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Phụ lục kiểm định khuyết tật của các mô hình kinh tế lượng
Mô hình 1: đánh giá ảnh hưởng của đầu tư công nghệ đến tỷ suất sinh lời trên vốn chủ sở hữu
ROE = a1 + a2 × FL + a3 × Scale + a4 × T/E + u (1)
Kiểm định phương sai sai số thay đổi
White Heteroskedasticity Test:
F-statistic 0.790917 Probability 0.615625
Obs*R-squared 6.884947 Probability 0.549096
Test Equation:
Dependent Variable: RESID^2 Method: Least Squares Sample: 1 33
Included observations: 33
Coefficient | Std. Error | t-Statistic | Prob. | |
C | 194.7031 | 306.1088 | 0.636059 | 0.5308 |
SCALE | -182.1156 | 282.9694 | -0.643588 | 0.5259 |
SCALE*TE | 15.28370 | 41.87834 | 0.364955 | 0.7183 |
SCALE*FL | 5.992633 | 7.728292 | 0.775415 | 0.4457 |
TE | -38.20565 | 57.30945 | -0.666655 | 0.5114 |
TE^2 | 1.207647 | 1.901770 | 0.635012 | 0.5314 |
TE*FL | 0.723497 | 0.937655 | 0.771603 | 0.4479 |
FL | 2.696958 | 8.637595 | 0.312235 | 0.7576 |
FL^2 | -0.360021 | 0.266621 | -1.350310 | 0.1895 |
R-squared | 0.208635 | Mean dependent var | 16.02936 | |
Adjusted R-squared | -0.055154 | S.D. dependent var | 38.80914 | |
S.E. of regression | 39.86501 | Akaike info criterion | 10.43588 | |
Sum squared resid | 38141.25 | Schwarz criterion | 10.84401 | |
Log likelihood | -163.1920 | F-statistic | 0.790917 | |
Durbin-Watson stat | 2.381202 | Prob(F-statistic) | 0.615625 |
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Kiểm định tự tương quan
Breusch-Godfrey Serial Correlation LM Test:
Probability | 0.370205 | |
Obs*R-squared 2.341796 | Probability | 0.310088 |
Test Equation:
Dependent Variable: RESID Method: Least Squares
Presample missing value lagged residuals set to zero.
Coefficient | Std. Error | t-Statistic | Prob. | |
C | 0.371017 | 3.387422 | 0.109528 | 0.9136 |
SCALE | -0.304040 | 2.717274 | -0.111891 | 0.9117 |
TE | -0.039660 | 0.286136 | -0.138604 | 0.8908 |
FL | 0.005202 | 0.131970 | 0.039420 | 0.9688 |
RESID(-1) | 0.084627 | 0.194134 | 0.435918 | 0.6664 |
RESID(-2) | -0.261707 | 0.188445 | -1.388766 | 0.1763 |
R-squared | 0.070964 | Mean dependent var | 2.87E-15 | |
Adjusted R-squared | -0.101080 | S.D. dependent var | 4.065744 | |
S.E. of regression | 4.266282 | Akaike info criterion | 5.902328 | |
Sum squared resid | 491.4314 | Schwarz criterion | 6.174420 | |
Log likelihood | -91.38842 | F-statistic | 0.412473 | |
Durbin-Watson stat | 1.822035 | Prob(F-statistic) | 0.835869 |
Kiểm định dạng hàm
F-statistic | 2.640846 | Probability | 0.115353 |
Log likelihood ratio | 2.974272 | Probability | 0.084598 |
Test Equation: Dependent Variable: ROE Method: Least Squares
Date: 01/10/09 Time: 17:00 Sample: 1 33
Included observations: 33
Coefficient | Std. Error t-Statistic | Prob. | |
C | 19.72770 | 7.726993 2.553089 | 0.0164 |
SCALE | -1.827050 | 2.818820 -0.648161 | 0.5222 |
TE | -0.149207 | 0.287816 -0.518411 | 0.6082 |
FL | 2.608857 | 1.361256 1.916507 | 0.0656 |
FITTED^2 | -0.203991 | 0.125528 -1.625068 | 0.1154 |
R-squared | 0.329314 | Mean dependent var | 12.06540 |
Adjusted R-squared | 0.233501 | S.D. dependent var | 4.745795 |
S.E. of regression | 4.154939 | Akaike info criterion | 5.825200 |
Sum squared resid | 483.3786 | Schwarz criterion | 6.051944 |
Log likelihood | -91.11580 | F-statistic | 3.437068 |
Durbin-Watson stat | 1.868138 | Prob(F-statistic) | 0.020906 |
Mô hình 2: đánh giá ảnh hưởng của đầu tư công nghệ đến tỷ lệ an toàn vốn
