Screening designs based on weighing matrices with added two-level categorical factors

2019 ◽  
Vol 52 (2) ◽  
pp. 168-181
Author(s):  
Marwan H. Alhelali ◽  
Stelios D. Georgiou ◽  
Stella Stylianou
Keyword(s):  
Weighing Matrices ◽  
Screening Designs

Efficient three-level screening designs using weighing matrices

Statistics ◽  
2013 ◽  
Vol 48 (4) ◽  
pp. 815-833 ◽  
Author(s):  
Stelios D. Georgiou ◽  
Stella Stylianou ◽  
Manohar Aggarwal
Keyword(s):  
Weighing Matrices ◽  
Screening Designs

scholarly journals Determination of all possible orders of weight 16 circulant weighing matrices

2006 ◽  
Vol 12 (4) ◽  
pp. 498-538 ◽  
Author(s):  
K.T. Arasu ◽  
Ka Hin Leung ◽  
Siu Lun Ma ◽  
Ali Nabavi ◽  
D.K. Ray-Chaudhuri
Keyword(s):  
Weighing Matrices

Constructions for Circulant and Group-Developed Generalized Weighing Matrices

2016 ◽  
Vol 24 (9) ◽  
pp. 406-420
Author(s):  
Robert Craigen ◽  
Warwick de Launey
Keyword(s):  
Weighing Matrices

scholarly journals On circulant codes with prescribed distances

1977 ◽  
Vol 16 (3) ◽  
pp. 361-369
Author(s):  
M. Deza ◽  
Peter Eades
Keyword(s):  
Sufficient Conditions ◽  
Difference Sets ◽  
Necessary And Sufficient Conditions ◽  
Necessary Condition ◽  
Weighing Matrices ◽  
Cyclic Difference Sets ◽  
The Matrix ◽  
Circulant Codes ◽  
Necessary And Sufficient ◽  
Square Matrix

Necessary and sufficient conditions are given for a square matrix to te the matrix of distances of a circulant code. These conditions are used to obtain some inequalities for cyclic difference sets, and a necessary condition for the existence of circulant weighing matrices.

scholarly journals A new class of symmetric weighing matrices

1986 ◽  
Vol 41 (1) ◽  
pp. 44-46 ◽  
Author(s):  
H. Kharaghani
Keyword(s):  
Weighing Matrices ◽  
New Class

AbstractIf there is a W (n, p), then there is a symmetric W (n2, p2).

A new construction of quantitative screening designs

Statistics ◽  
2018 ◽  
Vol 53 (1) ◽  
pp. 227-244
Author(s):  
K. Chatterjee ◽  
S. D. Georgiou ◽  
C. Koukouvinos ◽  
S. Stylianou
Keyword(s):  
Screening Designs ◽  
New Construction ◽  
Quantitative Screening

scholarly journals Step-Wise Group Screening Designs with Unequal A-Priori Probabilities and Errors in Observations

2003 ◽  
Vol 8 (2) ◽  
pp. 153
Author(s):  
M.M. Manene
Keyword(s):  
Cost Function ◽  
Group Size ◽  
A Priori ◽  
Expected Number ◽  
Total Cost ◽  
Screening Designs ◽  
Expected Total Cost

The performance of step-wise group screening with unequal a-priori probabilities in terms of the expected number of runs and the expected maximum number of incorrect decisions is considered. A method of obtaining optimal step-wise designs with unequal a-priori probabilities is presented for the case in which the direction of each defective factor is assumed to be known a -priori and observations are subject to error. An appropriate cost function is introduced and the value of the group size which minimizes the expected total cost is obtained.  

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