Accession Number : AD0723681

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

Corporate Author : COLORADO STATE UNIV FORT COLLINS

Personal Author(s) : Srivastava,J. N. ; McDonald,L. L.

Report Date : FEB 1971

Pagination or Media Count : 32

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)

Descriptors :   (*STATISTICAL ANALYSIS, EXPERIMENTAL DATA), REGRESSION ANALYSIS, MULTIVARIATE ANALYSIS, CORRELATION TECHNIQUES, STATISTICAL TESTS, SAMPLING, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE