Hey everyone I am a undergraduate economic student doing my final capstone. I am trying to model Caribbean Tourism demand through the gravity model approach. I am running Panel FE and PPML-FE on STATA but one of my variables which is transporationcost has a coefficient sign of negative for Panel-FE and positive for PPML-FE. The expected sign should ne negative but I am wondering why its changing.
I was also wondering for tourism is it better to have a country-fair fixed effect or fixed effect for both the origin and the destination?
reg lnTourOD lnGDPpcO lnGDPpcD lnPopO lnPopD lnTransCost lnPrice lnSubPrice lnTCI Sites TS H1 H2 H3 H4 H5 i.CountryPairID i.Year
note: 2019.Year omitted because of collinearity.
Source | SS df MS Number of obs = 1,183
-------------+---------------------------------- F(96, 1086) = 818.75
Model | 4475.46392 96 46.6194159 Prob > F = 0.0000
Residual | 61.8365422 1,086 .056939726 R-squared = 0.9864
-------------+---------------------------------- Adj R-squared = 0.9852
Total | 4537.30046 1,182 3.83866367 Root MSE = .23862
-------------------------------------------------------------------------------
lnTourOD | Coefficient Std. err. t P>|t| [95% conf. interval]
--------------+----------------------------------------------------------------
lnGDPpcO | 2.717557 .4111537 6.61 0.000 1.910811 3.524302
lnGDPpcD | .5275286 .061168 8.62 0.000 .4075077 .6475496
lnPopO | 9.225091 .9058236 10.18 0.000 7.447728 11.00245
lnPopD | 1.156539 .1659294 6.97 0.000 .8309609 1.482118
lnTransCost | -4.295607 .4269914 -10.06 0.000 -5.133429 -3.457786
lnPrice | 2.109849 .4701474 4.49 0.000 1.187348 3.032349
lnSubPrice | -1.62552 .4638966 -3.50 0.000 -2.535755 -.7152852
lnTCI | .3534932 .211162 1.67 0.094 -.0608385 .7678248
Sites | .0096387 .0089492 1.08 0.282 -.007921 .0271985
TS | -.0185475 .0295509 -0.63 0.530 -.0765308 .0394359
H1 | -.0769672 .03478 -2.21 0.027 -.1452109 -.0087236
H2 | -.0374617 .0642931 -0.58 0.560 -.1636144 .088691
H3 | -.032145 .0497229 -0.65 0.518 -.1297088 .0654187
H4 | -.0855626 .0329932 -2.59 0.010 -.1503003 -.0208249
H5 | -.061267 .0347029 -1.77 0.078 -.1293594 .0068254
|
CountryPairID |
22 | -1.00991 .3279028 -3.08 0.002 -1.653305 -.3665154
42 | .6530087 .342494 1.91 0.057 -.019016 1.325034
62 | -2.049483 .5783824 -3.54 0.000 -3.184356 -.9146093
82 | -1.137843 .5077468 -2.24 0.025 -2.134119 -.141567
102 | -4.758011 .4750966 -10.01 0.000 -5.690222 -3.8258
122 | -1.402693 .2891865 -4.85 0.000 -1.970121 -.8352656
142 | -7.183284 1.125562 -6.38 0.000 -9.391807 -4.974762
162 | -1.939191 .4024766 -4.82 0.000 -2.728911 -1.149471
182 | -1.675379 .288463 -5.81 0.000 -2.241387 -1.109372
202 | -2.832778 1.192914 -2.37 0.018 -5.173456 -.4921009
222 | -1.069242 .3532932 -3.03 0.003 -1.762456 -.3760274
242 | -3.134015 1.177257 -2.66 0.008 -5.44397 -.8240605
262 | -.810962 1.049564 -0.77 0.440 -2.870364 1.24844
282 | -6.115752 .590691 -10.35 0.000 -7.274777 -4.956727
302 | -1.271515 .1962176 -6.48 0.000 -1.656523 -.8865061
322 | -3.123786 .9373182 -3.33 0.001 -4.962946 -1.284627
342 | -.8636195 .234263 -3.69 0.000 -1.323279 -.4039601
362 | -.5318405 .4270072 -1.25 0.213 -1.369693 .306012
382 | -1.494054 .3593459 -4.16 0.000 -2.199145 -.7889633
422 | -2.206787 .7819839 -2.82 0.005 -3.741157 -.6724163
462 | -.4639588 .371411 -1.25 0.212 -1.192723 .2648055
482 | 17.32236 1.850085 9.36 0.000 13.69222 20.95251
502 | 18.53967 1.869587 9.92 0.000 14.87126 22.20808
522 | 16.36677 1.918048 8.53 0.000 12.60327 20.13027
542 | 16.3778 2.042399 8.02 0.000 12.37031 20.3853
562 | 18.28754 1.915968 9.54 0.000 14.52813 22.04696
582 | 15.60576 1.806977 8.64 0.000 12.0602 19.15132
642 | 16.57554 1.916811 8.65 0.000 12.81447 20.33662
662 | 14.76359 2.246944 6.57 0.000 10.35475 19.17243
682 | 14.68634 1.924644 7.63 0.000 10.9099 18.46279
702 | 16.5427 1.867609 8.86 0.000 12.87817 20.20723
722 | 15.57632 2.151586 7.24 0.000 11.35458 19.79805
742 | 17.8028 1.892876 9.41 0.000 14.08869 21.51691
782 | 17.96119 2.107447 8.52 0.000 13.82606 22.09632
802 | 18.48325 1.864747 9.91 0.000 14.82434 22.14217
822 | 10.71486 2.051017 5.22 0.000 6.690456 14.73926
842 | 17.02701 1.859256 9.16 0.000 13.37887 20.67515
862 | 18.19653 1.896292 9.60 0.000 14.47572 21.91734
882 | 17.1998 1.886856 9.12 0.000 13.49751 20.9021
902 | 15.36638 2.027847 7.58 0.000 11.38744 19.34532
942 | 13.25375 1.876095 7.06 0.000 9.572564 16.93493
982 | 18.7005 2.067611 9.04 0.000 14.64354 22.75747
1002 | 18.92481 2.106221 8.99 0.000 14.79209 23.05754
1022 | 19.14281 2.125253 9.01 0.000 14.97274 23.31288
1042 | 16.97194 2.08446 8.14 0.000 12.88191 21.06197
1062 | 19.49252 2.182661 8.93 0.000 15.20981 23.77523
1082 | 15.64647 1.927958 8.12 0.000 11.86352 19.42941
1142 | 17.18543 2.03635 8.44 0.000 13.1898 21.18105
1162 | 16.05208 2.311938 6.94 0.000 11.51571 20.58845
1182 | 17.68029 2.136105 8.28 0.000 13.48893 21.87165
1202 | 17.85704 2.114642 8.44 0.000 13.70779 22.00629
1222 | 17.87082 2.331433 7.67 0.000 13.2962 22.44545
1242 | 18.83522 2.148849 8.77 0.000 14.61885 23.05158
1262 | 16.14152 2.352586 6.86 0.000 11.52539 20.75765
1282 | 18.87313 2.2579 8.36 0.000 14.44279 23.30348
1302 | 15.31368 2.190501 6.99 0.000 11.01559 19.61177
1322 | 18.72343 2.089969 8.96 0.000 14.62259 22.82426
1342 | 13.36976 2.252268 5.94 0.000 8.950474 17.78906
1362 | 18.46869 2.088201 8.84 0.000 14.37133 22.56606
1382 | 19.33159 2.150773 8.99 0.000 15.11145 23.55173
1402 | 18.68609 2.14258 8.72 0.000 14.48203 22.89016
1462 | 17.82223 2.269354 7.85 0.000 13.36941 22.27504
1502 | 18.43933 2.252219 8.19 0.000 14.02013 22.85852
|
Year |
2001 | -.748402 .101271 -7.39 0.000 -.9471111 -.549693
2002 | -.8483074 .1023078 -8.29 0.000 -1.049051 -.6475641
2003 | -.7710353 .0917029 -8.41 0.000 -.9509701 -.5911004
2004 | -.0611945 .0478574 -1.28 0.201 -.1550979 .0327089
2005 | 1.154256 .1348003 8.56 0.000 .8897579 1.418755
2006 | 1.741284 .1870712 9.31 0.000 1.374222 2.108346
2007 | 1.759157 .1858813 9.46 0.000 1.39443 2.123884
2008 | 2.743824 .2842037 9.65 0.000 2.186174 3.301475
2009 | .902053 .1125425 8.02 0.000 .6812277 1.122878
2010 | 1.914014 .2074052 9.23 0.000 1.507053 2.320974
2011 | 2.780135 .2945969 9.44 0.000 2.202092 3.358179
2012 | 2.811493 .297932 9.44 0.000 2.226905 3.39608
2013 | 2.680963 .2862193 9.37 0.000 2.119358 3.242569
2014 | 2.207419 .2339382 9.44 0.000 1.748397 2.666441
2015 | -.2447681 .0480758 -5.09 0.000 -.3391001 -.1504361
2016 | -.9520614 .1085735 -8.77 0.000 -1.165099 -.7390238
2017 | -.2533055 .0517228 -4.90 0.000 -.3547934 -.1518175
2018 | .4760542 .0707698 6.73 0.000 .3371932 .6149153
2019 | 0 (omitted)
|
_cons | -66.92603 8.688792 -7.70 0.000 -83.97475 -49.87731
-------------------------------------------------------------------------------
. xtreg lnTourOD lnGDPpcO lnGDPpcD lnPopO lnPopD lnTransCost lnPrice lnSubPrice lnTCI Sites TS H1 H2 H3 H4 H5 i.Year, fe
note: 2019.Year omitted because of collinearity.
Fixed-effects (within) regression Number of obs = 1,183
Group variable: CountryPai~D Number of groups = 64
R-squared: Obs per group:
Within = 0.4551 min = 9
Between = 0.3304 avg = 18.5
Overall = 0.3410 max = 20
F(33, 1086) = 27.48
corr(u_i, Xb) = -0.9853 Prob > F = 0.0000
------------------------------------------------------------------------------
lnTourOD | Coefficient Std. err. t P>|t| [95% conf. interval]
-------------+----------------------------------------------------------------
lnGDPpcO | 2.717557 .4111537 6.61 0.000 1.910811 3.524302
lnGDPpcD | .5275286 .061168 8.62 0.000 .4075077 .6475496
lnPopO | 9.225091 .9058236 10.18 0.000 7.447728 11.00245
lnPopD | 1.156539 .1659294 6.97 0.000 .8309609 1.482118
lnTransCost | -4.295607 .4269914 -10.06 0.000 -5.133429 -3.457786
lnPrice | 2.109849 .4701474 4.49 0.000 1.187348 3.032349
lnSubPrice | -1.62552 .4638966 -3.50 0.000 -2.535755 -.7152852
lnTCI | .3534932 .211162 1.67 0.094 -.0608385 .7678248
Sites | .0096387 .0089492 1.08 0.282 -.007921 .0271985
TS | -.0185475 .0295509 -0.63 0.530 -.0765308 .0394359
H1 | -.0769672 .03478 -2.21 0.027 -.1452109 -.0087236
H2 | -.0374617 .0642931 -0.58 0.560 -.1636144 .088691
H3 | -.032145 .0497229 -0.65 0.518 -.1297088 .0654187
H4 | -.0855626 .0329932 -2.59 0.010 -.1503003 -.0208249
H5 | -.061267 .0347029 -1.77 0.078 -.1293594 .0068254
|
Year |
2001 | -.748402 .101271 -7.39 0.000 -.9471111 -.549693
2002 | -.8483074 .1023078 -8.29 0.000 -1.049051 -.6475641
2003 | -.7710353 .0917029 -8.41 0.000 -.9509701 -.5911004
2004 | -.0611945 .0478574 -1.28 0.201 -.1550979 .0327089
2005 | 1.154256 .1348003 8.56 0.000 .8897579 1.418755
2006 | 1.741284 .1870712 9.31 0.000 1.374222 2.108346
2007 | 1.759157 .1858813 9.46 0.000 1.39443 2.123884
2008 | 2.743824 .2842037 9.65 0.000 2.186174 3.301475
2009 | .902053 .1125425 8.02 0.000 .6812277 1.122878
2010 | 1.914014 .2074052 9.23 0.000 1.507053 2.320974
2011 | 2.780135 .2945969 9.44 0.000 2.202092 3.358179
2012 | 2.811493 .297932 9.44 0.000 2.226905 3.39608
2013 | 2.680963 .2862193 9.37 0.000 2.119358 3.242569
2014 | 2.207419 .2339382 9.44 0.000 1.748397 2.666441
2015 | -.2447681 .0480758 -5.09 0.000 -.3391001 -.1504361
2016 | -.9520614 .1085735 -8.77 0.000 -1.165099 -.7390238
2017 | -.2533055 .0517228 -4.90 0.000 -.3547934 -.1518175
2018 | .4760542 .0707698 6.73 0.000 .3371932 .6149153
2019 | 0 (omitted)
|
_cons | -56.34374 7.588916 -7.42 0.000 -71.23433 -41.45314
-------------+----------------------------------------------------------------
sigma_u | 9.3185714
sigma_e | .23862046
rho | .99934471 (fraction of variance due to u_i)
------------------------------------------------------------------------------
F test that all u_i=0: F(63, 1086) = 399.27 Prob > F = 0.0000
. ppml lnTourOD lnGDPpcO lnGDPpcD lnPopO lnPopD lnTransCost lnPrice lnSubPrice lnTCI Sites TS H1 H2 H3 H4 H5 CountryPairID* i.Year*
factor-variable and time-series operators not allowed
r(101);
. ppml lnTourOD lnGDPpcO lnGDPpcD lnPopO lnPopD lnTransCost lnPrice lnSubPrice lnTCI Sites TS H1 H2 H3 H4 H5 Year* CountryPairID*
note: checking the existence of the estimates
WARNING: lnTransCost has very large values, consider rescaling or recentering
WARNING: Sites has very large values, consider rescaling or recentering
WARNING: Year has very large values, consider rescaling or recentering
WARNING: CountryPairID has very large values, consider rescaling or recentering
Number of regressors excluded to ensure that the estimates exist: 13
Excluded regressors: Year1 Year20 CountryPairID6 CountryPairID21 CountryPairID23 CountryPairID31 CountryPairID33 CountryPairID38 CountryPairID46 CountryPairID54 CountryP
> airID69 CountryPairID71 CountryPairID72
Number of observations excluded: 0
note: starting ppml estimation
note: lnTourOD has noninteger values
Iteration 1: Deviance = 6.707953
Iteration 2: Deviance = 6.042355
Iteration 3: Deviance = 6.042223
Iteration 4: Deviance = 6.042223
Number of parameters: 97
Number of observations: 1183
Pseudo log-likelihood: -2482.2638
R-squared: .98651503
Option strict is: off
---------------------------------------------------------------------------------
| Robust
lnTourOD | Coefficient std. err. z P>|z| [95% conf. interval]
----------------+----------------------------------------------------------------
lnGDPpcO | .274305 .0350326 7.83 0.000 .2056425 .3429676
lnGDPpcD | .0439261 .0065638 6.69 0.000 .0310613 .0567909
lnPopO | .9683123 .0956746 10.12 0.000 .7807935 1.155831
lnPopD | .1069192 .0145691 7.34 0.000 .0783644 .1354741
lnTransCost | .471768 .0842369 5.60 0.000 .3066667 .6368693
lnPrice | .2141357 .0394344 5.43 0.000 .1368458 .2914256
lnSubPrice | -.1632469 .0377525 -4.32 0.000 -.2372404 -.0892534
lnTCI | .0359181 .0195707 1.84 0.066 -.0024397 .0742759
Sites | -.0000647 .0006666 -0.10 0.923 -.0013713 .0012419
TS | -.0004433 .0024171 -0.18 0.854 -.0051808 .0042942
H1 | -.0067327 .0032963 -2.04 0.041 -.0131934 -.000272
H2 | -.0029645 .0038942 -0.76 0.447 -.010597 .004668
H3 | -.0025061 .0040652 -0.62 0.538 -.0104738 .0054616
H4 | -.0067646 .0026531 -2.55 0.011 -.0119646 -.0015647
H5 | -.0067181 .0043178 -1.56 0.120 -.0151808 .0017447
Year | -.0343658 .004041 -8.50 0.000 -.042286 -.0264455
Year2 | .064027 .013443 4.76 0.000 .0376791 .0903749
Year3 | .0865668 .0165293 5.24 0.000 .05417 .1189636
Year4 | .0676842 .013837 4.89 0.000 .0405642 .0948041
Year5 | -.0168019 .0050068 -3.36 0.001 -.0266151 -.0069888
Year6 | -.178444 .0280236 -6.37 0.000 -.2333692 -.1235188
Year7 | -.2544472 .0408009 -6.24 0.000 -.3344156 -.1744789
Year8 | -.2702598 .0429121 -6.30 0.000 -.3543659 -.1861538
Year9 | -.381702 .0624648 -6.11 0.000 -.5041307 -.2592734
Year10 | -.1488381 .023277 -6.39 0.000 -.1944602 -.1032159
Year11 | -.2545224 .0421814 -6.03 0.000 -.3371965 -.1718483
Year12 | -.3491598 .0590609 -5.91 0.000 -.4649171 -.2334026
Year13 | -.3485069 .0593199 -5.88 0.000 -.4647718 -.232242
Year14 | -.3270161 .0559768 -5.84 0.000 -.4367287 -.2173035
Year15 | -.2676631 .0462077 -5.79 0.000 -.3582285 -.1770977
Year16 | .0192103 .0049836 3.85 0.000 .0094427 .0289779
Year17 | .1232687 .020209 6.10 0.000 .0836597 .1628777
Year18 | .0427657 .0075239 5.68 0.000 .0280192 .0575122
Year19 | -.0629389 .0119834 -5.25 0.000 -.0864259 -.039452
CountryPairID | .000784 .0001138 6.89 0.000 .0005611 .001007
CountryPairID1 | -.1513503 .0885438 -1.71 0.087 -.3248931 .0221924
CountryPairID2 | -.3121853 .0706953 -4.42 0.000 -.4507456 -.173625
CountryPairID3 | -.2759209 .0751584 -3.67 0.000 -.4232286 -.1286131
CountryPairID4 | -.0523507 .0188725 -2.77 0.006 -.0893401 -.0153612
CountryPairID5 | -.5125535 .0739699 -6.93 0.000 -.6575319 -.3675751
CountryPairID7 | -.3088989 .0594049 -5.20 0.000 -.4253303 -.1924675
CountryPairID8 | -.7082741 .0654487 -10.82 0.000 -.8365512 -.5799969
CountryPairID9 | -.6077438 .0762982 -7.97 0.000 -.7572855 -.4582022
CountryPairID10 | -.5659708 .0832601 -6.80 0.000 -.7291576 -.402784
CountryPairID11 | -.5217409 .081864 -6.37 0.000 -.6821913 -.3612905
CountryPairID12 | -.6228515 .0890467 -6.99 0.000 -.7973798 -.4483231
CountryPairID13 | -.5496784 .0891443 -6.17 0.000 -.724398 -.3749588
CountryPairID14 | -.3937446 .0953869 -4.13 0.000 -.5806995 -.2067898
CountryPairID15 | -1.102848 .0763011 -14.45 0.000 -1.252395 -.9533007
CountryPairID16 | -.6187287 .1075221 -5.75 0.000 -.8294681 -.4079892
CountryPairID17 | -.7083941 .0699052 -10.13 0.000 -.8454058 -.5713824
CountryPairID18 | -.530868 .0832753 -6.37 0.000 -.6940846 -.3676514
CountryPairID19 | -.6387337 .0887502 -7.20 0.000 -.8126809 -.4647865
CountryPairID20 | -.7644834 .0947208 -8.07 0.000 -.9501328 -.578834
CountryPairID22 | -.9183696 .0930518 -9.87 0.000 -1.100748 -.7359915
CountryPairID24 | -.6269331 .0853711 -7.34 0.000 -.7942574 -.4596089
CountryPairID25 | .4581512 .1095174 4.18 0.000 .2435011 .6728014
CountryPairID26 | .5913801 .08235 7.18 0.000 .4299771 .7527831
CountryPairID27 | .245649 .0837708 2.93 0.003 .0814613 .4098368
CountryPairID28 | .3091205 .0551386 5.61 0.000 .2010509 .4171901
CountryPairID29 | .4905723 .064423 7.61 0.000 .3643056 .616839
CountryPairID30 | .4058585 .0689593 5.89 0.000 .2707006 .5410163
CountryPairID32 | .1518851 .0810026 1.88 0.061 -.0068771 .3106473
CountryPairID34 | -.0663028 .0659998 -1.00 0.315 -.19566 .0630544
CountryPairID35 | .2069657 .0731334 2.83 0.005 .0636269 .3503045
CountryPairID36 | .1004634 .0680788 1.48 0.140 -.0329685 .2338953
CountryPairID37 | .2778923 .0683928 4.06 0.000 .1438449 .4119396
CountryPairID39 | .211647 .0914899 2.31 0.021 .0323302 .3909638
CountryPairID40 | .2925108 .1054384 2.77 0.006 .0858554 .4991663
CountryPairID41 | -.4349555 .0145565 -29.88 0.000 -.4634857 -.4064253
CountryPairID42 | .1672856 .0696553 2.40 0.016 .0307638 .3038074
CountryPairID43 | .2497919 .0559686 4.46 0.000 .1400955 .3594883
CountryPairID44 | .122763 .0622394 1.97 0.049 .0007761 .2447499
CountryPairID45 | -.0737719 .0454815 -1.62 0.105 -.162914 .0153701
CountryPairID47 | -.3313311 .0494313 -6.70 0.000 -.4282147 -.2344476
CountryPairID48 | .8667906 .0861818 10.06 0.000 .6978773 1.035704
CountryPairID49 | .8725128 .0749043 11.65 0.000 .725703 1.019323
CountryPairID50 | .8343374 .0680188 12.27 0.000 .7010229 .9676519
CountryPairID51 | 1.088733 .1087174 10.01 0.000 .8756513 1.301816
CountryPairID52 | .763998 .0615585 12.41 0.000 .6433455 .8846505
CountryPairID53 | 1.062218 .1052497 10.09 0.000 .8559325 1.268504
CountryPairID55 | .7948862 .0712869 11.15 0.000 .6551664 .9346059
CountryPairID56 | .7951749 .1253542 6.34 0.000 .5494852 1.040865
CountryPairID57 | .5423654 .052668 10.30 0.000 .439138 .6455929
CountryPairID58 | .5215951 .0550806 9.47 0.000 .4136391 .6295511
CountryPairID59 | .7245263 .1130033 6.41 0.000 .503044 .9460087
CountryPairID60 | .5398254 .0477718 11.30 0.000 .4461944 .6334564
CountryPairID61 | .5616629 .1186428 4.73 0.000 .3291273 .7941985
CountryPairID62 | .8059123 .1152184 6.99 0.000 .5800885 1.031736
CountryPairID63 | .2018674 .0514338 3.92 0.000 .101059 .3026758
CountryPairID64 | .4639136 .0621832 7.46 0.000 .3420368 .5857905
CountryPairID65 | .1760709 .086406 2.04 0.042 .0067183 .3454235
CountryPairID66 | .5504487 .0479856 11.47 0.000 .4563986 .6444987
CountryPairID67 | .5289964 .0444032 11.91 0.000 .4419677 .616025
CountryPairID68 | .418188 .0413731 10.11 0.000 .3370981 .4992779
CountryPairID70 | .265698 .0605822 4.39 0.000 .146959 .3844369
_cons | 52.00591 6.36391 8.17 0.000 39.53287 64.47894
---------------------------------------------------------------------------------
. ppml lnTourOD lnGDPpcO lnGDPpcD lnPopO lnPopD lnTransCost lnPrice lnSubPrice lnTCI Sites TS H1 H2 H3 H4 H5 CountryPairID* Year*
note: checking the existence of the estimates
WARNING: lnTransCost has very large values, consider rescaling or recentering
WARNING: Sites has very large values, consider rescaling or recentering
WARNING: CountryPairID has very large values, consider rescaling or recentering
WARNING: Year has very large values, consider rescaling or recentering
Number of regressors excluded to ensure that the estimates exist: 13
Excluded regressors: CountryPairID6 CountryPairID21 CountryPairID23 CountryPairID31 CountryPairID33 CountryPairID38 CountryPairID46 CountryPairID54 CountryPairID69 Count
> ryPairID71 CountryPairID72 Year1 Year20
Number of observations excluded: 0
note: starting ppml estimation
note: lnTourOD has noninteger values
Iteration 1: Deviance = 6.707953
Iteration 2: Deviance = 6.042355
Iteration 3: Deviance = 6.042223
Iteration 4: Deviance = 6.042223
Number of parameters: 97
Number of observations: 1183
Pseudo log-likelihood: -2482.2638
R-squared: .98651503
Option strict is: off
---------------------------------------------------------------------------------
| Robust
lnTourOD | Coefficient std. err. z P>|z| [95% conf. interval]
----------------+----------------------------------------------------------------
lnGDPpcO | .274305 .0350326 7.83 0.000 .2056425 .3429676
lnGDPpcD | .0439261 .0065638 6.69 0.000 .0310613 .0567909
lnPopO | .9683123 .0956746 10.12 0.000 .7807935 1.155831
lnPopD | .1069192 .0145691 7.34 0.000 .0783643 .1354741
lnTransCost | .471768 .0842369 5.60 0.000 .3066666 .6368693
lnPrice | .2141357 .0394344 5.43 0.000 .1368458 .2914257
lnSubPrice | -.1632469 .0377525 -4.32 0.000 -.2372404 -.0892534
