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Table 3 Inference of the relative sizes (in MT) of 11 stocks in 2014. \( \widehat{B_s} \) is the survey index in biomass (MT)

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

Season Stock \( \widehat{B_s} \) \( \widehat{SE}{\left(\widehat{B_s}\right)}_{SRS} \) \( \widehat{SE}{\left(\widehat{B_s}\right)}_{SYS} \) Change (%)
Spring 1 7.2 3.2 2.3 − 27.78
2 274.2 150.3 104.2 − 30.65
3 41.0 39.2 39.8 1.50
4 4.1 2.0 2.1 1.75
5 2.2 0.9 0.8 − 16.65
6 8.3 2.9 2.8 − 2.57
7 1.9 0.8 0.6 − 16.37
8 13.7 5.5 5.3 − 4.18
9 2.5 1.0 1.0 − 0.30
10 13.7 5.4 4.1 − 24.81
11 3.4 0.9 0.8 − 15.51
Fall 1 22.7 9.4 6.5 − 31.13
2 98.7 55.5 55.3 − 0.40
3 577.5 468.7 476.4 1.66
4 4.5 2.6 2.6 − 1.42
5 1.4 0.8 0.8 − 3.17
6 15.0 4.7 4.4 − 4.44
7 15.3 4.3 3.5 − 19.52
8 9.2 4.8 3.9 − 17.90
9 19.8 5.0 3.8 − 22.98
10 0.5 0.3 0.3 − 6.32
11 66.0 26.7 25.9 − 2.74
  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 (%) = \( 100\cdot \left[\left(\widehat{SE}{\left({\widehat{B}}_s\right)}_{SYS}-\widehat{SE}{\left({\widehat{B}}_s\right)}_{SRS}\right)/\widehat{SE}{\left({\widehat{B}}_s\right)}_{SRS}\right] \). 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)