TSP Version 4.4 Copyright (C) 1997 TSP International ALL RIGHTS RESERVED In case of questions or problems, see your local TSP consultant or send a description of the problem and the associated TSP output to: TSP International P.O. Box 61015, Station A Palo Alto, CA 94306 USA PROGRAM LINE ****************************************************************** 1 OPTIONS CRT NODATE; 2 NAME KLEINLML 'LIML estimates of Klein Model I' ; 2 ? 2 ? Nearly correct published results for LIML can be found in: 2 ? - Greene, William, "Econometric Analysis", 2nd ed., 1993, p.615 2 ? These appear to be correct, except for the intercept in the 2 ? consumption equation. The problem can be traced to p.607, 2 ? where there appears to be a typographical error. The coefficient 2 ? on C there is given as 17.477, when it should be 17.1477 . 2 ? TSP reproduces the above coefficient results with the commands below. 2 ? The standard errors do not agree as closely, for reasons unknown (they 2 ? do not appear to be uniformly higher or lower). 2 ? 2 LOAD ; 3 SMPL 1 22 ; 4 W = W1+W2 ; 5 TX = YT-Y ; 6 P = CX+I+G-TX-W ; 7 E = Y+TX-W2 ; 8 TM = YEAR-1931 ; 9 SMPL 1 21 ; 10 K = K1(+1); 11 SMPL 2 22 ; 12 LIST IVS C P(-1) K(-1) E(-1) TM W2 G TX ; 13 ? 13 ? LIML Estimates 13 ? 13 LIML(INST=IVS) CX C W P P(-1); 14 LIML(INST=IVS) I C P P(-1) K(-1); 15 LIML(INST=IVS) W1 C E E(-1) TM; 16 END ; EXECUTION ******************************************************************************* 2 NOPRINT; Current sample: 1 to 22 Current sample: 1 to 22 Current sample: 1 to 21 Current sample: 2 to 22 Equation 1 ============ Method of estimation = LIML Endogenous variables: W P Included exogenous variables: C P(-1) Excluded exogenous variables: K(-1) E(-1) TM W2 G TX Dependent variable: CX Current sample: 2 to 22 Number of observations: 21 Mean of dep. var. = 53.9952 R-squared = .956744 Std. dev. of dep. var. = 6.86087 Adjusted R-squared = .949111 Sum of squared residuals = 40.8843 Durbin-Watson = 1.48786 [<.614] Variance of residuals = 2.40496 F (over-id. rest.) = 1.62092 [.228] Std. error of regression = 1.55079 Lambda (eigenval.) = 1.49875 Estimated Standard Variable Coefficient Error t-statistic P-value C 17.1477 2.04538 8.38362 [.000] W .822559 .061549 13.3642 [.000] P -.222514 .224230 -.992343 [.321] P(-1) .396028 .192943 2.05256 [.040] Equation 2 ============ Method of estimation = LIML Endogenous variables: P Included exogenous variables: C P(-1) K(-1) Excluded exogenous variables: E(-1) TM W2 G TX Dependent variable: I Current sample: 2 to 22 Number of observations: 21 Mean of dep. var. = 1.26667 R-squared = .861508 Std. dev. of dep. var. = 3.55195 Adjusted R-squared = .837068 Sum of squared residuals = 34.9965 Durbin-Watson = 2.07281 [<.948] Variance of residuals = 2.05862 F (over-id. rest.) = .279344 [.886] Std. error of regression = 1.43479 Lambda (eigenval.) = 1.08595 Estimated Standard Variable Coefficient Error t-statistic P-value C 22.5908 9.49815 2.37844 [.017] P .075185 .224712 .334583 [.738] P(-1) .680386 .209145 3.25319 [.001] K(-1) -.168264 .045345 -3.71080 [.000] Equation 3 ============ Method of estimation = LIML Endogenous variables: E Included exogenous variables: C E(-1) TM Excluded exogenous variables: P(-1) K(-1) W2 G TX Dependent variable: W1 Current sample: 2 to 22 Number of observations: 21 Mean of dep. var. = 36.3619 R-squared = .987395 Std. dev. of dep. var. = 6.30440 Adjusted R-squared = .985171 Sum of squared residuals = 10.0219 Durbin-Watson = 2.00153 [<.929] Variance of residuals = .589524 F (over-id. rest.) = 4.77290 [.014] Std. error of regression = .767805 Lambda (eigenval.) = 2.46858 Estimated Standard Variable Coefficient Error t-statistic P-value C 1.52619 1.32084 1.15547 [.248] E .433941 .075508 5.74698 [.000] E(-1) .151321 .074527 2.03042 [.042] TM .131593 .035996 3.65582 [.000] ******************************************************************************* END OF OUTPUT FOR USER KLEINLML MEMORY USAGE: ITEM: DATA ARRAY TOTAL MEMORY UNITS: (4-BYTE WORDS) (MEGABYTES) MEMORY ALLOCATED : 500000 4.0 MEMORY ACTUALLY REQUIRED : 2193 2.1 CURRENT VARIABLE STORAGE : 1118