Analysis of Growth Curves under the Hierarchical Models and Spline Regression, I,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1971
- Accession Number
- AD0723681
Entities
People
- J. N. Srivastava
- L. L. Mcdonald
Organizations
- Colorado State University