The causal impact of mental health on tobacco and alcohol consumption - An instrumental variables approach

The reciprocal relationship between psychiatric and substance use disorders is well-known, yet it remains largely unknown whether mental health morbidity causally leads to addictive behaviours. This paper utilises a fixed effects instrumental variables model, which is identified by time-varying sources of plausibly exogenous variations in mental health, and a nationally representative panel dataset from Australia to present robust evidence on the causal impact of mental distress on cigarette smoking and alcohol drinking behaviours. We find that mental distress significantly increases the prevalence and intensity of either cigarette or alcohol consumption. Further analysis reveals that mental distress also substantially increases household monetary expenditures on either tobacco or alcohol. The impact is greater for lower educated individuals or children of smokers, and is slightly higher for males. Our findings highlight the importance of mental health screening and treatment programs, especially among lower educated individuals or children of smokers, to assist in the prevention of addictive activities.


Introduction
Mental health disorders and addictive behaviours1 are two public health issues that are estimated to impose significant socio-economic costs to the global economy (OECD 2014; Chisholm et al. 2016;Prochaska et al. 2017;WHO 2017).Individuals with mental health disorders disproportionally engage in more addictive behaviours such as smoking, drinking, gambling, or using illicit drugs (Lawrence et al. 2009;Moylan et al. 2012;Lalanne et al. 2016).
Addictive behaviours are difficult to manage and even more so for people with mental health problems (Nunes & Levin 2004;Kalman et al. 2005).To optimize public health interventions and medical treatments it is important to understand whether mental health disorders cause addictive behaviours.
The bi-directional relationship between mental health disorders and addictive behaviours is contended, with inconclusive evidence from different studies using data from various countries and methods (Fluharty et al. 2017).Furthermore, it remains challenging to determine the causal impact of mental health disorders on addictive behaviours due to issues of individual unobservable factors, reverse causality and measurement errors.In particular, omitted variables, such as genetic factors, may influence both mental health and addictive behaviours (Volkow & Li 2005).Reverse causality may be an issue as individuals with mental health problems are more likely to smoke or drink (Khantzian 1987) but consumption of addictive substances may worsen health, including mental health (Volkow et al. 2014).Measurement error would be another problem because researchers typically rely on information reported by respondents when using survey data, and this can be subject to participant recall bias and interpretation error in relation to collection instruments.These self-reported addictive behaviours may be influenced by participant mental health status, causing a bias in the estimate of the contribution of mental health to addictive behaviours.Studies in the current literature have not been successful in addressing all three issues at the same time (see Section 2 for a literature review), resulting in uncertainty around the interpretation of casual estimates of mental health on addictive behaviours.
In this paper, we employ a fixed effects instrumental variables (FE-IV) model, which is identified by time-varying sources of plausibly exogenous variations in mental health, to estimate the causal impact of mental health on addictive behaviours.We apply this FE-IV model to 18 waves of high-quality Australian longitudinal data to simultaneously tackle the above three research challenges.
Specifically, we employ the death of a close friend as an instrument in mental health equations.
This instrument influences many individuals in our data, varies significantly over time for the same individuals and displays a strong causal relationship with subsequent mental health.
Moreover, results from a series of robustness tests indicate that this instrument is empirically strong.This study thus improves on most previous research by employing an individual FE-IV model approach to address the endogeneity of mental health and provides more robust evidence on the causal impact of mental health on consumption of alcohol and tobacco.
Our study produces three main results.First, we show that mental distress leads to a measurable increase in the consumption of either cigarettes or alcohol.Second, in line with the mental distress-induced impact on cigarette or alcohol consumption, our results indicate that mental distress also considerably raises household monetary expenditures on tobacco and/or alcohol.
Third, the mental distress-attributable impact on smoking and drinking is greater for persons with lower levels of education or those whose parents were smokers, and somewhat higher for males.
Although panel studies can establish the reciprocal association between substance use disorders and mental health problems, their findings can be confounded by unobservable characteristics, such as genetic factors or personal traits, that are associated with both substance use and mental disorders (Wooldridge 2010).To address the issue of unobservable individual heterogeneity, some studies have employed an individual fixed effects (FE) model (Boden et al. 2010;Fergusson et al. 2011;Horwood et al. 2012).The FE results appear to confirm the bidirectional link between mental health disorders and substance use.While the individual FE model can help address the unobservable individual heterogeneity issue, it cannot deal with the reverse causality and measurement error issues, preventing these longitudinal studies from drawing a definitive conclusion about the causality of any link between substance use and depression.
To provide causal evidence on the impact of substance use, which is dominantly measured by cigarette smoking, on depression, some studies have employed an instrumental variables (IV) method.In particular, Mojtabai and Crum (2013) used state-level cigarette taxes and public perceptions toward smoking as instruments for smoking behaviours to show that smoking regularly increases the risk for developing mood and anxiety disorders.Furthermore, an increasing number of studies have employed a Mendelian randomization method, using a genotype known to affect tobacco consumption as an instrument for cigarette smoking, to examine the causal impact of smoking in anxiety and depression.Evidence from these studies commonly suggests that smoking does not lead to mental health issues (Lewis et al. 2011;Bjørngaard et al. 2013;Taylor et al. 2014a;Skov-Ettrup et al. 2016).
Overall, our review of the literature indicates that while several efforts have been made to examine a causal bi-directional link between mental health disorders and substance use, the current literature has not successfully established the causal impact of mental health on addictive behaviours given limitations of the methods used.We extend on these studies to combine both individual FE and IV methods in a unified framework to provide a more rigorous investigation into the causal effects of mental health on the consumption of alcohol and tobacco.person and by telephone, with supplemental questionnaires collected via mail.The data contain comprehensive information at the individual and household level, including information on mental health and addictive behaviours of surveyed individuals (see Appendix Table A1 for details on variable description and summary statistics).

