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0306E - Faculty of Social Sciences - Université d'Ottawa

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Table A.1. ADF Unit Root Test<br />

Log(DOM) Log(TRANS) Log(INT)<br />

Series in Levels<br />

t-statistic<br />

(p¡value)<br />

¡1:30<br />

(0:88)<br />

¡2:12<br />

(0:53)<br />

¡1:90<br />

(0:65)<br />

Series in First Di¤erences<br />

t-statistic<br />

(p¡value)<br />

¡4:03<br />

(0:001)<br />

¡3:84<br />

(0:02)<br />

¡6:38<br />

(0:00)<br />

Figures in parantesis correspond to one-sided p-values <strong>of</strong> the t-stat value<br />

calculated using Davidson and MacKinnon (1993). The lag order with the<br />

minimum BIC was selected with a maximum <strong>of</strong> 14 lags. All samples correspond<br />

to 1985:12-2001:02 (207 observations) which is the sample used in<br />

forecast evaluation.<br />

Table A.2. Seasonal Unit Root Tests<br />

Domestic<br />

k AIC = 24<br />

Transborder<br />

k AIC = 26<br />

International<br />

k AIC = 14<br />

t b¼1 -1.59 -2.52 -3.02<br />

t b¼2 -0.79 -0.83 -0.24<br />

F b¼3 ;b¼ 4<br />

2.40 0.01 2.56<br />

F b¼5 ;b¼ 6<br />

0.55 4.92 6.67 ¤¤<br />

F b¼7 ;b¼ 8<br />

6.54 ¤¤ 1.03 0.29<br />

F b¼9 ;b¼ 10<br />

3.45 6.94 ¤¤ 10.29 ¤¤¤<br />

F b¼11;b¼12 0.39 0.39 4.44<br />

¤¤ and ¤¤¤ denotes signi…cance at 5% and 1% respectively. The …lter<br />

applied to each series is: a) Domestic:<br />

(1 ¡ L)(1 + L)(1 + L 2 )(1 + L + L 2 )(1 + p 3 + L 2 )(1 ¡ p 3L + L 2 ); b)<br />

Transborder: (1 ¡L)(1+L)(1+ L 2 )(1 +L + L 2 )(1 ¡L + L 2 )(1 ¡ p 3L +L 2 );<br />

c) International: (1 ¡ L)(1 + L)(1 + L 2 )(1 ¡ L + L 2 )(1 ¡ p 3L + L 2 ):<br />

21

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