Question

In: Statistics and Probability

2x2 between subject a1b1 4,5,5,6,8 a1b2 6,5,6,7,8 a2b1 15,13,13,12,14 a2b2 2,0,3,1,2 Indicate the results of each...

2x2 between subject a1b1 4,5,5,6,8 a1b2 6,5,6,7,8 a2b1 15,13,13,12,14 a2b2 2,0,3,1,2

Indicate the results of each of the F-tests (significant or not significant) and how it was that you decided (e.g., what comparison did you make to decide).

Solutions

Expert Solution

data

a1 a2
b1 4 15
5 13
5 13
6 12
8 14
b2 6 2
5 0
6 3
7 1
8 2

using excel

data -> data analysis -> anova two way with replication

Anova: Two-Factor With Replication
SUMMARY a1 a2 Total
b1
Count 5 5 10
Sum 28 67 95
Average 5.6 13.4 9.5
Variance 2.3 1.3 18.5
b2
Count 5 5 10
Sum 32 8 40
Average 6.4 1.6 4
Variance 1.3 1.3 7.555556
Total
Count 10 10
Sum 60 75
Average 6 7.5
Variance 1.777777778 39.83333333
ANOVA
Source of Variation SS df MS F P-value F crit

B

151.25 1 151.25 97.58065 3.26E-08 4.493998
A 11.25 1 11.25 7.258065 0.015964 4.493998
Interaction 198.45 1 198.45 128.0323 4.8E-09 4.493998
Within 24.8 16 1.55
Total 385.75 19

F > F-critical values in all three factors (A, B and interaction )

hence all factors are significant


Related Solutions

Exercise Minimize            Z = X1 - 2X2 Subject to            X1 - 2X2 ≥ 4            &
Exercise Minimize            Z = X1 - 2X2 Subject to            X1 - 2X2 ≥ 4                             X1 + X2 ≤ 8                            X1, X2 ≥ 0
1. Indicate below whether each activity would be nontaxable or taxable (subject to UBTI) for a...
1. Indicate below whether each activity would be nontaxable or taxable (subject to UBTI) for a tax exempt investor: "U" = subject to UBTI "N" = nontaxable _____ Single family home real estate development and sale _____ Operating income from a nursing home _____ Condominium sales in the ordinary course of a business _____ Capital gain distributions from a REIT _____ Interest income on a loan from a wholly owned US corporation _____ Dividends from a corporation where the investment...
24. Maximize    π = 36x1 + 28x2 + 32 x3 Subject to 2x1 + 2x2 +...
24. Maximize    π = 36x1 + 28x2 + 32 x3 Subject to 2x1 + 2x2 + 8x3≤ 3 3x1 + 2x2 + 2x3≤ 4       x1, x2, x3≥ 0 25. Write down the economic interpretations of the dual of the problem (24).
MAXIMIZATION BY THE SIMPLEX METHOD Maximize z = x1 + 2x2 + x3 subject to x1...
MAXIMIZATION BY THE SIMPLEX METHOD Maximize z = x1 + 2x2 + x3 subject to x1 + x2 ≤ 3 x2 + x3 ≤ 4 x1 + x3 ≤ 5 x1, x2, x3 ≥0
Max Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2     ≤ 8 2x2...
Max Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2     ≤ 8 2x2 + 5x3     ≤ 12 3x1 + x2 + 4x3         ≤15 and x1,x2,x3≥0; Indicate clearly the optimal basic and nonbasic variables and their values and write the reduced cost of each optimal nonbasic variable.
Consider the following linear program:   maximize z = x1 + 4x2 subject to: x1 + 2x2...
Consider the following linear program:   maximize z = x1 + 4x2 subject to: x1 + 2x2 <= 13 x1 - x2 <= 8 - x1 + x2 <= 2 -3 <= x1 <= 8 -5 <= x2 <= 4 Starting with x1 and x2 nonbasic at their lower bounds, perform ONE iteration of the Bounded Variables Revised Simplex Method. (Tableau or matrix form is acceptable). Show your work. Clearly identify the entering and leaving variables. After the pivot, identify the...
Exercise Solve the following linear programs graphically. Maximize            Z = X1 + 2X2 Subject to            2X1...
Exercise Solve the following linear programs graphically. Maximize            Z = X1 + 2X2 Subject to            2X1 + X2 ≥ 12                             X1 + X2 ≥ 5                            -X1 + 3X2 ≤ 3                            6X1 – X2 ≥ 12                            X1, X2 ≥ 0
Find the set of ALL optimal solutions to the following LP: min z= 3x1−2x2 subject to...
Find the set of ALL optimal solutions to the following LP: min z= 3x1−2x2 subject to 3x1+x2≤12 3x1−2x2−x3= 12 x1≥2 x1, x2, x3≥0
Consider the following model: maximize 40x1 +50x2 subject to: x1 +2x2 ≤ 40 4x1 +3x2 ≤...
Consider the following model: maximize 40x1 +50x2 subject to: x1 +2x2 ≤ 40 4x1 +3x2 ≤ 120 x1, x2 ≥ 0 The optimal solution, determined by the two binding constraints, is x1 = 24, x2 = 8, OFV∗ = 1,360. Now consider a more general objective function, c1x1 + c2x2. Perform a sensitivity analysis to determine when the current solution remains optimal in the following cases: (i) both c1 and c2 may vary; (ii) c2 = 50, c1 may vary;...
1. [25 marks] Consider the following model: maximize 40x1 +50x2 subject to: x1 +2x2 ≤ 40...
1. [25 marks] Consider the following model: maximize 40x1 +50x2 subject to: x1 +2x2 ≤ 40 4x1 +3x2 ≤ 120 x1, x2 ≥ 0 The optimal solution, determined by the two binding constraints, is x1 = 24, x2 = 8, OFV∗ = 1,360. Now consider a more general objective function, c1x1 + c2x2. Perform a sensitivity analysis to determine when the current solution remains optimal in the following cases: (i) both c1 and c2 may vary; (ii) c2 = 50,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT