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UNIVERSIDAD NACIONAL PEDRO RUIZ GALLO FACULTAD DE CIENCIAS ECONOMICAS ADMINISTRATIVAS Y CONTABLES Econometría: Prueba de hipótesis con restricciones Dependent Variable: LOG(Q) Method: LeastSquares Date: 06/03/15 Time: 13:08 Sample: 1 814 Includedobservations: 814 Variable Coefficien t Std. Error t-Statistic Prob. C 1.067993 0.046024 23.20526 0.0000 LOG(K) 0.296539 0.018842 15.73787 0.0000 LOG(L) 0.730006 0.026938 27.09975 0.0000 R-squared 0.927564 Mean dependentvar 5.235342 Adjusted R-squared 0.927385 S.D. dependentvar 1.574828 S.E. of regression 0.424371 Akaikeinfocriterio n 1.127259 Sum squaredresid 146.0533 Schwarzcriterion 1.144588 Log likelihood -455.7946 Hannan- Quinncriter. 1.133911 F-statistic 5192.545 Durbin-Watson stat 1.156966 Prob(F-statistic) 0.000000 H o : B 2 + B 3 =1 H a : No H o a) Método de la prueba t y F La matriz de varianza covarianza es: C LOG(K) LOG(L) 0.002118 0.000160 -0.000682 0.000160 0.000355 -0.000463 -0.000682 -0.000463 0.000726 Wald Test: Equation: Untitled Test Statistic Value Df Probabilit y t-statistic 2.128647 811 0.0336 F-statistic 4.531137 (1, 811) 0.0336 Chi-square 4.531137 1 0.0333

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UNIVERSIDAD NACIONAL PEDRO RUIZ GALLOFACULTAD DE CIENCIAS ECONOMICAS ADMINISTRATIVAS Y CONTABLESEconometra: Prueba de hiptesis con restricciones

Dependent Variable: LOG(Q)

Method: LeastSquares

Date: 06/03/15 Time: 13:08

Sample: 1 814

Includedobservations: 814

VariableCoefficientStd. Errort-StatisticProb.

C1.0679930.04602423.205260.0000

LOG(K)0.2965390.01884215.737870.0000

LOG(L)0.7300060.02693827.099750.0000

R-squared0.927564Mean dependentvar5.235342

Adjusted R-squared0.927385S.D. dependentvar1.574828

S.E. of regression0.424371Akaikeinfocriterion1.127259

Sum squaredresid146.0533Schwarzcriterion1.144588

Log likelihood-455.7946Hannan-Quinncriter.1.133911

F-statistic5192.545Durbin-Watson stat1.156966

Prob(F-statistic)0.000000

Ho : B2 + B3 =1Ha : No Hoa) Mtodo de la prueba t y FLa matriz de varianza covarianza es:

CLOG(K)LOG(L)

0.0021180.000160-0.000682

0.0001600.000355-0.000463

-0.000682-0.0004630.000726

Wald Test:

Equation: Untitled

Test StatisticValueDfProbability

t-statistic2.1286478110.0336

F-statistic4.531137(1, 811)0.0336

Chi-square4.53113710.0333

NullHypothesis: C(2)+C(3)=1

NullHypothesisSummary:

NormalizedRestriction (= 0)ValueStd. Err.

-1 + C(2) + C(3)0.0265450.012471

Restrictions are linear in coefficients.

b) Mtodo de la suma residual de cuadrados:

Dependent Variable: LOG(Q/K)

Method: LeastSquares

Date: 06/03/15 Time: 13:22

Sample: 1 814

Includedobservations: 814

VariableCoefficientStd. Errort-StatisticProb.

C1.1571160.01915260.416130.0000

LOG(L/K)0.6851030.01678940.805590.0000

R-squared0.672197Mean dependentvar0.666409

Adjusted R-squared0.671793S.D. dependentvar0.742358

S.E. of regression0.425292Akaikeinfocriterion1.130374

Sum squaredresid146.8693Schwarzcriterion1.141927

Log likelihood-458.0622Hannan-Quinncriter.1.134808

F-statistic1665.096Durbin-Watson stat1.151410

Prob(F-statistic)0.000000

c) Mtodo de la sobre parametrizacin:

Dependent Variable: LOG(Q/K)

Method: LeastSquares

Date: 06/03/15 Time: 13:26

Sample: 1 814

Includedobservations: 814

VariableCoefficientStd. Errort-StatisticProb.

C1.0679930.04602423.205260.0000

LOG(K)0.0265450.0124712.1286470.0336

LOG(L/K)0.7300060.02693827.099750.0000

R-squared0.674018Mean dependentvar0.666409

Adjusted R-squared0.673214S.D. dependentvar0.742358

S.E. of regression0.424371Akaikeinfocriterion1.127259

Sum squaredresid146.0533Schwarzcriterion1.144588

Log likelihood-455.7946Hannan-Quinncriter.1.133911

F-statistic838.4340Durbin-Watson stat1.156966

Prob(F-statistic)0.000000

Presentar las conclusiones respecto a las diferentes pruebas que puede aplicar dada la informacin presentada. Para el da lunes