Question
In: Statistics and Probability
a. Tom designed a complete factorial experiment with 2 factors. One factor had 4 levels, the...
a. Tom designed a complete factorial experiment with 2 factors. One factor had 4 levels, the other had 5 levels. For each combination of levels of factors, there were 6 replicates. In the ANOVA table associated with this design, what were the degrees of freedom of the interaction?
a. 7, b. 12, c. 20, d. 24, e. 30.
b. In the above ANOVA table of the complete factorial experiment, suppose we want to test the significance of the main effect of the factor with 4 levels. What is the distribution we use to calculate p-values?
a. F(3, 100), b. F (4, 120), c. F (4, 100), d. F (5, 100), e. F (5, 120).
Solutions
orchestra answered 1 year agoRelated Solutions
The calculations for a factorial experiment involving four levels of factor A, three levels of factor...
The calculations for a factorial experiment involving four
levels of factor A, three levels of factor B, and three
replications resulted in the following data: SST = 272, SSA = 25,
SSB = 24, SSAB = 165.
Set up the ANOVA table and test for significance
using = .05. Show entries to 2 decimals, if necessary.
Round p-value to four decimal places. If your answer is
zero enter "0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor...
The calculations for a factorial experiment involving four
levels of factor A, three levels of factor B, and three
replications resulted in the following data: SST = 350, SSA = 46,
SSB = 43, SSAB = 195. Set up the ANOVA table and test for any
significant main effects and any interaction effect. Use α = .01.
Use both p-Value and Critical-Value approaches.
Please state exactly what to type into Excel for anova, and
thank you for your time and...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor...
The calculations for a factorial experiment involving four
levels of factor A, three levels of factor B, and three
replications resulted in the following data: SST = 275, SSA = 26,
SSB = 22, SSAB = 174. Set up the ANOVA table. (Round your values
for mean squares and F to two decimal places, and your
p-values to three decimal places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F
p-value
Factor A
Factor B
Interaction
Error...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor...
The calculations for a factorial experiment involving four
levels of factor A, three levels of factor B, and three
replications resulted in the following data: SST = 298, SSA = 24,
SSB = 21, SSAB = 195.
Set up the ANOVA table and test for significance
using = .05. Show entries to 2 decimals, if necessary.
Round p-value to four decimal places. If your answer is
zero enter "0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor...
The calculations for a factorial experiment involving four
levels of factor A, three levels of factor B, and three
replications resulted in the following data: SST = 278, SSA = 28,
SSB = 24, SSAB = 174. Set up the ANOVA table. (Round your values
for mean squares and F to two decimal places, and your
p-values to three decimal places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F
p-value
Factor A
Factor B
Interaction
Error...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor...
The calculations for a factorial experiment involving four
levels of factor A, three levels of factor B, and three
replications resulted in the following data: SST = 293, SSA = 22,
SSB = 21, SSAB = 195. Set up the ANOVA table and test for
significance using = .05. Show entries to 2 decimals, if necessary.
If your answer is zero enter "0". Source of Variation Sum of
Squares Degrees of Freedom Mean Square F Factor A Factor B
Interaction...
Below is the data of a factorial experiment consisting of 2 levels of factor A, ie...
Below is the data of a factorial experiment consisting of 2
levels of factor A, ie levels 1 and 2, and 3 levels of factor B, ie
levels 1, 2, and 3.
Factor B
Level
1
Level
2
Level 3
Level
1
135
90
75
Factor
A
165
66
93
Level
2
125
127
120
95
105
136
Create an ANOVA table! And what can you conclude? α = 0.05
(Use manual...
A factorial experiment involving two levels of factor A and three levels of factor B resulted...
A factorial experiment involving two levels of factor A and
three levels of factor B resulted in the following data.
Factor B
Level 1
Level 2
Level 3
Factor A
Level 1
135
89
76
165
65
94
Level 2
125
128
119
95
106
135
Test for any significant main effects and any interaction. Use
α = 0.05.
Find the value of the test statistic for factor A. (Round your
answer to two decimal places.)
Find the p-value for...
A factorial experiment involving two levels of factor A and three levels of factor B resulted...
A factorial experiment involving two levels of factor A and
three levels of factor B resulted in the following data.
Factor B
Level 1
Level 2
Level 3
Factor A
Level 1
135
93
72
165
69
90
Level 2
125
124
123
95
102
139
Test for any significant main effects and any interaction. Use
α = 0.05.
Find the value of the test statistic for factor A. (Round your
answer to two decimal places.)
Find the p-value for...
Consider a 2^5 factorial design. (a)How many factors and levels are considered in this factorial experiment?...
Consider a 2^5 factorial design.
(a)How many factors and levels are considered in this factorial
experiment?
(b)Show all the 32 treatment combinations using a, b, c, d, and
e.
(c)Suppose you are not able to complete all 32 experiments in a
day but you believe 16 experiments can be done in a day. How many
blocks do you need under this situation?
(d)Revisiting part (c), which interaction effect would be
confounded with the blocks? Using the sign method, assign optimal...
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