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

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related 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...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT