Accession Number : AD0648381

Title :   AN ANALYSIS OF REPEATED MEASUREMENTS ON EXPERIMENTAL UNITS IN A TWO-WAY CLASSIFICATION.

Descriptive Note : Technical rept., 1959-66,

Corporate Author : SCHOOL OF AEROSPACE MEDICINE BROOKS AFB TEX

Personal Author(s) : McNee,Richard C.

Report Date : OCT 1966

Pagination or Media Count : 39

Abstract : In experiments with repeated measurements made on the same subjects, the repeated observations in time may be correlated. The assumption of independent observations, therefore, cannot be made in general. The paper considers the experimental design with treatments in a two-way classification with a disproportionate number of subjects allocated to each treatment combination and repeated measurements made on the subjects. A procedure is shown to be applicable for computing an analysis under somewhat restrictive assumptions. It is assumed that the variances are equal for all times and the correlations in time are equal. The tests obtained are for the three-factor interaction, the two-factor interactions assuming the three-factor interaction zero, and the main effects assuming all interactions zero. The procedure requires the inverse of one matrix, some matrix multiplication, and the calculation of some standard sums of squares. (Author)

Descriptors :   (*BIOMETRY, *STATISTICAL ANALYSIS), EXPERIMENTAL DESIGN, FACTOR ANALYSIS, ANALYSIS OF VARIANCE, MATRICES(MATHEMATICS), MODEL THEORY

Subject Categories : Biology
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE