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    Yangy, Y., M. Greaney, T. (2017), “Economic Growth and Income Inequality in the Asia-Paci_c Region: A Comparative Study of China, Japan, South Korea, and the United States”, Journal of Asian Economics, vol. 48, pp.6-22.

  • 2SLS

    1- 2SLS : ) ( :

    Gini Atkinson.2 Atkinson.1 Atkinson.5 Theil index - 244/0 ( 319/0 )

    - 105/0 ( 0655/0 )

    - 202/0 ( 166/0 )

    - 164/0 ( 132/0 )

    - 139/0 ( 110/0 ) Ln

    122/0 * ( 077/0 )

    124/0( 265/0 )

    111/0( 288/0 )

    134/0( 294/0 )

    156/0 * (084) Lne

    191/0 * ( 101/0 )

    154/0( 111/0 )

    194/0 ** ( 0980/0 )

    198/0 ** ( 100/0 )

    207/0 ** ( 105/0 ) Lnk

    - 517/4 *** ( 032/1 )

    - 294/4 *** ( 038/1 )

    - 524/4 *** ( 920/1 )

    - 413/4 *** ( 917/0 )

    - 592/4 *** ( 943/0 ) 0

    Under identification test0230/0 ** 0254/00226/0 ** 0222/0 ** 0213/0 ** Kleibergen-Paap rk LM

    statistic Weak-instrument-robust

    inference 0483/0**0003/0 *** 0120/0 ** 003/0 ** 0301/0 ** Anderson-Rubin Wald test

    8195/0807/0823/0821/0819/0Centered R2 09999/0999/0 999/0 999/0 999/0 Uncentered R2 0000/0000/0 0000/0 000/0 0000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    2- 2SLS( : : )

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    135/0( 392/0 )

    0717/0( 0491/0 )

    - 0219/0 ( 221/0 )

    - 0169/0 ( 169/0 )

    - 0139/0 ( 139/0 ) Ln

    359/0 * ( 209/0 )

    416/0 ** ( 211/0 )

    349/0 * ( 196/0 )

    349/0 * ( 195/0 )

    351/0 * ( 211/0 ) Lny

    - 0836/0 *** ( 0209/0 )

    - 0849/0 *** 0225/0 )

    - 0814/0 *** ( 0226/0 )

    - 0811/0 *** ( 0227/0 )

    - 0811/0 *** ( 0225/0 ) Lnprice

    - 968/5 *** ( 660/0 )

    - 909/5 *** ( 552/0 )

    - 229/6 *** ( 626/0 )

    - 233/6 *** ( 654/0 )

    - 219/6 *** ( 566/0 ) 0

    Underidentification test 0132/0 ** 0382/0 ** 01194/0 ** 0128/0 ** 0105/0 ** Kleibergen-Paap rk LM

    statistic Weak-instrument-robust

    inference 0245/0 ** 0136/0 ** 0201/0 ** 02318/0 ** 02121/0 ** Anderson-Rubin Wald

    test 578/060/059/058/059/0Centered R2 000/1000/1 000/1 000/1 000/1 Uncentered R2 000/0000/0 0000/0 000/0 0000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • 3- 2SLS : )( :

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    - 132/0 ( 227/0 )

    155/0( 745/0 )

    - 268/0 ( 383/0 )

    - 253/0 ( 475/0 )

    - 199/0 ( 605/0 ) Ln y

    - 154/0 ( 167/0 )

    286/0( 212/0 )

    - 185/0 ( 279/0 )

    - 331/0 ( 332/0 )

    - 516/0 ( 392/0 ) Lne

    - 0182/0 ( 0220/0 )

    115/0( 131/0 )

    - 0333/0 ( 0366/0 )

    - 0276/0 ( 0427/0 )

    - 00644/0 ( 0641/0 ) Lny2

    0183/0( 184/0 )

    - 189/0 ( 643/0 )

    - 112/0 ( 317/0 )

    00473/0( 397/0 )

    142/0( 523/0 ) Lng

    -0497/0 **

    ( 0194/0 )

    0149/0( 0825/0 )

    - 0906/0 *** ( 0318/0 )

    - 0994/0 ** ( 0390/0 )

    - 104/0 ** ( 0486/0 ) Lnpcs

    - 707/2 ** ( 056/1 )

    305/0( 982/1 )

    - 143/4 ** ( 780/1 )

    - 848/5 *** ( 094/2 )

    - 431/6 *** ( 444/2 ) 0

    Underidentification test 0321/0 ** 0301/00311/0 ** 0301/0 ** 0312/0 ** Kleibergen-Paap rk LM

    statistic Weak-instrument-robust

    inference 0251/0 ** 0311/00301/0 ** 0357/0 ** 0152/0Anderson-Rubin Wald

    test466/0389/0537/046/0377/0Centered R2

    9988/0978/0998/0999/099/0Uncentered R2 0000/0000/0 000/0 000/0 000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    4- 2SLS : )( :

    Theil index Gini P2P1P0P2P1P0

    283/0 *** ( 107/0 )

    467/0 *** ( 157/0 )

    902/0 *** ( 266/0 )

    529/0 ** ( 231/0 )

    888/0 ** ( 346/0 )

    698/1 *** ( 598/0 ) Ln

    - 305/0 ( 236/0 )

    - 0544/0 ( 387/0 )

    - 215/1 ( 790/0 )

    - 238/0 ( 207/0 )

    - 436/0 ( 342/0 )

    - 003/1 ( 713/0 ) Lne

    - 251/0 *** ( 0927/0 )

    - 424/0 *** ( 141/0 )

    - 910/0 *** ( 255/0 )

    - 219/0 *** ( 0814/0 )

    - 372/0 *** ( 124/0 )

    - 809/0 *** ( 226/0 ) Lnk

    0253/0( 0194/0 )

    0412/0( 0303/0 )

    0925/0( 0572/0 )

    0222/0( 0165/0 )

    0355/0( 0254/0 )

    0819/0 * ( 0469/0 ) Lnpcs

    645/1 * ( 883/0 )

    597/2 * ( 382/1 )

    463/5 ** ( 683/2 )

    447/1 * ( 766/0 )

    251/2 * ( 195/1 )

    818/4 ** ( 302/2 ) 0

    Underidentification test

    0213/0 ** 0213/0 ** 0213/0 ** 0230/0 ** 0231/0 ** 0230/0 ** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0292/0 ** 0111/00012/0 ** 0112/0 ** 0312/0 ** 0323/0 ** Anderson-Rubin Wald test

    53/0567/062/060/064/069/0Centered R2 78/083/0902/0 816/0 86/0 921/0 Uncentered R2

    000/0000/0000/0 000/0 0006/0 000/0 F statistic 272727 27 27 27 Number of obs

    : .

