Dependent Variable: LOG(MISKIN) Method: Panel Least Squares Date: 12/06/11 Time: 18:16 Sample: 2005 2009
Periods included: 5 Cross-sections included: 8
Total panel (balanced) observations: 40
Variable Coefficient Std. Error t-Statistic Prob.
C 12.40080 1.872750 6.621707 0.0000
LOG(PDRB) 0.145885 0.114857 1.270151 0.2124
LOG(MYS) -5.157553 0.400902 -12.86487 0.0000 SHARE_PERTANIAN -0.027868 0.005025 -5.545917 0.0000 LOG(PENGANGGURAN) 0.054077 0.053468 1.011393 0.3188 R-squared 0.847999 Mean dependent var 2.530722 Adjusted R-squared 0.830628 S.D. dependent var 0.459488 S.E. of regression 0.189102 Akaike info criterion -0.376595 Sum squared resid 1.251581 Schwarz criterion -0.165485 Log likelihood 12.53190 Hannan-Quinn criter. -0.300264 F-statistic 48.81555 Durbin-Watson stat 0.470897 Prob(F-statistic) 0.000000
Hasil Fixed Effect
Dependent Variable: LOG(MISKIN) Method: Panel Least Squares Date: 12/06/11 Time: 18:16 Sample: 2005 2009
Periods included: 5 Cross-sections included: 8
Total panel (balanced) observations: 40
Variable Coefficient Std. Error t-Statistic Prob.
C 10.98810 1.465929 7.495657 0.0000 LOG(PDRB) -0.489244 0.139912 -3.496797 0.0016 LOG(MYS) -1.040229 0.524818 -1.982073 0.0574 SHARE_PERTANIAN -0.004925 0.003915 -1.257805 0.2189 LOG(PENGANGGURAN) 0.038281 0.025106 1.524771 0.1385 Effects Specification Cross-section fixed (dummy variables)
R-squared 0.990465 Mean dependent var 2.530722 Adjusted R-squared 0.986719 S.D. dependent var 0.459488 S.E. of regression 0.052953 Akaike info criterion -2.795490 Sum squared resid 0.078513 Schwarz criterion -2.288826 Log likelihood 67.90980 Hannan-Quinn criter. -2.612296 F-statistic 264.4081 Durbin-Watson stat 1.411928 Prob(F-statistic) 0.000000
Hasil Random Effect
Dependent Variable: LOG(MISKIN)
Method: Panel EGLS (Cross-section random effects) Date: 12/06/11 Time: 18:16
Sample: 2005 2009 Periods included: 5 Cross-sections included: 8
Total panel (balanced) observations: 40
Swamy and Arora estimator of component variances
Variable Coefficient Std. Error t-Statistic Prob.
C 9.498533 1.311218 7.244055 0.0000 LOG(PDRB) -0.203844 0.115235 -1.768952 0.0856 LOG(MYS) -2.052676 0.435154 -4.717122 0.0000 SHARE_PERTANIAN -0.005554 0.003581 -1.551038 0.1299 LOG(PENGANGGURAN) 0.066210 0.023160 2.858769 0.0071 Effects Specification S.D. Rho Cross-section random 0.233854 0.9512 Idiosyncratic random 0.052953 0.0488 Weighted Statistics
R-squared 0.562943 Mean dependent var 0.254971 Adjusted R-squared 0.512994 S.D. dependent var 0.089857 S.E. of regression 0.062708 Sum squared resid 0.137629 F-statistic 11.27028 Durbin-Watson stat 1.069881 Prob(F-statistic) 0.000006
Unweighted Statistics
R-squared 0.455705 Mean dependent var 2.530722 Sum squared resid 4.481749 Durbin-Watson stat 0.032855
1. Uji Common Effect dengan Fixed Effect
Signifikansi Model Fixed Effect
Ho : α1= α2 =…=αi (intersep sama)
H1 : sekurang-kurangnya ada 1 intersep yang berbeda
Wilayah kritis : F
(0,05; 7;28 )= 2,36
Statistik Uji F:
59.76427
Keputusan : Tolak H
0Kesimpulan :
Model Fixed Effect lebih baik daripada Common Effect pada α = 5 persen,
intersep untuk tiap kabupaten/kota tidak sama.
H
0: model Random Effect lebih baik daripada Fixed Effect
H1 : model Fixed Effect lebih baik daripada Random Effect
Correlated Random Effects - Hausman Test Equation: Untitled
Test cross-section random effects
Test Summary
Chi-Sq.
Statistic Chi-Sq. d.f. Prob.
Cross-section random 18.082184 4 0.0012
Cross-section random effects test comparisons:
Variable Fixed Random Var(Diff.) Prob. LOG(PDRB) -0.489244 -0.203844 0.006296 0.0003 LOG(MYS) -1.040229 -2.052676 0.086075 0.0006 SHARE_PERTANIAN -0.004925 -0.005554 0.000003 0.6912 LOG(PENGANGGURAN) 0.038281 0.066210 0.000094 0.0040
Cross-section random effects test equation: Dependent Variable: LOG(MISKIN) Method: Panel Least Squares Date: 12/06/11 Time: 18:23 Sample: 2005 2009
Periods included: 5 Cross-sections included: 8
Total panel (balanced) observations: 40
Variable Coefficient Std. Error t-Statistic Prob.
