3.1 Main indicator
Table
4 summarizes the average marginal effects based on the logit model using the binary indicator of occasional or regular drinking (
\(D_1\)) as the dependent variable. Column (1) shows the descriptive raw difference. Consistent with the descriptive differences in Table
2, the estimates show a positive raw gap in the probability of occasional and regular drinking between internals and externals. The more internal that an individual is, the higher the probability of reporting at least occasional drinking. We can see that this descriptive raw difference between internals and externals becomes smaller but remains significantly positive when we include additional sets of exogenous control variables in column (2). An increase in an individual’s LOC by one standard deviation increases the probability of occasional or regular drinking on average by 2.4 percentage points for men and by 3.4 percentage points for women, holding all other variables constant. This corresponds to a relative effect of 3.4% for men and 6.9% for women based on the sample means of 71% and 49%, respectively (see Table
2). In order to get a more conservative estimate of the association between LOC and alcohol consumption which considers the role of possible mediators, we include a long list of potentially endogenous control variables in columns (3)–(5). The inclusion of educational controls as well as health behavior has a particularly strong effect on the estimated relationship between LOC and drinking for women, explaining close to two-thirds of the estimated association in column (2). For men all three groups of variables (education, labor market and health) have a similarly large effect on the estimated relationship and explain roughly half of it. Column (5) contains the results for the full model, which we will use as our main specification and to which we will refer in the following.
9 An increase in an individual’s LOC by one standard deviation on average increases the probability of occasional or regular drinking by 1.1 percentage points for men and by 0.9 percentage points for women, holding all other variables constant. This corresponds to a relative effect of 1.5% for men and 1.8% for women. While we observe a substantial decrease in the estimated effect on
\(D_1\) from column (2) to column (5), it is important to note that our data contain a very rich set of control variables. The evolution of the estimated effect can be interpreted as evidence that the relationship between LOC and occasional/regular drinking is robust and likely not purely driven by observable mediators. We will further analyze the sensitivity of our results with respect to omitted variables following Oster (
2019) in Sect.
3.3.
Table 4
Main results (logit, marginal effects)—main drinking variable
Men
|
LOC Factor (cont.) | 0.036*** | 0.024*** | 0.019*** | 0.016*** | 0.011** | | | | | |
(0.004) | (0.005) | (0.005) | (0.005) | (0.005) | | | | | |
Locus of control terciles (Ref.: \([{\textit{LOC}}_{{\textit{min}}},{\textit{LOC}}_{P33}]\)) |
\(({\textit{LOC}}_{P33},{\textit{LOC}}_{P66}]\) | | | | | | 0.070*** | 0.050*** | 0.041*** | 0.036*** | 0.026** |
| | | | | (0.011) | (0.011) | (0.010) | (0.010) | (0.010) |
\(({\textit{LOC}}_{P66},{\textit{LOC}}_{{\textit{max}}}]\) | | | | | | 0.078*** | 0.051*** | 0.039*** | 0.033*** | 0.022* |
| | | | | (0.011) | (0.012) | (0.012) | (0.012) | (0.012) |
Pseudo \(R^2\) | 0.005 | 0.033 | 0.040 | 0.045 | 0.059 | 0.005 | 0.033 | 0.040 | 0.045 | 0.059 |
Observations | 16,300 | 16,300 | 16,300 | 16,300 | 16,300 | 16,300 | 16,300 | 16,300 | 16,300 | 16,300 |
Women
|
LOC Factor (cont.) | 0.051*** | 0.034*** | 0.024*** | 0.019*** | 0.009* | | | | | |
(0.005) | (0.005) | (0.005) | (0.005) | (0.005) | | | | | |
Locus of control terciles (Ref.: \([{\textit{LOC}}_{{\textit{min}}},{\textit{LOC}}_{P33}]\)) |
\(({\textit{LOC}}_{P33},{\textit{LOC}}_{P66}]\) | | | | | | 0.070*** | 0.044*** | 0.033*** | 0.026** | 0.012 |
| | | | | (0.011) | (0.011) | (0.011) | (0.011) | (0.011) |
\(({\textit{LOC}}_{P66},{\textit{LOC}}_{{\textit{max}}}]\) | | | | | | 0.121*** | 0.085*** | 0.064*** | 0.052*** | 0.032*** |
