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Long-Term Effects of Tobacco Prices Faced by Adolescents

  • M. Christopher Auld EMAIL logo und Mahmood Zarrabi
Veröffentlicht/Copyright: 4. November 2014

Abstract

Tobacco taxes in Canada varied markedly across time and across regions in the early 1990s. We exploit this variation to estimate the long reach of prices faced in adolescence on smoking behavior roughly a decade later in early to mid-adulthood. Results from a variety of econometric approaches suggest that there is a small but detectable long-run effect of price faced during adolescence. A 10% increase in prices faced during adolescence, holding contemporaneous prices constant, leads to roughly a 1% reduction in adult smoking propensity and intensity. The results are somewhat sensitive to specification and to how price during adolescence is measured.

JEL Classification: I12; I18; C2

Corresponding author: M. Christopher Auld, Department of Economics, University of Victoria, PO Box 1700 STN CSC, Victoria, BC V8W 2Y2, Canada, e-mail:

Acknowledgments

Auld thanks the Center for Addictions Research of British Columbia (CARBC) for financial support. An anonymous referee and seminar participants at the University of Calgary and the University of Victoria provided many helpful comments. We thank Statistics Canada for providing access to confidential data.

Appendix

As discussed in Section (2.3), we do not observe province of residence during youth and must assume that the respondent has not moved across provinces when assigning past prices. Here, we report on a small Monte Carlo experiment constructed to investigate the magnitude of the resulting attenuation bias in a sampling environment similar to our data.

To mimic the broad features of the data, we set the number of observations per replication to n=90,000. In each of 30 province-cycle (10 provinces and three cycles) cells we assigned a price pij which ranges from –0.25 to 0.072 in steps of 0.024. These numbers were chosen to yield a mean price of 0.6 and an unconditional price standard deviation of 0.2, matching the moments of the data (Table 1). The data generating process was,

(6)yij=0.1pij+uij, (6)

where i indexes simulated observations, pij is the price assigned in province-cycle j, and uijN(0, 1). To simulate unobserved moves across provinces, we construct observed price, pijerror, which equals pij with probability 0.9 and with probability 0.1 is set to the price from a randomly drawn province-cycle. We simulated R=10,000 replications from this process.

In Table A1 we report selected statistics from the simulations. Estimates using mismeasured prices, β^error, are attenuated by about 10% relative to (unbiased and consistent) estimates using actual prices (β^true). Standard errors are not biased by measurement error. t-Ratios against the false null that the true coefficient is zero, denoted t^true and t^error are, therefore, centered on lower values when we use data subject to measurement error, and tests of the null that the coefficient is equal to zero have diminished power.

Table A1

Monte Carlo Results.

MeanS.D.S.E.
Coefficient estimates (true: β=–0.100):
β^true–0.0990.0160.016
β^error–0.0900.0160.016
β^error/β^true0.9000.073
t-ratios against false null β=0:
t^true–6.2221.000
t^error–5.5981.000

Notes: 90,000 observations in each of 10,000 replications. Estimates from model with true prices are denoted with a subscript “true” and models with simulated measurement error arising from cross-province moves are denoted with a subscript “error.” S.D., denotes observed standard deviation and S.E., estimated standard errors.

We conclude from this exercise that, in our case, measurement error resulting from not observing province of residence during adolescence is not trivial but neither is it serious. Our point estimates are attenuated by about 10%, with a resulting small loss in power.

Table A2

Effect of Tobacco Prices on Adult Smoking Patterns Controlling for Price at Age 25.

Smoking probabilityNumber of cigarettes
MaleFemaleMaleFemale
Contemporaneous price0.162*–0.031–0.282***–0.235**
(1.72)(0.138)(2.98)(1.99)
Price at age 140.017–0.051–0.0034–0.002
(0.348)(1.19)(0.188)(0.141)
Observations37,72743,09810,1379879
Contemporaneous price0.139–0.002–0.277***–0.223*
(1.52)(0.007)(2.88)(1.91)
Average price ages 14–16–0.031–0.142***–0.003–0.005
(0.526)(3.04)(0.126)(0.25)
Observations37,05342,89910,0979864
Contemporaneous price0.249*–0.177–0.279***–0.206
(1.87)(0.785)(2.89)(1.61)
Average price ages 12–18–0.151*–0.190***–0.0320.028
(1.73)(2.94)(0.788)(0.615)
Observations31,07336,50784518400

Notes: Model as in Table 3 except also includes price respondent faced at age 25 as an additional covariate. Sample is respondents aged 26 through 40. Each cell denotes a separate regression. Parameter estimates are expressed as elasticities. Smoking probability is estimated using linear probability and OLS is used to estimate number of cigarettes. Asymptotic z-ratios in parentheses are based on robust and clustered at the province-cycle level standard errors. All models also control for immigration status, marital status, country of birth, household size, education, age, family income, province of residence, depression, pregnancy, and cycle of the CCHS. ***, **, *denote significance at the 1%, 5% and 10% levels.

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Published Online: 2014-11-4
Published in Print: 2015-1-1

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