A Comparison of the Precision of Three Experimental Designs Employing a Concomitant Variable
Author:
- 1 December 1958
- journal article
- research article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 23 (4) , 335-353
Abstract
Three techniques are commonly employed to capitalize on a concomitant variate and improve the precision of treatment comparisons: (1) stratification of the experimental samples and use of a factorial design, (2) analysis of covariance, and (3) analysis of variance of difference scores. The purpose of this paper is to compare the effectiveness of these alternatives in improving experimental precision, to identify the most precise design and the conditions under which its advantage holds, and to derive, in the case of the factorial approach, recommendations as to the optimal numbers of levels.Keywords
This publication has 12 references indexed in Scilit:
- THE USE OF A CONCOMITANT VARIABLE IN SELECTING AN EXPERIMENTAL DESIGNBiometrika, 1957
- Covariance Analysis as an Alternative to Stratification in the Control of GradientsBiometrics, 1955
- Variance Heterogeneity in a Randomized Block DesignBiometrics, 1954
- Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way ClassificationThe Annals of Mathematical Statistics, 1954
- The Use of Covariance to Control Gradients in Experiments1954
- The Use of Analysis of Covariance and Balancing in Analytical SurveysAmerican Journal of Public Health and the Nations Health, 1953
- COVARIANCE ANALYSIS AND ITS APPLICATIONS IN PSYCHOLOGICAL RESEARCHBritish Journal of Statistical Psychology, 1953
- The Assumptions Underlying the Analysis of VarianceBiometrics, 1947
- The Use of TransformationsBiometrics, 1947
- Standard Errors of Yields Adjusted for Regression on an Independent MeasurementBiometrics Bulletin, 1946