  • 5- 2SLS : ) : (

    Atkinson2 Atkinson.5 P2 P1 P0 P2 P1 P0

    233/0 *** ( 0423/0 )

    333/0 *** ( 0724/0 )

    485/0 *** ( 155/0 )

    334/0 *** ( 125/0 )

    552/0 *** ( 183/0 )

    066/1 *** ( 300/0 ) Ln

    - 244/0 ( 188/0 )

    - 428/0 ( 322/0 )

    - 943/0 ( 711/0 )

    - 259/0 ( 214/0 )

    - 469/0 ( 352/0 )

    - 070/1 ( 726/0 ) Lne

    - 137/0 ** ( 0619/0 )

    - 250/0 ** ( 106/0 )

    - 615/0 *** ( 223/0 )

    - 232/0 *** ( 0848/0 )

    - 394/0 *** ( 129/0 )

    - 852/0 *** ( 233/0 ) Lnk

    0302/0 ** ( 0148/0 )

    0511/0 ** ( 0250/0 )

    118/0 ** ( 0519/0 )

    0192/0( 0169/0 )

    0310/0( 0265/0 )

    0728/0( 0502/0 ) Lnpcs

    930/0( 784/0 )

    702/1( 326/1 )

    597/4( 930/2 )

    280/1 * ( 742/0 )

    994/1 * ( 179/1 )

    300/4 * ( 298/2 )0

    Underidentification test

    0258/0 **0258/0 **0258/0 **0222/0 **

    0222/0 **

    0222/0 ** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0000/0 ***

    0000/0 ***

    0000/0 ***

    0292/0 **

    0111/0 **

    0012/0 ***

    Anderson-Rubin Wald test

    69/067/066/0576/061/067/0Centered R2 86/087/091/0 80/0 85/0 91/0 Uncentered R2

    000/0000/0000/0 000/0 000/0 000/0 F statistic 272727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    6- 2SLS : )( :

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    - 551/0 * ( 316/0 )

    - 00152/0 ( 0503/0 )

    - 276/0 ( 187/0 )

    - 222/0 ( 154/0 )

    - 187/0 ( 131/0 ) Ln

    292/0 *** ( 0819/0 )

    295/0 *** ( 0757/0 )

    281/0 *** ( 0747/0 )

    294/0 *** ( 0800/0 )

    306/0 *** ( 0846/0 ) Lne

    0493/0 *** ( 101/0 )

    0485/0 *** ( 111/0 )

    0483/0 *** ( 0959/0 )

    497/0 *** ( 100/0 )

    517/0 *** ( 106/0 ) Lnk

    - 915/6 *** ( 321/1 )

    - 457/7 *** ( 374/1 )

    - 987/6 *** ( 297/1 )

    - 064/7 *** ( 291/1 )

    - 521/7 *** ( 230/1 )0

    Underidentification test

    0035/0 **0026/0 ***0028/0 ***0029/0 ***0040/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0004/0 ***0000/0 ***0003/0 ***0003/0 ***0004/0 *** Anderson-Rubin Wald test

    84/083/085/084/084/0Centered R2 99/0 99/0 99/0 99/0 99/0 Uncentered R2

    0000/0 000/0 0000/0 000/0 000/0 F statistic 2727 27 27 27 Number of obs

    . :

  • 7- 2SLS( : : )

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    - 0533/0 ( 638/1 )

    263/0( 206/0 )

    164/0( 989/0 )

    130/0( 784/0 )

    106/0( 639/0 ) Ln

    042/2 *** ( 734/0 )

    148/2 ** ( 849/0 )

    060/2 *** ( 744/0 )

    070/2 *** ( 738/0 )

    080/2 *** ( 740/0 ) Lny

    - 292/0 *** ( 0974/0 )

    - 277/0 *** ( 0962/0 )

    - 293/0 *** ( 0930/0 )

    - 294/0 *** ( 0941/0 )

    - 293/0 *** ( 0943/0 ) Lnprice

    - 606/7 *** ( 765/2 )

    - 952/6 *** ( 357/2 )

    - 116/7 *** ( 672/2 )

    - 079/7 ** ( 835/2 )

    - 205/7 *** ( 364/2 )0

    Underidentification test

    0191/0 **0512/0 **0163/0 **0169/0 **0151/0 ** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0057/0 ***0067/0 ***004/0 ***004/0 ***004/0 *** Anderson-Rubin Wald test

    77/0770/77/077/077/0Centered R2 99/099/0 99/0 99/0 99/0 Uncentered R2

    000/0000/0 000/0 000/0 0000/0 F statistic 2727 27 27 27 Number of obs

    . :

  • / /74/ 1397

    8- 2SLS : )( :

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    210/0( 214/0 )

    456/0( 589/0 )

    325/0( 342/0 )

    463/0( 449/0 )

    661/0( 582/0 ) Ln y

    - 0109/0 ( 0522/0 )

    279/0 ** ( 0126/0 )

    0208/0( 0803/0 )

    - 0129/0 ( 102/0 )

