Food Prices and Overweight Patterns in Italy



Figure 6: Long-run patterns of substitution elasticities of healthy and unhealthy food categories.

Table 1: Cointegration rank test statistics for AI system applied to Italian survey data with regional
(1a) and national price indices (1b)

Specification 1a - Regional price index.

H0

Johansen Trace Statistic Test

S&L Cointegration Test

r=0

137.19

[0.000]

108.43

[0.000]

r=1

78.41

[0.037]

58.89

[0.061]

r=2

50.95

[0.092]

34.99

[0.152]

r=3

27.51

[0.267]

17.62

[0.277]

r=4

9.97

[0.647]

5.03

[0.566]

r=5

3.56

[0.493]

0.46

[0.556]

Specification 1b - National price index.

H0

Johansen Trace Statistic Test

S&L Cointegration Test

r=0

144.68

[0.000]

92.14

[0.010]

r=1

79.75

[0.028]

61.55

[0.036]

r=2

38.40

[0.557]

33.36

[0.207]

r=3

18.94

[0.787]

13.96

[0.547]

r=4

9.96

[0.649]

6.16

[0.421]

r=5

3.38

[0.523]

0.05

[0.867]

Notes: r is number of cointegrating relations. Johansen trace tests and Saikkonen & LUtkepohl tests
are reported for identification of AI model. These values are estimated with a
V AR(3) with restricted
intercepts and no trends in six endogenous variables
w1 , w2, logp1 , logp2 , logp3 and log(Y /p). Seasonal
centred dummies are included. P-values of the are shown in square brackets.

38



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