Question
In: Statistics and Probability
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 treatment combinations to each block.
(e)Revisiting part (c), now assign optimal treatment combinations to each block by using the defining contrast method. Note that the optimal treatment combinations you have found in parts (d) and (e) should be the same.
I only need part E. I have the answers for a-d.
Thank you
Solutions
orchestra answered 1 year agoRelated Solutions
Question 3: Consider a 25 factorial design. (a) How many factors and levels are considered in...
Question 3: Consider a 25 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?...
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...
you have a full factorial design with two levels for three factors. every trial had 2...
you have a full factorial design with two levels for
three factors. every trial had 2 runs. the difference in response
values for every trial were [2,5,4,3,2,3,4,5]. calculate standard
error for the effects.
how to do this? I tried lots of times.
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 between-subjects factorial design has two levels of factor A and 2 levels of Factor B....
A between-subjects factorial design has two levels of factor A
and 2 levels of Factor B. Each cell of the design contains n=8
participants. The sums of squares are shown in the table. The alpha
level for the experiment is 0.05. Use the provided information and
partially completed table to provide the requested values.
Source
SS
df
MS
F
p
n2p
Fcrit
A
12
B
3
AxB
21
Within
84
Total
120
Specifically looking for the df total and 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 = 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...
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