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not simply Estimate ± 1.96 (Standard Error), as is often used. Rather,
they were obtained using transformations that have been derived to
obtain improved limits as described by Manly (1984). The calculations
were done using the computer program JS that is described in the
Supplementary Material to this chapter, which can be found at https://
sites.google.com/a/west-inc.com/introduction-to-ecological-sampling-
supplementary-materials/. R code demonstrating calculation of the JS
maximum likelihood estimates using the 'mra' package is also available
at that site.
TABLE 8.1
Manly and Parr's Data from Sampling a Population of the Burnet Moth in
Dale, Pembrokeshire, Wales, in July 1968
July
Capture
Pattern
Number
of Moths
19
20
21
22
24
1
1
1
1
1
1
1
2
1
1
1
1
1
0
3
9
1
1
1
0
0
4
4
1
1
0
0
1
5
10
1
1
0
0
0
6
5
1
0
1
1
1
7
2
1
0
1
0
1
8
1
1
0
1
0
0
9
2
1
0
0
1
1
10
1
1
0
0
0
1
11
1
0
1
1
1
0
12
4
0
1
1
0
1
13
4
0
1
1
0
0
14
1
0
1
0
1
1
15
2
0
1
0
1
0
16
2
0
1
0
0
1
17
1
0
0
1
1
1
18
3
0
0
1
1
0
19
7
0
0
1
0
1
20
5
0
0
0
1
1
21
21
1
0
0
0
0
22
12
0
1
0
0
0
23
13
0
0
1
0
0
24
9
0
0
0
1
0
25
19
0
0
0
0
1
Note: There were 25 distinct capture patterns obtained, as indicated by the five right-
most columns of the table, where 0 indicates no capture and 1 indicates capture;
the second column shows how many moths displayed these patterns. Thus,
one moth was seen in all five samples, one moth was seen in the first four
samples only, nine moths were seen in the first three samples only, and so on.
 
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