FieldsElectrical and electronic equipment
Experiments here usually have about 3 factors and 16 runs. Most are full factorials.
- Full factorial
- Fractional factorial or screening
- Central composite or Box-Behnken
- Other designs
Show the numbers
| Kind of design | Experiments | Factors | Runs |
|---|---|---|---|
| Full factorial | 17 | 2 | 15 |
| Fractional factorial or screening | 8 | 5 | 10 |
| Central composite or Box-Behnken | 1 | 5 | 33 |
| Other designs | 2 | 7 | 56 |
Factors and runs are the medians of each kind.
Full factorial
Every combination of the factor levels.
- Eddy current probe sensitivity: impedance against wire turns, winding distance and wire gauge (2^3)NIST/SEMATECH e-Handbook of Statistical Methods (2020) · 3 factors, 8 runs
- Assembly time of hand-inserted components on circuit boards against three fixtures and two layouts, four operators within each layout, two replicates: a nested-factorial designMontgomery (2013) · 3 factors, 48 runs
- Battery life against three plate materials and three temperatures, with numbers of runs in the cells proportional to the row and column totalsMontgomery (2013) · 2 factors, 20 runs
- Current needed for a brightness level of a television tube, by glass type and phosphor type (Problem 5.6)Montgomery (2013) · 2 factors, 18 runs
- Life of batteries with three plate materials at three temperatures, a 3^2 factorial with four batteries at each combinationMontgomery (2013) · 3 factors, 36 runs
Show the rest
- Life of two brands of battery in three devices, run twice (Problem 5.26)Montgomery (2013) · 2 factors, 12 runs
- Light output of an oscilloscope tube with three faceplate glasses at three temperatures, run three times (Problem 5.10)Montgomery (2013) · 2 factors, 27 runs
- Thermal impedance of a power module: ten parts, each tested three times by three inspectors (Hoof and Berman 1988) (Problem 13.2)Montgomery (2013) · 2 factors, 90 runs
- Vibration of a printed circuit board cut by a router: bit size by cutting speed, a 2^2 run four times (Problem 6.5)Montgomery (2013) · 2 factors, 4 runs
- Voltage across a DC circuit: current by resistance, a 2^2 run twice, analysed in coded and in engineering unitsMontgomery (2013) · 4 factors, 8 runs
- Battery life for three materials at three temperatures, a 3 x 3 general factorial replicated four times (Problem 7-1)Anderson and Whitcomb (2007) · 2 factors, 36 runs
- Faulty nickel-cadmium cells against order and direction of rolling the electrodes, a 2^2 (Exercise 4.18)Box and Draper (2007) · 2 factors, 4 runs
- Faulty nickel-cadmium cells against sintering method, separator and rolling pin, a 2^3 (Exercise 4.18)Box and Draper (2007) · 3 factors, 8 runs
- Time to discharge of AA batteries against battery type, connector and temperature, a 2^3 (Exercise 4.19)Box and Draper (2007) · 3 factors, 8 runs
- A robust active low-pass filter: peaking and resistor value in a 2^2 simulated in PSPICE, with a centre run (Texas Instruments)Schmidt and Launsby (2000) · 2 factors, 5 runs
- Force constant of a linear motor: five end caps by three motor configurations, S/N and standard deviationSchmidt and Launsby (2000) · 2 factors, 15 runs
- Judged quality of sound: brand of tape deck, bass, treble and synthesizer (Exercise 10.11)Box, Hunter and Hunter (1978) · 4 factors, 16 runs
Fractional factorial or screening
A planned part of the combinations, to find the factors that matter.
- A fictitious starter motor: inner 2^3 in turns, gauge and ferric content crossed with outer 2^2 in temperature and voltageNIST/SEMATECH e-Handbook of Statistical Methods (2020) · 5 factors, 32 runs
- Francisco's refrigerator: compressor power A, volume B and insulation C, the half fraction C = AB, and a run at 700 WDunn (2015) · 3 factors, 5 runs
- Camber of semiconductor substrates: lamination temperature, time and pressure and firing temperature, cycle time and dew point in 16 runs (Problem 8.28)Montgomery (2013) · 6 factors, 16 runs
- Solder paste printing: squeegee pressure, printing speed, squeegee angle, temperature, viscosity, cleaning interval, separation speed and humidity in a 2^(8-3) (Problem 8.37)Montgomery (2013) · 8 factors, 32 runs
- Defects found by four environmental stress screens in a 2^(4-1), three boards a run (Problem 5 of chapter 5)Schmidt and Launsby (2000) · 4 factors, 8 runs
Show the rest
- Force constant of a linear motor: end cap, front cut and centre cut in an L8, analysed by S/N (Digital Equipment)Schmidt and Launsby (2000) · 3 factors, 8 runs
- Screening an analog filter in SPICE: five components in the first five columns of an L12, ten repetitions a run (Texas Instruments)Schmidt and Launsby (2000) · 5 factors, 12 runs
- Solder defects per million opportunities in a wave soldering process: a crossed array, five controllable and three noise variables (Problem 12.18)Montgomery (2013) · 5 factors, 8 runs
Central composite or Box-Behnken
Extra runs that fit curvature, to find an optimum.
Other designs
Optimal, blocked, split-plot and other designs made for the problem.
- Open circuit voltage of battery cells: a 48-run D-optimal two-way split-plot design, 16 lots by six curing cycles, for six two-level factorsGoos and Jones (2011) · 6 factors, 48 runs
- Pino's two-way split-plot design for a battery cell: the 2^6 factorial as 16 lots by four curing cyclesGoos and Jones (2011) · 8 factors, 64 runs