FieldsBiomedical research and medicine
Experiments here usually have about 3 factors and 20 runs. Most are full factorials.
- Full factorial
- Fractional factorial or screening
- Central composite or Box-Behnken
- Mixture
Show the numbers
| Kind of design | Experiments | Factors | Runs |
|---|---|---|---|
| Full factorial | 5 | 3 | 8 |
| Fractional factorial or screening | 2 | 8 | 53 |
| Central composite or Box-Behnken | 1 | 3 | 20 |
| Mixture | 1 | 4 | 60 |
Factors and runs are the medians of each kind.
Full factorial
Every combination of the factor levels.
- The hospital's flu study: hand-washing demonstration H, information I and sanitizer SDunn (2015) · 3 factors, 8 runs
- Enzyme level in the heart muscle of beagle dogs: three brands of lidocaine, three dosage strengths and three dogs, a 3^3 run twice (Problem 9.4)Montgomery (2013) · 3 factors, 54 runs
- Growth of a virus: culture medium by time, a 2^2 run six times (Problem 6.8)Montgomery (2013) · 2 factors, 4 runs
- Spermatozoa surviving, of 50 tested, against sodium citrate, glycerol and equilibrium time in a 2^3 (Myers, Montgomery, Vining and Robinson 2010) (Problem 15.10)Montgomery (2013) · 3 factors, 8 runs
- Survival times of animals given three poisons and four treatments, four animals to each combination (Box and Cox 1964)Box, Hunter and Hunter (1978) · 2 factors, 48 runs
Fractional factorial or screening
A planned part of the combinations, to find the factors that matter.
- Growth of mice: eight factors screened in a replicated 2_IV^(8-4) in eight blocks of two with centre runs, 94 mice surviving (Exercise 5.33)Box and Draper (2007) · 9 factors, 94 runs
- Project 1: a 2^(7-2) screening design of seven intervention components (12 of its 32 runs printed)Nair (2004) · 7 factors, 12 runs
Central composite or Box-Behnken
Extra runs that fit curvature, to find an optimum.
Mixture
The ingredients add up to the whole.