lnTCI | .0359181 .0195707 1.84 0.066 -.0024397 .0742759
Sites | -.0000647 .0006666 -0.10 0.923 -.0013713 .0012419
TS | -.0004433 .0024171 -0.18 0.854 -.0051808 .0042942
H1 | -.0067327 .0032963 -2.04 0.041 -.0131934 -.000272
H2 | -.0029645 .0038942 -0.76 0.447 -.010597 .004668
H3 | -.0025061 .0040652 -0.62 0.538 -.0104738 .0054616
H4 | -.0067646 .0026531 -2.55 0.011 -.0119646 -.0015647
H5 | -.0067181 .0043178 -1.56 0.120 -.0151808 .0017447
CountryPairID | .000784 .0001138 6.89 0.000 .0005611 .001007
CountryPairID1 | -.1513503 .0885438 -1.71 0.087 -.3248931 .0221924
CountryPairID2 | -.3121853 .0706953 -4.42 0.000 -.4507456 -.173625
CountryPairID3 | -.2759209 .0751584 -3.67 0.000 -.4232286 -.1286131
CountryPairID4 | -.0523507 .0188725 -2.77 0.006 -.0893401 -.0153612
CountryPairID5 | -.5125535 .07397 -6.93 0.000 -.657532 -.367575
CountryPairID7 | -.3088989 .0594049 -5.20 0.000 -.4253304 -.1924675
CountryPairID8 | -.7082741 .0654487 -10.82 0.000 -.8365512 -.5799969
CountryPairID9 | -.6077438 .0762982 -7.97 0.000 -.7572855 -.4582021
CountryPairID10 | -.5659708 .0832601 -6.80 0.000 -.7291576 -.402784
CountryPairID11 | -.5217409 .081864 -6.37 0.000 -.6821913 -.3612905
CountryPairID12 | -.6228515 .0890467 -6.99 0.000 -.7973798 -.4483231
CountryPairID13 | -.5496784 .0891443 -6.17 0.000 -.724398 -.3749588
CountryPairID14 | -.3937446 .0953869 -4.13 0.000 -.5806995 -.2067898
CountryPairID15 | -1.102848 .0763011 -14.45 0.000 -1.252395 -.9533007
CountryPairID16 | -.6187287 .1075221 -5.75 0.000 -.8294682 -.4079892
CountryPairID17 | -.7083941 .0699052 -10.13 0.000 -.8454058 -.5713824
CountryPairID18 | -.530868 .0832753 -6.37 0.000 -.6940847 -.3676514
CountryPairID19 | -.6387337 .0887502 -7.20 0.000 -.8126809 -.4647864
CountryPairID20 | -.7644834 .0947208 -8.07 0.000 -.9501328 -.5788339
CountryPairID22 | -.9183696 .0930518 -9.87 0.000 -1.100748 -.7359915
CountryPairID24 | -.6269331 .0853711 -7.34 0.000 -.7942574 -.4596088
CountryPairID25 | .4581512 .1095174 4.18 0.000 .2435011 .6728014
CountryPairID26 | .5913801 .08235 7.18 0.000 .4299771 .7527831
CountryPairID27 | .245649 .0837708 2.93 0.003 .0814613 .4098368
CountryPairID28 | .3091205 .0551386 5.61 0.000 .2010509 .4171901
CountryPairID29 | .4905723 .064423 7.61 0.000 .3643056 .616839
CountryPairID30 | .4058585 .0689593 5.89 0.000 .2707006 .5410163
CountryPairID32 | .1518851 .0810026 1.88 0.061 -.0068771 .3106473
CountryPairID34 | -.0663028 .0659998 -1.00 0.315 -.19566 .0630544
CountryPairID35 | .2069657 .0731334 2.83 0.005 .0636269 .3503045
CountryPairID36 | .1004634 .0680788 1.48 0.140 -.0329685 .2338953
CountryPairID37 | .2778923 .0683928 4.06 0.000 .1438449 .4119396
CountryPairID39 | .211647 .0914899 2.31 0.021 .0323302 .3909638
CountryPairID40 | .2925108 .1054384 2.77 0.006 .0858554 .4991663
CountryPairID41 | -.4349555 .0145565 -29.88 0.000 -.4634857 -.4064253
CountryPairID42 | .1672856 .0696553 2.40 0.016 .0307638 .3038074
CountryPairID43 | .2497919 .0559686 4.46 0.000 .1400955 .3594884
CountryPairID44 | .122763 .0622394 1.97 0.049 .0007761 .2447499
CountryPairID45 | -.0737719 .0454815 -1.62 0.105 -.162914 .0153701
CountryPairID47 | -.3313311 .0494313 -6.70 0.000 -.4282147 -.2344476
CountryPairID48 | .8667906 .0861818 10.06 0.000 .6978773 1.035704
CountryPairID49 | .8725128 .0749043 11.65 0.000 .725703 1.019323
CountryPairID50 | .8343374 .0680189 12.27 0.000 .7010229 .9676519
CountryPairID51 | 1.088733 .1087174 10.01 0.000 .8756512 1.301816
CountryPairID52 | .763998 .0615585 12.41 0.000 .6433455 .8846505
CountryPairID53 | 1.062218 .1052497 10.09 0.000 .8559325 1.268504
CountryPairID55 | .7948862 .0712869 11.15 0.000 .6551664 .9346059
CountryPairID56 | .7951749 .1253542 6.34 0.000 .5494852 1.040865
CountryPairID57 | .5423654 .052668 10.30 0.000 .439138 .6455929
CountryPairID58 | .5215951 .0550806 9.47 0.000 .4136391 .6295511
CountryPairID59 | .7245263 .1130033 6.41 0.000 .503044 .9460087
CountryPairID60 | .5398254 .0477718 11.30 0.000 .4461944 .6334564
CountryPairID61 | .5616629 .1186428 4.73 0.000 .3291273 .7941985
CountryPairID62 | .8059123 .1152184 6.99 0.000 .5800885 1.031736
CountryPairID63 | .2018674 .0514338 3.92 0.000 .1010589 .3026759
CountryPairID64 | .4639136 .0621832 7.46 0.000 .3420368 .5857905
CountryPairID65 | .1760709 .086406 2.04 0.042 .0067183 .3454235
CountryPairID66 | .5504487 .0479856 11.47 0.000 .4563986 .6444987
CountryPairID67 | .5289964 .0444032 11.91 0.000 .4419677 .6160251
CountryPairID68 | .418188 .0413732 10.11 0.000 .3370981 .4992779
CountryPairID70 | .265698 .0605822 4.39 0.000 .146959 .3844369
Year | -.0343658 .004041 -8.50 0.000 -.042286 -.0264455
Year2 | .064027 .013443 4.76 0.000 .0376791 .0903749
Year3 | .0865668 .0165293 5.24 0.000 .05417 .1189636
Year4 | .0676842 .013837 4.89 0.000 .0405642 .0948041
Year5 | -.0168019 .0050068 -3.36 0.001 -.0266151 -.0069888
Year6 | -.178444 .0280236 -6.37 0.000 -.2333692 -.1235188
Year7 | -.2544472 .0408009 -6.24 0.000 -.3344156 -.1744789
Year8 | -.2702598 .0429121 -6.30 0.000 -.354366 -.1861537
Year9 | -.381702 .0624648 -6.11 0.000 -.5041307 -.2592733
Year10 | -.1488381 .023277 -6.39 0.000 -.1944602 -.1032159
Year11 | -.2545224 .0421814 -6.03 0.000 -.3371965 -.1718483
Year12 | -.3491598 .0590609 -5.91 0.000 -.4649171 -.2334025
Year13 | -.3485069 .0593199 -5.88 0.000 -.4647718 -.232242
Year14 | -.3270161 .0559768 -5.84 0.000 -.4367287 -.2173035
Year15 | -.2676631 .0462077 -5.79 0.000 -.3582285 -.1770977
Year16 | .0192103 .0049836 3.85 0.000 .0094427 .0289779
Year17 | .1232687 .020209 6.10 0.000 .0836597 .1628777
Year18 | .0427657 .0075239 5.68 0.000 .0280192 .0575122
Year19 | -.0629389 .0119834 -5.25 0.000 -.0864259 -.039452
_cons | 52.00591 6.363911 8.17 0.000 39.53287 64.47894
---------------------------------------------------------------------------------
I was also wondering for tourism is it better to have a country-fair fixed effect or fixed effect for both the origin and the destination?
reg lnTourOD lnGDPpcO lnGDPpcD lnPopO lnPopD lnTransCost lnPrice lnSubPrice lnTCI Sites TS H1 H2 H3 H4 H5 i.CountryPairID i.Year
note: 2019.Year omitted because of collinearity.