Mental health measures
Our main measure of mental health is derived from the Mental Health Inventory (MHI-5), a subscale of the 36-Item Short Form Health Survey (SF-36) (Ware et al. 1994).This subscale is constructed from responses to five questions asking the respondents about how often during the past four weeks that they have (1) "been a nervous person", (2) "felt so down in the dumps nothing could cheer you up", (3) "felt calm and peaceful", (4) "felt down", and ( 5) "been a happy person".The respondent could select one of six responses that range from "all of the time" (1) to "none of the time" (6).We construct a mental health index by summing scored responses to these five questions, with reverse coded responses for the first four questions.We then standardize this index to have a mean of zero and a standard deviation of one.By construction, a greater value of this index indicates a higher level of psychological distress, which is associated with poorer mental health.To differentiate with the original MHI-5 index, we name our mental health indicator as "standardized reversed MHI-5" index.
This index is strongly correlated (with the magnitude of 0.81 and the correlation is statistically significant at the 1% level -see Appendix Table A2) with the commonly used Kessler Psychological Distress Scale (K10) score, which has been collected biennially since wave 7 of HILDA. 5This index is also highly associated with a clinically diagnosed depression or anxiety indicator which was collected in waves 9, 13 and 17 of HILDA: the correlation is 0.41 and statistically significant at the 1% level (see Appendix Table A2).This measure has been employed extensively in Australia (Frijters et al. 2014;Nguyen & Connelly 2018;LaMontagne et al. 2020;Yang & Zikos 2022) and internationally (Ware et al. 2000).We employ this standardized reversed MHI-5 subscale in the main analysis for two reasons: (1) it is available in all waves of HILDA, enabling us to have a sufficiently large sample to implement some subgroup analyses and (2) as demonstrated above, this subscale has been proven to be a psychometrically sound measure of mental health (Berwick et al. 1991;Ware et al. 2000).In subsection 5.3 we will test the sensitivity of the results by employing other mental health measures available in the data such as K10 and some variations of mental health measures constructed from SF-36.
5 Specifically, K10 is constructed using responses to a set of 10 questions with the preamble "The following questions are about your feelings in the past 4 weeks.In the last four weeks, about how often did you feel: (1) depressed, (2) everything was an effort, (3) so nervous that nothing could calm you down, (4) so restless that you could not sit still, (5) hopeless, (6) nervous, (7) restless or fidgety, (8) so sad that nothing could cheer you up, (9) tired out for no good reasons, and (10) worthless?".Responses to each question are recorded in a five-point scale, ranging from "all of the time" (1) to "none of the time" (5).As has been done with the MHI-5 subscale, we construct our K10 index by summing scored responses to the 10 questions and standardize it to have a zero mean and a standard deviation of one.Similar to the MHI-5 index, a higher value of our K10 index also indicates a poorer mental health status.

