Further Reading

Box, Hunter and Hunter [4] provide one of the clearest and most practical guides to design of experiments. Montgomery [5] gives a more theoretical treatment in a popular book that is currently in its seventh edition.

ANSWERS FOR EXERCISES
9.1-9.4 – Solutions are given in connection with the exercises.
9.5 The number of runs doubles with each added factor, from four runs with two factors to 256 runs with eight factors.
9.6 A-BCD, B-ACD, C-ABD, D-ABC, AB-CD, AC-BD, and AD-BC.
9.7 The solution is given in connection with the exercise.
9.8 Main effects are confounded with two-way interactions.
9.9(b) Resolution V. Main effects are confounded with four-way interactions, and two-way with three-way interactions.
9.10 The solution is given in connection with the exercise.
9.11 R2= 0.98.
9.12-9.13 – Solutions are given in connection with the exercises.

References

1. Fisher, R.A. (1951) The Design of Experiments, 6th edn, Oliver and Boyd, Edinburgh.

2. Box, G.E.P. (1990) Do Interactions Matter? Quality Engineering, 2(3), 365–369.

3. Greenfield, T. (2009) Speech after receiving the George Box Medal. ENBIS 9, European Network for Business and Industrial Statistics, September 20–24, Gothenburg, Sweden.

4. Box, G.E.P., Hunter, J.S., and Hunter, W.G. (2005) Statistics for Experimenters: Design, Innovation, and Discovery, 2nd edn, John Wiley & Sons, Inc., Hoboken (NJ).

5. Montgomery, D.C. (2005) Design and Analysis of Experiments, 6th edn, John Wiley & Sons, Inc., Hoboken (NJ).

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