Table 2.

Aggregate decomposition based on the FFL approach

 OBRIF decompositions
Location:µQ(75)Q(90)Q(95)
Total change (⁠|$\hat{Q}_{17\_18}^{\tau}-\hat{Q}_{08\_09}^{\tau}$|⁠)0.72***0.93***1.28***1.51***
Total pricing effect (⁠|$\hat\Delta^{\tau}_{S,\text{FFL}}$|⁠)0.74***0.98***1.32***1.56***
Total composition effect (⁠|$\hat\Delta^{\tau}_{X,\text{FFL}}$|⁠)−0.02***−0.04***−0.00−0.01
Total remainder term (⁠|$\hat{R}^{\tau}$|⁠)0.00−0.00−0.03−0.04
 OBRIF decompositions
Location:µQ(75)Q(90)Q(95)
Total change (⁠|$\hat{Q}_{17\_18}^{\tau}-\hat{Q}_{08\_09}^{\tau}$|⁠)0.72***0.93***1.28***1.51***
Total pricing effect (⁠|$\hat\Delta^{\tau}_{S,\text{FFL}}$|⁠)0.74***0.98***1.32***1.56***
Total composition effect (⁠|$\hat\Delta^{\tau}_{X,\text{FFL}}$|⁠)−0.02***−0.04***−0.00−0.01
Total remainder term (⁠|$\hat{R}^{\tau}$|⁠)0.00−0.00−0.03−0.04

Aggregate decomposition for three values of τ in the right tail of the price distribution (τ = 75, |$\tau=90,$|  τ = 95), as well as for the mean (µ) as a point of reference. Statistical significance levels: *p < 0.1, **p < 0.05, *** p < 0.01. Null hypotheses: θ = 0. Bootstrapped standard errors over the entire procedure (50 replications) were used to compute the p-value.

Table 2.

Aggregate decomposition based on the FFL approach

 OBRIF decompositions
Location:µQ(75)Q(90)Q(95)
Total change (⁠|$\hat{Q}_{17\_18}^{\tau}-\hat{Q}_{08\_09}^{\tau}$|⁠)0.72***0.93***1.28***1.51***
Total pricing effect (⁠|$\hat\Delta^{\tau}_{S,\text{FFL}}$|⁠)0.74***0.98***1.32***1.56***
Total composition effect (⁠|$\hat\Delta^{\tau}_{X,\text{FFL}}$|⁠)−0.02***−0.04***−0.00−0.01
Total remainder term (⁠|$\hat{R}^{\tau}$|⁠)0.00−0.00−0.03−0.04
 OBRIF decompositions
Location:µQ(75)Q(90)Q(95)
Total change (⁠|$\hat{Q}_{17\_18}^{\tau}-\hat{Q}_{08\_09}^{\tau}$|⁠)0.72***0.93***1.28***1.51***
Total pricing effect (⁠|$\hat\Delta^{\tau}_{S,\text{FFL}}$|⁠)0.74***0.98***1.32***1.56***
Total composition effect (⁠|$\hat\Delta^{\tau}_{X,\text{FFL}}$|⁠)−0.02***−0.04***−0.00−0.01
Total remainder term (⁠|$\hat{R}^{\tau}$|⁠)0.00−0.00−0.03−0.04

Aggregate decomposition for three values of τ in the right tail of the price distribution (τ = 75, |$\tau=90,$|  τ = 95), as well as for the mean (µ) as a point of reference. Statistical significance levels: *p < 0.1, **p < 0.05, *** p < 0.01. Null hypotheses: θ = 0. Bootstrapped standard errors over the entire procedure (50 replications) were used to compute the p-value.

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