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« 19 61 147-117.
Ahluwalia, M. (1976a), “Income Distribution and Development: Some Stylized Facts”, American Economic Review Papers and Proceedings, vol. 66, pp.128-135.
Ahluwalia, M. (1976b), “Inequality, Poverty and Development”, Journal of Development Economics, vol. 3, no.4, PP. 307-342.
Alesina, A. and Perotti, R. (1996), “Income Distribution, Political Instability and Investment”, European Economic Review, vol. 40, no. 6, pp. 1203–28
Anand, S., and Kanbur, S. (1993a), “The Kuznets Process and Inequality- Development Relationship”, Journal of Development Economics, vol. 40, pp. 25-52.
Anand, S., and Kanbur, S. (1993b), “Inequality and Development: A Critique,” Journal of Development Economics, vol. 41, pp.19-43.
Atkinson, A. (1970), “On the Measurement of Inequality.” Journal of Economic Theory, vol. 2, pp.244-263
Atkinson, A. (1987), “On the Measurement of Poverty.” Econometrica, vol. 55, pp.749-764.
Babu, M., Bhaskaran, V., Venkatesh, M. (2016), “Does inequality Hamper Long Run Growth? Evidence from Emerging Economies”, Economic Analysis and Policy, vol. 52, pp. 99–113
Barnes, D., and Qian, U. (1992), “Urban Interfuel Substitution, Energy Use and Equity in Developing Countries”, Energy series Paper 53 World Bank.
Barnes, D., and W. Floor (1999), “Biomass Energy and the Poor in Developing Countries.” Journal of international Affairs, vol. 53, pp. 237-259
Barnes, D., K. Fitzgerald, and H. Peskin (2002), “The Benefits of Rural Electrification in India: Implications for Education, Household Lighting, and Irrigation”. Journal of international Affairs, vol. 43, pp. 217-239
Bourguignon, F. (2004), “The Poverty-Growth-Inequality Triangle.” in Indian council for Research on International Economic Relations. New Delhi
Bourguignon, F. (1996), “Comment on Inequality, Poverty and Growth: Where do we Stand”, Annual World Bank Conference on Development Economics, The World Bank, pp.46–9
Bourguignon, F., and Morrison, C. (1998), “Inequality and Development: The Role of Dualism.” Journal of Development Economics, vol. 57, pp. 233-257.
Bourguignon, F., and Chakravarty, S. (2003), “The Measurement of Multidimensional Poverty.” Journal of Economic Inequality, vol. 1, pp.25-49.
Bourguignon, F., Lustig, F., and Ferreira, N. (2005), “The Microeconomics of Income Distribution Dynamics in East Asia and Latin America”, Oxford, NY: Oxford University Press.
Bruno, M., L. Squire, and M. Ravallion. (1998), “Equity and Growth in Developing Countries: Old and New Perspectives on the Policy Issues”, Policy research working paper, world bank.
Chan, K., Zhou, X., Panc, Z. (2014), “The Growth and Inequality Nexus: The Case of China”, International Review of Economics and Finance, vol. 34, pp. 230–236
Davis, M. (1998), “Rural Household Energy Consumption: The Effects of Access to Electricity - Evidence from South Africa,” Energy Policy, vol. 26, pp. 207-217.
DME(2005b), “Energy Price Report, Energy Planning and Development”, Government of South Africa
DME, and ERC. (2002), “Energy Outlook for South Africa”, Government of South Africa.
Dollar, D., and A. Kraay (2002), “Growth is Good for the Poor.” Journal of Economic Growth, vol. 7, pp. 195-225.
Douglas Barnes and Willem Floor (1996), “Rural Energy in Developing Countries: A Challenge for Economic Development”, Annual Review Energy Environment, vol. 21, pp.497-530
Energy Sector Management Assistance Programme (ESMAP), 2000
/ /74/ 1397
Energy Sector Management Assistance Programme (ESMAP), 2006 ESMAP (UNDP/World Bank Energy Sector Management Assistance Pro-
gramme). (2005a), Advancing Bioenergy for Sustainable Development: Guideline for Policymakers and Investors. Report 300/05. World Bank: Washington, DC, USA
Foster, J., Greer, J. and Thorbecke, E. (1984), “A Class of Decomposable Poverty Measures,” Econometrica, vol. 52, pp.761-766.
Greene, William H. (2008), “Econometric Analysis”, 6th Edition, Upper Saddle River, NJ: Prentice-Hall.
Honohan, Patrick(2004a), “Financial Development, Growth and Poverty: How Close are the Links?”, World Bank Policy Research, Working Paper 3203, world bank.
Jalilian Hossein and Kirkpatrick Colin. (2005), “Does Financial Development Contribute to Poverty Reduction?”, Journal of Development Studies, vol. 41, May, pp. 636-656
Judge, Georege, R. Carter Hill, William. E. Griffiths, Helmut Lutkepohl, &Tsoung-Chao Lee (1988), “Introduction to The Theory and Practice of Econometrics”, 2nd ed., John Wiley & Sons, Inc., New York, USA; pp.456-461.