Addictive behaviour measures
We consider two types of addictive behaviours: tobacco smoking and consumption of alcohol.
For smoking behaviours, we use three self-reported measures.The first measure is a dummy variable called "smoker" indicating whether the individual smoked cigarettes or used any other tobacco products at the time of the survey.The second measure denoted by "daily smoker" is an indicator describing whether the individual smoked daily at the time.We further employ the "weekly number of cigarettes" the individual usually smoked each week as the third measure of smoking.
We also employ three self-reported measures to capture drinking behaviours.We first use a dummy variable (referred as "drinker" thereafter) to indicate whether the individual drank alcohol at the survey time.Moreover, we employ an indicator called "daily drinker" which describes whether an individual drank alcohol every day to capture their drinking frequency.
Given evidence on potential health benefits associated with low-moderate alcohol consumption (Mukamal et al. 2003;Knott et al. 2015), it is uncertain whether "drinker" or "daily drinker" variable captures potentially harmful drinking.To further gauge drinking intensity, we use the Australian standard gender-based benchmark for potentially harmful drinking (NHMRC 2009) to construct a variable denoted by "excessive drinker" to describe whether the individual usually drank 5 or more (for females) or 7 or more (for males) standard drinks per day. 6Thus, 6 We do not use the current NHMRC alcohol consumption benchmark which was introduced in December 2020 because this new guideline was not available to individuals surveyed during our study period (i.e., 2001 -2019).Nevertheless, using this new and more restrictive benchmark which suggests "no more than 10 standard drinks a week and no more than 4 standard drinks on any one day" for healthy men and women (NHMRC 2020) does not change our findings.We do not use the number of standard drinks per day as an outcome because responses to a question asking about this are recorded in bands (e.g., "1 to 2 standard drinks" or "3 to 4 standard drinks") and top-coded (i.e., "13 or more standard drinks").Our data also show that the six measures of addictive behaviours used in this paper are positively and highly statistically correlated (at the 1% level) with one another.Furthermore, each of these addictive measures is positively and statistically significantly (at the 1% level) associated with an indicator describing whether the individual had ever used any illicit drug (see Appendix Table A2).We do not employ illicit drug use as an additional measure for addictive behaviours because the question about drug use is only asked in wave 17 of HILDA.
by construction (NHMRC 2009), this excessive drinking variable captures high risk drinking behaviour reported by individuals in this study.

Sample
We restrict the sample to individuals who are observed on at least two occasions during the study period because we mainly use a FE model.We further exclude observations with missing information on any variable that we control for in empirical model.These restrictions result in a final sample, which varies by addictive outcomes, of about 236,500 individual-year observations from roughly 24,700 unique individuals observed over 18 years.

Descriptive analyses
Summary statistics for main outcomes and other characteristics by mental health status are presented in Table 1.Table 1 indicates that individuals with poorer mental health (i.e., individuals with standardized reversed MHI-5 > median) were appreciably different from those with better mental health.Individuals with poorer mental health were more likely to be female, younger, were less likely to be in a marital relationship, were more likely to be Aboriginal or to have come to Australia from a Non-English Speaking Background (NESB) country or were more likely to have lower education.Table 1 also reveals that individuals with poorer mental health were more likely to engage in smoking or harmful drinking, as measured by excessive drinking.By contrast, individuals with poorer mental health were less likely to engage in more moderate drinking patterns, as represented by drinking or daily drinking.However, it is important to note that these relationships between mental health and addictive behaviours could be driven by unobserved characteristics, reverse causality, and measurement errors.We will address these three issues using FE-IV regressions in the following sections.