| | | | | (0.012) | (0.012) | (0.012) | (0.012) | (0.012) |
Pseudo \(R^2\) | 0.007 | 0.048 | 0.059 | 0.066 | 0.085 | 0.007 | 0.048 | 0.059 | 0.066 | 0.086 |
Observations | 17,465 | 17,465 | 17,465 | 17,465 | 17,465 | 17,465 | 17,465 | 17,465 | 17,465 | 17,465 |
Interview | | ✓ | ✓ | ✓ | ✓ | | ✓ | ✓ | ✓ | ✓ |
Demographics | | ✓ | ✓ | ✓ | ✓ | | ✓ | ✓ | ✓ | ✓ |
Personality | | ✓ | ✓ | ✓ | ✓ | | ✓ | ✓ | ✓ | ✓ |
Education | | | ✓ | ✓ | ✓ | | | ✓ | ✓ | ✓ |
Labor Market | | | | ✓ | ✓ | | | | ✓ | ✓ |
Health | | | | | ✓ | | | | | ✓ |
Although these effects appear to be rather small, concurrent with the low overall explained variability of alcohol consumption in the model (see pseudo
\(R^2\) in Table
4), they hold considerable economic relevance. The magnitude of the effect is of a similar size to the marginal effects of knowingly important preference measures such as the willingness to take risks and patience (as a proxy for time preferences), which can be found in Table S.2.
To identify potential nonlinearities, we consider indicators for being in a different tercile of the LOC distribution as explanatory variables in columns (6)–(10). The results show a similar picture to that of the continuous LOC measure. For men, having a medium LOC (\(({\textit{LOC}}_{P33},{\textit{LOC}}_{P66}]\)) on average increases the probability of occasional or regular consumption by 2.6 percentage points (3.7%) compared to having a low LOC (\([{\textit{LOC}}_{{\textit{min}}},{\textit{LOC}}_{P33}]\)). Interestingly, having a high LOC (\(({\textit{LOC}}_{P66},{\textit{LOC}}_{{\textit{max}}}]\)) increases men’s probability of occasional or regular consumption in a similar magnitude by 2.2 percentage points (3.1%). Thus, the association appears to be nonlinear for men, with the highest probability of drinking being found for men with a medium LOC. The overall picture is slightly different for women: Only having a high LOC increases a woman’s probability of occasional or regular consumption by 3.2 percentage points (6.5%), while the effect of a medium LOC is not significant when compared to having a low LOC.
3.2 Supplementary indicators: extensive and intensive margin
As the results from the Brant test already indicated, the effect of LOC is likely to differ between different intensities of alcohol consumption. To further investigate this, we devote some further attention to how the effect might differ at the extensive and intensive margin.
Table 5
Main results (logit, marginal effects)—intensive vs. extensive margin
Men |
LOC Factor (cont.) | 0.007** | | 0.006 | | \(-\)0.006 | |
(0.003) | | (0.004) | | (0.006) | |
Locus of control terciles (Ref.: \([{\textit{LOC}}_{{\textit{min}}},{\textit{LOC}}_{P33}]\)) |
\(({\textit{LOC}}_{P33},{\textit{LOC}}_{P66}]\) | | 0.017*** | | 0.021** | | 0.016 |
| (0.006) | | (0.010) | | (0.013) |
\(({\textit{LOC}}_{P66},{\textit{LOC}}_{{\textit{max}}}]\) | | 0.019*** | | 0.014 | | \(-\)0.009 |
| (0.007) | | (0.011) | | (0.014) |
Observations | 16,300 | 16,300 | 14,920 | 14,920 | 11,566 | 11,566 |
Women |
LOC Factor (cont.) | 0.008** | | 0.005 | | \(-\)0.003 | |
(0.003) | | (0.005) | | (0.005) | |
Locus of control terciles (Ref.: \([{\textit{LOC}}_{{\textit{min}}},{\textit{LOC}}_{P33}]\)) |
\(({\textit{LOC}}_{P33},{\textit{LOC}}_{P66}]\) | | 0.009 | | 0.008 | | 0.003 |
| (0.007) | | (0.011) | | (0.012) |
\(({\textit{LOC}}_{P66},{\textit{LOC}}_{{\textit{max}}}]\) | | 0.018** | | 0.026** | | \(-\)0.002 |
| (0.008) | | (0.013) | | (0.013) |
Observations | 17,465 | 17,465 | 14,905 | 14,905 | 8621 | 8621 |
Time-fixed effects | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Demographics | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Education | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Labor market | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Personality | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Health | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Table
5 summarizes the estimated average marginal effects of LOC using the three supplementary binary indicators
\(D_{j= \{2, 3, 4\}}\) as dependent variables.