    - 0396/0 ( 123/0 ) Lne

    00948/0( 0218/0 )

    124/0( 132/0 )

    0126/0( 0356/0 )

    0297/0( 0454/0 )

    0634/0( 0597/0 ) Lny

    2

    264/0( 219/0 )

    - 898/0 ( 566/0 )

    189/0( 361/0 )

    484/0( 448/0 )

    785/0( 562/0 ) Lng

    - 0579/0 ** ( 0232/0 )

    0691/0( 0967/0 )

    - 0977/0 *** ( 0340/0 )

    - 113/0 ** ( 0453/0 )

    - 121/0 ** ( 0579/0 ) Lnpcs

    - 005/1 * ( 553/0 )

    418/2( 135/2 )

    - 291/1 ( 861/0 )

    - 099/2 * ( 133/1 )

    - 368/1 ( 476/1 )0

    Underidentification test

    0155/0 **0155/0 **0155/0 **0155/0 **0155/0 ** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0431/0 **0178/0 **0102/0 **0210/0 **0331/0 ** Anderson-Rubin Wald test

    49/031/058/050/045/0Centered R2 99/097/099/099/099/0Uncentered R2

    0000/0000/0 000/0 000/0 000/0 F statistic 2727 27 27 27 Number of obs

    . :

  • 9- 2SLS : ) ( :

    Theil index Gini P2 P1 P0 P2 P1 P0

    283/0 *** ( 104/0 )

    467/0 *** ( 160/0 )

    896/0 *** ( 93/0 )

    621/0 *** ( 213/0 )

    048/1 *** ( 330/0 )

    026/2 *** ( 595/0 ) Ln

    - 169/0 *** ( 0507/0 )

    - 298/0 *** ( 0801/0 )

    - 639/0 *** ( 148/0 )

    - 149/0 *** ( 0410/0 )

    - 264/0 *** ( 0661/0 )

    - 574/0 *** ( 127/0 ) Lne

    - 382/0 *** ( 0820/0 )

    - 645/0 *** ( 121/0 )

    - 395/1 *** ( 201/0 )

    - 341/0 *** ( 0650/0 )

    - 588/0 *** ( 0961/0 )

    - 267/1 *** ( 163/0 ) Lnk

    0206/0( 0163/0 )

    0328/0( 0251/0 )

    0743/0 * ( 0429/0 )

    0153/0( 0157/0 )

    0232/0( 0247/0 )

    0554/0( 0419/0 ) Lnpcs

    155/4 *** ( 011/1 )

    050/7 *** ( 472/1 )

    21/15 *** ( 363/2 )

    445/3 *** ( 852/0 )

    856/5 *** ( 281/1 )

    90/12 *** ( 122/2 )0

    Underidentification test

    0040/0 ***0040/0 ***0040/0 ***0035/0 ***0035/0 ***0035/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0015/0 ***0003/0 ***0000/0 ***0089/0 **0031/0 ***0006/0 *** Anderson-Rubin Wald test

    637/066/071/068/071/076/0Centered R2 83/087/092/0 85/0 89/0 93/0 Uncentered R2

    000/0000/0000/0 000/0 0006/0 000/0 F statistic 272727 27 27 27 Number of obs

    . :

  • / /74/ 1397

    10- 2SLS : )( :

    Atkinson2 Atkinson.5 P2 P1 P0 P2 P1 P0

    191/0 *** ( 0325/0 )

    263/0 *** ( 0549/0 )

    352/0 *** ( 112/0 )

    336/0 *** ( 120/0 )

    554/0 *** ( 183/0 )

    063/1 *** ( 326/0 ) Ln

    - 188/0 *** ( 0464/0 )

    - 319/0 *** ( 0791/0 )

    - 651/0 *** ( 165/0 )

    - 150/0 *** ( 0456/0 )

    - 267/0 *** ( 0721/0 )

    - 580/0 *** ( 135/0 ) Lne

    - 312/0 *** ( 0517/0 )

    - 545/0 *** ( 0874/0 )

    - 201/1 *** ( 178/0 )

    - 351/0 *** ( 0722/0 )

    - 604/0 *** ( 106/0 )

    - 298/1 *** ( 178/0 ) Lnk

    0276/0 *** ( 0102/0 )

    0465/0 *** ( 0173/0 )

    107/0 *** ( 0332/0 )

    0150/0( 0155/0 )

    0235/0( 0244/0 )

    0565/0( 0419/0 ) Lnpcs

    511/3 *** ( 537/0 )

    135/6 *** ( 914/0 )

    88/13 *** ( 770/1 )

    462/3 *** ( 867/0 )

    906/5 *** ( 300/1 )

    01/13 *** ( 159/2 )0

    Underidentification test

    0026/0 ***0026/0 ***0026/0 ***0029/0 ***0029/0 ***0029/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0000/0 ***0000/0 ***0000/0 ***0015/0 ***0003/0 ***0000/0 *** Anderson-Rubin Wald test

    70/068/067/066/070/075/0Centered R2 86/088/092/0 84/0 88/0 93/0 Uncentered R2

    000/0000/0000/0 000/0 000/0 000/0 F statistic 272727 27 27 27 Number of obs

    : .

