Degrees of Freedom Mean Square (Variance) Consider a two-way ANOVA with three levels for factor A, three levels for factor B, and four replicates in each of the 9 cells, with SSA = 90, SsSB = 90, SSE = 135, and SST = 475. Complete parts (a) through (c). Source A B Sum of Squares F 90 45 6. 90 45 9. AB 160 40 8 Error Total 27 135 35 475 a. At the 0.05 level of significance, is there an effect due to factor A? Determine the hypotheses. Choose the correct answer below. O A. Ho: There is an effect due to factor A. H: There is no effect due to factor A. VB. Ho: There is no effect due factor A
Degrees of Freedom Mean Square (Variance) Consider a two-way ANOVA with three levels for factor A, three levels for factor B, and four replicates in each of the 9 cells, with SSA = 90, SsSB = 90, SSE = 135, and SST = 475. Complete parts (a) through (c). Source A B Sum of Squares F 90 45 6. 90 45 9. AB 160 40 8 Error Total 27 135 35 475 a. At the 0.05 level of significance, is there an effect due to factor A? Determine the hypotheses. Choose the correct answer below. O A. Ho: There is an effect due to factor A. H: There is no effect due to factor A. VB. Ho: There is no effect due factor A
MATLAB: An Introduction with Applications
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| Consider a two-way ANOVA with three levels for factor A,
three levels for factor B, and four replicates in each of the 9 cells, with
SSA=90, SSB=90, SSE=135, and SST=475.
Complete parts (a) through (c). |
A) What is the P-Value?
B) At the 0.05 level of significance, is there an effect due to factor A? State the result of this test.
Transcribed Image Text:ITT |
Consider a two-way ANOVA with three levels for factor A, three levels for factor B, and four replicates in
each of the 9 cells, with SSA = 90, SSB = 90, SSE = 135, and SST = 475. Complete parts (a) through (c). Source
Degrees
of Freedom
Mean Square
(Variance)
Sum of Squares
F
A
90
45
9.
90
45
9.
AB
4
160
40
8
Error
27
135
Total
35
475
a. At the 0.05 level of significance, is there an effect due to factor A?
Determine the hypotheses. Choose the correct answer below.
O A. Hn: There is an effect due to factor A.
H: There is no effect due to factor A.
Ho: There is no effect due to factor A.
H: There is an effect due to factor A
Expert Solution
Step 1
Given information:
A two-way ANOVA with three levels of factor A, three levels for factor B, and four replicates in each of the 9 cells is considered.
The two-way ANOVA table is provided as:
| Source | Degrees of freedom | Sum of squares | Mean square (Variance) | F-ratio |
| A | 2 | 90 | 45 | 9 |
| B | 2 | 90 | 45 | 9 |
| AB | 4 | 160 | 40 | 8 |
| Error | 27 | 135 | 5 | |
| Total | 35 | 475 |
It is required to:
A) obtain the P-value
B) to determine at 0.05 level of significance whether there is an effect due to factor A or not. Also, state the result.
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