C 10.98810 1.465929 7.495657 0.0000 LOG(PDRB) -0.489244 0.139912 -3.496797 0.0016 LOG(MYS) -1.040229 0.524818 -1.982073 0.0574 SHARE_PERTANIAN -0.004925 0.003915 -1.257805 0.2189 LOG(PENGANGGURAN) 0.038281 0.025106 1.524771 0.1385 Effects Specification Cross-section fixed (dummy variables)
R-squared 0.990465 Mean dependent var 2.530722 Adjusted R-squared 0.986719 S.D. dependent var 0.459488 S.E. of regression 0.052953 Akaike info criterion -2.795490 Sum squared resid 0.078513 Schwarz criterion -2.288826 Log likelihood 67.90980 Hannan-Quinn criter. -2.612296 F-statistic 264.4081 Durbin-Watson stat 1.411928 Prob(F-statistic) 0.000000
Karena nilai probabilitas Chi-Square berdasarkan hasil estimasi diperoleh
probabilitas sebesar 0,0012 yang berarti tolak Ho.
Kesimpulan : model Fixed Effect lebih baik daripada Random Effect.
3. Uji Asumsi Homoskedastisitas
Untuk medeteksi adanya heteroskedastisitas dapat menggunakan metode
General Least Square (Cross section Weight) yaitu dengan membandingkan sum
square Residual pada Weighted Statistics dengan sum square Residual
Unweighted Statistics. Jika sum square Residual pada Weighted Statistics lebih
kecil dari sum square Residual Unweighted Statistics, maka terjadi
heteroskedastisitas.
Hasil
output
memperlihatkan
adanya
indikasi
heteroskedastisitas.
Dependent Variable: LOG(MISKIN)
Method: Panel EGLS (Cross-section weights) Date: 12/06/11 Time: 18:24
Sample: 2005 2009 Periods included: 5 Cross-sections included: 8
Total panel (balanced) observations: 40
Linear estimation after one-step weighting matrix
Variable Coefficient Std. Error t-Statistic Prob.
C 11.38855 1.250168 9.109618 0.0000 LOG(PDRB) -0.517855 0.126073 -4.107568 0.0003 LOG(MYS) -1.091039 0.430742 -2.532929 0.0172 SHARE_PERTANIAN -0.002860 0.003038 -0.941462 0.3545 LOG(PENGANGGURAN) 0.027069 0.020699 1.307705 0.2016 Effects Specification Cross-section fixed (dummy variables)
Weighted Statistics
R-squared 0.992760 Mean dependent var 3.058640 Adjusted R-squared 0.989916 S.D. dependent var 1.521740 S.E. of regression 0.052219 Sum squared resid 0.076350 F-statistic 349.0327 Durbin-Watson stat 1.785111 Prob(F-statistic) 0.000000
Unweighted Statistics
R-squared 0.990284 Mean dependent var 2.530722 Sum squared resid 0.080003 Durbin-Watson stat 1.332777
Treatment pelanggaran ini dapat dilakukan dengan mengestimasi GLS
dengan white-heteroscedasticity. Berdasarkan prosedur di atas, maka hasil
estimasi Fixed Effect sebagai berikut:
Dependent Variable: LOG(MISKIN)
Method: Panel EGLS (Cross-section weights) Date: 12/06/11 Time: 18:25
Sample: 2005 2009 Periods included: 5 Cross-sections included: 8
Total panel (balanced) observations: 40
Linear estimation after one-step weighting matrix
White cross-section standard errors & covariance (d.f. corrected)
Variable Coefficient Std. Error t-Statistic Prob.
C 11.38855 1.545020 7.371135 0.0000 LOG(PDRB) -0.517855 0.089410 -5.791907 0.0000 LOG(MYS) -1.091039 0.274328 -3.977127 0.0004 SHARE_PERTANIAN -0.002860 0.001622 -1.763247 0.0888 LOG(PENGANGGURAN) 0.027069 0.007465 3.626274 0.0011 Effects Specification Cross-section fixed (dummy variables)
Weighted Statistics
R-squared 0.992760 Mean dependent var 3.058640 Adjusted R-squared 0.989916 S.D. dependent var 1.521740 S.E. of regression 0.052219 Sum squared resid 0.076350 F-statistic 349.0327 Durbin-Watson stat 1.785111 Prob(F-statistic) 0.000000
Unweighted Statistics
R-squared 0.990284 Mean dependent var 2.530722 Sum squared resid 0.080003 Durbin-Watson stat 1.332777
4. Uji Asumsi Autokolerasi
Hasil estimasi menunjukkan nilai statistic Durbin Watson sebesar
1,785111. Nilai Durbin Watson tersebut berada pada interval dU < DW < 4-dU
(1.721 < 1,785111 < 2.279). Hal ini menunjukkan tidak adanya autokolerasi.
5. Uji Multikolinieritas
Berdasarkan matriks korelasi pearson antar variabel independen terlihat bahwa
korelasi antarvariabel kurang dari 0,8, sehingga dapat disimpulkan model telah
memenuhi asumsi terbebas dari multikolinieritas.
Variabel
PDRB
MYS
Share_Pertanian
Pengangguran
PDRB
1
MYS
0,347285
1
Share_Pertanian
-0,580666
-0,749964
1
Pengangguran
0,612862
0,590386
-0,698824
1
6. Uji Normalitas.
Hasil uji normalitas pada Eviews 6.0 sebagai berikut:
Berdasarkan nilai probabilitas Jarque-Bera yang lebih besar dari taraf nyata lima
persen, dapat disimpulkan bahwa error term terdistribusi dengan normal.
0 1 2 3 4 5 6 -0.05 0.00 0.05 0.10
Series: Standardized Residuals Sample 2005 2009 Observations 40 Mean 9.02e-18 Median 0.002639 Maximum 0.090148 Minimum -0.085441 Std. Dev. 0.044246 Skewness 0.090564 Kurtosis 2.305704 Jarque-Bera 0.858091 Probability 0.651130