  • 11- 2SLS : ) ( :

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index - 644/0 ( 544/0 )

    - 0143/0 ( 122/0 )

    - 398/0 ( 328/0 )

    - 308/0 ( 256/0 )

    - 176/0 ( 210/0 ) Ln

    470/0 * ( 261/0 )

    463/0( 299/0 )

    469/0 * ( 256/0 )

    482/0 * ( 264/0 )

    491/0 * ( 268/0 ) Lne

    575/0 ** ( 271/0 )

    561/0( 350/0 )

    580/0 ** ( 265/0 )

    592/0 ** ( 272/0 )

    599/0 ** ( 272/0 ) Lnk

    - 046/7 ** ( 830/2 )

    - 676/7 ** ( 402/3 )

    - 120/7 ** ( 779/2 )

    - 184/7 ** ( 796/2 )

    - 743/7 *** ( 691/2 )0

    Underidentification test

    0039/0 ***0043/0 ***0035/0 ***0038/0 ***0040/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0470/0 **0000/0 ***0463/0 **0450/0 **0363/0 ** Anderson-Rubin Wald test

    63/063/064/063/063/0Centered R2 99/0 99/0 99/0 99/0 99/0 Uncentered R2

    0000/0 000/0 0000/0 000/0 000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    12- 2SLS( : : )

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    - 419/0 ( 0696/0 )

    - 0745/0 ( 0951/0 )

    0231/0( 250/0 )

    0182/0( 197/0 )

    0148/0( 161/0 ) Ln

    305/0( 397/0 )

    276/0( 402/0 )

    317/0( 377/0 )

    318/0( 380/0 )

    320/0( 385/0 ) Lny

    - 200/0 *** ( 0217/0 )

    - 202/0 *** ( 0204/0 )

    - 200/0 *** ( 0201/0 )

    - 200/0 *** ( 0201/0 )

    - 200/0 *** ( 0202/0 ) Lnprice

    - 605/9 *** ( 274/1 )

    - 217/9 *** ( 925/0 )

    - 969/8 *** ( 019/1 )

    - 965/8 *** ( 049/1 )

    - 981/8 *** ( 941/0 )0

    Underidentification test

    0213/0 **0494/0 **0156/0 **0170/0 **0149/0 ** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0431/0 **0231/0 **0352/0 **0204/0 **0341/0 ** Anderson-Rubin Wald test

    88/086/088/088/088/0Centered R2 99/099/0 99/0 99/0 99/0 Uncentered R2

    000/0000/0 0000/0 000/0 0000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • 13- 2SLS : )( :

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    137/0( 187/0 )

    655/0( 473/0 )

    278/0( 306/0 )

    286/0( 391/0 )

    313/0( 495/0 ) Ln y

    - 0428/0 ( 124/0 )

    0713/0( 147/0 )

    - 0327/0 ( 195/0 )

    - 106/0 ( 254/0 )

    - 205/0 ( 326/0 ) Lne

    00347/0( 0172/0 )

    155/0( 122/0 )

    0104/0( 0287/0 )

    0160/0( 0363/0 )

    0357/0( 0479/0 ) Lny

    2

    377/0( 430/0 )

    - 156/0 ( 774/0 )

    379/0( 691/0 )

    814/0( 887/0 )

    372/1( 135/1 ) Lng

    - 0572/0 *** ( 0165/0 )

    - 0115/0 ( 0722/0 )

    - 106/0 *** ( 0258/0 )

    - 116/0 *** ( 0335/0 )

    - 122/0 *** ( 0436/0 ) Lnpcs

    - 447/1 ( 465/1 )

    - 0629/0 ( 941/1 )

    - 987/1 ( 337/2 )

    - 364/3 ( 018/3 )

    - 635/3 ( 856/3 )0

    Underidentification test

    0109/0 **0110/0 **0107/0 **0106/0 **0109/0 ** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    048/0 **0339/0 **0439/0 **0321/0 **0441/0 ** Anderson-Rubin Wald test

    49/043/058/050/042/0Centered R2 99/097/099/099/099/0Uncentered R2

    0000/0000/0 000/0 000/0 000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    14- 2SLS : )( :

    Theil index Gini P2 P1 P0 P2 P1 P0

    256/0 ** ( 116/0 )

    415/0 ** ( 178/0 )

    777/0 ** ( 306/0 )

    490/0 * ( 282/0 )

    783/0 * ( 442/0 )

    406/1 * ( 812/0 ) Ln

    - 0882/0 ( 129/0 )

    - 117/0 ( 210/0 )

    - 191/0 ( 416/0 )

    - 0508/0 ( 118/0 )

    - 0562/0 ( 194/0 )

    - 0756/0 ( 387/0 ) Lne

    - 271/0 * ( 141/0 )

    - 425/0 * ( 222/0 )

    - 852/0 ** ( 408/0 )

    - 221/0 * ( 126/0 )

    - 344/0 * ( 201/0 )

    - 698/0 * ( 372/0 ) Lnk

    0290/0( 0199/0 )

    0455/0( 0309/0 )

    0982/0 * ( 0537/0 )

    0240/0( 0179/0 )

    0379/0( 0280/0 )

    0860/0 * ( 0501/0 ) Lnpcs

    343/3 ** ( 347/1 )

    421/5 *** ( 065/2 )

    40/11 *** ( 501/3 )

    714/2 ** ( 140/1 )

    412/4 ** ( 765/1 )

    568/9 *** ( 010/3 )0

    Underidentification test

    0040/0 ***0040/0 ***0040/0 ***0039/0 **0039/0 **0039/0 ** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0367/0 **0336/0 **0359/0 **0260/0 **0230/0 **0220/0 ** Anderson-Rubin Wald test

    50/052/060/054/057/064/0Centered R2 76/081/089/0 79/0 83/0 90/0 Uncentered R2

    000/0000/0000/0 000/0 006/0 000/0 F statistic 272727 27 27 27 Number of obs

    : .

