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 inclu...
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 |
Homework Answers
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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 inclu...
Complete the following ANOVA summary table for a model where there are five levels of factor...
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
A sociologist classified 45 faculty members by subject matter of course (factor A with 4 levels) and highest degree earned (factor B with 3 levels) The first ANOVA table below is from a model includi...
A sociologist classified 45 faculty members by subject matter of course (factor A with 4 levels) and highest degree earned (factor B with 3 levels) The first ANOVA table below is from a model including A and B main effects and AB interaction effects. The second one is from a model including B main effects and AB interaction effects but no A main effects Sequential sum of squares ANOVA table with A, B and AB terms. Analysis of Variance Source...
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A two-factor ANOVA was perofrmed with a-2, b-2, and r-3. The following are the data Male Female Less than bachelor's degree 15 10 6 12 10 At least one bachelor's degree 10 (a) Complete the ANOVA table F-statistics F-MS(A)/MSE F-MS(B)/MSE Variation df Mean squares SS(A) SS(B) (a-1) (b-1) SS(AB) SSE MS(A) MS(B) Factor A (Gender) a Factor B (Education)a-1 Interaction MS(AB) F-MS(AB)/MSE rror l-a MSE Total n- SS(Total) (b) Write down Ho and H and determine whether there are differences...
Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A...
Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A and two levels of Factor B. The number of replications per cell is 4. Use the 0.01 significance level. (Hint: Estimate the values from the Ftable.) a. Complete an ANOVA table. (Round MS and Fto 2 decimal places.) ANOVA SS df MS F Source Factor A 70 3 1.40 Factor B 50 11 23.33 50.00 70.00 3.00 Interaction 210 3 4.20 Error 24 16.67...
The following table shows the results of a two-factor ANOVA evaluating an independent-measures experiment with three...
The following table shows the results of a two-factor ANOVA evaluating an independent-measures experiment with three levels of factor A, three levels of factor B, and n = 10 participants in each treatment condition. a. What is the calculated F value for the interaction? Source SS df MS Between Treatments 124 Factor A 20 10 F A= Factor B 42 F B= A*B 20 F A*B=? Within Treatments 324 Total 1. F=13 2. F=5 3. F=2.5 4. F =...
1. The following ANOVA summary table was obtained for a comparison of six teachers. Of interest...
1. The following ANOVA summary table was obtained for a comparison of six teachers. Of interest is whether students of those teachers display different mean levels of performance on a standardized language test. Class size is about 20 to 22 students per teacher, for a total number of 126 students included in the analysis. a. Complete the missing calculations in the table below. (0.5 points each; 3 points total) Sum of Squares df Mean Square F Between Groups 600.00 _____?...
1. Fill out the following ANOVA table for the two-way ANOVA model. This table comes from a data set with 4 levels for fa...
1. Fill out the following ANOVA table for the two-way ANOVA model. This table comes from a data set with 4 levels for factor A, 3 levels for factor B, and 14 values in each group. (Round your answer for F to two decimal places, your answers for SS and MS to one decimal place, and the p-value to three decimal places. Do not round any numbers until the final input into the answer box.) Analysis of Variance Source DF...
The following results are from an independent-measures, two-factor study with n = 5 participants in each...
The following results are from an independent-measures, two-factor study with n = 5 participants in each treatment condition Factor A: Factor B: 3 M=5 M=8 M=14 T=25 T=40 T=70 SS 30 SS 38 SS46 n=5 n=5 n=5 2 T= 15 T-20 T=40 SS 22 SS 26 SS 30 ZX2 = 2,062 Use a two-factor ANOVA with α = .05 to evaluate the main effects and interaction. Source df MS Between treatments A x B Within treatments Total F Distribution Numerator...
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The following results are from an independent-measures, two-factor study with n condition. 10 participants in each treatment Factor B Factor A 2 T 40 M=4.00 SS = 50 T=50 M = 5.00 SS = 60 T= 10 M 1.00 SS 30 T=20 M 2.00 SS 40 N = 40; G = 120; Σ? = 640 Use a two-factor ANOVA with α =。05 to evaluate the main effects and the interaction Source df MS Between treatments AxB Within treatments Total For...
A sociologist classified 45 faculty members by subject matter of course (factor A with 4 levels) and highest degree earned (factor B with 3 levels) The first ANOVA table below is from a model including A and B main effects and AB interaction effects. The second one is from a model including B main effects and AB interaction effects but no A main effects Sequential sum of squares ANOVA table with A, B and AB terms. Analysis of Variance Source...
A two-factor ANOVA was perofrmed with a-2, b-2, and r-3. The following are the data Male Female Less than bachelor's degree 15 10 6 12 10 At least one bachelor's degree 10 (a) Complete the ANOVA table F-statistics F-MS(A)/MSE F-MS(B)/MSE Variation df Mean squares SS(A) SS(B) (a-1) (b-1) SS(AB) SSE MS(A) MS(B) Factor A (Gender) a Factor B (Education)a-1 Interaction MS(AB) F-MS(AB)/MSE rror l-a MSE Total n- SS(Total) (b) Write down Ho and H and determine whether there are differences...
Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A and two levels of Factor B. The number of replications per cell is 4. Use the 0.01 significance level. (Hint: Estimate the values from the Ftable.) a. Complete an ANOVA table. (Round MS and Fto 2 decimal places.) ANOVA SS df MS F Source Factor A 70 3 1.40 Factor B 50 11 23.33 50.00 70.00 3.00 Interaction 210 3 4.20 Error 24 16.67...
The following results are from an independent-measures, two-factor study with n = 5 participants in each treatment condition Factor A: Factor B: 3 M=5 M=8 M=14 T=25 T=40 T=70 SS 30 SS 38 SS46 n=5 n=5 n=5 2 T= 15 T-20 T=40 SS 22 SS 26 SS 30 ZX2 = 2,062 Use a two-factor ANOVA with α = .05 to evaluate the main effects and interaction. Source df MS Between treatments A x B Within treatments Total F Distribution Numerator...
The following results are from an independent-measures, two-factor study with n condition. 10 participants in each treatment Factor B Factor A 2 T 40 M=4.00 SS = 50 T=50 M = 5.00 SS = 60 T= 10 M 1.00 SS 30 T=20 M 2.00 SS 40 N = 40; G = 120; Σ? = 640 Use a two-factor ANOVA with α =。05 to evaluate the main effects and the interaction Source df MS Between treatments AxB Within treatments Total For...
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