scholarly journals Correction to: Optimal Incomplete-Block Designs with Low Replication: A Unified Approach Using Graphs

2021 ◽  
Vol 15 (4) ◽  
Author(s):  
R. A. Bailey ◽  
Alia Sajjad
Keyword(s):  
Block Designs ◽  
Incomplete Block ◽  
Unified Approach

scholarly journals Optimal Incomplete-Block Designs with Low Replication: A Unified Approach Using Graphs

2021 ◽  
Vol 15 (4) ◽  
Author(s):  
R. A. Bailey ◽  
Alia Sajjad
Keyword(s):  
Block Design ◽  
Optimal Designs ◽  
Block Designs ◽  
Incomplete Block ◽  
Unified Approach ◽  
Incomplete Block Design ◽  
Graph Properties

AbstractAn incomplete-block design defines both a concurrence graph and a Levi graph. Properties of either graph can be used to compare designs with respect to D-optimality and with respect to A-optimality. In this paper, we show that optimality of the design implies strong conditions on connectivity properties of the graph, and use this to classify the optimal designs when the number of observational units is close to minimal.

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

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
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