By Albert R. Wildt
This e-book offers a strategy for examining the results of variables, teams, and coverings in either experimental and observational settings. It considers not just the most results of 1 variable upon one other, but in addition the consequences of crew instances.
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Additional info for Analysis of Covariance (Quantitative Applications in the Social Sciences)
The first, , is the total sum of squares of Y (adjusted for the grand mean) not adjusted for the covariate. This term is designated Tyy and is referred to as the total sum of squares of Y. The second term; where is the total sum of squares of X; represents an adjustment that is made to the unadjusted total sum of squares of Y which removes linear effects of the covariate. This adjustment will always reduce the sum of squares for Y as long as bT does not equal 0. Consequently, the total adjusted sum of squares of Y, Tyy(adj), is sometimes called the reduced sum of squares.
Completely Randomized Design The term ''completely randomized design" is used here in a broad sense and refers to those contexts, both experimental and observational, where interest centers on detecting differences in the dependent variable over the various levels of a single qualitative independent variable, which may represent distinct naturally occurring groups of observations or levels of an experimental treatment. The problem perspective assumed here is that which has previously been labled the experimental perspective, in which interest centers on the relationship between the qualitative independent variable and the dependent variable with the covariate, or quantitative independent variable, considered as a nuisance variable.
One of the following formats can be adapted (depending on the style manual used): (1) WILDT, ALBERT R. and AHTOLA, OLLI T. (1978) Analysis of covariance. Sage University Paper Series on Quantitative Applications in the Social Sciences, 07-012. Newbury Park, CA: Sage. OR (2) Wildt, A. , & Ahtola, O. T. (1978). Analysis of covariance (Sage University Paper Series on Quantitative Applications in the Social Sciences, series no. 07-012). Newbury Park, CA: Sage. Page 3 Contents Editor's Introduction 5 1.
Analysis of Covariance (Quantitative Applications in the Social Sciences) by Albert R. Wildt