Empirical framework
We use the following model to estimate the impact of mental health   on addictive outcome In equation ( 1),   is a vector of individual characteristics and   is an error term.,  and  are parameters to be estimated and  is our interested parameter.We include in   a parsimonious list of characteristics of the individuals or their households, including gender, age (and its square), marital status, Aboriginal status, migration status, education, and household size.We also control for temporal differences in addictive behaviours by including dummies for years and quarters of survey time in all regressions.We additionally control for differences in local socio-economic environments which may influence the individual behaviours by including a relative socio-economic disadvantage index, regional unemployment rates, a metropolitan dummy and state/territory dummies.
Equation ( 1) which controls for time-invariant individual unobservable characteristics (  ) helps address the issue of unobservable individual heterogeneity (such as genetic endowments or discount rate) which is correlated with both mental health and addictive behaviours.
However, it cannot deal with reverse causality and measurement error issues which originate from the likelihood that unobserved time-variant, individual-specific factors (  ) co-vary with both the mental health and addictive behavioural outcomes.We further tackle the possible endogeneity issue of mental health in equation ( 1) by employing an instrumental variables approach.In particular, we introduce an auxiliary equation for mental health: in which   is a 1 * D vector of instruments ( ≥ 1),   is an error term, and  and  are vectors of parameters to be estimated.Instrumental variable(s) in   must satisfy three conditions (Wooldridge 2010): (i) they must be adequately correlated with   ; (ii) they must be uncorrelated with   except through   ; and (iii) they cannot be associated with individual time-varying unobservable factors in the addictive behaviour equation.
We propose to use the death of a close friend as an instrument for the mental health variable in equation ( 2).This instrument has been successfully employed in previous studies to investigate the causal effects of mental health on labour supply (Frijters et al. 2014), educational attainment (Johnston et al. 2014), physical health (Yang & Zikos 2022) or children's developmental outcomes (Le & Nguyen 2017, 2018).We thus adopt death of a close friend as the instrument to examine the impact of mental health on addictive behaviours in this paper.
As discussed in previous studies (Frijters et al. 2014;Johnston et al. 2014), the death of a close friend is likely to satisfy the above mentioned three requirements to be a good instrument. 7 Specifically, the death of a close friend has been found to worsen mental health (Frijters et al. 2014;Johnston et al. 2014).This instrument is also theoretically sound: the plausibly exogenous 8 death of a close friend directly affects the individual's mental health, but only indirectly affects their addictive behaviours through the mental health channel.As has been done in previous studies, we will empirically test the strength of this instrument against the criterium (iii) by controlling for numerous time-variant variables, including physical health, which are likely correlated with our instrument in subsection 5.3.
We apply an IV model to panel data in an FE-IV model to control for both time-invariant and time-variant unobserved factors.To estimate Equation (1), we employ an Ordinary Least Squares (OLS) method.We model all outcomes as linear.9Furthermore, method to estimate 7 In HILDA, individuals are asked "Did any of these happen to you in the past 12 months?".We use the statement about "Death of a close friend" to construct the instrument.We purposely do not use the death of family members or close relatives as an instrument because these deaths may signal genetic risks, lead to windfall income (in form of inheritance from deceased relatives) or directly influence the addictive behaviours of other household members or relatives. 8Our empirical framework is akin to that in a recent study by Friedman (2020).In particular, Friedman (2020) finds that life stressful events such as death of a non-family member statistically significantly increases subsequent initiation and intensity of smoking among adolescents in the US.The empirical model applied by Friedman (2020) to explore the impact of these life stressful events on subsequent smoking behaviours is similar to a reduced form of our empirical model in which a similar life stressful event is employed as an instrument for mental health in the first stage regression (Angrist & Pischke 2008).
equation ( 1) and a Two-Staged Least-Squares (2SLS) method to estimate the system of equations ( 1) and ( 2).In all regressions, robust standard errors are clustered at the individual level to account for serial correlation.

Main results
Estimates of mental health as measured by standardized reversed MHI-5 on various addictive outcomes are reported in Table 2.In Table 2 we report estimates and relevant statistics from four alternative specifications: (i) "Pooled OLS" results estimated from a model similar to equation ( 1) without controlling for individual heterogeneity, (ii) "FE" results estimated from equation ( 1), (iii) "Pooled-IV" results estimated from equations ( 1) and ( 2) without controlling for individual heterogeneity, and (iv) "FE-IV" results estimated from equations ( 1) and ( 2).We report pooled results to compare with those presented in most of the prior literature which does not account for individual FEs.
Pooled OLS results (reported in columns 1, 5 and 9 of The above comparisons between pooled OLS and FE estimates suggest that failing to account for individual unobserved characteristics may result in over-reporting the positive association between mental distress and addictive behaviours.One of the unobserved characteristics would be discount rates as individuals with a higher discount rate, who value current consumption more than future consumption, typically tolerate higher risk lifestyles and invest less in their current health (Grossman 1972).Another unobserved characteristic could be some generic factors that are correlated with both mental health and addictive behaviours (Wang et al. 2012;Pasman et al. 2018;Lillard 2020).Therefore, the simple regression which does not control for such unobserved characteristics over-estimates the positive effect of mental distress on addictive behaviours.The same pattern is also observed in other studies employing an individual FE model to document the bi-directional relationship between mental health and substance use disorders (Needham 2007;Leung et al. 2012;Ranjit et al. 2019).As discussed above, while the FE estimator helps control for time-invariant individual characteristics, it cannot deal with issues associated with reverse causality and measurement errors.We next turn to results obtained from the FE-IV estimator, which simultaneously addresses all three issues.
FE-IV estimates are represented in columns 4, 8 and 12 of Table 2. 10 The lowest first-stage F statistic is 74, rejecting the null hypothesis of a weak instrument (Stock & Yogo 2005). 11Table 2 also shows that, as compared to a FE-IV model, employing a FE model alone greatly underestimates the impact of mental distress on all three smoking outcomes and the excessive drinking outcome.In particular, the estimate of mental distress is about 18 (as in the case of excessive drinking) to 28 (as in the case of smoking) times greater in the FE-IV estimator than in the FE estimator while being statistically significant at least at the 5% level in both estimators.In terms of magnitude, the FE-IV estimates indicate that a one-standard-deviation increase in mental distress increases the probability of (i) smoking by 28 percentage points (pp) (corresponding to 105% of the sample mean), (ii) smoking daily by 12 pp (75% of the sample mean), and (iii) drinking excessively by 18 pp (155% of the sample mean).Similarly, a onestandard-deviation increase in mental distress is found to raise the number of cigarettes smoked per week by 11 (equivalent to 75% of the sample mean).
Table 2 additionally represents that the FE-IV estimator turns the estimate of drinking from statistically insignificant to statistically significant (at the 1% level).The FE-IV result thus indicates that mental distress leads to drinking and the estimated impact is relatively large in magnitude: a one-standard-deviation increase in mental distress raises the drinking probability by 16 pp (or 20% of the sample mean).Table 2 also shows the considerable changes in the estimates of mental distress on the above addictive measures are in line with results from a Hausman test which suggest mental distress is endogenous when modelling these outcomes.
Therefore, the results indicate that failing to adjust for the endogeneity of mental distress would considerably under-estimate the positive impact of mental distress on these addiction measures.
The FE-IV estimate of mental distress on the daily drinking indicator is not statistically significant at any conventional level.This non-significant estimate is consistent with the result from a Hausman test which indicates that we can model the mental health and daily drinking outcome independently.Thus, the results from two Hausman-styled tests12 support the use of a FE estimator to model the impact of mental distress on the probability of drinking daily.As discussed above, the FE results show that mental distress statistically significantly (at the 1% level) increases the chance of drinking daily, albeit at a rather small magnitude: an increase of one standard deviation of mental distress raises the daily drinking probability by 0.34 pp (or 5% of the sample mean).

