Ch11 Review

The degrees of freedom for the F test in a one-way ANOVA are:

(c - 1) and (n - c).

In a two-way ANOVA the degrees of freedom for the interaction term are:

(r - 1)(c - 1).

Each of the following are assumptions underlying the use of the One-Way ANOVA except:

Each of the above answers represents an actual assumption underlying the use of the One-Way ANOVA.

Among-group variation is considered to be random error.

FALSE

If the null hypothesis is rejected when conducting a One-Way ANOVA, then there are statistically significant differences between all pairs of means

FALSE

If you are testing for the significance between the average sales among three different brands you are dealing with a factorial design (more than one factor).

FALSE

In the design of a study using a One-Way ANOVA, the factor may have several groups defined by only numerical levels.

FALSE

The Null Hypothesis for conducting a One-Way ANOVA is that "Not all the means are equal."

FALSE

The One-Way Analysis of Variance (ANOVA) statistical method is used to conduct hypothesis testing about the population variance.

FALSE

When testing differences between population means using the One-Way Analysis of Variance (ANOVA) statistical method, the region of rejection is always in the left tail of the F distribution.

FALSE

Studies in which more than one factor at a time are simultaneously studied in a single experiment use the

Factorial Design

In order to calculate the F test statistic for a one-way ANOVA experiment, one would perform which of the following operations?

MSA/MSW

Which of the following components in an ANOVA table are not additive?

Mean squares

In a two-way ANOVA setting, when there are more than two levels of a factor and there is no significant interaction effect, Tukey's multiple comparison procedure can be used to perform pair-wise mean comparisons.

TRUE

In a two-way ANOVA, the interpretations of the main effects make sense only when the interaction component is not significant.

TRUE

In two factor factorial design, factors A and B are said to have interaction if the effect on factor A is dependent on the level of factor B.

TRUE

One of the assumptions made in the application of the one-way ANOVA F test is homogeneity of variance (i.e., the variances for all populations are assumed to be the same).

TRUE

To determine whether or not the data meets the assumption of equal variances, which of the following tests should be conducted?

The Levine Test

When the One-Way ANOVA F test is found to be significant, which statistical method is used as a follow-up procedure to determine between which means there is a statistically significant difference?

Tukey-Kramer Procedure

The one-way ANOVA is used to test statistical hypotheses concerning:

group means.

In what way do the One-Way and Two-Way ANOVA designs differ? In a one-way ANOVA,

one can only test for the treatment effect of a single factor

In a two-way ANOVA the degrees of freedom for the error term are:

rc(n' - 1).

In a one-way ANOVA, if the computed F statistic exceeds the critical F value we may:

reject the null hypothesis since there is evidence of a treatment effect.

The F test for Differences among more than two means is an extension of the

t test for the difference between two independent means

When conducting the One-Way ANOVA F test, the assumption of "homogeneity of variance" requires that

the variances of the groups are equivalent.

The Tukey-Kramer procedure would be used:

to test for pair-wise mean differences

In a one-way ANOVA F test, the "among group" variation is attributable to:

treatment effects.