FieldsBusiness, marketing and finance
Experiments here usually have about 3 factors and 8 runs. Full factorials and fractional factorials are the most common.
- Full factorial
- Fractional factorial or screening
- Other designs
Show the numbers
| Kind of design | Experiments | Factors | Runs |
|---|---|---|---|
| Full factorial | 8 | 3 | 8 |
| Fractional factorial or screening | 8 | 4.5 | 8 |
| Other designs | 1 | 1 | 12 |
Factors and runs are the medians of each kind.
Full factorial
Every combination of the factor levels.
- Web sales: free-shipping threshold and a required profile, run on eight TuesdaysDunn (2026) · 2 factors, 8 runs
- A grocery store's hourly profit: cashiers always open C and grocery carts GDunn (2015) · 2 factors, 4 runs
- A trading platform's monthly profit: commission A and brokers B, a 2^2 factorial with a centre point, and the sixth runDunn (2015) · 2 factors, 5 runs
- Coupons redeemed of 1000 mailed in each cell of a 2^3 in coupon value, time valid and ease of use: logistic regressionMontgomery (2013) · 3 factors, 8 runs
- Orders from a direct mailing: class of mail, type of brochure and price, a 2^3 in two groups of customers (Table P6.6) (Problem 6.24)Montgomery (2013) · 3 factors, 8 runs
Show the rest
- Response rate to credit card offers: annual fee, account-opening fee, initial and long-term interest rate, a single replicate of a 2^4 mailed to 7500 customers a runMontgomery (2013) · 4 factors, 16 runs
- Time to stock ten 12-bottle cases: three bottle types, three shelf types and three workers, a 3^3 run twice (Problem 9.3)Montgomery (2013) · 3 factors, 54 runs
- Requests from a direct-mail postcard: colour, size and paper thickness in a 2^3, a count to transform (Problem 4-1)Anderson and Whitcomb (2007) · 3 factors, 8 runs
Fractional factorial or screening
A planned part of the combinations, to find the factors that matter.
- A hospital's microblogging: posts per day N, ratio of original content R and tone T, the half fraction T = NRDunn (2015) · 3 factors, 5 runs
- Jordan's amusement park: rides open R, food advertising F and staff per ride P, with P = RFDunn (2015) · 3 factors, 4 runs
- Response rate of a direct mail credit card offer: 19 factors of the envelope, letter and offer in a 20-run Plackett-Burman design (Problem 8.38)Montgomery (2013) · 19 factors, 20 runs
- Total cost of a simulated two-item inventory system against each item's order quantity and reorder point (Problem 11.2)Montgomery (2013) · 4 factors, 11 runs
- Business at Ozzie's Bar and Grill: both fractions, with the second fraction's calculation matrix from the answer, analysed apart and together (Exercise 5.19)Box and Draper (2007) · 6 factors, 16 runs
Show the rest
- Business at Ozzie's Bar and Grill: six factors in a 2_III^(6-3) fraction, I = 124 = -135 = 236 (Exercise 5.19, Table E5.19)Box and Draper (2007) · 6 factors, 8 runs
- Business at Ozzie's Bar and Grill: the second fraction, chosen to estimate Miss Freeny's effect and her interactions (Exercise 5.19)Box and Draper (2007) · 3 factors, 8 runs
- Sales ratings of a dairy company's delivery rounds against five yes-or-no factors in eight runs (Exercise 5.26, Table E5.26)Box and Draper (2007) · 5 factors, 8 runs
Other designs
Optimal, blocked, split-plot and other designs made for the problem.