Recent Developments in the Design of Factorial Experiments

Abstract Since 1965 almost all of the contributions to the design and analysis of factorial experiments have involved fractional factorial plans. These contributions may be categorized by three main classes of plans which are: (a) fractions of asymmetrical factorial arrangements, (b) irregular fraction plans and (c) sequences of fractional factorial plans. In this article the development of the design of factorial experiments since 1965 will be outlined. Some of the plans described have not as yet appeared in the statistical literature.

[1]  D. Cox,et al.  Recent Work on the Design of Experiments: A Bibliography and a Review , 1969 .

[2]  B. Margolin.  Results on Factorial Designs of Resolution IV for the 2 n and 2 n 3 m Series , 1969 .

[3]  F. Wilcoxon,et al.  Factorial 2 p–q Plans Robust Against Linear and Quadratic Trends , 1966 .

[4]  B. Margolin.  Resolution Iv Fractional Factorial Designs , 1969 .

[5]  Steve R. Webb,et al.  Non-Orthogonal Designs of Even Resolution* , 1968 .

[6]  T. H. Starks.  A Note on Small Orthogonal Main-Effect Plans for Factorial Experiments , 1964 .

[7]  DESIGN, TESTING AND ESTIMATION IN COMPLEX EXPERIMENTATION. I. EXPANSIBLE AND CONTRACTIBLE FACTORIAL DESIGNS AND THE APPLICATION OF LINEAR PROGRAMMING TO COMBINATORIAL PROBLEMS , 1965 .

[8]  David M. Stoneman,et al.  RESPONSE SURFACE DESIGNS FOR FACTORS AT TWO AND THREE LEVELS. , 1966 .

[9]  S. Addelman.  Orthogonal Main-Effect Plans for Asymmetrical Factorial Experiments , 1962 .

[10]  S. Addelman.  SEQUENCES OF FRACTIONAL FACTORIAL PLANS. , 1968 .

[11]  Sidney Addelman,et al.  Techniques for Constructing Fractional Replicate Plans , 1963 .

[12]  Barry H. Margolin,et al.  Orthogonal Main-Effect 2 n 3 m Designs and Two-Factor Interaction Aliasing , 1968 .

[13]  S. Addelman.  Symmetrical and Asymmetrical Fractional Factorial Plans , 1962 .

[14]  Sidney Addelman,et al.  Sequences of Two-Level Fractional Factorial Plans , 1969 .

[15]  David M. Stoneman,et al.  Factor Changes and Linear Trends in Eight-Run Two-Level Factorial Designs , 1968 .

[16]  S. Webb.  Saturated Sequential Factorial Designs , 1968 .

[17]  C. H. Yang.  On Designs of Maximal (+1, -1)-Matrices of Order n ≡2 (mod 4). II , 1968 .

[18]  S. Webb.  Small Incomplete Factorial Experiment Designs for Two- and Three- Level Factors , 1971 .

[19]  Frank Yates,et al.  The principles of orthogonality and confounding in replicated experiments. (With Seven Text-figures.) , 1933, The Journal of Agricultural Science.

[20]  Orthogonal Main-Effect Plans Permitting Estimation of All Two-Factor Interactions for the 2n3m Factorial Series of Designs , 1969 .

[21]  R. L. Rechtschaffner.  Saturated Fractions of 2n and 3n Factorial Designs , 1967 .

[22]  D. L. Weeks,et al.  A Method of Constrained Randomization for 2 n Factorials , 1970 .

[23]  J. N. Srivastava,et al.  Optimal Fractional Factorial Plans for Main Effects Orthogonal to Two-Factor Interactions: 2 m Series , 1970 .

[24]  D. J. Finney.  THE FRACTIONAL REPLICATION OF FACTORIAL ARRANGEMENTS , 1943 .

[25]  Norman R. Draper,et al.  Construction of the Set of 256-Run Designs of Resolution $\geqq 5$ and the Set of Even 512-Run Designs of Resolution $\geqq 6$ with Special Reference to the Unique Saturated Designs , 1968 .

[26]  C. H. Yang.  On designs of maximal (+1,-1)-matrices of order ≡2(\4). II , 1968 .