10 In the first step, we re-estimate the model using an indicator for any drinking (extensive margin) in order to identify whether the estimation results for the main indicator have been driven by differences between abstainers and rare drinkers. In line with the main results, the effects in columns (1) and (2) are significantly positive, indicating a reduced probability of being an abstainer for internal men and women. The effect magnitudes are smaller than for the main outcome variable, indicating some important associations at the intensive margin, but are still of considerable magnitude.
11 In the second step, we then analyze potential associations at the intensive margin in columns (3)–(6) of Table
5. If we abstract from potential sample selection bias caused by the restriction of the sample to non-abstainers, the results reveal that for men(women) having an medium(high) LOC increases the probability of occasional and regular drinking in the sub-sample of individuals who drink at least sometimes. The patterns are comparable to the ones estimated for the main drinking indicator in Sect.
3.1, but effect magnitudes are smaller and the effects of the continuous measure lose significance. In the last step, in columns (5) and (6), we do not find a significant association between LOC and differences between regular and occasional drinking for men as well as women. Based on these findings, we can assume that much of the association between LOC and drinking is driven by differences at the extensive margin as well as in parts at the cutoff between rare drinkers and occasional drinkers.
3.3 Robustness checks
We test the robustness of our results with respect to both the definition of our main explanatory variable and our outcome variable as well as with respect to potentially omitted variables.
Explanatory variable In a first step, we check the robustness of our estimated effects with respect to the construction and imputation of the LOC measure. Thus, we construct two alternative LOC measures and re-estimate our main model for these alternative explanatory variables. The results can be found in Table
A3. First, we find that our estimated effects are relatively robust against the use of a simple average over all eight LOC items (panel A1), which assumes equal weights for each item on the latent factor. Only the coefficient of the medium LOC for men seems to be sensitive to this change in the definition of the LOC and thus might be more strongly associated with items with higher loadings (e.g., items 5 and 10). Secondly, we check whether our estimated effects are sensitive to the use of an averaged LOC imputed over all available observations, which wipes out all within-variation in LOC for those individuals whom we observe more than once. This adjustment is expected to reduce measurement inaccuracies in the situational measurement of LOC. The estimated effects presented in panel A2 are also robust and effect magnitudes are stronger than for the imputed version of LOC indicating potential attenuation bias due to noise in the measurement of LOC.
Outcome variable—objective amounts The estimated results might also be biased by the subjective nature of the alcohol consumption variable used. As our main dependent variable is based on the self-assessed amount of consumption, it not only depends on the actual consumption level but also the individual’s perception of the terms ‘regular’ and ‘occasional’. If individuals perceive amounts differently based on their LOC, this would bias our results. We can test the reliability of our measure and the sensitivity of our results with respect to the subjectivity of the reported amounts using measures of concrete frequencies and amounts available in the SOEP 2016 wave. In 2016, individuals do not self-assess their consumption but report more distinct amounts and frequencies. An overview of the descriptive statistics for these variables can be found in Table
A4.
The new dependent variables are generated based on the reported frequency of consumption and the reported consumption amount per consumption day. LOC is imputed from the 2015 wave.
