Quiz Over the 1st Half of
Chapter 13 (pp. 306-324)
Two-Way Analyses of Variance
(NOTE: This quiz covers pages 317-336 of the book.
A different quiz covers pages 336-356.)
- (T/F) Whereas a one-way ANOVA has 1 independent variable, a two-way
ANOVA has 2 independent variables.
- A two-way ANOVA is ______ (univariate/multivariate) in nature.
Similarities Between One-Way and Two-Way ANOVAs
- Like a one-way ANOVA, a two-way analysis of variance focuses on ______
- (T/F) Like a one-way ANOVA, inferences in a two-way ANOVA move from
the population to the sample.
The "Structure" of a Two-Way ANOVA: Factors, Levels, and Cells
- (T/F) In a two-way, there will always be 2 factors.
- The constituent parts of a factor are called _____ .
- In Excerpt 13.1, how many of the two-way ANOVA's factors are referred
to in Table 3's title?
- How many factors are there in a 3x5 ANOVA? How many levels? How many
- A two-way ANOVA must have a minimum of how many cells?
The "Structure" of Two-Way ANOVAs: Active & Assigned Factors; the Formation
- If used as an independent variable in a two-way ANOVA, which of these
would be an "active" factor:
- Marital status
- Hair color
- In Excerpt 13.2, both factors were ____ (active/assigned).
- (T/F) A two-way ANOVA's research participants can be randomly assigned
to cells only if both factors are active.
The "Structure" of Two-Way ANOVAs: Between-Subjects and Within-Subjects
- Any factor in a two-way ANOVA will be either a "between-subjects"
factor or a(n) "______" factor.
- (T/F) If a factor is "between-subjects" in nature, research participants
will be measured under (i.e., exposed to) all levels of the factor.
- (T/F) An assigned factor will necessarily be "between-subjects" in
The "Structure" of Two-Way ANOVAs: Samples and Populations
- How many samples were in Excerpt 13.5's study? What about Excerpt
- The number of populations in a two-way ANOVA corresponds with the
number of ____.
- If both factors of a two-way ANOVA are assigned (as exemplified
by Excerpt 13.1), the study's populations ___ (must/might/can't) be
- If one or both factors of a two-way ANOVA are active, the two-way
ANOVA's populations will be ____ (abstract/tangible) in nature.
Three Research Questions
- In a two-way ANOVA, how many research questions involve main effects?
How many involve interactions?
- In Excerpt 13.7, how many main effect means are there for Food Condition?
- If 10 research participants are randomly assigned to each of the
cells of a 3x3 ANOVA, each main effect mean will be based upon the
- (T/F) If all cell means are identical, it follows that all of the
main effect means will be identical too.
- (T/F) The research question dealing with interaction is concerned
with cell means, not main effect means.
- In Excerpt 13.1, there would have been absolutely no interaction
if the upper left-hand mean had been = __ .
- If the 2 factors are called A and B, is the AxB interaction the same
thing as the BxA interaction?
The Three Null Hypotheses (and the Three Alternative Hypotheses)
- Using symbols, show what the null hypothesis was for the main effect
of Prime Condition in Excerpt 13.7.
- In Excerpt 13.6, how many ms would appear
in the main effect null hypothesis for ethnicity?
- What would the subsript "labels" be for the population means referred
to by the previous question?
- (T/F) If both main effect null hypotheses are false, the interaction
null hypothesis must also be false too.
- In the right-hand picture near the top of p. 319, if the m
in the lower right-hand cell had been equal to 20 (rather than equal
to 0), which of the 3 null hypotheses would be false?
- The alternative hypothesis for the main effect of "rows" says that
___ (all/at least 2) row ms differ.
Presentation of Results: Results From the Two-Way ANOVA Study on Identifying
- Whereas a one-way ANOVA leads to 1 F-ratio, a two-way ANOVA leads
to __ F-ratios.
- (T/F) The labels for the columns in one-way and two-way ANOVA summary
tables are the same.
- The main effect rows are usually located near the ___ (top/bottom)
of the two-way ANOVA summary table.
- In Table 13.1, if the MS for Within Groups had been exactly
1.00, how big would the F have been for the interaction?
Presentation of Results: Results from Various Two-Way ANOVA Studies
- (T/F) In Table 13.1, the row for interaction could have been labeled "MS
- In Excerpt 13.12, the 4 computed means are:
- main effect means
- cell means
- If the summary table for a 3x4 ANOVA indicates that dferror
= 108 , how many research participants were measured?
- The Fs and ps in Excerpts 13.10, 13.11, and 13.14 show that there is a
_______ (direct/indirect) relationships between the size of F and the size of p.
- In Excerpt 13.13, what was the size of the sum of squares for the interaction when the dependent
variable was air-to-ground intrateam coordination?
- (T/F) The content of Excerpt 13.12 shows that if both main effects in a two-way ANOVA turn out
to be significant, then the interaction also will be significant.
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NOTE: Questions dealing with
the 2nd half of Chapter 13 appear on a separate quiz.