Quiz Over the 1st Half of Chapter 13 (pp. 306-324)

Two-Way Analyses of Variance

(NOTE: This quiz covers pages 306-324 of the book. A different quiz covers pages 324-344.)

Introduction
1. Whereas a one-way ANOVA has 1 independent variable, a two-way ANOVA has 2 independent variables.
2.  True False
3. A two-way ANOVA is ______ in nature.
4.  univariate multivariate
Similarities Between One-Way and Two-Way ANOVAs
1. Like a one-way ANOVA, a two-way analysis of variance focuses on
2.  means variances correlations
3. Like a one-way ANOVA, inferences in a two-way ANOVA move from the population to the sample.
4.  True False
The "Structure" of a Two-Way ANOVA: Factors, Levels, and Cells
1. In a two-way, there will always be 2 factors.
2.  True False
3. The constituent parts of a factor are called _____ .
4.  components elements levels nodes slices
5. In Excerpt 13.1, how many of the two-way ANOVA's factors are referred to in Table 3's title?
6.  Neither of them. One of them. Both of them. It's impossible to tell.
7. In a 3x5 ANOVA, there are __ levels and __ cells.
8.  3; 5 5; 3 8; 15 15; 8 None of the above
9. A two-way ANOVA must have a minimum of how many cells?
10.  1 2 3 4
The "Structure" of Two-Way ANOVAs: Active & Assigned Factors; the Formation of Groups
1. If used as an independent variable in a two-way ANOVA, which of these would be an "active" factor:
2.  gender marital status hair color None of the above
3. In Excerpt 13.2, both factors were ____ .
4.  active assigned
5. A two-way ANOVA's research participants can be randomly assigned to cells only if both factors are active.
6.  True False
The "Structure" of Two-Way ANOVAs: Between-Subjects and Within-Subjects Factors
1. Any factor in a two-way ANOVA will be either a "between-subjects" factor or a(n) "______" factor.
2.  among-subjects inside-subjects outside-subjects within-subjects
3. If a factor is "between-subjects" in nature, research participants will be measured under (i.e., exposed to) all levels of the factor.
4.  True False
5. An assigned factor will necessarily be "between-subjects" in nature.
6.  True False
The "Structure" of Two-Way ANOVAs: Samples and Populations
1. Consider Excerpts 13.5 and 13.6. In which study were there more samples?
2.  The study from which Excerpt 13.5 was taken. The study from which Excerpt 13.6 was taken It's impossible to tell based on the information provided.
3. The number of populations in a two-way ANOVA corresponds with the number of ____.
4.  subjects levels factors cells
5. If both factors of a two-way ANOVA are assigned (as exemplified by Excerpt 13.1), the study's populations ___ be tangible in nature.
6.  must might can't
7. If one or both factors of a two-way ANOVA are active, the two-way ANOVA's populations will be ____ in nature.
8.  abstract tangible
Three Research Questions
1. In a two-way ANOVA, __ research questions involve main effects while __ involve interactions?
2.  1; 1 1; 2 2; 1 2; 2
3. In the study that provided Excerpt 13.7, how many main effect means were there for Food Condition?
4.  2 3 4 12 It's impossible to tell based on the information provided.
5. 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 scores of how many participants?
6.  3 9 10 30 90
7. If all cell means are identical, it follows that all of the main effect means will be identical too.
8.  True False
9. The research question dealing with interaction is concerned with cell means, not main effect means.
10.  True False
11. In Excerpt 13.1, there would have been absolutely no interaction if the upper left-hand mean had been equal to
12.  2.13 2.37 2.87 None of the above
13. If the 2 factors are called A and B, is the AxB interaction the same thing as the BxA interaction?
14.  Yes No
The Three Null Hypotheses (and the Three Alternative Hypotheses)
1. Using symbols, show what the null hypothesis was for the main effect of Prime Condition in Excerpt 13.7.
2.  Ho: mprime condition = mfood condition Ho: mfood = mdeath primes = msocial transgressions Ho: mdeath = mfail = mneutral Ho: mno food = munpleasant = mneutral = mpleasant
3. In Excerpt 13.6, how many ms would appear in the main effect null hypothesis for ethnicity?
4.  2 4 6 8
5. What would the subsript "labels" be for the population means referred to by the previous question?
6.  Instructional program content; Job attribute content Academic transfer; Career education; Compensatory education Intrinsic; Extrinsic; Work context It is impossible to tell based on the information provided
7. If both main effect null hypotheses are false, the interaction null hypothesis must also be false too.
8.  True False
9. In the right-hand picture near the bottom 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 true?
10.  The null hypothesis for Rows The null hypothesis for Columns The interaction null hypothesis Both of the main effect null hypotheses All three of the null hypotheses
11. The alternative hypothesis for the main effect of "rows" says that ___ of the row ms differ.
12.  none at least two all
Presentation of Results: The Two-Way ANOVA Study on Identifying States
1. Whereas a one-way ANOVA leads to 1 F-ratio, a two-way ANOVA leads to __ F-ratios.
2.  2 3 4
3. The labels for the columns in one-way and two-way ANOVA summary tables are the same.
4.  True False
5. The main effect rows are usually located near the ___ of the two-way ANOVA summary table.
6.  top bottom
7. 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?
8.  1.00 4.09 5.8525 102.8088 None of the above
Presentation of Results: Results from Various Two-Way ANOVA Studies
1. In Table 13.1, the row for interaction could have been labeled "MS x G."
2.  True False
3. In Excerpt 13.12, the 4 computed means are:
 main effect means cell means
4. If the summary table for a 3x4 ANOVA indicates that dferror = 108 , how many research participants were measured?
5.  108 109 120 121 1,296
6. The Fs and ps in Excerpts 13.10, 13.11, and 13.14 show that there is a ______ relationship between F and p.
7.  direct indirect unsystematic unknown
8. 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?
9.  .051 .056 1.09 1.60 2.14
10. (T/F) The results of Excerpt 13.12 show that if both main effects in a two-way ANOVA turn out significant, then the interaction also will be significant.
11.  True False

NOTE: Questions dealing with the 2nd half of Chapter 13 appear in a separate online interactive quiz.

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