FieldsAerospace and defence
Experiments here usually have about 4 factors and 16 runs. Full factorials and fractional factorials are the most common.
- Full factorial
- Fractional factorial or screening
- Mixture
- Other designs
Show the numbers
| Kind of design | Experiments | Factors | Runs |
|---|---|---|---|
| Full factorial | 5 | 4 | 16 |
| Fractional factorial or screening | 3 | 4 | 8 |
| Mixture | 2 | 5 | 24.5 |
| Other designs | 9 | 2 | 12 |
Factors and runs are the medians of each kind.
Full factorial
Every combination of the factor levels.
- Crack length in a nickel-titanium alloy: pouring temperature, titanium content, heat treatment and grain refiner, a 2^4 run twice (Table P6.2) (Problem 6.15)Montgomery (2013) · 4 factors, 16 runs
- Defects in aircraft interior panels: temperature, clamp time, resin flow and closing time in a single replicate of a 2^4, for location and dispersionMontgomery (2013) · 4 factors, 16 runs
- Rivet head protrusion against countersink, the h parameter and head diameter, in four unbalanced blocks (regression on the data collected)Schmidt and Launsby (2000) · 5 factors, 27 runs
- Shrinkage of cast turbine blades: mold temperature, metal temperature and pour speed in a 2^3, three readings a runSchmidt and Launsby (2000) · 3 factors, 8 runs
- Turbine blade thickness in a 2^4 of metal and mold temperature, pour time and vendor (Problem 2 of chapter 5)Schmidt and Launsby (2000) · 4 factors, 16 runs
Fractional factorial or screening
A planned part of the combinations, to find the factors that matter.
- Profile deviation of jet engine impeller blades from a five-axis CNC machine: eight machine settings in a 2^(8-3) in four blocksMontgomery (2013) · 8 factors, 32 runs
- Aircraft paint thickness: thinner, fluid pressure, temperature and vendor in a 2^(4-1) fraction, four readings a runSchmidt and Launsby (2000) · 4 factors, 8 runs
- Turbine blade thickness in a 2^(4-1) with ambient temperature in the outer array (Problem 6 of chapter 5)Schmidt and Launsby (2000) · 4 factors, 8 runs
Mixture
The ingredients add up to the whole.
- Illumination of flares of magnesium, sodium nitrate, strontium nitrate and binder: McLean and Anderson's extreme vertices design and its quadratic fit (Tables 17.2 and 17.3)Box and Draper (2007) · 4 factors, 39 runs
- Modulus of elasticity of a propellant of binder, oxidizer and fuel with lower bounds: quadratic and special cubic fits in pseudocomponents and in proportions (Table 17.1, Kurotori 1966)Box and Draper (2007) · 6 factors, 10 runs
Other designs
Optimal, blocked, split-plot and other designs made for the problem.
- Burning rate of five rocket propellant formulations in a 5 x 5 Latin square of batches and operators, then a Graeco-Latin square with test assembliesMontgomery (2013) · 4 factors, 25 runs
- Intensity at which operators detect a target on a radar scope: three levels of ground clutter by two filter types, with the operators as blocksMontgomery (2013) · 2 factors, 24 runs
- The radar detection experiment run as a 3 x 2 factorial in a 6 x 6 Latin square of days and operatorsMontgomery (2013) · 3 factors, 36 runs
- The temperature in a jet engine's exhaust plume from a computational fluid dynamics model, at ten points of a sphere-packing designMontgomery (2013) · 2 factors, 10 runs
- Compressive strength of concrete for lunar construction: cement, mixing, wetting agent, plasticizer and five reinforcements in 18 runsSchmidt and Launsby (2000) · 5 factors, 18 runs
Show the rest
- The 12-run D-optimal design for two three-level categorical factors and their interaction: the 3^2 with three runs replicatedMontgomery (2013) · 2 factors, 12 runs
- The 12-run I-optimal design for two three-level categorical factors and their interaction: the 3^2 with three runs replicatedMontgomery (2013) · 2 factors, 12 runs
- The 9-run D-optimal design for the main effects of two three-level categorical factors, a 3^2 factorialMontgomery (2013) · 2 factors, 9 runs
- The 9-run I-optimal design for the main effects of two three-level categorical factors, the same 3^2 factorialMontgomery (2013) · 2 factors, 9 runs