  Quiz Over 1st Half of Chapter 13 (pp. 276-292) of the 6th Edition

Two-Way Analyses of Variance

(NOTE: A different quiz covers pages 292-310 of Chapter 13.)

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 ANOVA, 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 a 3x5 ANOVA, there are __ levels and __ cells.
6.  3; 5 5; 3 8; 15 15; 8 None of the above
7. There will always be an even number of cells in a two-way ANOVA.
8.  True False
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 13.5, 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. How many samples were in Excerpt 13.6's study?
2.  2 4 6 8
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, the study's populations ___ (must/might/can't) 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 associated with Excerpt 13.4, how many main effect means are there for Occupational Status?
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. 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?
12.  Yes No
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 gender in Excerpt 13.5.
2.  Ho: mgender = mfaculty Ho: mmale = mfaculty Ho: mfemale = mfaculty Ho: mmale = mfemale
3. In Excerpt 13.7, how many ms would appear in the main effect null hypothesis for anxiety level?
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 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 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. The information in Table 13.1 shows a(n) _________ relationship between the size of F and the size of p.
8.  direct inverse
Presentation of Results: Results from Various Two-Way ANOVA Studies
1. In Excerpt 13.8, which 2 numbers in the table were used to compute the F-value for MEF?
2.  718.21 and 84.98 718.21 and 208.62 718.21 and 51.35 1.66 and 4.06
3. In Excerpt 13.9, the 2 computed means are _______ means.
 main effect cell
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. 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.
7.  True False
8. 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).
9.  3 4 5 6
10. 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.
11.  True False

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