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 (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 _____ . How many factors are there in a 3x5 ANOVA? How many levels? How many cells? (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 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 13.5, 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 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 13.6'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 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. 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 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. 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.