A-Optimal Incomplete Block Designs for Control-Test Treatment Comparisons

Technometrics ◽  
1984 ◽  
Vol 26 (4) ◽  
pp. 363 ◽  
Author(s):  
A. S. Hedayat ◽  
Dibyen Majumdar
Keyword(s):  
Block Designs ◽  
Incomplete Block ◽  
Control Test ◽  
Treatment Comparisons ◽  
Test Treatment

A-Optimal Incomplete Block Designs for Control-Test Treatment Comparisons

Technometrics ◽  
1984 ◽  
Vol 26 (4) ◽  
pp. 363-370 ◽  
Author(s):  
A. S. Hedayat ◽  
Dibyen Majumdar
Keyword(s):  
Block Designs ◽  
Incomplete Block ◽  
Control Test ◽  
Treatment Comparisons ◽  
Test Treatment

Assessment of suitable designs for field experiments involving airborne diseases

1997 ◽  
Vol 129 (3) ◽  
pp. 249-256 ◽  
Author(s):  
V. SOLÓRZANO ◽  
S. G. GILMOUR ◽  
K. PHELPS ◽  
R. KENNEDY
Keyword(s):  
Field Experiments ◽  
Plant Diseases ◽  
Block Designs ◽  
Incomplete Block ◽  
Balanced Incomplete Block Designs ◽  
Treatment Comparison ◽  
Unbalanced Designs ◽  
Interplot Interference ◽  
Balanced Incomplete Block ◽  
Treatment Comparisons

The suitability was assessed of various designs for field experiments investigating plant diseases caused by airborne pathogens that can be subject to interplot interference. Use of a model to describe such interference showed that the treatments with the most dissimilar effects on controlling the disease should be allocated to experimental plots furthest apart in each block, in order to minimize the interplot interference within a block. When using large square plots, rectangular blocks were more efficient than square blocks in minimizing treatment-comparison biases due to interference between neighbours. For rectangular blocks with the square plots side by side, less biased treatment comparisons were obtained from designs with complete blocks than from designs with incomplete blocks, especially when larger numbers of treatments were included in the experiment. However, when interplot variance is taken into account, incomplete blocks may give better treatment comparisons. Similarly, unbalanced designs composed only of incomplete blocks that yield less biased treatment comparisons may be better than balanced incomplete block designs when interplot variance is low. For high levels of variation, balanced incomplete block designs may be more appropriate, as increasing the precision of the treatment comparisons becomes more important than reducing the bias.

Block designs for variety trials

1978 ◽  
Vol 90 (2) ◽  
pp. 395-400 ◽  
Author(s):  
H. D. Patterson ◽  
E. R. Williams ◽  
E. A. Hunter
Keyword(s):  
Block Designs ◽  
Incomplete Block ◽  
Variety Trials ◽  
Rectangular Lattices

SummaryIn this paper we present a series of resolvable incomplete block designs suitable for variety trials with any number of varieties v in the range 20 ≤v ≤ 100. These designs usefully supplement existing square and rectangular lattices. They are not necessarily optimal in the sense of having smallest possible variances but their efficiencies are known to be high.

On the construction of group divisible incomplete block designs

1975 ◽  
Vol 3 (2) ◽  
pp. 285-288
Author(s):  
H. T. Trivedi ◽  
V. K. Sharma
Keyword(s):  
Block Designs ◽  
Incomplete Block ◽  
Group Divisible

ON INCOMPLETE BLOCK DESIGNS FOR SYMMETRIC PARALLEL LINE ASSAYS

1990 ◽  
Vol 32 (3) ◽  
pp. 337-344 ◽  
Author(s):  
Sudhir Gupta ◽  
Rahul Mukerjee
Keyword(s):  
Parallel Line ◽  
Block Designs ◽  
Incomplete Block

scholarly journals A Note on Incomplete Block Designs with Row Balance

1953 ◽  
Vol 24 (1) ◽  
pp. 123-126 ◽  
Author(s):  
H. O. Hartley ◽  
S. S. Shrikhande ◽  
W. B. Taylor
Keyword(s):  
Block Designs ◽  
Incomplete Block
Sign in / Sign up

Export Citation Format

Share Document