Balanced Incomplete Block Design (BIBD) Notation

Balanced Incomplete Block Design (BIBD) Notation
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Balanced Incomplete Block Design (BIBD) Notation a-number of treatments m-number of treatmentsblock r-number of treatment reps b-number of blocks Narbm r(m-1)l(a-1) BIBD Example Block 1 2 3 4 A A A B B B C C C D D D Verify that l2 One

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01
Balanced Incomplete Block Design (BIBD) Notation
a-number of treatments
m-number of treatments/block
r-number of treatment reps
b-number of blocks
N=ar=bm
r(m-1)=l(a-1)<br>
02
BIBD Example
Block
1 2 3 4
A A A B
B B C C
C D D D
Verify that l=2<br>
03
One way to generate BIBD’s (assuming a and m have been selected) is to choose


This worked well in the previous example
It can be inefficient for large a or m≈a/2 Generating BIBD’s<br>