Which of the following statements is not true concerning assumptions that ANOVA

Question

Which of the following statements is not true concerning assumptions that ANOVA procedures rely on?

Each of the populations being compared follows the normal probability distribution.

The observations must be independent of one another.

The populations being compared have equal variances.

The observations are either nominal or ratio data.

Each of the populations being compared follows the normal probability distribution.

The observations must be independent of one another.

The populations being compared have equal variances.

The observations are either nominal or ratio data.

Explanation / Answer

(1) interval data of the dependent variable,

(2) normality,

(3) homoscedasticity , and

(4) no multicollinearity.

Furthermore similar to all tests that are based on variation (e.g. t-test, regression analysis, and correlation analyses) the quality of results is stronger when the sample contains a lot of variation – i.e., the variation is unrestricted and not truncated.

Firstly, the ANOVA requires the dependent variable in the analysis to be of metric measurement level (that is ratio or interval data) the independent variables can be nominal or better. If the independent variables are not nominal or ordinal they need to be grouped first before the factorial ANOVA can be done.

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So, Answer is

D.THE OBSERVATIONS ARE EITHER NOMINAL OR RATIO DATA

this statements is not true concerning assumptions that ANOVA procedures rely on.

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