In a two-factor design, factor A is nested within factor B for which one of the following?
a. at each level of A, each level of B appears
b. at each level of A, unique levels of B appear
c. at each level of B, unique levels of A appear
d. cannot be determined
Correct option is c:
c. at each level of B, unique levels of A appear
(since A can occur only within B and there should be no interaction)
In a two-factor design, factor A is nested within factor B for which one of the...
Complete the following ANOVA summary table for a model, where there are three levels of factor A selected by the researcher and two levels of factor B selected at random. Each cell of the design includes 40 students (α = .05). In statistical language (symbols) what are the most appropriate null and alternative hypothesis for each factor (effect) for the model? SS DF MS F Critical Value Decision A 2000 B 1000 AB 3000 Within 1755 Total 7755
3. Consider a two-factor factorial design with three levels in factor A, four levels in factor B, and four replicates in each of the 12 cells. Complete parts (a) through (d). a. How many degrees of freedom are there in determining the factor A variation and the factor B variation? There is/are degree(s) of freedom in determining the factor A variation. (Simplify your answer.) There is/are degree(s) of freedom in determining the factor B variation. (Simplify your answer.) b. How...
Consider a one-factor, between-subjects experiment design with two levels and the same number of subjects in each group. Determine the minimum value for necessary to reject the null hypothesis under the following circumstances: alpha = 0.05, SS_within = 23, n = 5
6. Typically, when comparing a within-subjects design to a between-groups design which of the following describe their differences in error variance? a. Within-subjects designs results in less error variance than between-groups. b. A within-subjects design results in more error variance than a between-groups design. C. A within-subjects design results in the same amount of error variance as a between-groups design d. There is no error variance in a within-subjects design, whereas a between- groups design does present some error variance....
Which of the following terms in a one-factor within-subjects analysis of variance is principally associated with error variation? Select one: a. MSmodel b. MSblock c. MSresidual d. MSTotal
Consider a factorial design model with 2 levels of Factor A, 3 levels of Factor B, and 2 observations at each combination of factor levels. Write this model in matrix notation as Y = X8+ €. Compute the matrices X'X and X'Y and use them to derive the least-squares estimators of all appropriate parameters from the normal equations XXB = X'Y Note: Do not write the matrices for a general factorial design model. Consider the particular factorial design described here.
Complete the following ANOVA summary table for a model where there are five levels of factor B selected by the researcher and one covariate C. Each level of the design includes 25 students (α = .05). Type I SS was used In statistical language (symbols) what are the most appropriate null and alternative hypothesis for each factor (effect) for the model? SS DF MS F Critical Value Decision B 10 Within 40 C Total 70
7. Finish the following two-way ANOVA table. There are four levels of Factor A (columns) and two levels of Factor B (rows), with 10 people in each group!!!!! df MS Source col row interaction 12 720 within total a. dfcol b. dfrow c. dfva d. dfw e. dfptal f. MSw g. MSco h. SSool i. MSrow j. SSow k. SSva 1470 I. MSia m. Fia
7. Finish the following two-way ANOVA table. There are four levels of Factor A (columns)...
a.What is a One-Way ANOVA? b. What is the dependent variable? c. What are the factor variables? d. Design levels________ levels Store size ___________levels e. To find out the differences in design, what tool would you use within SPSS? f. When is Tukey appropriate to use? g. What is used for a small number of comparisons? h. What does the ANOVA table exhibit? i. What are linear trends? j. Overall, why is ANOVA needed?
The following two-way table gives data for a 2 × 2 factorial experiment with two
observations
per factor-level combination: The data are saved in the LM.TXT file. Factor B
Level 1 2
Factor A 1 29.6, 35.2 47.3, 42.1
2 12.9, 17.6 28.4, 22.7 a. Identify the treatments for this experiment. Calculate and plot the treatment means, using
the response variable as y-axis and the levels of factor B as the x-axis. Use the levels of
factor A as plotting symbols. Do...