CAR = b1 + b2 × FL + b3 × Scale + b4 × T/E + v (2)
Kiểm định phương sai sai số: khuyết tật
White Heteroskedasticity Test:
F-statistic 10.36110 Probability 0.000004
Obs*R-squared 25.59043 Probability 0.001234
Test Equation:
Dependent Variable: RESID^2 Method: Least Squares Sample: 1 33
Included observations: 33
Coefficient | Std. Error | t-Statistic | Prob. | |
C | 362.0286 | 96.34021 | 3.757814 | 0.0010 |
FL | -8.864576 | 2.718470 | -3.260869 | 0.0033 |
FL^2 | 0.262247 | 0.083912 | 3.125245 | 0.0046 |
FL*SCALE | 0.995460 | 2.432289 | 0.409269 | 0.6860 |
FL*TE | 0.621321 | 0.295104 | 2.105432 | 0.0459 |
SCALE | -291.9568 | 89.05763 | -3.278291 | 0.0032 |
SCALE*TE | 35.60049 | 13.18018 | 2.701063 | 0.0125 |
TE | -52.65480 | 18.03674 | -2.919309 | 0.0075 |
TE^2 | 1.602157 | 0.598535 | 2.676796 | 0.0132 |
R-squared | 0.775468 | Mean dependent var | 16.93219 | |
Adjusted R-squared | 0.700623 | S.D. dependent var | 22.93056 | |
S.E. of regression | 12.54653 | Akaike info criterion | 8.123766 | |
Sum squared resid | 3777.970 | Schwarz criterion | 8.531904 | |
Log likelihood | -125.0421 | F-statistic | 10.36110 | |
Durbin-Watson stat | 2.156446 | Prob(F-statistic) | 0.000004 |
Kiểm định dạng hàm: khuyết tật
Ramsey RESET Test:
F-statistic 11.76988 Probability 0.001887 Log likelihood ratio 11.57988 Probability 0.000667
Test Equation:
Dependent Variable: CAR/CARF Method: Least Squares
Sample: 1 33
Included observations: 33
Coefficient | Std. Error | t-Statistic | Prob. | |
1/CARF | 23.20226 | 4.262952 | 5.442768 | 0.0000 |
FL/CARF | -0.502556 | 0.107353 | -4.681365 | 0.0001 |
SCALE/CARF | -5.550497 | 3.253736 | -1.705884 | 0.0991 |
TE/CARF | -0.574378 | 0.311154 | -1.845961 | 0.0755 |
FITTED^2 | 0.080872 | 0.023573 | 3.430726 | 0.0019 |
R-squared | 0.960872 | Mean dependent var | 1.254681 | |
Adjusted R-squared | 0.955282 | S.D. dependent var | 1.530519 | |
S.E. of regression | 0.323653 | Akaike info criterion | 0.720440 | |
Sum squared resid | 2.933043 | Schwarz criterion | 0.947184 | |
Log likelihood | -6.887265 | Durbin-Watson stat | 1.971738 |
đổi dạng mô hình | ||
Dependent Variable: CAR/CARF | ||
Method: Least Squares | ||
Sample: 1 33 | ||
Included observations: 33 | ||
Variable Coefficient | Std. Error t-Statistic | Prob. |
1/CARF 20.11611 | 3.311382 6.074838 | 0.0000 |
FL/CARF -0.425276 | 0.118863 -3.577850 | 0.0012 |
TE/CARF 0.016137 | 0.175951 0.091716 | 0.9276 |
ROE -0.026703 | 0.011877 -2.248272 | 0.0323 |
R-squared 0.952534 | Mean dependent var | 1.254681 |
Adjusted R-squared 0.947624 | S.D. dependent var | 1.530519 |
S.E. of regression 0.350271 | Akaike info criterion | 0.852995 |
Sum squared resid 3.558009 | Schwarz criterion | 1.034390 |
Log likelihood -10.07442 | Durbin-Watson stat | 1.716363 |
Estimation Command:
=====================
LS CAR/CARF 1/CARF FL/CARF TE/CARF ROE
Estimation Equation:
=====================
CAR/CARF = C(1)*(1/CARF) + C(2)*(FL/CARF) + C(3)*(TE/CARF) + C(4)*ROE
Substituted Coefficients:
=====================
CAR/CARF = 20.11611087*(1/CARF) - 0.4252755668*(FL/CARF) + 0.01613748714*(TE/CARF) - 0.026703244*ROE
Kiểm định tự tương quan
Breusch-Godfrey Serial Correlation LM Test:
Probability | 0.193472 | |
Obs*R-squared 3.767798 | Probability | 0.151996 |
Test Equation:
Dependent Variable: RESID Method: Least Squares
Presample missing value lagged residuals set to zero.
