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.) Introduction (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 ______ (means/variances). (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 cells? A two-way ANOVA must have a minimum of how many cells? The "Structure" of Two-Way ANOVAs: Active & Assigned Factors; the Formation of Groups If used as an independent variable in a two-way ANOVA, which of these would be an "active" factor: Gender 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 Factors 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 nature. The "Structure" of Two-Way ANOVAs: Samples and Populations How many samples were in Excerpt 13.5's study? What about 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 (as exemplified by Excerpt 13.1), 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 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 scores of how many participants? (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 States 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 x G." 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. Click here for answers. NOTE: Questions dealing with the 2nd half of Chapter 13 appear on a separate quiz.