Statistics
Ya32
Assignment3.xlsmProblem 1
| Problem 1: | 25 points |
| Write down a 16-run design for 10 factors. | |
| a) give the notation of the design. | |
| b) how might you decide which 10 columns to use for a balanced design? |
Problem 2
| Problem 2: | 25 points |
| Define a definitive screening design | |
| a) what is a DSD? | |
| b) how many levels are usually in a DSD? | |
| c) Is a DSD better for a small number of factors (less than 5)? | |
| d) what is the notation for a DSD of 10 factors? |
Problem 3
| problem 3: | 50 pts | ||||||||
| standard order | run order | A | B | y | |||||
| 1 | 15 | -1 | -1 | 90 | |||||
| 2 | 10 | 1 | -1 | 35 | |||||
| 3 | 14 | -1 | 1 | 85 | |||||
| 4 | 7 | 1 | 1 | 80 | |||||
| a) provide a run order chart | 5 | 11 | -1 | -1 | 40 | ||||
| b) any trends in the chart? | 6 | 6 | 1 | -1 | 78 | ||||
| c) dotplot | 7 | 18 | -1 | 1 | 90 | ||||
| d) effects | 8 | 5 | 1 | 1 | 80 | ||||
| e) normal plot of effects | 9 | 9 | -1 | -1 | 30 | ||||
| f) prediction equation | 10 | 3 | 1 | -1 | 53 | ||||
| g) ANOVA table | 11 | 19 | -1 | 1 | 87 | ||||
| h) any significant factors or interactions? | 12 | 8 | 1 | 1 | 85 | ||||
| i) recommendations | 13 | 13 | -1 | -1 | 87 | ||||
| 14 | 1 | 1 | -1 | 48 | |||||
| 15 | 17 | -1 | 1 | 83 | |||||
| 16 | 4 | 1 | 1 | 50 | |||||
