Simultaenous Systems and 2SLS Thursday November 8 15:45:39 2012 Page 1 ___ ____ ____ ____ ____(R) /__ / ____/ / ____/ ___/ / /___/ / /___/ Statistics/Data Analysis User: Prof. Erdinc, ECO 311 Project: Simultaenous Systems and 2SLS{space -7} name: log: log type: opened on: <unnamed> C:\Users\didar\Desktop\ECO 311\2SLSEstimation_MROZ.smcl smcl 8 Nov 2012, 15:39:00 1 . ivreg2 hours (lwage= exper expersq) educ age kidslt6 nwifeinc IV (2SLS) estimation Estimates efficient for homoskedasticity only Statistics consistent for homoskedasticity only Total (centered) SS Total (uncentered) SS Residual SS = = = hours Coef. lwage educ age kidslt6 nwifeinc _cons 1639.556 -183.7513 -7.806092 -198.1543 -10.16959 2225.662 Number of obs F( 5, 422) Prob > F Centered R2 Uncentered R2 Root MSE 257311019.9 983895094 773893123.1 Std. Err. 467.2656 58.68409 9.312048 181.6424 6.568215 570.5226 z P>|z| 3.51 -3.13 -0.84 -1.09 -1.55 3.90 0.000 0.002 0.402 0.275 0.122 0.000 = = = = = = 428 3.44 0.0046 -2.0076 0.2134 1345 [95% Conf. Interval] 723.7318 -298.77 -26.05737 -554.1669 -23.04306 1107.458 2555.379 -68.73257 10.44519 157.8583 2.703873 3343.866 18.164 0.0001 Underidentification test (Anderson canon. corr. LM statistic): Chi-sq(2) P-val = 9.329 19.93 11.59 8.75 7.25 Weak identification test (Cragg-Donald Wald F statistic): Stock-Yogo weak ID test critical values: 10% maximal IV size 15% maximal IV size 20% maximal IV size 25% maximal IV size Source: Stock-Yogo (2005). Reproduced by permission. 0.862 0.3531 Sargan statistic (overidentification test of all instruments): Chi-sq(1) P-val = Instrumented: lwage Included instruments: educ age kidslt6 nwifeinc Excluded instruments: exper expersq 2 . 3 . *// Note that the labor supply is estimated instrumenting the endogenous lwage with exper and > (from the demand equation), and the sargan confirms that the instruments are valid with p>alp 4 . *// Now is the time for estimating the demand for labor using the instruments from the supply > . 5 . ivreg2 lwage (hours=age kidslt6 nwifeinc) educ exper expersq IV (2SLS) estimation Estimates efficient for homoskedasticity only Statistics consistent for homoskedasticity only Total (centered) SS Total (uncentered) SS Residual SS = = = 223.3274409 829.5947861 195.2655578 Number of obs F( 4, 423) Prob > F Centered R2 Uncentered R2 Root MSE = = = = = = 428 19.03 0.0000 0.1257 0.7646 .6754 Simultaenous Systems and 2SLS lwage Coef. hours educ exper expersq _cons .0001259 .11033 .0345824 -.0007058 -.6557254 Thursday November 8 15:45:39 2012 Std. Err. .0002531 .0154334 .0193774 .0004514 .3358094 z 0.50 7.15 1.78 -1.56 -1.95 P>|z| 0.619 0.000 0.074 0.118 0.051 Page 2 [95% Conf. Interval] -.0003702 .0800811 -.0033966 -.0015905 -1.3139 Underidentification test (Anderson canon. corr. LM statistic): Chi-sq(3) P-val = Weak identification test (Cragg-Donald Wald F statistic): Stock-Yogo weak ID test critical values: 5% maximal IV relative 10% maximal IV relative 20% maximal IV relative 30% maximal IV relative 10% maximal IV size 15% maximal IV size 20% maximal IV size 25% maximal IV size Source: Stock-Yogo (2005). Reproduced by permission. bias bias bias bias Sargan statistic (overidentification test of all instruments): Chi-sq(2) P-val = .000622 .1405789 .0725613 .000179 .002449 13.175 0.0043 4.457 13.91 9.08 6.46 5.39 22.30 12.83 9.54 7.80 2.925 0.2316 Instrumented: hours Included instruments: educ exper expersq Excluded instruments: age kidslt6 nwifeinc 6 . *// Note that we have used the exo variables (those which help us identify the demand equatio > y included in the supply equation) as instruments for the endo variable lwage in the demand e 7 . *// See related data and examples 16.6, 16.7, and 16.8 (panel case) for further economic appl > of simultaenous equation systems and the application of 2SLS method. 8 . log close name: log: log type: closed on: <unnamed> C:\Users\didar\Desktop\ECO 311\2SLSEstimation_MROZ.smcl smcl 8 Nov 2012, 15:44:56