Discussion
In summary, we interpret these results to show that mental distress considerably increases the prevalence and intensity of either cigarette or alcohol consumption.Our finding is in line with the self-medication hypothesis, first introduced by Khantzian (1987), in which individuals engage in these addictive activities to cope with stress.In particular, agonists of nicotinic cholinergic receptors, including nicotine itself, contained in cigarettes can temporarily relieve symptoms of depression and anxiety (Kumari & Postma 2005).Much like the effect of nicotine reward pathways, alcohol consumption can help regulate mood symptoms by supporting the release of endorphins, the naturally occurring feel-good opioids which affect regions of the brain associated with reward processing (Bruijnzeel & Gold 2005).Alcohol is also a central nervous system depressant, and its long-term use can cause problems with cognition and memory in heavy users (Mukherjee 2013). 13owever, it has also been hypothesized that smoking or drinking to self-medicate depression is associated with the development of cigarette or alcohol dependence (Sloan & Wang 2008;Dome et al. 2010;Crum et al. 2013), which in turn entails substantial health and socioeconomic consequences.Thus, our finding when viewed with these hypotheses suggest that depressed individuals may rely on cigarette or alcohol consumption to provide some temporary relief of depression, despite significant costs of such addictions.To this end, our findings support existing evidence that individuals living with mental distress may make life choices that might otherwise be considered irrational and not in their best private interests (Kung et al. 2018;Bayer et al. 2019;Nguyen et al. 2021).

Robustness checks
To assess the robustness of our results, we check whether our main findings are sensitive to: (i) the choice of mental health variables and (ii) the inclusion of additional time-variant variables.The results (detailed analysis is reported in Appendix B) show that our findings are robust to these tests.

Characterizing the composition of compliers
As with other IV studies, the IV estimates in this study capture a Local Average Treatment Effect (LATE) of mental distress on additive behaviours (Imbens & Angrist 1994).
Specifically, the LATE is applicable to individuals who experienced a worsening mental health state because of the death of a close friend ("compliers").To profile the characteristics of compliers, we use an approach outlined in Angrist and Pischke (2008).Particularly, we calculate the ratio of the instrument coefficient estimated from equation (2) for sub-groups of individuals relative to the instrument coefficient estimated for the whole population.This relative likelihood provides indicative evidence suggesting which parts of the population are most likely to be affected by the instrument (i.e., the death of a close friend).To address a heretofore unsolved aggregation issue associated with a continuous treatment (Abadie 2003), we dichotomize our treatment variable by using the suggested cut-off of 68 points or lower for the original MHI-5 index to define if the individual has any depressive symptoms (Yamazaki et al. 2005).We focus on specific sub-groups, identified by gender, age, marital status, education level, previous smoking status and previous mental health state. 14  Table 3 shows the relative likelihood that an individual with a particular characteristic belongs to the compliers in our data.As compared to the overall population, the compliers are more ).The notable differences in these observable characteristics between the compliers and the comparison population suggest that our estimates may not be generalized to the general population.Nevertheless, they are particularly informative for some sub- 14 For brevity purposes, we present results estimated from the regression of "smoker" as an outcome.Results for other outcomes are broadly similar and will be available upon request.
populations, including those with previous mental distress or history of addiction, who are typically of policy interest (AIHW 2017).