Source | SS df MS Number of obs = 1,183
-------------+---------------------------------- F(96, 1086) = 818.75
Model | 4475.46392 96 46.6194159 Prob > F = 0.0000
Residual | 61.8365422 1,086 .056939726 R-squared = 0.9864
-------------+---------------------------------- Adj R-squared = 0.9852
Total | 4537.30046 1,182 3.83866367 Root MSE = .23862
-------------------------------------------------------------------------------
lnTourOD | Coefficient Std. err. t P>|t| [95% conf. interval]
--------------+----------------------------------------------------------------
lnGDPpcO | 2.717557 .4111537 6.61 0.000 1.910811 3.524302
lnGDPpcD | .5275286 .061168 8.62 0.000 .4075077 .6475496
lnPopO | 9.225091 .9058236 10.18 0.000 7.447728 11.00245
lnPopD | 1.156539 .1659294 6.97 0.000 .8309609 1.482118
lnTransCost | -4.295607 .4269914 -10.06 0.000 -5.133429 -3.457786
lnPrice | 2.109849 .4701474 4.49 0.000 1.187348 3.032349
lnSubPrice | -1.62552 .4638966 -3.50 0.000 -2.535755 -.7152852
lnTCI | .3534932 .211162 1.67 0.094 -.0608385 .7678248
Sites | .0096387 .0089492 1.08 0.282 -.007921 .0271985
TS | -.0185475 .0295509 -0.63 0.530 -.0765308 .0394359
H1 | -.0769672 .03478 -2.21 0.027 -.1452109 -.0087236
H2 | -.0374617 .0642931 -0.58 0.560 -.1636144 .088691
H3 | -.032145 .0497229 -0.65 0.518 -.1297088 .0654187
H4 | -.0855626 .0329932 -2.59 0.010 -.1503003 -.0208249
H5 | -.061267 .0347029 -1.77 0.078 -.1293594 .0068254
|
CountryPairID |
22 | -1.00991 .3279028 -3.08 0.002 -1.653305 -.3665154
42 | .6530087 .342494 1.91 0.057 -.019016 1.325034
62 | -2.049483 .5783824 -3.54 0.000 -3.184356 -.9146093
82 | -1.137843 .5077468 -2.24 0.025 -2.134119 -.141567
102 | -4.758011 .4750966 -10.01 0.000 -5.690222 -3.8258
122 | -1.402693 .2891865 -4.85 0.000 -1.970121 -.8352656
142 | -7.183284 1.125562 -6.38 0.000 -9.391807 -4.974762
162 | -1.939191 .4024766 -4.82 0.000 -2.728911 -1.149471
182 | -1.675379 .288463 -5.81 0.000 -2.241387 -1.109372
202 | -2.832778 1.192914 -2.37 0.018 -5.173456 -.4921009
222 | -1.069242 .3532932 -3.03 0.003 -1.762456 -.3760274
242 | -3.134015 1.177257 -2.66 0.008 -5.44397 -.8240605
262 | -.810962 1.049564 -0.77 0.440 -2.870364 1.24844
282 | -6.115752 .590691 -10.35 0.000 -7.274777 -4.956727
302 | -1.271515 .1962176 -6.48 0.000 -1.656523 -.8865061
322 | -3.123786 .9373182 -3.33 0.001 -4.962946 -1.284627
342 | -.8636195 .234263 -3.69 0.000 -1.323279 -.4039601
362 | -.5318405 .4270072 -1.25 0.213 -1.369693 .306012
382 | -1.494054 .3593459 -4.16 0.000 -2.199145 -.7889633
422 | -2.206787 .7819839 -2.82 0.005 -3.741157 -.6724163
462 | -.4639588 .371411 -1.25 0.212 -1.192723 .2648055
482 | 17.32236 1.850085 9.36 0.000 13.69222 20.95251
502 | 18.53967 1.869587 9.92 0.000 14.87126 22.20808
522 | 16.36677 1.918048 8.53 0.000 12.60327 20.13027
542 | 16.3778 2.042399 8.02 0.000 12.37031 20.3853
562 | 18.28754 1.915968 9.54 0.000 14.52813 22.04696
582 | 15.60576 1.806977 8.64 0.000 12.0602 19.15132
642 | 16.57554 1.916811 8.65 0.000 12.81447 20.33662
662 | 14.76359 2.246944 6.57 0.000 10.35475 19.17243
682 | 14.68634 1.924644 7.63 0.000 10.9099 18.46279
702 | 16.5427 1.867609 8.86 0.000 12.87817 20.20723
722 | 15.57632 2.151586 7.24 0.000 11.35458 19.79805
742 | 17.8028 1.892876 9.41 0.000 14.08869 21.51691
782 | 17.96119 2.107447 8.52 0.000 13.82606 22.09632
802 | 18.48325 1.864747 9.91 0.000 14.82434 22.14217
822 | 10.71486 2.051017 5.22 0.000 6.690456 14.73926
842 | 17.02701 1.859256 9.16 0.000 13.37887 20.67515
862 | 18.19653 1.896292 9.60 0.000 14.47572 21.91734
882 | 17.1998 1.886856 9.12 0.000 13.49751 20.9021
902 | 15.36638 2.027847 7.58 0.000 11.38744 19.34532
942 | 13.25375 1.876095 7.06 0.000 9.572564 16.93493
982 | 18.7005 2.067611 9.04 0.000 14.64354 22.75747
1002 | 18.92481 2.106221 8.99 0.000 14.79209 23.05754
1022 | 19.14281 2.125253 9.01 0.000 14.97274 23.31288
1042 | 16.97194 2.08446 8.14 0.000 12.88191 21.06197
1062 | 19.49252 2.182661 8.93 0.000 15.20981 23.77523
1082 | 15.64647 1.927958 8.12 0.000 11.86352 19.42941
1142 | 17.18543 2.03635 8.44 0.000 13.1898 21.18105
1162 | 16.05208 2.311938 6.94 0.000 11.51571 20.58845
1182 | 17.68029 2.136105 8.28 0.000 13.48893 21.87165
1202 | 17.85704 2.114642 8.44 0.000 13.70779 22.00629
1222 | 17.87082 2.331433 7.67 0.000 13.2962 22.44545
1242 | 18.83522 2.148849 8.77 0.000 14.61885 23.05158
1262 | 16.14152 2.352586 6.86 0.000 11.52539 20.75765
1282 | 18.87313 2.2579 8.36 0.000 14.44279 23.30348
1302 | 15.31368 2.190501 6.99 0.000 11.01559 19.61177
1322 | 18.72343 2.089969 8.96 0.000 14.62259 22.82426
1342 | 13.36976 2.252268 5.94 0.000 8.950474 17.78906
1362 | 18.46869 2.088201 8.84 0.000 14.37133 22.56606
1382 | 19.33159 2.150773 8.99 0.000 15.11145 23.55173
1402 | 18.68609 2.14258 8.72 0.000 14.48203 22.89016
1462 | 17.82223 2.269354 7.85 0.000 13.36941 22.27504
1502 | 18.43933 2.252219 8.19 0.000 14.02013 22.85852
|
Year |
2001 | -.748402 .101271 -7.39 0.000 -.9471111 -.549693
2002 | -.8483074 .1023078 -8.29 0.000 -1.049051 -.6475641
2003 | -.7710353 .0917029 -8.41 0.000 -.9509701 -.5911004
2004 | -.0611945 .0478574 -1.28 0.201 -.1550979 .0327089
2005 | 1.154256 .1348003 8.56 0.000 .8897579 1.418755
2006 | 1.741284 .1870712 9.31 0.000 1.374222 2.108346
2007 | 1.759157 .1858813 9.46 0.000 1.39443 2.123884
2008 | 2.743824 .2842037 9.65 0.000 2.186174 3.301475
2009 | .902053 .1125425 8.02 0.000 .6812277 1.122878
2010 | 1.914014 .2074052 9.23 0.000 1.507053 2.320974
2011 | 2.780135 .2945969 9.44 0.000 2.202092 3.358179
2012 | 2.811493 .297932 9.44 0.000 2.226905 3.39608
2013 | 2.680963 .2862193 9.37 0.000 2.119358 3.242569
2014 | 2.207419 .2339382 9.44 0.000 1.748397 2.666441
2015 | -.2447681 .0480758 -5.09 0.000 -.3391001 -.1504361
2016 | -.9520614 .1085735 -8.77 0.000 -1.165099 -.7390238
2017 | -.2533055 .0517228 -4.90 0.000 -.3547934 -.1518175
2018 | .4760542 .0707698 6.73 0.000 .3371932 .6149153
2019 | 0 (omitted)
|
_cons | -66.92603 8.688792 -7.70 0.000 -83.97475 -49.87731
-------------------------------------------------------------------------------
. xtreg lnTourOD lnGDPpcO lnGDPpcD lnPopO lnPopD lnTransCost lnPrice lnSubPrice lnTCI Sites TS H1 H2 H3 H4 H5 i.Year, fe
note: 2019.Year omitted because of collinearity.