  • 15- 2SLS : )( :

    Atkinson2 Atkinson.5 P2 P1 P0 P2 P1 P0

    272/0 *** ( 0484/0 )

    406/0 *** ( 0823/0 )

    646/0 *** ( 167/0 )

    305/0 ** ( 138/0 )

    495/0 ** ( 210/0 )

    927/0 *** ( 359/0 ) Ln

    00400/0( 136/0 )

    0264/0( 231/0 )

    0581/0( 473/0 )

    - 0656/0 ( 122/0 )

    - 0803/0 ( 199/0 )

    - 122/0 ( 392/0 ) Lne

    - 0808/0 ( 133/0 )

    - 133/0 ( 226/0 )

    - 357/0 ( 454/0 )

    - 242/0 * ( 131/0 )

    - 379/0 * ( 207/0 )

    - 765/0 ** ( 378/0 ) Lnk

    0260/0 * ( 0148/0 )

    0424/0 * ( 0254/0 )

    0983/0 * ( 0517/0 )

    0223/0( 0177/0 )

    0346/0( 0276/0 )

    0779/0( 0483/0 ) Lnpcs

    741/1( 089/1 )

    000/3( 861/1 )

    461/7 ** ( 715/3 )

    724/2 ** ( 164/1 )

    417/4 ** ( 794/1 )

    525/9 *** ( 042/3 )0

    Underidentification test

    0043/0 **0043/0 **0043/0 **0041/0 ***0041/0 ***0041/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0000/0 ***0000/0 ***0000/0 ***0324/00412/0 **0359/0 ** Anderson-Rubin Wald test

    65/063/062/053/056/062/0Centered R2 84/086/090/0 87/0 83/0 90/0 Uncentered R2

    000/0000/0000/0 000/0 000/0 000/0 F statistic 272727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    16- 2SLS : )( :

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index 0629/0

    ( 358/0 )- 110/0 ** ( 0442/0 )

    0669/0( 228/0 )

    - 0516/0 ( 176/0 )

    - 0412/0 ( 140/0 ) Ln

    111/0( 0911/0 )

    124/0 * ( 0697/0 )

    106/0( 0971/0 )

    108/0( 0930/0 )

    110/0( 0878/0 ) Lne

    102/0 ** ( 0517/0 )

    0593/0( 0452/0 )

    107/0 * ( 0565/0 )

    106/0 ** ( 0540/0 )

    106/0 ** ( 0539/0 ) Lnk

    - 559/3 *** ( 957/0 )

    - 971/2 *** ( 913/0 )

    - 608/3 *** ( 010/1 )

    - 583/3 *** ( 964/0 )

    - 634/3 *** ( 053/1 )0

    Underidentification test

    0023/0 ***0083/0 ***0028/0 ***0034/0 ***0026/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0240/0 **000/0 ***0150/0 **0153/0 **0157/0 ** Anderson-Rubin Wald test

    82/082/083/083/082/0Centered R2 99/0 99/0 99/0 99/0 99/0 Uncentered R2

    0000/0 000/0 0000/0 000/0 000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • 17- 2SLS : )( :

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    065/1( 752/0 )

    - 0806/0 ( 0963/0 )

    0956/0 *** ( 353/0 )

    767/0 *** ( 278/0 )

    632/0 *** ( 236/0 ) Ln

    447/1 *** ( 347/0 )

    503/1 *** ( 429/0 )

    389/1 *** ( 379/0 )

    436/1 *** ( 368/0 )

    522/1 *** ( 383/0 ) Lny

    - 127/0 ** ( 0521/0 )

    - 115/0 ** ( 0571/0 )

    - 126/0 ** ( 0531/0 )

    - 135/0 *** ( 0523/0 )

    - 141/0 *** ( 0524/0 ) Lnprice

    223/2 * ( 226/1 )

    661/0( 952/0 )

    834/2 ** ( 175/1 )

    088/3 ** ( 205/1 )

    479/2 ** ( 071/1 )0

    Underidentification test

    0032/0 ***0207/0 **0030/0 ***0025/0 ***0002/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0000/0 ***0000/0 ***0000/0 ***000/0 ***0000/0 *** Anderson-Rubin Wald test

    80/078/079/080/078/0Centered R2 99/099/0 99/0 99/0 99/0 Uncentered R2

    000/0000/0 0000/0 000/0 0000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    18- 2SLS : )( :

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    0711/0( 189/0 )

    727/0( 615/0 )

    162/0( 309/0 )

    234/0( 418/0 )

    430/0( 594/0 ) Ln y

    125/0 *** ( 0458/0 )

    - 174/0 ( 158/0 )

    156/0 * ( 0835/0 )

    207/0 ** ( 102/0 )

    201/0( 143/0 ) Lne

    00922/0( 0177/0 )

    146/0( 122/0 )

    0151/0( 0294/0 )

    0297/0( 0387/0 )

    0612/0( 0542/0 ) Lny

    2

    629/0 *** ( 201/0 )

    - 463/0 ( 601/0 )

    767/0 ** ( 376/0 )

    106/1 ** ( 442/0 )

    294/1 ** ( 594/0 ) Lng

    - 0578/0 *** ( 0106/0 )

    - 0115/0 ( 0731/0 )

    - 108/0 *** ( 0168/0 )

    - 115/0 *** ( 0236/0 )

    - 114/0 *** ( 0351/0 ) Lnpcs

    - 631/0 * ( 366/0 )

    - 356/1 * ( 754/0 )

    - 248/1 ** ( 590/0 )

    - 543/1 * ( 788/0 )

    - 494/0 ( 073/0 )0

    Underidentification test

    0021/0 ***0021/0 ***0021/0 ***0021/0 ***0021/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0051/0 ***0487/0 **0424/0 **0243/0 **0431/0 ** Anderson-Rubin Wald test

    55/043/061/054/046/0Centered R2 99/097/099/099/099/0Uncentered R2

    0000/0000/0 000/0 000/0 000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • 19- 2SLS : ) ( :

    Theil index Gini P2 P1 P0 P2 P1 P0 144/0

    ( 105/0 )232/0

    ( 163/0 )416/0

    ( 299/0 )325/0

    ( 282/0 )536/0

    ( 441/0 )910/0

    ( 814/0 ) Ln

    - 0952/0 * ( 0514/0 )

    - 170/0 ** ( 0837/0 )

    - 363/0 ** ( 168/0 )

    - 0872/0 ( 0541/0 )

    - 158/0 * ( 0887/0 )

    - 346/0 * ( 179/0 ) Lne

    - 128/0 * ( 0659/0 )

