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The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)

Table 7 Statistics of the absolute differences (×100) between the observed and estimated ‘inverse important’ input coefficients from the FLQ+ and GRAS+ methods

From: A new approach to modelling the input–output structure of regional economies using non-survey methods

  \(\left| {a_{ij}^{r} - \hat{a}_{ij}^{r} } \right|\) FLQ+ \(\left| {a_{ij}^{r} - \hat{a}_{ij}^{r} } \right|\) GRAS+
Mean Max Median SD Mean Max Median SD
Gyeonggi 0.3008 40.9 0.0743 1.2803 0.3554 51.3 0.0825 1.5706
Seoul 0.3374 18.4 0.0724 0.8849 0.4479 28.2 0.0654 1.2231
N Gyeongsang 0.4178 40.5 0.0908 1.3990 0.5306 68.7 0.1110 2.2601
S Gyeongsang 0.3771 34.7 0.0849 1.1992 0.4422 51.9 0.0851 1.6980
Ulsan 0.4026 48.3 0.0713 1.7161 0.5020 61.7 0.0801 2.2664
South Jeolla 0.4398 34.7 0.0923 1.4292 0.5537 67.6 0.1006 2.5508
S Chungcheong 0.3500 47.0 0.0805 1.4193 0.3791 60.2 0.0734 1.8007
Incheon 0.3236 25.5 0.0577 1.2792 0.3482 27.4 0.0618 1.3841
Busan 0.3747 18.7 0.0880 1.0106 0.3893 23.1 0.0926 1.1152
N Chungcheong 0.3476 49.6 0.0634 1.5083 0.3670 58.5 0.0625 1.7175
Daegu 0.3559 42.1 0.0710 1.2597 0.3655 49.3 0.0725 1.4249
North Jeolla 0.3293 52.0 0.0693 1.4640 0.3361 62.1 0.0649 1.7321
Gangwon 0.5654 124.6 0.1004 3.4241 0.5765 125.0 0.0993 3.4986
Gwangju 0.3344 48.6 0.0542 1.4388 0.3349 52.3 0.0529 1.5045
Daejeon 0.3101 40.8 0.0552 1.2330 0.3108 39.8 0.0558 1.2182
Jeju 0.3927 51.1 0.0747 1.6197 0.4077 51.1 0.0689 1.7564
Mean 0.3725 44.8 0.0750 1.4728 0.4154 54.9 0.0768 1.7951
Weighted mean 0.3583 37.5 0.0765 1.3111 0.4235 50.1 0.0796 1.7087
V 0.173 0.53 0.183 0.381 0.203 0.43 0.223 0.337