Fixed-effects (within) regression Number of obs = 1,183
Group variable: CountryPai~D Number of groups = 64
R-squared: Obs per group:
Within = 0.4551 min = 9
Between = 0.3304 avg = 18.5
Overall = 0.3410 max = 20
F(33, 1086) = 27.48
corr(u_i, Xb) = -0.9853 Prob > F = 0.0000
------------------------------------------------------------------------------
lnTourOD | Coefficient Std. err. t P>|t| [95% conf. interval]
-------------+----------------------------------------------------------------
lnGDPpcO | 2.717557 .4111537 6.61 0.000 1.910811 3.524302
lnGDPpcD | .5275286 .061168 8.62 0.000 .4075077 .6475496
lnPopO | 9.225091 .9058236 10.18 0.000 7.447728 11.00245
lnPopD | 1.156539 .1659294 6.97 0.000 .8309609 1.482118
lnTransCost | -4.295607 .4269914 -10.06 0.000 -5.133429 -3.457786
lnPrice | 2.109849 .4701474 4.49 0.000 1.187348 3.032349
lnSubPrice | -1.62552 .4638966 -3.50 0.000 -2.535755 -.7152852
lnTCI | .3534932 .211162 1.67 0.094 -.0608385 .7678248
Sites | .0096387 .0089492 1.08 0.282 -.007921 .0271985
TS | -.0185475 .0295509 -0.63 0.530 -.0765308 .0394359
H1 | -.0769672 .03478 -2.21 0.027 -.1452109 -.0087236
H2 | -.0374617 .0642931 -0.58 0.560 -.1636144 .088691
H3 | -.032145 .0497229 -0.65 0.518 -.1297088 .0654187
H4 | -.0855626 .0329932 -2.59 0.010 -.1503003 -.0208249
H5 | -.061267 .0347029 -1.77 0.078 -.1293594 .0068254
|
Year |
2001 | -.748402 .101271 -7.39 0.000 -.9471111 -.549693
2002 | -.8483074 .1023078 -8.29 0.000 -1.049051 -.6475641
2003 | -.7710353 .0917029 -8.41 0.000 -.9509701 -.5911004
2004 | -.0611945 .0478574 -1.28 0.201 -.1550979 .0327089
2005 | 1.154256 .1348003 8.56 0.000 .8897579 1.418755
2006 | 1.741284 .1870712 9.31 0.000 1.374222 2.108346
2007 | 1.759157 .1858813 9.46 0.000 1.39443 2.123884
2008 | 2.743824 .2842037 9.65 0.000 2.186174 3.301475
2009 | .902053 .1125425 8.02 0.000 .6812277 1.122878
2010 | 1.914014 .2074052 9.23 0.000 1.507053 2.320974
2011 | 2.780135 .2945969 9.44 0.000 2.202092 3.358179
2012 | 2.811493 .297932 9.44 0.000 2.226905 3.39608
2013 | 2.680963 .2862193 9.37 0.000 2.119358 3.242569
2014 | 2.207419 .2339382 9.44 0.000 1.748397 2.666441
2015 | -.2447681 .0480758 -5.09 0.000 -.3391001 -.1504361
2016 | -.9520614 .1085735 -8.77 0.000 -1.165099 -.7390238
2017 | -.2533055 .0517228 -4.90 0.000 -.3547934 -.1518175
2018 | .4760542 .0707698 6.73 0.000 .3371932 .6149153
2019 | 0 (omitted)
|
_cons | -56.34374 7.588916 -7.42 0.000 -71.23433 -41.45314
-------------+----------------------------------------------------------------
sigma_u | 9.3185714
sigma_e | .23862046
rho | .99934471 (fraction of variance due to u_i)
------------------------------------------------------------------------------
F test that all u_i=0: F(63, 1086) = 399.27 Prob > F = 0.0000
. ppml lnTourOD lnGDPpcO lnGDPpcD lnPopO lnPopD lnTransCost lnPrice lnSubPrice lnTCI Sites TS H1 H2 H3 H4 H5 CountryPairID* i.Year*
factor-variable and time-series operators not allowed
r(101);
. ppml lnTourOD lnGDPpcO lnGDPpcD lnPopO lnPopD lnTransCost lnPrice lnSubPrice lnTCI Sites TS H1 H2 H3 H4 H5 Year* CountryPairID*
note: checking the existence of the estimates
WARNING: lnTransCost has very large values, consider rescaling or recentering
WARNING: Sites has very large values, consider rescaling or recentering
WARNING: Year has very large values, consider rescaling or recentering
WARNING: CountryPairID has very large values, consider rescaling or recentering
Number of regressors excluded to ensure that the estimates exist: 13
Excluded regressors: Year1 Year20 CountryPairID6 CountryPairID21 CountryPairID23 CountryPairID31 CountryPairID33 CountryPairID38 CountryPairID46 CountryPairID54 CountryP
> airID69 CountryPairID71 CountryPairID72
Number of observations excluded: 0
note: starting ppml estimation
note: lnTourOD has noninteger values
Iteration 1: Deviance = 6.707953
Iteration 2: Deviance = 6.042355
Iteration 3: Deviance = 6.042223
Iteration 4: Deviance = 6.042223
Number of parameters: 97
Number of observations: 1183
Pseudo log-likelihood: -2482.2638
R-squared: .98651503
Option strict is: off
---------------------------------------------------------------------------------
| Robust
lnTourOD | Coefficient std. err. z P>|z| [95% conf. interval]
----------------+----------------------------------------------------------------
lnGDPpcO | .274305 .0350326 7.83 0.000 .2056425 .3429676
lnGDPpcD | .0439261 .0065638 6.69 0.000 .0310613 .0567909
lnPopO | .9683123 .0956746 10.12 0.000 .7807935 1.155831
lnPopD | .1069192 .0145691 7.34 0.000 .0783644 .1354741
lnTransCost | .471768 .0842369 5.60 0.000 .3066667 .6368693
lnPrice | .2141357 .0394344 5.43 0.000 .1368458 .2914256
lnSubPrice | -.1632469 .0377525 -4.32 0.000 -.2372404 -.0892534
lnTCI | .0359181 .0195707 1.84 0.066 -.0024397 .0742759
Sites | -.0000647 .0006666 -0.10 0.923 -.0013713 .0012419
TS | -.0004433 .0024171 -0.18 0.854 -.0051808 .0042942
H1 | -.0067327 .0032963 -2.04 0.041 -.0131934 -.000272
H2 | -.0029645 .0038942 -0.76 0.447 -.010597 .004668
H3 | -.0025061 .0040652 -0.62 0.538 -.0104738 .0054616
H4 | -.0067646 .0026531 -2.55 0.011 -.0119646 -.0015647
H5 | -.0067181 .0043178 -1.56 0.120 -.0151808 .0017447
Year | -.0343658 .004041 -8.50 0.000 -.042286 -.0264455
Year2 | .064027 .013443 4.76 0.000 .0376791 .0903749
Year3 | .0865668 .0165293 5.24 0.000 .05417 .1189636
Year4 | .0676842 .013837 4.89 0.000 .0405642 .0948041
Year5 | -.0168019 .0050068 -3.36 0.001 -.0266151 -.0069888
Year6 | -.178444 .0280236 -6.37 0.000 -.2333692 -.1235188
Year7 | -.2544472 .0408009 -6.24 0.000 -.3344156 -.1744789
Year8 | -.2702598 .0429121 -6.30 0.000 -.3543659 -.1861538
Year9 | -.381702 .0624648 -6.11 0.000 -.5041307 -.2592734
Year10 | -.1488381 .023277 -6.39 0.000 -.1944602 -.1032159
Year11 | -.2545224 .0421814 -6.03 0.000 -.3371965 -.1718483
Year12 | -.3491598 .0590609 -5.91 0.000 -.4649171 -.2334026
Year13 | -.3485069 .0593199 -5.88 0.000 -.4647718 -.232242
Year14 | -.3270161 .0559768 -5.84 0.000 -.4367287 -.2173035
Year15 | -.2676631 .0462077 -5.79 0.000 -.3582285 -.1770977
