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Goldin & Homonoff - DataSpace at Princeton University

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So far, we have divided the analysis into low-income consumers on the one hand (those below the 25th<br />

percentile in income) and medium- to high-income consumers on the other. Although th<strong>at</strong> aggreg<strong>at</strong>ion is<br />

convenient for exposition, it may mask differences in <strong>at</strong>tentiveness between medium- and high-income<br />

consumers. The regressions in Table VI introduce additional flexibility into the model by allowing con-<br />

sumers in each income quartile to respond to the taxes in different ways. The resulting specific<strong>at</strong>ion is<br />

given by<br />

yismt = α + β1τ e smt + β2τ s smt + ∑<br />

j∈{II,III,IV }<br />

<br />

η j Q j j<br />

ismt + ρ1τe smtQ j j<br />

ismt + ρ2τs smtQ j<br />

<br />

ismt +<br />

γxsmt + δzismt + µs + λt + πm + εismt<br />

where Q j<br />

ismt indic<strong>at</strong>es whether consumer i falls into income quartile j.<br />

As before, we find th<strong>at</strong> income differences in how consumers respond to the excise tax tend to be<br />

small and st<strong>at</strong>istically insignificant. In contrast, responsiveness to the sales tax declines monotonically<br />

with income. F-tests for the equality of the <strong>at</strong>tention gap between consumers in different income quartiles<br />

are reported in Table VI as well. The results suggest th<strong>at</strong> <strong>at</strong>tentiveness to cigarette register taxes declines<br />

monotonically by income. 25<br />

than the implied effect of the excise tax for low-income consumers, although the difference is only significant on the extensive<br />

margin. This result could stem from differences in the goods included in the excise and sales tax bases, a possibility explored<br />

in Section II.D. Of course, it is also possible th<strong>at</strong> the estim<strong>at</strong>ed sales tax coefficient is biased downward due to some omitted<br />

variable. However, unless th<strong>at</strong> omitted variable was differentialy correl<strong>at</strong>ed with smoking demand by high- and low-income<br />

consumers, it would not drive the differences in sales tax responsiveness th<strong>at</strong> we observe. The fact th<strong>at</strong> the income differences<br />

in sales tax responsiveness do not appear in st<strong>at</strong>es th<strong>at</strong> exempt cigarettes from the sales tax lends confidence th<strong>at</strong> omitted<br />

variables are not driving our main result (see Table VII).<br />

25 An implicit assumption in our analysis (and throughout the smoking liter<strong>at</strong>ure) is th<strong>at</strong> changes in cigarette taxes are<br />

uncorrel<strong>at</strong>ed with unobserved shocks to individuals’ cigarette consumption. However, cigarette taxes are not set randomly; a<br />

positive shock to cigarette demand might prompt st<strong>at</strong>e legisl<strong>at</strong>ors to raise excise taxes to capture additional revenue. Although<br />

such correl<strong>at</strong>ions could provide an altern<strong>at</strong>ive explan<strong>at</strong>ion for the discrepancy between the excise and sales tax coefficients<br />

in Section II.B, it is more difficult to imagine them driving the heterogeneous <strong>at</strong>tentiveness results in Section II.C. Th<strong>at</strong> is,<br />

although there are many possible reasons for cigarette taxes to be correl<strong>at</strong>ed with unobserved shocks to smoking demand,<br />

there are fewer plausible reasons why adoption of such laws would be differently correl<strong>at</strong>ed with shocks to cigarette demand<br />

for high and low-income consumers. Moreover, to the extent th<strong>at</strong> policymakers do consider cigarette demand by high- and<br />

low-income consumers differently when setting tax r<strong>at</strong>es, it would be surprising if they took such behavior into account when<br />

setting the sales tax (for which cigarette sales constitute only a small fraction of total revenue). So although it appears unlikely<br />

th<strong>at</strong> the endogenous adoption of tax laws is driving our main results, we cannot rule th<strong>at</strong> possibility out definitively.<br />

20<br />

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