ECONOMETRIA 1 Profesor: Ramón Rosales Complementarios: Mónica Reyes Camilo Gutiérrez Monitoras: Maria Adelaida Ortega Ana Margarita Chiquiza EJC 15: MÁXIMA VEROSIMILITUD (LIMDEP) Modelo 1: Modelo sin restricción +--------------------------------------------------------------------+ | Ordinary least squares regression Weighting variable = none | | Dep. var. = LY Mean= 4.176055962 ,S.D.= .7442601000 | | Model size: Observations = 80, Parameters = 3, Deg.Fr.= 77 | | Residuals: Sum of squares= 4.891275936 , Std.Dev.= .25204 | | Fit: R-squared= .888225, Adjusted R-squared = .88532 | | Model test: F[ 2, 77] = 305.94, Prob value = .00000 | | Diagnostic: Log-L = -1.7321, Restricted(b=0) Log-L = -89.3828 | | LogAmemiyaPrCrt.= -2.720, Akaike Info. Crt.= .118 | | Autocorrel: Durbin-Watson Statistic = 2.04744, Rho = -.02372 | +--------------------------------------------------------------------+ +---------+------------+---------------+--------+---------+----------+ |Variable |Coefficient |Standard Error |t-ratio |P[|T|>t] | Mean of X| +---------+------------+---------------+--------+---------+----------+ Constant 2.156505422 .89437890E-01 24.112 .0000 LX1 .2517031940 .13068059E-01 19.261 .0000 3.8473345 LX2 .2407523667 .15877698E-01 15.163 .0000 4.3661633 Modelo 2: Modelo con restricción Ho: β1+ β2 = 1 +--------------------------------------------------------------------+ | Linearly restricted regression | | Ordinary least squares regression Weighting variable = none | | Dep. var. = LY Mean= 4.176055962 , S.D.= .7442601000 | | Model size: Observations = 80, Parameters = 2, Deg.Fr.= 78 | | Residuals: Sum of squares= 44.30083837 , Std.Dev.= .75363 | | Fit: R-squared= -.012361, Adjusted R-squared = -.02534 | | (Note: Not using OLS. R-squared is not bounded in [0,1] | | Diagnostic: Log-L = -89.8742, Restricted(b=0) Log-L = -89.3828 | | LogAmemiyaPrCrt.= -.541, Akaike Info. Crt.= 2.297 | | Note,when restrictions are imposed,R-squared can be less than zero | | F[ 1, 77] for the restrictions = 620.3977, Prob = .0000 | +--------------------------------------------------------------------+ +---------+------------+---------------+--------+---------+----------+ |Variable |Coefficient |Standard Error |t-ratio |P[|T|>t] | Mean of X| +---------+------------+---------------+--------+---------+----------+ Constant .0463593709 .85726052E-01 .541 .5902 LX1 .4557702479 .30442386E-01 14.972 .0000 3.8473345 LX2 .5442297521 .30442386E-01 17.877 .0000 4.3661633