
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 stepdown procedure which is similar to that presented in J. Roy ((1958). Ann. Math. Statist. 29, 11771187) 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