    - 207/0 ** ( 0985/0 )

    - 439/0 *** ( 168/0 )

    - 124/0 * ( 0650/0 )

    - 199/0 ** ( 0974/0 )

    - 421/0 ** ( 165/0 ) Lnk

    0343/0( 0212/0 )

    0565/0 * ( 0324/0 )

    124/0 ** ( 0575/0 )

    0304/0( 0193/0 )

    0505/0 * ( 0300/0 )

    115/0 ** ( 0550/0 ) Lnpcs

    511/1( 115/1 )

    351/2( 679/1 )

    167/5 * ( 933/2 )

    326/1( 002/1 )

    052/2( 513/1 )

    595/4 * ( 594/2 )0

    Underidentification test

    0046/0 ***0046/0 ***0046/0 ***0023/0 ***0023/0 ***0023/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0058/00018/0 ***0003/0 ***0136/0 **0052/0 ***0018/0 *** Anderson-Rubin Wald test

    54/058/065/057/061/067/0Centered R2 79/084/090/0 80/0 85/0 91/0 Uncentered R2

    000/0000/0000/0 000/0 0006/0 000/0 F statistic 272727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    20- 2SLS : )( :

    Atkinson2 Atkinson.5 P2 P1 P0 P2 P1 P0

    255/0 *** ( 0215/0 )

    372/0 *** ( 0371/0 )

    576/0 *** ( 0804/0 )

    230/0( 0159/0 )

    361/0( 0243/0 )

    - 639/0 ( 0428/0 ) Ln

    - 137/0 *** ( 0340/0 )

    - 236/0 *** ( 0583/0 )

    - 476/0 *** ( 122/0 )

    - 769/0 ( 0555/0 )

    - 143/0 ( 0902/0 )

    - 315/0 * ( 179/0 ) Lne

    - 00895/0 ( 0207/0 )

    - 0279/0 ( 0368/0 )

    - 150/0 ** ( 0733/0 )

    - 137/0 * ( 0709/0 )

    - 219/0 ** ( 106/0 )

    -461/0 ***

    ( 177/0 ) Lnk

    0337/0 *** ( 0104/0 )

    057/0 *** ( 0176/0 )

    128/0 *** ( 0364/0 )

    0268/0( 0190/0 )

    0451/0( 0297/0 )

    104/0 * ( 0551/0 ) Lnpcs

    - 170/0 ( 452/0 )

    - 161/0 ( 792/0 )

    114/1( 550/1 )

    395/1( 029/1 )

    153/2( 549/1 )

    800/4 * ( 657/2 )0

    Underidentification test

    0083/0 ***0083/0 ***0083/0 ***0034/0 ***0034/0 ***0034/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    000/0 ***000/0 ***0000/0 ***0041/0 ***0012/0 ***0002/0 *** Anderson-Rubin Wald test

    75/073/072/055/060/066/0Centered R2 88/090/092/0 79/0 85/0 91/0 Uncentered R2

    000/0000/0000/0 000/0 000/0 000/0 F statistic 272727 27 27 27 Number of obs

    : .

  • 21- 2SLS : )( :

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index 108/0

    ( 306/0 )- 156/0 *** ( 0419/0 )

    110/0( 215/0 )

    0865/0( 170/0 )

    0707/0( 140/0 ) Ln

    350/0 ** ( 142/0 )

    320/0 ** ( 135/0 )

    348/0 ** ( 143/0 )

    354/0 ** ( 143/0 )

    363/0 ** ( 145/0 ) Lne

    269/0( 180/0 )

    281/0 * ( 169/0 )

    263/0( 183/0 )

    271/0( 184/0 )

    279/0( 187/0 ) Lnk

    376/3( 470/3 )

    199/3( 326/3 )

    357/3( 610/3 )

    527/3( 678/3 )

    591/3( 722/3 )0

    Underidentification test

    0077/0 ***0058/00078/0 ***0089/0 ***0130/0 ** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0008/0 ***0000/00015/0 ***0016/0 ***0017/0 *** Anderson-Rubin Wald test

    72/075/072/071/070/0Centered R2 99/0 99/0 99/0 99/0 99/0 Uncentered R2

    0000/0 000/0 0000/0 000/0 000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    22- 2SLS( : : )

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    - 489/1 ( 120/1 )

    - 237/0 ( 232/0 )

    - 704/0 ( 650/0 )

    - 555/0 ( 516/0 )

    - 441/0 ( 411/0 ) Ln

    383/1 * ( 833/0 )

    334/1( 866/0 )

    431/1 * ( 817/0 )

    397/1 * ( 833/0 )

    368/1( 842/0 ) Lny

    197/0( 132/0 )

    991/0( 141/0 )

    167/0( 131/0 )

    168/0( 131/0 )

    156/0( 127/0 ) Lnprice

    411/0( 774/2 )

    224/2( 049/2 )

    014/1( 726/2 )

    905/0( 807/2 )

    521/1( 395/2 )0

    Underidentification test

    0040/0 ***0085/00001/00001/00004/0Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0089/0 ***0348/00140/00142/00141/0Anderson-Rubin Wald test

    72/071/072/072/072/0Centered R2 99/0 99/0 99/0 99/0 99/0 Uncentered R2

    000/0000/0 0000/0 000/0 0000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • 23- : ) : (

    204/0214/0

    610/0484/0

    339/0327/0

    466/0452/0

    673/0615/0

    0127/00652/0

    307/0181/0

    0312/0102/0

    0298/0135/0

    100/0184/0

    00961/00197/0

    122/0113/0

    0118/00307/0

    0262/00411/0

    0520/00549/0

    327/0530/0

    370/2355/1

    0127/0848/0

    198/0101/1

    160/0489/1

    0550/00136/0

    00784/00730/0

    103/00203/0

    109/00285/0

    106/00404/0

    850/0443/0

    538/1771/0

    599/1696/0

    990/1937/0

    048/1255/1

    0089/00084/00085/00087/00088/0

    0365/00219/00339/00457/00476/0

    48/048/059/050/046/099/098/099/099/099/0

    0000/0000/0 000/0 000/0 000/0 2727 27 27 27

    : .