Results on additional outcomes and household expenditure
We next investigate the effects of mental health on other related outcomes.In particular, to capture the potential compounding impact of mental distress on smoking and drinking We further experiment with using household annual monetary expenditures on tobacco, alcohol or both items. 15As mental distress may affect the household expenditure on items other than tobacco and alcohol, we measure expenditure on tobacco, alcohol or both items in a relative terms, as represented by the share of each of these items in the total household expenditure on 15 Information on household expenditure is available from Wave 5 onwards and reported by all surveyed members who self-identified that they had responsibility for paying household bills.In cases multiple members of the same household provided response (about a quarter of all surveyed households did so), household expenditure amount is averaged across all individuals providing response.Furthermore, because the preamble of expenditure questions asks: "In a typical week, does this household spend money on", expenditure is calculated at the household level and measured on an annual basis (by multiplying weekly expenditure by 52 (weeks)).Despite some concerns over the quality of expenditure data reported in HILDA (Wilkins & Sun 2010), including the fact that HILDA omits several important spending items, household expenditure measures have been employed in previous studies (Wilkins & Sun 2010;Nguyen et al. 2020).These data limitations, including the small sample size and potential measurement errors, should be considered when interpreting the results in this section.
all reported items.Of note, having a mental distress also impacts on other areas of household expenditure. 16Results from this experiment, reported in Columns 5 to 10 of Table 4, reveal two findings of interest.First, consistent with our earlier findings of an impact of mental distress on rising prevalence and intensity of smoking and drinking, the results in this section also indicate that mental distress statistically significantly increases shares of household expenditure on tobacco or/and alcohol.Second, the estimates are sizable, suggesting that mental distress also causes direct and substantial financial costs to the households of individuals with mental health issues.Particularly, the preferred FE-IV estimate suggests that a one-standard-deviation increase in mental distress raises the share of alcohol expenditure in total household expenditure by 1.65% (or 35% of the sample mean, Column 8).Similarly, the same increase in mental distress raises the proportion of tobacco expenditure in total household expenditure by 0.06% (or 2.1% of the sample mean, according to the preferred FE estimate which is statistically significant at the 1% level, as seen from Column 5).To our knowledge, these significant financial costs to households of addictive behaviours of those with mental distress have not previously been documented in the extant literature.17

Heterogeneity
To further our understanding of the mental health effects on addictive behaviours, we implement a heterogeneity analysis by running separate regressions on two subsamples of individuals, identified by various characteristics. 18These variables include gender (i.e., female versus male), age (young versus old, identified relative to the median age of all individuals in the whole sample), marital status (single versus married) and education level (with or without a bachelor or higher degree).For marital status and education level, sub-groups are defined using the value identified at its first appearance in the sample to address a concern that the individuals' mental health and addictive behaviours may influence the way that we assign them to each sub-group.To explore the potential role of genetic or intergenerational factors in explaining our results, we also compare the impact of mental distress by the respondents' parental smoking status during their childhood. 19For this sub-population investigation, we report results from an FE-IV model if the exogeneity of mental distress is rejected and results from a FE model otherwise.
Estimates on the impact of mental distress by sub-populations for various addictive measures are concisely reported in Figure 1. Figure 1 suggests that mental distress appears to have some differential effects, depending on sub-group characteristics and outcomes being considered.
For example, the effect of mental distress on tobacco and alcohol consumption appears to be greater for males because the estimates are always higher (i.e., more positive) or typically more statistically significant for them.By the same reasoning, sub-group results by age groups indicate that the effects of mental distress on all smoking outcomes and being a current alcohol drinker are much more apparent for older individuals.By contrast, the impact of mental distress for younger individuals is more pronounced in regard to the excessive drinking outcome since the estimate is greater (about twice as much) and more statistically significant for them.
Moreover, Figure 1 suggests that mental distress appears to have a greater impact on smoking or daily smoking outcomes of married individuals.Conversely, the impact of mental distress tends to be more visible on drinking outcomes for single persons.
19 Retrospective information on parental smoking behaviour during childhood is constructed from responses to a question asking: "Were any of your parents or guardians smokers at any stage of your childhood?".This question was asked for the first time in wave 9 of HILDA for all respondents and in waves 13 and 17 for new respondents.
Consistent with a large literature documenting the intergenerational correlation in risky behaviours, this study also finds that, as compared to children of non-smokers, those of smokers are more likely to engage in smoking and drinking activities (see sub-population mean figures reported below the bars in Figure 1).Unfortunately, there is no retrospective information on parental drinking behaviour in HILDA for us to implement a similar sub-group analysis.
Sub-group results by education level reported in Figure 1 also indicate the effects of mental distress on all addictive outcomes are much more apparent for individuals with lower qualifications because their estimates are greater or more statistically significant.The finding that mental distress has a more pronounced impact for individuals with lower education is consistent with an oft observed pattern, which is also confirmed in our data (see sample mean figures reported below the bars in Figure 1), that lower educated individuals dispportionaly engage in smoking and risky drinking activities (AIHW 2017).Turning to the sub-group analysis by parental smoking status, we continue to observe that, with an exception of being a current alcohol drinker, where the estimate is about 42% smaller for children of smokers, the effects of mental distress on all other addictive outcomes are much more pronouned for children of smokers.
Figure 1 indicates that the impact of mental distress is not statistically significantly different by all characteristics considered above. 20However, there are three important exceptions.First, the estimates of mental distress on the number of cigarettes smoked are statistically different (at the 5% level) for males and females, indicating that males statistically significantly smoke more when experiencing negative psychological states.Second, the estimates on daily smoking, drinking and excessive drinking outcomes by education are also statistically different at the 5% level, suggesting that individuals with lower education statistically significantly engage more in these additive activities when facing mental health shocks.Third, the estimates on the probability of daily smoking and the number of cigarettes smoked are statistically different for children of smokers compared with those of non-smokers.To the best of our knowledge, the finding of a much greater impact of mental distress for children of smokers has not been documented the literature.This finding when observed with the observation that children of smokers consume substentially more cigarettes than children of non-smokers (see 20 Full estimation results are represented in Appendix Table A7. mean statistics reported below the bars in Figure 1) shows that parental addictive behaviours may not only be transmitted to their children (Mitrou et al. 2010) but also influence the way their children respond to mental health shocks.

