Homework Answers
For an independent-measures two-factor experiment, the bigger the differences between the sample means, the more likely it is that at least one of the F-ratios will be significant.
Answer- True
If the i interaction in a Two way ANOVA is significant, then at least one of the two main effects must also be significant.
Answer-False.
If the F-ratios for factor A has df = 2,24 then the F-ratio for factor B will also have df = 2,24
Answer-False.
explanantion: If the F-ratios for factor A has df = 1, 24 and the F-ratio for the interaction has df = 2, 24, then the F-ratio for factor B will also have df = 2, 24.
the bigger a treatment effect is, the larger the effect size will be.
Answer- True.
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1. True or False? T F For a two-factor experiment, the bigger the differences between the...
In a two-factor ANOVA, a significant interaction means that at least one of the main effects...
In a two-factor ANOVA, a significant interaction means that at least one of the main effects is also significant. True or False?
The following results are from an independent-measures, two-factor study with n condition. 10 participants in each...
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...
Aa Aa 11. Two-factor ANOVA Emphasis on calculations W.Thomas Boyce, a professor and pediatrician at the University of British Columbia, Vancouver, has studied interactions between individual differen...
Aa Aa 11. Two-factor ANOVA Emphasis on calculations W.Thomas Boyce, a professor and pediatrician at the University of British Columbia, Vancouver, has studied interactions between individual differences in physiology and differences in experience in determining health and well-being. Dr. Boyce found that some children are more sensitive to their environments. They do exceptionally wel when the environment is suppo「tive but are much more likely to have mental and physical health problems when the environment has challenges. You decide to do...
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...
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...
please show work for each! ΑΙ Factor B B. B2 T = 40 T = 10...
please show work for each!
ΑΙ Factor B B. B2 T = 40 T = 10 M=4 M= 1 SS-50 SS = 30 Factor A A2 T-50 M=5 SS - 60 T = 20 M = 2 SS = 40 N-40 G = 120 EX =640 Use a two-way ANOVA with a=0.05 to evaluate the main effects and the interaction. m Source SS df MS F Between treatments | 1 6.67 I 2.00 Factor A (ROWS) 18.00 Factor B (COLUMNS)...
ANOVA Source of Variation SS df MS F p-value Factor A 35,166.79 3 11,722.26 Factor...
ANOVA Source of Variation SS df MS F p-value Factor A 35,166.79 3 11,722.26 Factor B 22,297.66 2 11,148.83 Interaction 206,903.76 6 34,483.96 Error 125,290.42 36 3,480.29 Total 389,658.63 47 (a) What kind of ANOVA is this? One-factor ANOVA Two-factor ANOVA with replication Two-factor ANOVA without replication (b) Calculate each F test statistic and the p-value for each F test using Excel's function =F.DIST.RT(F,DF1,DF2). (Round your Fcalc values to 3 decimal places and p-values to...
ANOVA Source of Variation SS df MS F p-value Factor A 30,865.45 3 10,288.48 Factor B...
ANOVA Source of Variation SS df MS F p-value Factor A 30,865.45 3 10,288.48 Factor B 22,557.30 2 11,278.65 Interaction 119,155.58 6 19,859.26 Error 90,553.57 36 2,515.38 Total 263,131.90 47 (a) What kind of ANOVA is this? One-factor ANOVA Two-factor ANOVA with replication Two-factor ANOVA without replication (b) Calculate each F test statistic and the p-value for each F test using Excel's function =F.DIST.RT(F,DF1,DF2). (Round your Fcalcvalues to 3 decimal places and p-values to 4 decimal places.) Source of Variation...
An interaction effect means that the combination of factors creates a different result. True False "A...
An interaction effect means that the combination of factors creates a different result. True False "A researcher conducts an experiment comparing four treatment conditions with n=12 scores in each condition. If the researcher uses a repeated-measures design, how many individuals are needed for the study?" a 12 b 24 c 36 d 48 "You have to find the F-critical for each effect when running a two-factor, independent measures, ANOVA. " True False "After you remove the individual differences in a...
A partial result of the computation for a two-factor factorial experiment is given as follows (assume...
A partial result of the computation for a two-factor factorial experiment is given as follows (assume that the number of experimental units in each group is fixed): Source of Variation SS df MS F Factor A 48 4 12 1 Factor B 6 5 Interaction (AB) 24 15 Error 105 - Total 139 - - A) Fill in all the missing results in the ANOVA table. B) At the 0.05 level of significance, is there an interaction effect? (Show your...
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...
Aa Aa 11. Two-factor ANOVA Emphasis on calculations W.Thomas Boyce, a professor and pediatrician at the University of British Columbia, Vancouver, has studied interactions between individual differences in physiology and differences in experience in determining health and well-being. Dr. Boyce found that some children are more sensitive to their environments. They do exceptionally wel when the environment is suppo「tive but are much more likely to have mental and physical health problems when the environment has challenges. You decide to do...
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...
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...
please show work for each!
ΑΙ Factor B B. B2 T = 40 T = 10 M=4 M= 1 SS-50 SS = 30 Factor A A2 T-50 M=5 SS - 60 T = 20 M = 2 SS = 40 N-40 G = 120 EX =640 Use a two-way ANOVA with a=0.05 to evaluate the main effects and the interaction. m Source SS df MS F Between treatments | 1 6.67 I 2.00 Factor A (ROWS) 18.00 Factor B (COLUMNS)...
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