14a. For each of the following, calculate four degrees of freedom (dfA, dfB, dfA × B,...
14a. For each of the following, calculate four degrees of freedom (dfA, dfB, dfA × B, dfWG) and identify the three critical values of the three F-ratios (FA, FB, FA × B) (assume α = .05).
- a = 2, b = 2, NAB = 10
16a. For each of the following, calculate the F-ratios (F) for the two-way ANOVA, create an ANOVA summary table, and calculate measures of effect size (R2).
- SSA = 16.50, dfA = 1, SSB = 9.75, dfB = 1, SSA × B = 31.26, dfA × B = 1, SSWG = 337.82, dfWG = 56
Homework Answers
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14a. For each of the following, calculate four degrees of
freedom (dfA, dfB,
dfA × B,...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three repl...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted the following data: SST 291, SSA 26, SSB 25, SSAB 180. =.05, Show entries to 2 decimals, If necessary Set up the ANOVA table and test for significance using the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value X X Factor A Factor B Interaction 24 Error 35 Total...
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...
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...
INSTRUCTIONS Complete the following problem covering ANOVA (Ch 12 Parish 15 pts, Part B is worth 5 pts, and Part is...
INSTRUCTIONS Complete the following problem covering ANOVA (Ch 12 Parish 15 pts, Part B is worth 5 pts, and Part is worth 5 pts. 1) Ch 12. Problem: The following data summarize the results from an independent measures study comparing three treatment conditions 356 - 12 10 G =0 M3 M4 M-8 T-12 T-16 T -12 55 5512 516 a. Use an ANOVA with a 05 to determine whether there are any significant differences among the three treatment means h...
1 For each of the following pairs of numbers a and b, calculate and find integers...
1 For each of the following pairs of numbers a and b, calculate and find integers r and s such ged (a; b) by Eucledian algorithm that gcd(a; b) = ra + sb. ia= 203, b-91 ii a = 21, b=8 2 Prove that for n 2 1,2+2+2+2* +...+2 -2n+1 -2 3 Prove that Vn 2 1,8" -3 is divisible by 5. 4 Prove that + n(n+1) = nnīYn E N where N is the set of all positive integers....
The following ANOVA model is for a multiple regression model with two independent variables: Degrees of Sum of Mean Source Freedom Squares ...
The following ANOVA model is for a multiple regression model
with two independent variables:
Degrees
of
Sum
of
Mean
Source
Freedom
Squares
Squares
F
Regression
2
60
Error
18
120
Total
20
180
Determine the Regression Mean Square (MSR):
Determine the Mean Square Error (MSE):
Compute the overall Fstat test statistic.
Is the Fstat significant at the 0.05 level?
A linear regression was run on auto sales relative to consumer
income. The Regression Sum of Squares (SSR) was 360 and...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted the following data: SST 291, SSA 26, SSB 25, SSAB 180. =.05, Show entries to 2 decimals, If necessary Set up the ANOVA table and test for significance using the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value X X Factor A Factor B Interaction 24 Error 35 Total...
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...
INSTRUCTIONS Complete the following problem covering ANOVA (Ch 12 Parish 15 pts, Part B is worth 5 pts, and Part is worth 5 pts. 1) Ch 12. Problem: The following data summarize the results from an independent measures study comparing three treatment conditions 356 - 12 10 G =0 M3 M4 M-8 T-12 T-16 T -12 55 5512 516 a. Use an ANOVA with a 05 to determine whether there are any significant differences among the three treatment means h...
1 For each of the following pairs of numbers a and b, calculate and find integers r and s such ged (a; b) by Eucledian algorithm that gcd(a; b) = ra + sb. ia= 203, b-91 ii a = 21, b=8 2 Prove that for n 2 1,2+2+2+2* +...+2 -2n+1 -2 3 Prove that Vn 2 1,8" -3 is divisible by 5. 4 Prove that + n(n+1) = nnīYn E N where N is the set of all positive integers....
The following ANOVA model is for a multiple regression model
with two independent variables:
Degrees
of
Sum
of
Mean
Source
Freedom
Squares
Squares
F
Regression
2
60
Error
18
120
Total
20
180
Determine the Regression Mean Square (MSR):
Determine the Mean Square Error (MSE):
Compute the overall Fstat test statistic.
Is the Fstat significant at the 0.05 level?
A linear regression was run on auto sales relative to consumer
income. The Regression Sum of Squares (SSR) was 360 and...
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