In one-way ANOVA,separation of the variation observed in the dependent variable into the variation due to the independent variables plus the variation due to error is called ________.
A) one-way analysis of variance
B) n-way analysis of variance
C) analysis of covariance (ANCOVA)
D) decomposition of the total variation

Question

Quizplus · Accepted Answer

One-way ANOVA involves separating the total variation observed in the dependent variable into the variation due to the independent variable(s) and the variation due to error. This is known as decomposition of the total variation. A is incorrect because it simply describes the type of analysis being conducted. B is incorrect because it refers to ANOVA with multiple independent variables. C is incorrect because ANCOVA involves incorporating a covariate into the analysis, which is not necessarily relevant to the question being asked.

In One-Way ANOVA,separation of the Variation Observed in the Dependent