FieldsSport, exercise and recreation
Experiments here usually have about 3 factors and 9 runs. Most are full factorials.
- Full factorial
- Fractional factorial or screening
Show the numbers
| Kind of design | Experiments | Factors | Runs |
|---|---|---|---|
| Full factorial | 15 | 3 | 9 |
| Fractional factorial or screening | 4 | 6.5 | 12 |
Factors and runs are the medians of each kind.
Full factorial
Every combination of the factor levels.
- A golfer's drive: tee height T, holes played H, club C and time of day D, sixteen runsDunn (2015) · 4 factors, 16 runs
- A long jumper: running distance R, shoes S and jumping foot FDunn (2015) · 3 factors, 8 runs
- Geoffrey's climb up the mountain: bicycle type A and cycling position BDunn (2015) · 2 factors, 4 runs
- Geoffrey's climb up the mountain: bicycle type A, cycling position B and extra weight CDunn (2015) · 3 factors, 8 runs
- Jason's 1 km run: warm up A and water B, a 2^2 factorial with a centre point, and two steps toward the optimumDunn (2015) · 2 factors, 7 runs
Show the rest
- Jason's 1 km run: warm up A, water B and time of day C; the half fractions C = AB and C = -ABDunn (2015) · 3 factors, 8 runs
- Priya's 5 km run: stretching A, warm up B and water C, and a ninth run at the centreDunn (2015) · 3 factors, 9 runs
- Distance from the cup of putts: length, type of putter, break and slope, a 2^4 run seven times (Table P6.4) (Problem 6.21)Montgomery (2013) · 4 factors, 16 runs
- Golf scores with old and new clubs on three courses, three rounds each (Problem 5.27)Montgomery (2013) · 2 factors, 18 runs
- Golf scores: type of driver by type of ball, a 2^2 factorial with two rounds at each combinationMontgomery (2013) · 2 factors, 4 runs
- Four spring toys, two inclines and a child or adult operator: an unreplicated 4 x 2 x 2 general factorialAnderson and Whitcomb (2007) · 3 factors, 16 runs
- Tabletop hockey: puck weight, stick length, wind-up and puck place in a 2^4, the distance analysed in logsAnderson and Whitcomb (2007) · 4 factors, 16 runs
- Time for three spring toys to walk down a plank at two inclines: a 3 x 2 general factorial, replicatedAnderson and Whitcomb (2007) · 2 factors, 12 runs
- Time to ride a bicycle up a hill: seat height, generator and tire pressure, each setup run twice (a student's experiment)Box, Hunter and Hunter (1978) · 3 factors, 16 runs
- Philip's bike ride: bike type A, position B and drink C, in a random order; the four rows of a half fractionDunn (2015) · 3 factors, 8 runs
Fractional factorial or screening
A planned part of the combinations, to find the factors that matter.
- Hiro's 400 m individual medley: six training factors in eight runs, D = AB, E = AC, F = BCDunn (2015) · 6 factors, 8 runs
- Lap times on experimental in-line skates: a 2^(7-4) and its complete fold-over (Problems 6-1 and 6-2)Anderson and Whitcomb (2007) · 7 factors, 16 runs
- Time to cycle up a hill against seven variables: two 2^(7-4) fractions of eight runs each (hypothetical data)Box, Hunter and Hunter (1978) · 7 factors, 16 runs
- One-half fraction of the four-factor golf experiment: driver, ball, beverage and mode of travel in 8 runsMontgomery (2013) · 4 factors, 8 runs