Conclusion
Drawing on a high-quality nationally representative panel dataset we have presented the causal effects of mental health on cigarette smoking and alcohol consumption behaviours of Australians.We find robust evidence that mental distress substantially increases the prevalence and intensity of either cigarette or alcohol consumption.Consistent with this finding, additional analysis reveals substantial monetary costs associated with cigarette and alcohol consumption caused by mental distress.Moreover, the impact is greater for lower educated individuals and children of smokers, and is slightly higher for males.
Our findings on the impact of mental distress on addictive behaviours highlight the importance of controlling for potential endogeneity of mental health when modelling its causal effects on addictive behaviours.Failing to simultaneously address these issues could result in underestimates of the effect of poor mental health on the increasing prevalence and intensity of either cigarette or alcohol consumption.Our finding of a strong association between life stress events and depression provides an argument for public initiatives that support vulnerable groups to cope with negative psychological events.Such policies may not only reduce the overall prevalence and impact of mental distress but also discourage mental distress-attributable addictive behaviours and hence alleviate their associated socio-economic costs, following our finding of a measurable impact of mental distress on increasing addictive behaviours.Overall, our findings, together with others, highlight the role of mental health screening and treatment programs, especially among lower educated individuals or children of smokers, to assist in the prevention of addictive activities which are costly to both the individual, and to broader society.Notes: Statistics are calculated using an estimated sample from the regression of "smoker" as an outcome."Young" sub-group includes individuals aged equal or below the median of the whole sample while "Old" sub-group consists of remaining individuals."Previous" smoking (mental illness) status is identified using one-year lag of smoking (mental illness) status."Mental illness" is identified using the suggested MHI-5 cut-off of 68.A7.Notes: Statistics are calculated using an estimated sample from the regression of "smoker" as an outcome.
likely to be female, younger, single, or to have lower qualifications.Moreover, consistent with prior evidence of cigarette dependence(Sloan & Wang 2008;Dome et al. 2010;Crum et al. 2013), we find that individuals with a previous smoking history over-represent among the compliers.Similarly, and in line with prior findings(Zubrick et al. 2012;Friedman 2020), individuals with previous mental distress are more responsive to the treatment.The overrepresentation of individuals with a previous smoking history or previous mental distress among the compliers when viewed with an oft observed pattern of a higher prevalence and intensity of cigarette consumption among these individuals explains some relatively high estimates of mental distress obtained from the IV approach.To this end, our IV estimates may provide an upper bound of the Average Treatment Effect for the overall population(Angrist &   Pischke 2008

Figure
Figure 1: Heterogeneity (Summerfield et al. 2019)aves 2 to 19 (year 2002 to 2019) of the Household Income and Labour Dynamics in Australia (HILDA) survey.4HILDA is a nationally representative annual panel survey from Australia(Summerfield et al. 2019).It began in 2001 with a sample of 7,682 households and 13,969 individuals.In each wave, interviews are conducted with all household members who are 15 years of age or older at the survey time.Interviews are administered in-

