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*** Binary (0/1) Weight Matrix: 49x49 - NC=7 NT=7 (Non Normalized)
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* Spatial Panel Autoregressive Generalized Method of Moments (SPGMM)
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y = x1 + x2
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Sample Size = 49 | Cross Sections Number = 7
Wald Test = 45.3388 | P-Value > Chi2(2) = 0.0000
F-Test = 22.6694 | P-Value > F(2 , 40) = 0.0000
(Buse 1973) R2 = 0.7748 | Raw Moments R2 = 0.9590
(Buse 1973) R2 Adj = 0.7297 | Raw Moments R2 Adj = 0.9509
Root MSE (Sigma) = 8.6984 | Log Likelihood Function = -170.5500
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- R2h= 0.5500 R2h Adj= 0.4600 F-Test = 28.11 P-Value > F(2 , 40) 0.0000
- R2v= 0.4508 R2v Adj= 0.3410 F-Test = 18.88 P-Value > F(2 , 40) 0.0000
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y | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
x1 | -.2904423 .0941184 -3.09 0.004 -.4806627 -.1002219
x2 | -1.323453 .3309552 -4.00 0.000 -1.992338 -.6545673
_cons | 64.47419 5.091475 12.66 0.000 54.18394 74.76445
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==============================================================================
* Panel Model Selection Diagnostic Criteria
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- Log Likelihood Function LLF = -170.5500
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- Akaike Information Criterion (1974) AIC = 69.8112
- Akaike Information Criterion (1973) Log AIC = 4.2458
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- Schwarz Criterion (1978) SC = 78.3840
- Schwarz Criterion (1978) Log SC = 4.3616
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- Amemiya Prediction Criterion (1969) FPE = 80.2952
- Hannan-Quinn Criterion (1979) HQ = 72.9474
- Rice Criterion (1984) Rice = 70.3840
- Shibata Criterion (1981) Shibata = 69.3287
- Craven-Wahba Generalized Cross Validation (1979) GCV = 70.0846
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==============================================================================
*** Spatial Panel Aautocorrelation Tests
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Ho: Error has No Spatial AutoCorrelation
Ha: Error has Spatial AutoCorrelation
- GLOBAL Moran MI = 0.0594 P-Value > Z( 0.705) 0.4805
- GLOBAL Geary GC = 0.8831 P-Value > Z(-0.828) 0.4076
- GLOBAL Getis-Ords GO = -0.1698 P-Value > Z(-0.705) 0.4805
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- Moran MI Error Test = 0.3779 P-Value > Z(3.505) 0.7055
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- LM Error (Burridge) = 0.1647 P-Value > Chi2(1) 0.6849
- LM Error (Robust) = 0.6335 P-Value > Chi2(1) 0.4261
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Ho: Spatial Lagged Dependent Variable has No Spatial AutoCorrelation
Ha: Spatial Lagged Dependent Variable has Spatial AutoCorrelation
- LM Lag (Anselin) = 0.3204 P-Value > Chi2(1) 0.5714
- LM Lag (Robust) = 0.7891 P-Value > Chi2(1) 0.3744
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Ho: No General Spatial AutoCorrelation
Ha: General Spatial AutoCorrelation
- LM SAC (LMErr+LMLag_R) = 0.9539 P-Value > Chi2(2) 0.6207
- LM SAC (LMLag+LMErr_R) = 0.9539 P-Value > Chi2(2) 0.6207
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==============================================================================
*** Panel Heteroscedasticity Tests
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Ho: Panel Homoscedasticity - Ha: Panel Heteroscedasticity
- Engle LM ARCH Test AR(1): E2 = E2_1 = 0.5025 P-Value > Chi2(1) 0.4784
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- Hall-Pagan LM Test: E2 = Yh = 0.0254 P-Value > Chi2(1) 0.8734
- Hall-Pagan LM Test: E2 = Yh2 = 0.0000 P-Value > Chi2(1) 0.9968
- Hall-Pagan LM Test: E2 = LYh2 = 0.2283 P-Value > Chi2(1) 0.6328
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- Harvey LM Test: LogE2 = X = 2.4753 P-Value > Chi2(2) 0.2901
- Wald Test: LogE2 = X = 6.1075 P-Value > Chi2(1) 0.0135