  • / /74/ 1397

    24- 2SLS : ) ( :

    Theil index Gini P2 P1 P0 P2 P1 P0 239/0 *

    ( 125/0 )387/0 **

    ( 188/0 )720/0 **

    ( 324/0 )429/0

    ( 264/0 )702/0 *

    ( 404/0 )266/1 *

    ( 712/0 ) Ln

    - 0508/0 ( 0592/0 )

    - 106/0 ( 0958/0 )

    - 260/0 ( 190/0 )

    - 0513/0 ( 0570/0 )

    - 106/0 ( 0923/0 )

    - 262/0 ( 184/0 ) Lne

    - 131/0 ( 117/0 )

    - 192/0 ( 178/0 )

    - 361/0 ( 314/0 )

    - 113/0 ( 108/0 )

    - 162/0 ( 164/0 )

    - 305/0 ( 291/0 ) Lnk

    0191/0( 0212/0 )

    0284/0( 0321/0 )

    0615/0( 0568/0 )

    0174/0( 0191/0 )

    0256/0( 0287/0 )

    0574/0( 0496/0 ) Lnpcs

    657/1( 030/2 )

    250/2( 098/3 )

    114/4( 560/5 )

    264/1( 805/1 )

    611/1( 744/2 )

    941/2( 918/4 )0

    Underidentification test

    0002/0 ***0002/0 ***0002/0 ***0003/0 ***0003/0 ***0003/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0012/0 ***0003/0 ***0000/0 ***0209/0 **0080/0 ***0041/0 *** Anderson-Rubin Wald test

    48/053/061/055/060/066/0Centered R2 76/082/090/0 79/0 84/0 91/0 Uncentered R2

    000/0000/0000/0 000/0 0006/0 000/0 F statistic 272727 27 27 27 Number of obs

    : .

  • 25- 2SLS : )( :

    Atkinson2 Atkinson.5 P2 P1 P0 P2 P1 P0

    284/0 *** ( 0257/0 )

    421/0 *** ( 0445/0 )

    675/0 *** ( 0965/0 )

    289/0 ** ( 147/0 )

    468/0 ** ( 222/0 )

    870/0 ** ( 378/0 ) Ln

    - 128/0 ** ( 0511/0 )

    - 222/0 *** ( 0862/0 )

    - 451/0 ** ( 182/0 )

    - 458/0 ( 0575/0 )

    - 0978/0 *** ( 030/0 )

    - 245/0 ** ( 083/0 ) Lne

    0796/0( 0540/0 )

    127/0( 0913/0 )

    165/0( 203/0 )

    - 129/0 ( 112/0 )

    - 188/0 ( 170/0 )

    - 354/0 ( 298/0 ) Lnk

    0117/0( 00998/0 )

    0190/0( 0162/0 )

    0512/0( 0337/0 )

    0144/0 ( 0186/0 )

    0208/0( 0281/0 )

    0474/0( 0495/0 ) Lnpcs

    - 411/1 ( 064/1 )

    - 338/2 ( 789/1 )

    - 340/3 ( 932/3 )

    301/1( 801/1 )

    674/1( 744/2 )

    043/3( 904/4 )0

    Underidentification test

    0310/0 **0312/0 **0311/0 **0021/0 ***0020/0 ***0022/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0000/0 ***0000/0 ***0000/0 ***0012/0 ***0003/0 ***000/0 *** Anderson-Rubin Wald test

    75/074/073/052/057/065/0Centered R2 88/090/093/0 78/0 83/0 90/0 Uncentered R2

    000/0000/0000/0 000/0 000/0 000/0 F statistic 272727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    26- 2SLS : )( :

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index 122/0

    ( 289/0 )- 132/0 *** ( 0417/0 )

    126/0( 199/0 )

    0990/0( 157/0 )

    0811/0( 130/0 ) Ln

    112/0 ** ( 0440/0 )

    104/0 ** ( 0432/0 )

    112/0 ** ( 0447/0 )

    114/0 ** ( 0447/0 )

    117/0 *** ( 0450/0 ) Lne

    169/0( 141/0 )

    187/0( 133/0 )

    163/0( 144/0 )

    170/0( 145/0 )

    177/0( 147/0 ) Lnk

    725/1( 790/2 )

    661/1( 702/2 )

    719/1( 946/2 )

    877/1( 993/2 )

    904/1( 016/3 )0

    Underidentification test

    0035/0 ***0035/0 ***0040/0 ***0053/0 ***0096/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0008/0 ***0000/0 ***0019/0 ***0017/0 ***0017/0 *** Anderson-Rubin Wald test

    73/075/074/073/072/0Centered R2 99/0 99/0 99/0 99/0 99/0 Uncentered R2

    0000/0 000/0 0000/0 000/0 000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • 27- 2SLS( : : )

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    - 140/2 ( 058/3 )

    - 999/0 * ( 553/0 )

    - 668/0 ( 103/2 )

    - 529/0 ( 669/1 )

    - 432/0 ( 365/1 ) Ln

    996/6 *** ( 561/1 )

    548/6 *** ( 372/1 )

    924/6 *** ( 496/1 )

    871/6 *** ( 489/1 )

    803/6 *** ( 502/1 ) Lny

    - 703/0 ( 486/0 )

    - 830/0 ( 552/0 )

    - 715/0 ( 500/0 )

    - 709/0 ( 504/0 )

    - 706/0 ( 507/0 ) Lnprice

    96/12 ** ( 947/5 )

    70/13 *** ( 468/4 )

    23/14 ** ( 511/6 )

    05/14 ** ( 938/9 )

