Quiz Over 1st Half of
Chapter 13 (pp. 276-292) of the
Two-Way Analyses of Variance
(NOTE: A different quiz covers pages 292-310 of Chapter 13.)
- (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 _____ .
- How many factors are there in a 3x5 ANOVA? How many levels? How many
- (T/F) There will always be an even number of cells in a two-way ANOVA.
- 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 13.5, 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 13.6's study?
- The number of populations in a two-way ANOVA corresponds with the
number of ____.
- If both factors of a two-way ANOVA are assigned, the study's populations
___ (must/might/can't) be tangible in nature.
- 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 the study associated with Excerpt 13.4, how many main effect means are there
for Occupational Status?
- 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.
- Is it possible to make up 4 imaginary and different sample means, put them
into the cells of a 2x2 ANOVA, and have absolutely no interaction?
- 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 gender in Excerpt 13.5.
- In Excerpt 13.7, how many ms would appear
in the main effect null hypothesis for anxiety level?
- 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 at the top of page 289, 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.
- The information in Table 13.1 shows a(n) _________ (direct/inverse) relationship
between the size of F and the size of p.
Presentation of Results: Results from Various Two-Way ANOVA Studies
- In Excerpt 13.8, which 2 numbers in the table were used to compute the
F-value for MEF?
- In Excerpt 13.9, the 2 computed means are _______ (main effect/cell) means.
- If the summary table for a 3x4 ANOVA indicates that dferror
= 108 , how many research participants were measured?
- (T/F) If all of the scores supplied by the research participants
are negative, the two-way ANOVA's df numbers will also turn out to be negative.
- In Excerpt 13.8, if the top df number had been 3 (rather
than 1), the 3rd df
value would have been ___ (rather than 2).
- (T/F) The results of Excerpt 13.8 illustrate the fact that if the interaction
in a two-way ANOVA turns out significant, then both main effects also
will be significant.
Click here for answers.
NOTE: Questions dealing with
the 2nd half of Chapter 13 appear on a separate quiz.