Table 2
FE estimates (reported in columns 2, 6 and 10 in Table2) show that controlling for the individual FE changes the results considerably.For instance, accounting for individual heterogeneity reduces the magnitude of the mental distress estimates for all three smoking outcomes and the excessive drinking indicator, with the reduction ranging from 28% (as in the estimate on excessive drinking) to 86% (daily smoking).Controlling for the individual confounders also turns the estimate of mental distress on drinking from negative and highly statistically significant to positive and statistically insignificant.
) show strong associatMoylan et al. 2012)mates are all statistically significant at least at the 5% level) between mental distress and all six addictive outcomes considered.Furthermore, while mental distress is negatively associated with the probability of drinking, it is positively associated with other five addictive behavioural outcomes.These results suggest that individuals with poorer mental health are less likely to drink.By contrast though, they are more likely to smoke, smoke more frequently (as measured by smoking daily or smoking more cigarettes per week) or engage in potentially dangerous drinking (as represented by drinking daily or drinking excessively).Our pooled OLS results are thus in line with those reported in the previous cross-sectional studies which consistently show that individuals experiencing mental distress disproportionally engage in smoking or harmful drinking(Lawrence et al. 2009;Moylan et al. 2012).
behaviours(Tauchmann etRen et al. 2020) al. 2020), we construct a binary variable describing whether the individual either smoked cigarettes or drank alcohol at the survey time and use it as an additional outcome variable.We also construct a dummy variable which indicates if the individual either smoked daily or drank daily and use it as another dependent variable in the FE-IV model.Results from these experiments, reported in Columns 1 to 4 of Table4, suggest that mental distress statistically significantly increases the prevalence and intensity of cigarette or alcohol consumption.Specifically, an increase of one standard deviation in mental distress raises the probability of either smoking or drinking by 13 pp (Column 2).The impact of mental distress on the intensity of addictive behaviours is slightly less pronounced since the same increase in mental distress is found to raise the probability of either smoking daily or drinking daily by 11 pp (Column 4).

Table 1 :
Sample means of outcomes and key covariates by mental health condition Pooled OLS" results are from the regression (1) without controlling for individual FEs while FE results are from the regression (1).Pooled-IV results are from models (1) and (2) without controlling for individual FEs while FE-IV results from models (1) and (2)."F-statistic of IV" denotes the F statistic for the strength of the excluded instrument in the first stage regression."Hausman test (p value)" denotes p value from a Hausman test for endogeneity of the mental health variable in equation (1).Other explanatory variables include gender, age (and its square), migration status, Aboriginal status, marital status, education, household size, local socio-economic background variables, state/territory dummies, year dummies, and survey quarter dummies.Robust standard errors clustered at the individual level in parentheses.For all binary outcome variables, results (coefficient estimates, standard errors and sample means) are multiplied by 100 for aesthetic purposes.The symbol *denotes significance at the 10% level, **at the 5% level, and ***at the 1% level.

Table 3 :
Characterizing the composition of compliers

Table 4 :
Impact of mental health on additional outcomes and household expenditure Notes: FE results are from the regression (1) while FE-IV results from regressions (1) and (2)."F-statistic of IV" denotes the F statistic for the strength of the excluded instrument in the first stage regression."Hausman test (p value)" denotes p value from a Hausman test for endogeneity of the mental health variable in equation (1).Other explanatory variables include age (and its square), marital status, education, household size, local socio-economic background variables, state/territory dummies, year dummies, and survey quarter dummies.Robust standard errors clustered at the individual level in parentheses.For all binary outcome variables, results (coefficient estimates, standard errors and sample means) are multiplied by 100 for aesthetic purposes.The symbol *denotes significance at the 10% level, **at the 5% level, and ***at the 1% level.
Mental Health Inventory (MHI-5) index, calculated from 5 items of the 36-Item Short Form Health Survey, standardized: a higher value indicates poorer mental health.See text for details.Mental Health index, calculated from 9 items of the 36-Item Short Form Health Survey, standardized: a higher value indicates poorer mental health.See text for details.Yes" to the question "Do you smoke cigarettes or any other tobacco products?"and 0 if responded "No, I have never smoked" or "No, I no longer smoke".Yes" to the question "Do you drink alcohol?" and 0 if responded "I have never drunk alcohol" or "I no longer drink".if responses as 5 or more (for females) or 7 or more (for males) to the question "On a day that you have an alcoholic drink, how many standard drinks do you usually have?" and 0 otherwise.Yes" to the event "Death of a close friend" in the question "Did any of these happen to you in the past 12 months?"and 0 otherwise.