Coefficient | Std. Error | t-Statistic | Prob. | |
1/CARF | -1.823309 | 3.483919 | -0.523350 | 0.6050 |
FL/CARF | 0.078961 | 0.126233 | 0.625520 | 0.5369 |
TE/CARF | -0.018169 | 0.176705 | -0.102821 | 0.9189 |
ROE | 0.006591 | 0.012377 | 0.532500 | 0.5987 |
RESID(-1) | 0.113944 | 0.194298 | 0.586437 | 0.5625 |
RESID(-2) | -0.376624 | 0.207899 | -1.811566 | 0.0812 |
R-squared | 0.114176 | Mean dependent var | 0.006879 | |
Adjusted R-squared | -0.049866 | S.D. dependent var | 0.333375 | |
S.E. of regression | 0.341586 | Akaike info criterion | 0.852531 | |
Sum squared resid | 3.150388 | Schwarz criterion | 1.124624 | |
Log likelihood | -8.066769 | Durbin-Watson stat | 1.866306 |
Kiểm định phương sai sai số thay đổi
White Heteroskedasticity Test:
F-statistic 1.253526 Probability 0.318588
Obs*R-squared 15.23587 Probability 0.292860
Test Equation:
Dependent Variable: RESID^2 Method: Least Squares Sample: 1 33
Included observations: 33
Coefficient | Std. Error | t-Statistic | Prob. | |
C | 3.223330 | 4.006081 | 0.804609 | 0.4310 |
1/CARF | -106.8475 | 155.0494 | -0.689119 | 0.4991 |
(1/CARF)^2 | 999.3174 | 1636.493 | 0.610646 | 0.5487 |
(1/CARF)*(FL/CARF) | -44.52284 | 116.2266 | -0.383069 | 0.7059 |
(1/CARF)*(TE/CARF) | -25.94273 | 26.74345 | -0.970059 | 0.3442 |
(1/CARF)*ROE | -0.634829 | 3.735543 | -0.169943 | 0.8669 |
FL/CARF | 2.640983 | 5.651841 | 0.467278 | 0.6456 |
(FL/CARF)^2 | 0.340985 | 2.108520 | 0.161717 | 0.8732 |
(FL/CARF)*(TE/CARF | 0.406814 | 0.695718 | 0.584739 | 0.5656 |
) | ||||
(FL/CARF)*ROE | 0.018359 | 0.130900 | 0.140253 | 0.8899 |
TE/CARF | 0.553875 | 1.574236 | 0.351837 | 0.7288 |
(TE/CARF)*ROE | 0.097461 | 0.095343 | 1.022213 | 0.3195 |
ROE | -0.016900 | 0.188794 | -0.089518 | 0.9296 |
ROE^2 | 0.000989 | 0.001079 | 0.916275 | 0.3710 |
R-squared | 0.461693 | Mean dependent var | 0.107818 | |
Adjusted R-squared | 0.093378 | S.D. dependent var | 0.156889 | |
S.E. of regression | 0.149385 | Akaike info criterion | -0.668167 | |
Sum squared resid | 0.424000 | Schwarz criterion | -0.033285 | |
Log likelihood | 25.02476 | F-statistic | 1.253526 | |
Durbin-Watson stat | 2.236480 | Prob(F-statistic) | 0.318588 |
Kiểm định dạng hàm
Ramsey RESET Test:
F-statistic 3.364521 Probability 0.077263 Log likelihood ratio 3.744603 Probability 0.052978
Test Equation:
Dependent Variable: CAR/CARF Method: Least Squares
Sample: 1 33
Included observations: 33
Coefficient | Std. Error | t-Statistic | Prob. | |
1/CARF | 18.46154 | 3.309422 | 5.578478 | 0.0000 |
FL/CARF | -0.486988 | 0.119144 | -4.087384 | 0.0003 |
TE/CARF | -0.115237 | 0.183724 | -0.627230 | 0.5356 |
ROE | -0.010597 | 0.014406 | -0.735569 | 0.4681 |
FITTED^2 | 0.042505 | 0.023173 | 1.834263 | 0.0773 |
R-squared | 0.957626 | Mean dependent var | 1.254681 | |
Adjusted R-squared | 0.951573 | S.D. dependent var | 1.530519 | |
S.E. of regression | 0.336809 | Akaike info criterion | 0.800128 | |
Sum squared resid | 3.176336 | Schwarz criterion | 1.026872 | |
Log likelihood | -8.202116 | Durbin-Watson stat | 1.880741 |