- Glejser LM Test: |E| = X = 8.3688 P-Value > Chi2(2) 0.0152
- Breusch-Godfrey Test: E = E_1 X = 10.9753 P-Value > Chi2(1) 0.0009
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- Machado-Santos-Silva Test: Ev=Yh Yh2 = 0.2531 P-Value > Chi2(2) 0.8811
- Machado-Santos-Silva Test: Ev=X = 7.2616 P-Value > Chi2(2) 0.0265
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- White Test - Koenker(R2): E2 = X = 9.8517 P-Value > Chi2(2) 0.0073
- White Test - B-P-G (SSR): E2 = X = 14.2397 P-Value > Chi2(2) 0.0008
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- White Test - Koenker(R2): E2 = X X2 = 11.7997 P-Value > Chi2(4) 0.0189
- White Test - B-P-G (SSR): E2 = X X2 = 17.0553 P-Value > Chi2(4) 0.0019
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- White Test - Koenker(R2): E2 = X X2 XX= 24.9319 P-Value > Chi2(5) 0.0001
- White Test - B-P-G (SSR): E2 = X X2 XX= 36.0364 P-Value > Chi2(5) 0.0000
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- Cook-Weisberg LM Test: E2/S2n = Yh = 0.0367 P-Value > Chi2(1) 0.8481
- Cook-Weisberg LM Test: E2/S2n = X = 14.2397 P-Value > Chi2(2) 0.0008
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*** Single Variable Tests (E2/Sig2):
- Cook-Weisberg LM Test: x1 = 4.1504 P-Value > Chi2(1) 0.0416
- Cook-Weisberg LM Test: x2 = 3.0020 P-Value > Chi2(1) 0.0832
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*** Single Variable Tests:
- King LM Test: x1 = 0.3196 P-Value > Chi2(1) 0.5718
- King LM Test: x2 = 2.9761 P-Value > Chi2(1) 0.0845
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==============================================================================
* Panel Groupwise Heteroscedasticity Tests
==============================================================================
Ho: Panel Homoscedasticity - Ha: Panel Groupwise Heteroscedasticity
- Lagrange Multiplier LM Test = 7.3373 P-Value > Chi2(6) 0.2908
- Likelihood Ratio LR Test = 7.1253 P-Value > Chi2(6) 0.3094
- Wald Test = 12.4812 P-Value > Chi2(7) 0.0858
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==============================================================================
* Panel Non Normality Tests
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Ho: Normality - Ha: Non Normality
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*** Non Normality Tests:
- Jarque-Bera LM Test = 1.8192 P-Value > Chi2(2) 0.4027
- White IM Test = 11.9460 P-Value > Chi2(2) 0.0025
- Doornik-Hansen LM Test = 4.7489 P-Value > Chi2(2) 0.0931
- Geary LM Test = -0.7192 P-Value > Chi2(2) 0.6980
- Anderson-Darling Z Test = 0.3559 P > Z( 0.087) 0.5346
- D'Agostino-Pearson LM Test = 2.6169 P-Value > Chi2(2) 0.2702
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*** Skewness Tests:
- Srivastava LM Skewness Test = 0.1992 P-Value > Chi2(1) 0.6554
- Small LM Skewness Test = 0.2464 P-Value > Chi2(1) 0.6196
- Skewness Z Test = -0.4964 P-Value > Chi2(1) 0.6196
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*** Kurtosis Tests:
- Srivastava Z Kurtosis Test = 1.2728 P-Value > Z(0,1) 0.2031
- Small LM Kurtosis Test = 2.3705 P-Value > Chi2(1) 0.1236
- Kurtosis Z Test = 1.5396 P-Value > Chi2(1) 0.1236
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Skewness Coefficient = -0.1562 - Standard Deviation = 0.3398
Kurtosis Coefficient = 3.8908 - Standard Deviation = 0.6681
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Runs Test: (23) Runs - (24) Positives - (25) Negatives
Standard Deviation Runs Sig(k) = 3.4619 , Mean Runs E(k) = 25.4898
95% Conf. Interval [E(k)+/- 1.96* Sig(k)] = (18.7045 , 32.2751 )
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* Marginal Effect - Elasticity: Linear *
+---------------------------------------------------------------------------+
| Variable | Marginal_Effect(B) | Elasticity(Es) | Mean |
|------------+--------------------+--------------------+--------------------|
| x1 | -0.2904 | -0.3178 | 38.4362 |
| x2 | -1.3235 | -0.5416 | 14.3749 |
+---------------------------------------------------------------------------+
Mean of Dependent Variable = 35.1288