FieldsTextiles, apparel and footwear
Experiments here usually have about 3 factors and 22 runs. Most are full factorials.
- Full factorial
- Mixture
- Other designs
Show the numbers
| Kind of design | Experiments | Factors | Runs |
|---|---|---|---|
| Full factorial | 13 | 3 | 24 |
| Mixture | 2 | 3 | 10.5 |
| Other designs | 9 | 3 | 28 |
Factors and runs are the medians of each kind.
Full factorial
Every combination of the factor levels.
- Breaking strength of a synthetic fiber by three operators on four machines, run twice (Problem 5.8)Montgomery (2013) · 2 factors, 24 runs
- Cycles to failure of worsted yarn in a 3^3 in length, amplitude and load: least squares on ln(y) against a gamma generalized linear modelMontgomery (2013) · 3 factors, 27 runs
- Dyeing scores of cotton-synthetic cloth by three operators, three cycle times and two temperatures, three specimens each (Problem 5.19)Montgomery (2013) · 3 factors, 54 runs
- A 3² factorial in x1 and x2 with a log response: first-, second- and third-order models, Tukey's test and confidence limits (Exercises 7.1 to 7.6)Box and Draper (2007) · 2 factors, 9 runs
- Consumption of detergent in scouring raw wool against the temperatures of the first two bowls, a 4 × 4 factorial (Exercise 11.1)Box and Draper (2007) · 2 factors, 16 runs
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- Cycles to failure of worsted yarn (3^3, Barella and Sust): estimation adequacy, the log metric and a Box-Cox powerBox and Draper (2007) · 3 factors, 27 runs
- Cycles to failure of worsted yarn, a portion of Barella and Sust's data: a first-order model in three coded factorsBox and Draper (2007) · 3 factors, 8 runs
- Cycles to failure of worsted yarn: length, amplitude and load in a 3^3 factorial, fitted by first-, second- and third-degree polynomials to Y and to log YBox and Draper (2007) · 3 factors, 27 runs
- Dyestuff manufacture: strength, hue and brightness against six process variables, a 2^6 factorialBox and Draper (2007) · 6 factors, 64 runs
- Dyestuff manufacture: the 64 observations grouped in sets of eight by polysulfide index, time and temperatureBox and Draper (2007) · 3 factors, 8 runs
- Exercise 8.3: the textile data fitted to log Y on log load and log fractional amplitude, testing the exponents -3 and -5Box and Draper (2007) · 3 factors, 27 runs
- Textile specimens: cycles to failure against length, amplitude of load cycle and load, a 2^3 analysed in log10Box and Draper (2007) · 3 factors, 8 runs
- Worsted yarn: cycles to failure for specimen length, load-cycle amplitude and load in a 2^3, fitted as a plane in log cyclesBox and Draper (2007) · 3 factors, 8 runs
Mixture
The ingredients add up to the whole.
- Cornell's yarn elongation: a {3,2} simplex lattice in polyethylene, polystyrene and polypropylene, 15 runsNIST/SEMATECH e-Handbook of Statistical Methods (2020) · 3 factors, 15 runs
- Yarn elongation for blends of polyethylene, polystyrene and polypropylene in a {3, 2} simplex lattice (Cornell 2002)Montgomery (2013) · 3 factors, 6 runs
Other designs
Optimal, blocked, split-plot and other designs made for the problem.
- Tensile strength of cloth treated with four chemicals, on five bolts as blocks (Problem 4.3)Montgomery (2013) · 1 factor, 20 runs
- Wear of old and new fabric sewn into the two legs of the same pants, nine subjects as blocks (Problem 2-4)Anderson and Whitcomb (2007) · 1 factor, 18 runs
- Whiteness, absorbency and fluidity of cotton bleached in a pressure kier against temperature, time, peroxide and NaOH, 35 runs (Exercise 11.17)Box and Draper (2007) · 4 factors, 35 runs
- Breaking strength of synthetic yarn: three draw ratios on three spinneret heads over 12 doffs, a 3 x 3 Latin square in four replicatesBox, Hunter and Hunter (1978) · 4 factors, 36 runs
- Wear of fabric samples from four areas of a sheet, four runs of four positions (Problem 8 of Part II)Box, Hunter and Hunter (1978) · 3 factors, 16 runs
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- Weight loss of four cloths on a Martindale wear tester: a 4 x 4 hyper-Graeco-Latin square in runs, positions, emery papers and holders, replicated twiceBox, Hunter and Hunter (1978) · 6 factors, 32 runs
- Weight loss of seven cloths in seven runs of four on a wear tester: a balanced incomplete block design that is also a Youden square in machine positionsBox, Hunter and Hunter (1978) · 2 factors, 28 runs
- Strength of synthetic yarn: times of spinning, days of drawing and two machine positions in four 3 x 3 Graeco-Latin squaresDavies (1956) · 4 factors, 36 runs
- Wear testing of rubber-covered fabric: four materials, four runs and four positions in a 4 x 4 Latin squareDavies (1956) · 3 factors, 16 runs