June 2006
Intermediate to advanced
400 pages
9h 45m
English
Content preview from Statistics for Six Sigma Green Belts with Minitab and JMP
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Choosing the Treatment Combinations
To choose a subset of the treatment combinations, you can begin with the 24 design. Table 8.16 presents the 16 possible treatment combinations for this full factorial design, along with the pattern of pluses and minuses for the main effects (the columns headed by A, B, C, and D) and the ABCD interaction.
| Notation | A | B | C | D | ABCD |
|---|---|---|---|---|---|
| (1) | – | – | – | – | + |
| a | + | – | – | – | – |
| b | – | + | – | – | – |
| ab | + | + | – | – | + |
| c | – | – | + | – | – |
| ac | + | – | + | – | + |
| bc | – | + | + | – | + |
| abc | + | + | + | – | – |
| d | – | – | – | + | – |
| ad | + | – | – | + | + |
| bd | – | + | – | + | + |
| abd | + | + | – | + | – |
| cd | – | – | + | + | + |
| acd | + | – | + | + | – |
| bcd | – | + | + | + | – |
| abcd | + | + | + | + | + |
In a fractional factorial design with four factors in which half the treatment combinations are chosen, only eight treatment combinations are available from the possible 16 combinations. With only eight treatment ...
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