Year16 | .0192103 .0049836 3.85 0.000 .0094427 .0289779
Year17 | .1232687 .020209 6.10 0.000 .0836597 .1628777
Year18 | .0427657 .0075239 5.68 0.000 .0280192 .0575122
Year19 | -.0629389 .0119834 -5.25 0.000 -.0864259 -.039452
CountryPairID | .000784 .0001138 6.89 0.000 .0005611 .001007
CountryPairID1 | -.1513503 .0885438 -1.71 0.087 -.3248931 .0221924
CountryPairID2 | -.3121853 .0706953 -4.42 0.000 -.4507456 -.173625
CountryPairID3 | -.2759209 .0751584 -3.67 0.000 -.4232286 -.1286131
CountryPairID4 | -.0523507 .0188725 -2.77 0.006 -.0893401 -.0153612
CountryPairID5 | -.5125535 .0739699 -6.93 0.000 -.6575319 -.3675751
CountryPairID7 | -.3088989 .0594049 -5.20 0.000 -.4253303 -.1924675
CountryPairID8 | -.7082741 .0654487 -10.82 0.000 -.8365512 -.5799969
CountryPairID9 | -.6077438 .0762982 -7.97 0.000 -.7572855 -.4582022
CountryPairID10 | -.5659708 .0832601 -6.80 0.000 -.7291576 -.402784
CountryPairID11 | -.5217409 .081864 -6.37 0.000 -.6821913 -.3612905
CountryPairID12 | -.6228515 .0890467 -6.99 0.000 -.7973798 -.4483231
CountryPairID13 | -.5496784 .0891443 -6.17 0.000 -.724398 -.3749588
CountryPairID14 | -.3937446 .0953869 -4.13 0.000 -.5806995 -.2067898
CountryPairID15 | -1.102848 .0763011 -14.45 0.000 -1.252395 -.9533007
CountryPairID16 | -.6187287 .1075221 -5.75 0.000 -.8294681 -.4079892
CountryPairID17 | -.7083941 .0699052 -10.13 0.000 -.8454058 -.5713824
CountryPairID18 | -.530868 .0832753 -6.37 0.000 -.6940846 -.3676514
CountryPairID19 | -.6387337 .0887502 -7.20 0.000 -.8126809 -.4647865
CountryPairID20 | -.7644834 .0947208 -8.07 0.000 -.9501328 -.578834
CountryPairID22 | -.9183696 .0930518 -9.87 0.000 -1.100748 -.7359915
CountryPairID24 | -.6269331 .0853711 -7.34 0.000 -.7942574 -.4596089
CountryPairID25 | .4581512 .1095174 4.18 0.000 .2435011 .6728014
CountryPairID26 | .5913801 .08235 7.18 0.000 .4299771 .7527831
CountryPairID27 | .245649 .0837708 2.93 0.003 .0814613 .4098368
CountryPairID28 | .3091205 .0551386 5.61 0.000 .2010509 .4171901
CountryPairID29 | .4905723 .064423 7.61 0.000 .3643056 .616839
CountryPairID30 | .4058585 .0689593 5.89 0.000 .2707006 .5410163
CountryPairID32 | .1518851 .0810026 1.88 0.061 -.0068771 .3106473
CountryPairID34 | -.0663028 .0659998 -1.00 0.315 -.19566 .0630544
CountryPairID35 | .2069657 .0731334 2.83 0.005 .0636269 .3503045
CountryPairID36 | .1004634 .0680788 1.48 0.140 -.0329685 .2338953
CountryPairID37 | .2778923 .0683928 4.06 0.000 .1438449 .4119396
CountryPairID39 | .211647 .0914899 2.31 0.021 .0323302 .3909638
CountryPairID40 | .2925108 .1054384 2.77 0.006 .0858554 .4991663
CountryPairID41 | -.4349555 .0145565 -29.88 0.000 -.4634857 -.4064253
CountryPairID42 | .1672856 .0696553 2.40 0.016 .0307638 .3038074
CountryPairID43 | .2497919 .0559686 4.46 0.000 .1400955 .3594883
CountryPairID44 | .122763 .0622394 1.97 0.049 .0007761 .2447499
CountryPairID45 | -.0737719 .0454815 -1.62 0.105 -.162914 .0153701
CountryPairID47 | -.3313311 .0494313 -6.70 0.000 -.4282147 -.2344476
CountryPairID48 | .8667906 .0861818 10.06 0.000 .6978773 1.035704
CountryPairID49 | .8725128 .0749043 11.65 0.000 .725703 1.019323
CountryPairID50 | .8343374 .0680188 12.27 0.000 .7010229 .9676519
CountryPairID51 | 1.088733 .1087174 10.01 0.000 .8756513 1.301816
CountryPairID52 | .763998 .0615585 12.41 0.000 .6433455 .8846505
CountryPairID53 | 1.062218 .1052497 10.09 0.000 .8559325 1.268504
CountryPairID55 | .7948862 .0712869 11.15 0.000 .6551664 .9346059
CountryPairID56 | .7951749 .1253542 6.34 0.000 .5494852 1.040865
CountryPairID57 | .5423654 .052668 10.30 0.000 .439138 .6455929
CountryPairID58 | .5215951 .0550806 9.47 0.000 .4136391 .6295511
CountryPairID59 | .7245263 .1130033 6.41 0.000 .503044 .9460087
CountryPairID60 | .5398254 .0477718 11.30 0.000 .4461944 .6334564
CountryPairID61 | .5616629 .1186428 4.73 0.000 .3291273 .7941985
CountryPairID62 | .8059123 .1152184 6.99 0.000 .5800885 1.031736
CountryPairID63 | .2018674 .0514338 3.92 0.000 .101059 .3026758
CountryPairID64 | .4639136 .0621832 7.46 0.000 .3420368 .5857905
CountryPairID65 | .1760709 .086406 2.04 0.042 .0067183 .3454235
CountryPairID66 | .5504487 .0479856 11.47 0.000 .4563986 .6444987
CountryPairID67 | .5289964 .0444032 11.91 0.000 .4419677 .616025
CountryPairID68 | .418188 .0413731 10.11 0.000 .3370981 .4992779
CountryPairID70 | .265698 .0605822 4.39 0.000 .146959 .3844369
_cons | 52.00591 6.36391 8.17 0.000 39.53287 64.47894
---------------------------------------------------------------------------------
. ppml lnTourOD lnGDPpcO lnGDPpcD lnPopO lnPopD lnTransCost lnPrice lnSubPrice lnTCI Sites TS H1 H2 H3 H4 H5 CountryPairID* Year*
note: checking the existence of the estimates
WARNING: lnTransCost has very large values, consider rescaling or recentering
WARNING: Sites has very large values, consider rescaling or recentering
WARNING: CountryPairID has very large values, consider rescaling or recentering
WARNING: Year has very large values, consider rescaling or recentering
Number of regressors excluded to ensure that the estimates exist: 13
Excluded regressors: CountryPairID6 CountryPairID21 CountryPairID23 CountryPairID31 CountryPairID33 CountryPairID38 CountryPairID46 CountryPairID54 CountryPairID69 Count
> ryPairID71 CountryPairID72 Year1 Year20
Number of observations excluded: 0
note: starting ppml estimation
note: lnTourOD has noninteger values
Iteration 1: Deviance = 6.707953
Iteration 2: Deviance = 6.042355
Iteration 3: Deviance = 6.042223
Iteration 4: Deviance = 6.042223
Number of parameters: 97
Number of observations: 1183
Pseudo log-likelihood: -2482.2638
R-squared: .98651503
Option strict is: off
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| Robust
lnTourOD | Coefficient std. err. z P>|z| [95% conf. interval]
----------------+----------------------------------------------------------------
lnGDPpcO | .274305 .0350326 7.83 0.000 .2056425 .3429676
lnGDPpcD | .0439261 .0065638 6.69 0.000 .0310613 .0567909
lnPopO | .9683123 .0956746 10.12 0.000 .7807935 1.155831
