NE Groundfish Survey S2021
- S2021 was done without saving any lobsters but recording the data according to protocol.
- No possibility of determining False(+)
- Four files transmitted to JGK as a zip file quarantined to the kunkel home page directory on marlin.
Five strings of 10 trawls
- developed R-script source("HBB_S2021_LatLonNandESDgrouped_black.R")
- Do Chi-Sq on the 5 ESD proportions.
 5 strings of 10 trawls with ESD tabled
|
Chi Square of ESD in 5 sequential strings of 10 trawls
| Strings |
R |
O |
Y |
G |
B |
all 50
|
| k ESD
|
13 |
8 |
8 |
7 |
6
|
42
|
| non-ESD
|
912 |
126 |
289 |
590 |
400
|
2317
|
| n lobsters |
925 |
134 |
297 |
597 |
406 |
2359
|
|
- Chi Square with 4 df
- Sum ((O-E)^2)/E
- E = {42/2359; 2317/2359} = {0.01780415; 0.9821958}
- ER = {16.46884; 908.5312}
- EO = {2.385757; 131.6142}
- EY = {5.287834; 291.7122}
- EG = {10.62908; 586.3709}
- EB = {7.228487; 398.7715}
|
- O = c(13,8,8,7,6,912,126,289,590,400)
- E = c( 16.46884,908.5312,2.385757,131.6142,5.287834, 291.7122, 10.62908, 586.3709, 7.228487, 398.7715)
> O = t(matrix(OB,5,2))
> O
[,1] [,2] [,3] [,4] [,5]
[1,] 13 8 8 7 6
[2,] 912 126 289 590 400
> E
[,1] [,2] [,3] [,4] [,5]
[1,] 16.46884 2.385757 5.287834 10.62908 7.228487
[2,] 908.53120 131.614200 291.712200 586.37090 398.771500
> sum(((O-E)^2)/E)
[1] 17.0854
> ChiSq=sum(((O-E)^2)/E)
Probability less than the critical value
ν 0.90 0.95 0.975 0.99 0.999
-- ----- ----- ------ ----- ------
1 2.706 3.841 5.024 6.635 10.828
2 4.605 5.991 7.378 9.210 13.816
3 6.251 7.815 9.348 11.345 16.266
4 7.779 9.488 11.143 13.277 * 18.467
5 9.236 11.070 12.833 15.086 20.515
Therefore, P[ESD is distributed evenly in the NE Groundfish Survey GoM territory] < 1%
... GoM ESD is clustered and could be classified as Epizootic.