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Table 2 Inference of the relative sizes (in thousands) of 11 stocks in 2014

From: The systematic sampling for inferring the survey indices of Korean groundfish stocks

Season Stock \( \widehat{Y_s} \) \( \widehat{SE}{\left(\widehat{Y_s}\right)}_{SRS} \) \( \widehat{SE}{\left(\widehat{Y_s}\right)}_{SYS} \) Change (%)
Spring 1 27.0 11.1 8.5 − 24.08
2 2696.3 1569.4 1303.5 − 16.95
3 549.3 528.4 536.4 1.50
4 17.2 8.5 8.5 − 0.03
5 52.6 26.2 26.1 − 0.39
6 469.5 187.8 180.4 − 3.91
7 10.4 4.4 4.0 − 8.33
8 8.3 3.2 2.9 − 8.45
9 20.8 7.4 7.3 − 0.98
10 28.8 10.8 7.7 − 28.76
11 269.3 90.0 87.7 − 2.57
Fall 1 161.3 85.3 62.5 − 26.70
2 1107.6 507.4 468.2 − 7.72
3 9171.1 7555.7 7692.5 1.81
4 28.9 21.3 21.1 − 0.85
5 6.5 3.2 2.9 − 6.66
6 664.1 234.5 224.0 − 4.48
7 66.2 18.9 16.2 − 14.61
8 8.5 5.0 5.0 − 0.53
9 110.9 27.1 22.2 − 18.01
10 1.5 0.8 0.7 − 2.61
11 2463.1 1109.1 957.9 − 13.63
  1. The column of “Change (%)” indicates a change in the standard error (SE) under the systematic sampling (SYS) relative to that under the simple random sampling (SRS), i.e., Change (%) = \( 100\cdot \left[\left(\widehat{SE}{\left({\widehat{Y}}_s\right)}_{SYS}-\widehat{SE}{\left({\widehat{Y}}_s\right)}_{SRS}\right)/\widehat{SE}{\left({\widehat{Y}}_s\right)}_{SRS}\right] \). Those 11 stocks are as follows: 1 = Pacific cod (Gadus macrocephalus); 2 = White croaker/Silver jewfish (Argyrosomus argentatus); 3 = Pacific herring (Clupea pallasii); 4 = Red tilefish (Branchiostegus japonicus); 5 = Blackfin flounder (Glyptocephalus stelleri); 6 = Yellow croaker (Larimichthys polyactis); 7 = Gazami crab (Portunus trituberculatus); 8 = Mottled skate (Raja pulchra); 9 = Chub mackerel (Scomber japonicus); 10 = Black scraper (Thamnaconus modestus); 11 = Largehead hairtail (Trichiurus lepturus)