Kakwani, N. (1980), “Income Inequality and Poverty: Methods of Estimation and Policy Applications”, Oxford, NY: Oxford University Press.
Kakwani, N., and E. Pernia. (2000), “What is Pro-Poor Growth.” Asian Development Review, vol. 16, pp. 1-22.
Kander, A., and Schon, L. (2005), “The Energy, Capital Relation, Sweden 1870-2000” in Sixth Conference of European Economic Society, September. Istanbul
Karekezi, Stephen (2002), “Poverty and Energy in Africa: A Brief Review”, Energy Policy, vol. 30, pp.915–919
Karekezi. S. and Kithoma. W. (2002), “Renewable Energy Strategies for Rural Africa: is a PV-led Renewable Energy Strategy the Right Approaches for Providing Modern Energy to the Rural Poor of Sub-Saharan Africa”, Energy Policy, vol. 30, pp.1071-1086.
Khandker, Shahidur R., Barnes, Douglas, F. and Samad, Hussain (2012),” Are the energy poor also income poor? Evidence from India”, Energy Policy, vol. 47, pp.1–12.
Kuznets, S. (1955), “Economic Growth and Income Inequality.” American Economic Review, vol. 45, pp.1-28.
Lallement, D. (2005), “Energy as a Llinchpin for Poverty Reduction”, Washington D.C: ESMAP, World Bank.
Li, T., T. Lai, J., Wang, Y., and Zhaoa, D. (2016), “Long-run Relationship Between Inequality and Growth in Post-reform China: New Evidence from Dynamic Panel Model”, International Review of Economics and Finance, vol. 41, pp.238–252.
Lin, Cynthia. (2011), “Estimating Supply and Demand in the World Oil Market”, the Journal of Energy and Development, vol. 34, no.1, pp. 24-45
Lutkepohl, H. (1993), “Introduction to Multiple Time Series Analysis”, 2nd. Springer-Verlag.
Muawya Ahmed Husseinand Walter Leal Filho (2012), “Analysis of Energy as a Precondition Forimprovement of Living Conditions and Povertyreduction in Sub-Saharan Africa”, Scientific Research and Essays, Vol. 7, no. 30, pp. 2656-2666
Muinelo- Gallo, L., Roca-Sagalés, O. (2013), “Joint Determinants of Fiscal Policy, Income Inequality and Economic Growth”, Economic Modelling, vol. 30, pp.814–824.
Nicholas N. (2011), “Exploring the Impact of Energy Sources on Production, Inequality and Poverty in Simultaneous Equations Models for South Africa”, African Development Review, Vol. 23, no. 3, pp. 335–351.
Nkomo, J. C. (2007), “Energy Use, Poverty and Development in the SADC”, Journal of Energy in Southern Africa, Vol. 18, no. 3, pp. 14-38
Polemis, M. (2006), “Empirical Assessment of the Determinants of RoadEnergy Demand in Greece,” Energy Economics, vol. 28, pp. 385-403
Prasad, G. (2006), “Energy Sector Reform and the Poor: Energy Use and Supply: A Four Country Study: Botswana, Ghana, Honduras & Senegal”, ESMAP Technical Paper 095 ESMAP.
Ravallion, M., and Chen, S. (2003), “Measuring Pro-Poor Growth”, Economics Letters, vol. 78, pp.93-99.
Shin, Inyong (2012), “Income Inequality and Economic Growth”, Economic Modelling, vol. 29, pp.2049–2057.
Son, H. (2004), “A note on Pro-Poor Growth.” Economic Letters, vol. 82, pp.307-314.
Son, H., and Kakwani, N. (2008), “Global Estimates of Pro-Poor Growth”, World Development, vol. 36, no.6, pp. 1048-1066
U.N. (2000), “Implementation of the United Nations Millennium Declaration:
/ /74/ 1397
Report of the Secretary General”, Report No. A/57/270 United Nat. UNU-WIDER. (2008), “The Poverty-Growth-Inequality Triangle in China”,
World Institute for Development Economic Research of the United Nations University, United Nations, New York.
World Bank. (2008a), “Designing Sustainable Off-Grid Rural Electrification Projects: Principles and Practices”, Washington DC: World Bank tors. Washington D.C: World Bank.
World Bank. (2001), “World Bank Group’s Energy Program, Poverty Reduction, Sustainability and Selectivity”, Washington D.C: World Bank Energy and Mining Sector Board.
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
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- 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 )
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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
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2- 2SLS( : : )
Gini Atkinson.2Atkinson.1Atkinson.5 Theil index
135/0( 392/0 )
0717/0( 0491/0 )
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- 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
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statistic Weak-instrument-robust
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test466/0389/0537/046/0377/0Centered R2
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467/0 *** ( 157/0 )
902/0 *** ( 266/0 )
529/0 ** ( 231/0 )
888/0 ** ( 346/0 )
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- 424/0 *** ( 141/0 )
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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
: .