Split and strip-plot configurations of two-level fractional factorials: A review

2000 ◽  
Vol 9 (1-3) ◽  
pp. 85-96
Author(s):  
Renato Guseo
Keyword(s):  
Fractional Factorials

scholarly journals Blocking in regular fractional factorials: a projective geometric approach

1999 ◽  
Vol 27 (4) ◽  
pp. 1256-1271 ◽  
Author(s):  
Rahul Mukerjee ◽  
C. F. J. Wu
Keyword(s):  
Geometric Approach ◽  
Fractional Factorials

Fractional Factorials

2017 ◽  
pp. 87-108
Author(s):  
Mark J. Anderson ◽  
Patrick J. Whitcomb
Keyword(s):  
Fractional Factorials

Finding Significant Effects for Unreplicated Fractional Factorials Using thenSmallest Contrasts

1993 ◽  
Vol 25 (1) ◽  
pp. 18-27 ◽  
Author(s):  
Helmut Schneider ◽  
William J. Kasperski ◽  
Lisa Weissfeld
Keyword(s):  
Fractional Factorials

Generation of Two-Level Cost Optimal Fractional Factorials

1978 ◽  
Vol 22 (1) ◽  
pp. 599-599
Author(s):  
Joseph J. Pignatiello
Keyword(s):  
Mathematical Programming ◽  
Programming Problem ◽  
Minimum Cost ◽  
Fractional Factorial ◽  
Factorial Experiment ◽  
Mathematical Programming Problem ◽  
Fractional Factorials ◽  
Number Of Factors ◽  
Main Effects ◽  
Full Factorial

It is assumed that, in a 2k factorial experiment, there are different costs per observation at each of the factor combinations. When the number of factors, k, increases, the total number of observations in the full factorial increases rapidly as does the expense of observing all observations in the full factorial. If the experimenter can assume certain classes of higher-order interactions are negligible, then advantage may be taken by observing measurements from an orthogonal fractional factorial. For any “1/2p” fraction of the full factorial, a 2k-p experiment, there are 2p feasible orthogonal fractions that could be selected at random. This paper develops an algorithm for generating the minimum cost such fraction in an efficient way. The problem is formulated as a mathematical programming problem subject to a resolution III constraint (main effects unconfounded). Computational experience is presented.

CONSTRUCTION OF SOME BALANCED BINARY VARIANCE BALANCED BLOCK DESIGN BASED ON FRACTIONAL FACTORIALS

2016 ◽  
Vol 52 (1) ◽  
pp. 17-33
Author(s):  
A. Rajarathinam ◽  
A. Radhika ◽  
C. C. Gujarathi
Keyword(s):  
Block Design ◽  
Fractional Factorials

SEQUENTIAL EXPERIMENTATION USING TWO-LEVEL FRACTIONAL FACTORIALS

2000 ◽  
Vol 12 (3) ◽  
pp. 335-346 ◽  
Author(s):  
Joseph T. Emanuel ◽  
Muruganandan Palanisamy
Keyword(s):  
Fractional Factorials ◽  
Sequential Experimentation

An Analysis for Unreplicated Fractional Factorials

Technometrics ◽  
1986 ◽  
Vol 28 (1) ◽  
pp. 11-18 ◽  
Author(s):  
George E.P. Box ◽  
R. Daniel Meyer
Keyword(s):  
Fractional Factorials
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