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.

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