Mahalanobis Dedicatory Volume. Indian Statistical Institute, Calcutta, and for a testable hypothesis yields exact tests for all sample sizes. Also included is a discussion of polynomial spline regression, which appears to be potentially useful in the analysis of growth curves. Finally it is shown that for a certain class of linear hypotheses the method leads to some interesting and unsolved problems in the standard multiresponse model i.e., in the standard multivariate analysis of variance. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE