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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