    47/14 ** ( 102/6 )0

    Underidentification test

    0011/0 ***0024/0 ***0009/0 ***0007/0 ***0005/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0000/0 ***000/0 ***000/0 ***000/0 ***000/0 *** Anderson-Rubin Wald test

    67/068/068/068/068/0Centered R2 99/0 99/0 99/0 99/0 99/0 Uncentered R2

    000/0000/0 0000/0 000/0 0000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    28- 2SLS : ) ( :

    Gini Atkinson.2Atkinson.1Atkinson.5 Theil index

    204/0( 209/0 )

    489/0( 458/0 )

    318/0( 317/0 )

    442/0( 439/0 )

    612/0( 0592/0 ) Ln y

    - 00675/0 ( 0304/0 )

    - 101/0 ( 0739/0 )

    - 0261/0 ( 0483/0 )

    - 0360/0 ** ( 0114/0 )

    - 0762/0 ** ( 0394/0 ) Lne

    00672/0( 0196/0 )

    119/0( 113/0 )

    00714/0( 0304/0 )

    0187/0( 0404/0 )

    0392/0( 0530/0 ) Lny

    2

    0779/0( 662/0 )

    - 097/2 ( 494/1 )

    - 305/0 ( 064/1 )

    - 345/0 ( 338/1 )

    - 015/1 ( 731/1 ) Lng

    - 0552/0 *** ( 0143/0 )

    - 0242/0 ( 0700/0 )

    - 106/0 *** ( 0216/0 )

    - 112/0 *** ( 0299/0 )

    - 115/0 *** ( 0419/0 ) Lnpcs

    - 933/0 ** ( 462/0 )

    - 951/1 ** ( 885/0 )

    - 787/1 ** ( 729/0 )

    - 271/2 ** ( 968/0 )

    - 581/1 ( 283/1 )0

    Underidentification test

    0075/0 ***0073/0 ***0070/0 ***0074/0 ***0075/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0431/0 **0387/0 **0298/0 **0329/0 **025/0 ** Anderson-Rubin Wald test

    49/043/059/051/046/0Centered R2 99/097/099/099/099/0Uncentered R2

    0000/0000/0 000/0 000/0 000/0 F statistic 2727 27 27 27 Number of obs

    : .

  • 29- 2SLS : )( :

    Theil index Gini P2 P1 P0 P2 P1 P0 192/0 *

    ( 103/0 )316/0 **

    ( 157/0 )593/0 **

    ( 276/0 )427/0 *

    ( 260/0 )700/0 *

    ( 397/0 )265/1 *

    ( 697/0 ) Ln

    - 0231/0 ( 0184/0 )

    - 0454/0 ( 0297/0 )

    - 105/0 * ( 0585/0 )

    - 0219/0 ( 0177/0 )

    - 0435/0 ( 0286/0 )

    - 101/0 * ( 0564/0 ) Lne

    - 120/0 ( 0988/0 )

    - 179/0 ( 149/0 )

    - 357/0 ( 257/0 )

    - 111/0 ( 0923/0 )

    - 164/0 ( 139/0 )

    - 327/0 ( 238/0 ) Lnk

    0179/0( 0225/0 )

    0257/0( 0339/0 )

    0552/0( 0589/0 )

    0144/0( 0193/0 )

    0201/0( 0290/0 )

    0461/0( 0497/0 ) Lnpcs

    488/1( 762/1 )

    262/2( 661/2 )

    060/4( 651/4 )

    177/1( 533/1 )

    552/1( 309/2 )

    136/3( 994/3 )0

    Underidentification test

    0002/0 ***0002/0 ***0002/0 ***0005/0 ***0003/0 ***0004/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    0004/0 ***0001/0 ***0000/0 ***0047/0 ***0011/0 ***0004/0 *** Anderson-Rubin Wald test

    50/055/063/055/060/067/0Centered R2 77/083/090/0 79/0 84/0 91/0 Uncentered R2

    001/0000/0000/0 000/0 0006/0 000/0 F statistic 272727 27 27 27 Number of obs

    : .

  • / /74/ 1397

    30- 2SLS : )( :

    Atkinson2 Atkinson.5 P2 P1 P0 P2 P1 P0

    274/0 *** ( 0269/0 )

    405/0 *** ( 0463/0 )

    642/0 *** ( 0985/0 )

    288/0 ** ( 144/0 )

    467/0 ** ( 217/0 )

    871/0 ** ( 368/0 ) Ln

    - 459/0 *** ( 0169/0 )

    - 0791/0 *** ( 0285/0 )

    - 159/0 *** ( 0589/0 )

    - 0208/0 ( 0178/0 )

    - 0416/0 ( 0288/0 )

    - 0978/0 * ( 0561/0 ) Lne

    0542/0( 0459/0 )

    0814/0( 0781/0 )

    0678/0( 168/0 )

    - 123/0 ( 0957/0 )

    - 185/0 ( 144/0 )

    - 366/0 ( 244/0 ) Lnk

    00800/0( 0113/0 )

    0127/0( 0186/0 )

    0392/0( 0377/0 )

    0112/0( 0188/0 )

    0151/0( 0285/0 )

    0355/0( 0496/0 ) Lnpcs

    - 043/1 ( 943/0 )

    - 678/1 ( 590/1 )

    - 882/1 ( 377/3 )

    152/1( 515/1 )

    515/1041/30

    Underidentification test

    021/0 **019/0 **018/0 **0012/0 ***0011/0 ***0012/0 *** Kleibergen-Paap rk LM statistic

    Weak-instrument-robust inference

    000/0 ***000/0 ***0000/0 ***0002/0 ***000/0 ***000/0 *** Anderson-Rubin Wald test

    76/074/074/053/057/065/0Centered R2 89/090/093/0 78/0 84/0 91/0 Uncentered R2

    000/0000/0000/0 000/0 000/0 000/0 F statistic 272727 27 27 27 Number of obs

    : .