FieldsEnvironment, water and waste
Experiments here usually have about 3 factors and 9 runs. Most are full factorials.
- Full factorial
- Fractional factorial or screening
- Other designs
Show the numbers
| Kind of design | Experiments | Factors | Runs |
|---|---|---|---|
| Full factorial | 9 | 3 | 8 |
| Fractional factorial or screening | 4 | 6 | 9 |
| Other designs | 2 | 2 | 11 |
Factors and runs are the medians of each kind.
Full factorial
Every combination of the factor levels.
- Pollutant discharged: chemical C, temperature T and stirring speed SDunn (2026) · 3 factors, 8 runs
- A city's electronics recycling: opening hours H and depot sites S, from 2 to 4 sites, with a centre pointDunn (2015) · 2 factors, 5 runs
- A city's electronics recycling: opening hours H and depot sites S, from 2 to 6 sitesDunn (2015) · 2 factors, 4 runs
- Lead removed by fishbone apatite and by hydroxyapatite: amount of apatite, initial pH and lead concentration, a 2^3 run twice (Table P6.14) (Problem 6.42)Montgomery (2013) · 3 factors, 16 runs
- Algal growth against phosphorus, nitrogen and carbon, after 4, 6, 8 and 10 days (Problem 19 of Part III)Box, Hunter and Hunter (1978) · 3 factors, 8 runs
Show the rest
- Coliform contributions of bathers: time since last bath, vigor and sex (Problem 6 of Part III)Box, Hunter and Hunter (1978) · 3 factors, 16 runs
- Pollutant in a waste stream against chemical brand, temperature and stirring, with three centre runs (Problem 20 of Part III)Box, Hunter and Hunter (1978) · 3 factors, 11 runs
- Screening storm water overflows, phase (a): collar and horizontal screen mesh and flow rate against solids removedBox, Hunter and Hunter (1978) · 3 factors, 8 runs
- Carbon monoxide emission against ethanol and air/fuel ratio in a 3^2 run twice (Hunter 1989) (Problem 12.10)Montgomery (2013) · 2 factors, 9 runs
Fractional factorial or screening
A planned part of the combinations, to find the factors that matter.
- Water quality: four factors on columns 1 to 4 of the 12-run Plackett and Burman design (Exercise 5.31)Box and Draper (2007) · 11 factors, 12 runs
- BOD removed by a simulated activated sludge system: five parameters in a quarter fractionSchmidt and Launsby (2000) · 5 factors, 8 runs
- Soil treatment screening: six factors plus soil heap in nine runsDunn (2026) · 7 factors, 9 runs
- Carbon monoxide emission as if run in a 3^(4−2) fraction in four factors, the data of part (a) unchanged (Problem 12.10(b))Montgomery (2013) · 4 factors, 9 runs
Other designs
Optimal, blocked, split-plot and other designs made for the problem.