Question

1. One of the two possible causes or explanations for the differences that occur between groups or treatments in ANOVA is that the differences are due to treatment effects. T or F

2. Another possible cause or explanation for the differences that occur between groups or treatments in ANOVA is that the differences occur simply due to chance. T or F

3. The validity of the results of a factorial ANOVA is dependent upon three assumptions, one of them being that the distributions of scores on the DV must have equal variances. T or F

4. Eta squared is commonly viewed as the proportion of variance in the DV explained by the IVs in the sample. T or F

5. Eta squared is viewed as a descriptive statistic and is interpreted as a measure of effect size. T or F

Answer 1

We know that if groups are different then the variance between groups is not due to chance alone ;but due to treatment effect plus error(within group variation).

So,the statement in 1 is True.

The statement in 2 ie, Another possible cause or explanation for the differncees that occure between groups or treatments in ANOVA is that the differences occure simply due to chance is also True.

Now for question 3 the three assuptions of a factorial ANOVA is that 1)interval data of independent variable

2)Normality 3) Homoscedasticity .

Assumption 3) tells us error variance of all data points of DV are equal;but not distribution of scores so the statement of 3 is False.

4. Statement of 4 is also False because Eta Squared is estimates of degrees of association for the sample ie measures of effect size in ANOVA as it measures for sample so this is a descriptive measure.

So the statement 5 is True.