Abstract
The author has written several papers on randomized design in repeated occasions, some of which are published but others are only presented at meetings. This chapter is a reorganized summary of these results.
This chapter is a reorganized summary of author’s research ‘On a special class of regression problems and its applications.’ It is published in Rep. Stat. Appl. Res. JUSE. 1961 (in Japanese) with subtitles’ Random combined fractional factorial designs (7, 1–33); and ‘Some remarks about general models’ (8, 7–17).
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References
Kiefer, J.: On the nonrandomized optimality and randomized nonoptimality of symmetrical designs. Ann. Math. Statist. 29, 675–699 (1958)
Satterthwaite, F.E.: Random balance experimentation. Technometrics 1, 111–137 (1959)
Taguchi, G.: Design of Experiments (in Japanese). Maruzen, Tokyo (1962)
Takeuchi, K.: On a special class of regression problems and its applications: random combined fractional factorial designs. Rep. Stat. Appl. Res. JUSE. 7, 1–33 (1961a)
Takeuchi, K.: On a special class of regression problems and its application: some remarks about general models. Rep. Stat. Appl. Res. JUSE. 8, 7–17 (1961b)
Takeuchi, K.: On the optimality of certain type of PBIB designs. Rep. Stat. Appl. Res. JUSE. 8, 140–145 (1961c)
Takeuchi, K.: A table of difference sets generating balanced incomplete block designs. Rev. ISI 30, 361–366 (1962)
Takeuchi, K.: A remark added to “On the optimality of certain type of PBIB designs”. Rep. Stat. Appl. Res. JUSE. 10, 225 (1963a)
Takeuchi, K.: On the construction of a series of BIB designs. Rep. Stat. Appl. Res. JUSE. 10, 226 (1963b)
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Takeuchi, K. (2020). Theory of Randomized Designs. In: Contributions on Theory of Mathematical Statistics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55239-0_7
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DOI: https://doi.org/10.1007/978-4-431-55239-0_7
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