lnPopD | .1069192 .0145691 7.34 0.000 .0783643 .1354741
lnTransCost | .471768 .0842369 5.60 0.000 .3066666 .6368693
lnPrice | .2141357 .0394344 5.43 0.000 .1368458 .2914257
lnSubPrice | -.1632469 .0377525 -4.32 0.000 -.2372404 -.0892534
lnTCI | .0359181 .0195707 1.84 0.066 -.0024397 .0742759
Sites | -.0000647 .0006666 -0.10 0.923 -.0013713 .0012419
TS | -.0004433 .0024171 -0.18 0.854 -.0051808 .0042942
H1 | -.0067327 .0032963 -2.04 0.041 -.0131934 -.000272
H2 | -.0029645 .0038942 -0.76 0.447 -.010597 .004668
H3 | -.0025061 .0040652 -0.62 0.538 -.0104738 .0054616
H4 | -.0067646 .0026531 -2.55 0.011 -.0119646 -.0015647
H5 | -.0067181 .0043178 -1.56 0.120 -.0151808 .0017447
CountryPairID | .000784 .0001138 6.89 0.000 .0005611 .001007
CountryPairID1 | -.1513503 .0885438 -1.71 0.087 -.3248931 .0221924
CountryPairID2 | -.3121853 .0706953 -4.42 0.000 -.4507456 -.173625
CountryPairID3 | -.2759209 .0751584 -3.67 0.000 -.4232286 -.1286131
CountryPairID4 | -.0523507 .0188725 -2.77 0.006 -.0893401 -.0153612
CountryPairID5 | -.5125535 .07397 -6.93 0.000 -.657532 -.367575
CountryPairID7 | -.3088989 .0594049 -5.20 0.000 -.4253304 -.1924675
CountryPairID8 | -.7082741 .0654487 -10.82 0.000 -.8365512 -.5799969
CountryPairID9 | -.6077438 .0762982 -7.97 0.000 -.7572855 -.4582021
CountryPairID10 | -.5659708 .0832601 -6.80 0.000 -.7291576 -.402784
CountryPairID11 | -.5217409 .081864 -6.37 0.000 -.6821913 -.3612905
CountryPairID12 | -.6228515 .0890467 -6.99 0.000 -.7973798 -.4483231
CountryPairID13 | -.5496784 .0891443 -6.17 0.000 -.724398 -.3749588
CountryPairID14 | -.3937446 .0953869 -4.13 0.000 -.5806995 -.2067898
CountryPairID15 | -1.102848 .0763011 -14.45 0.000 -1.252395 -.9533007
CountryPairID16 | -.6187287 .1075221 -5.75 0.000 -.8294682 -.4079892
CountryPairID17 | -.7083941 .0699052 -10.13 0.000 -.8454058 -.5713824
CountryPairID18 | -.530868 .0832753 -6.37 0.000 -.6940847 -.3676514
CountryPairID19 | -.6387337 .0887502 -7.20 0.000 -.8126809 -.4647864
CountryPairID20 | -.7644834 .0947208 -8.07 0.000 -.9501328 -.5788339
CountryPairID22 | -.9183696 .0930518 -9.87 0.000 -1.100748 -.7359915
CountryPairID24 | -.6269331 .0853711 -7.34 0.000 -.7942574 -.4596088
CountryPairID25 | .4581512 .1095174 4.18 0.000 .2435011 .6728014
CountryPairID26 | .5913801 .08235 7.18 0.000 .4299771 .7527831
CountryPairID27 | .245649 .0837708 2.93 0.003 .0814613 .4098368
CountryPairID28 | .3091205 .0551386 5.61 0.000 .2010509 .4171901
CountryPairID29 | .4905723 .064423 7.61 0.000 .3643056 .616839
CountryPairID30 | .4058585 .0689593 5.89 0.000 .2707006 .5410163
CountryPairID32 | .1518851 .0810026 1.88 0.061 -.0068771 .3106473
CountryPairID34 | -.0663028 .0659998 -1.00 0.315 -.19566 .0630544
CountryPairID35 | .2069657 .0731334 2.83 0.005 .0636269 .3503045
CountryPairID36 | .1004634 .0680788 1.48 0.140 -.0329685 .2338953
CountryPairID37 | .2778923 .0683928 4.06 0.000 .1438449 .4119396
CountryPairID39 | .211647 .0914899 2.31 0.021 .0323302 .3909638
CountryPairID40 | .2925108 .1054384 2.77 0.006 .0858554 .4991663
CountryPairID41 | -.4349555 .0145565 -29.88 0.000 -.4634857 -.4064253
CountryPairID42 | .1672856 .0696553 2.40 0.016 .0307638 .3038074
CountryPairID43 | .2497919 .0559686 4.46 0.000 .1400955 .3594884
CountryPairID44 | .122763 .0622394 1.97 0.049 .0007761 .2447499
CountryPairID45 | -.0737719 .0454815 -1.62 0.105 -.162914 .0153701
CountryPairID47 | -.3313311 .0494313 -6.70 0.000 -.4282147 -.2344476
CountryPairID48 | .8667906 .0861818 10.06 0.000 .6978773 1.035704
CountryPairID49 | .8725128 .0749043 11.65 0.000 .725703 1.019323
CountryPairID50 | .8343374 .0680189 12.27 0.000 .7010229 .9676519
CountryPairID51 | 1.088733 .1087174 10.01 0.000 .8756512 1.301816
CountryPairID52 | .763998 .0615585 12.41 0.000 .6433455 .8846505
CountryPairID53 | 1.062218 .1052497 10.09 0.000 .8559325 1.268504
CountryPairID55 | .7948862 .0712869 11.15 0.000 .6551664 .9346059
CountryPairID56 | .7951749 .1253542 6.34 0.000 .5494852 1.040865
CountryPairID57 | .5423654 .052668 10.30 0.000 .439138 .6455929
CountryPairID58 | .5215951 .0550806 9.47 0.000 .4136391 .6295511
CountryPairID59 | .7245263 .1130033 6.41 0.000 .503044 .9460087
CountryPairID60 | .5398254 .0477718 11.30 0.000 .4461944 .6334564
CountryPairID61 | .5616629 .1186428 4.73 0.000 .3291273 .7941985
CountryPairID62 | .8059123 .1152184 6.99 0.000 .5800885 1.031736
CountryPairID63 | .2018674 .0514338 3.92 0.000 .1010589 .3026759
CountryPairID64 | .4639136 .0621832 7.46 0.000 .3420368 .5857905
CountryPairID65 | .1760709 .086406 2.04 0.042 .0067183 .3454235
CountryPairID66 | .5504487 .0479856 11.47 0.000 .4563986 .6444987
CountryPairID67 | .5289964 .0444032 11.91 0.000 .4419677 .6160251
CountryPairID68 | .418188 .0413732 10.11 0.000 .3370981 .4992779
CountryPairID70 | .265698 .0605822 4.39 0.000 .146959 .3844369
Year | -.0343658 .004041 -8.50 0.000 -.042286 -.0264455
Year2 | .064027 .013443 4.76 0.000 .0376791 .0903749
Year3 | .0865668 .0165293 5.24 0.000 .05417 .1189636
Year4 | .0676842 .013837 4.89 0.000 .0405642 .0948041
Year5 | -.0168019 .0050068 -3.36 0.001 -.0266151 -.0069888
Year6 | -.178444 .0280236 -6.37 0.000 -.2333692 -.1235188
Year7 | -.2544472 .0408009 -6.24 0.000 -.3344156 -.1744789
Year8 | -.2702598 .0429121 -6.30 0.000 -.354366 -.1861537
Year9 | -.381702 .0624648 -6.11 0.000 -.5041307 -.2592733
Year10 | -.1488381 .023277 -6.39 0.000 -.1944602 -.1032159
Year11 | -.2545224 .0421814 -6.03 0.000 -.3371965 -.1718483
Year12 | -.3491598 .0590609 -5.91 0.000 -.4649171 -.2334025
Year13 | -.3485069 .0593199 -5.88 0.000 -.4647718 -.232242
Year14 | -.3270161 .0559768 -5.84 0.000 -.4367287 -.2173035
Year15 | -.2676631 .0462077 -5.79 0.000 -.3582285 -.1770977
Year16 | .0192103 .0049836 3.85 0.000 .0094427 .0289779
Year17 | .1232687 .020209 6.10 0.000 .0836597 .1628777
Year18 | .0427657 .0075239 5.68 0.000 .0280192 .0575122
Year19 | -.0629389 .0119834 -5.25 0.000 -.0864259 -.039452
_cons | 52.00591 6.363911 8.17 0.000 39.53287 64.47894
---------------------------------------------------------------------------------
Comment