12 The results of this sensitivity check are reported in panel (B) of Table
A3. First, the binary indicator for drinking is one if the individual reports drinking at two or more days per month (“moderate or high frequency”). This behavior is assumed to correspond most closely to “occasional or regular consumption” as per the baseline. The sensitivity check (panel B1) indicates that the results from the baseline are relatively robust with respect to the type of reporting. Although effects lose significance due to the extreme reduction in sample size, the effect sizes remain stable except for the effect of a high LOC for women.
13 When we look at high consumption amount—defined as three or more drinks per day—(panel B2) for women we can see that LOC has no effect on the amount of drinks consumed per episode. However, for men, a medium as well as high LOC has a significant positive effect on consumption amounts, too.
Omitted variable bias Despite our extraordinary rich set of controls—which include detailed socio-economic characteristics, health status and health behavior in other domains as well as a list of other personality traits and preference measures—we cannot rule out that omitted variables bias our results. In order to address this issue, we (i) add a number of stressful events as additional control variables and (ii) use a bounding analysis.
First, in addition to our extensive list of control variables, we conduct a robustness check in Table
A3 (panel C) in which we additionally add a list of potentially stressful events (job loss, marriage, residential moves, separation, death of a spouse and birth of a child), which might be at risk of affecting both alcohol consumption and LOC, as control variables. Reassuringly, controlling for these events does not affect the estimated effects of LOC.
Secondly, Oster (
2019) provides a method of calculating consistent estimates of bias-adjusted treatment effects given assumptions about (i) the relative degree of selection on observed and unobserved variables (
\(\delta \)), and (ii) the R-squared from a hypothetical regression of the outcome on the treatment and both observed and unobserved controls (
\(R_{{\textit{max}}}\)).
\(\delta =1\) implies that observed and unobserved factors are equally important in explaining the outcome, while
\(\delta >1\) (
\(\delta <1\)) implies a larger (smaller) impact of unobserved than observed factors. Given the assumed bounds for
\(\delta \) and
\(R_{{\textit{max}}}\), researchers can then calculate an identified set for the treatment effect of interest. If this set excludes zero, the results from the controlled regressions can be considered robust to omitted variable bias.
Consequently, we focus on our main result—the estimated effect of LOC on our main indicator
\(D_1\) (occasional/regular drinking vs none/rare)—and we re-estimate the results reported in Table
4 using OLS. Table
A5 presents the results for the LOC terciles.
14 Comparing Columns (1) and (2) in Table
A5 reveals that for men the estimated effect of a medium (high) LOC on
\(D_1\) decreases from 0.067 (0.081) in a model with only interview controls to 0.028 (0.026) in our full specification which includes all sets of control variables. For women, the estimated effect decreases from 0.067 (0.115) to 0.013 (0.030). Guided by the rule of thumb provided in Oster (
2019), the maximum
\(R^2\) is set to 1.3 times the
\(R^2\) in the fully-controlled model. Column (3) contains the identified set of coefficients at
\(\delta =1\), i.e., a situation in which there are unobserved variables that have similarly explanatory power as our large set of explanatory variables. Subsequently, the identified set is [0.014; 0.028] ([0.001; 0.026]) for men and would still be positive even if we consider the full set of control variables including the potentially endogenous mediators. In fact, the identified set of coefficients only includes zero if
\({\tilde{\delta }}\) exceeds 1.88 (1.05). The identified set for women is
\([-0.007;0.013]\) (
\([-0.007;0.030]\)) if the reduced baseline effect is compared to the controlled effects which include the potentially endogenous health-related variables and thus includes 0. In this case
\({\tilde{\delta }}\) is 0.79 (0.82). This is driven by the strong effect of the health-related control variables for women. As has already been discussed above, these sets of variables are at risk of introducing endogeneity to the model. We thus re-estimate the selection test for a case in which we exclude them from the fully controlled model. If the health controls are excluded from the fully controlled model in the second panel, the identified set is [0.013; 0.028] ([0.022; 0.051]) and would only include zero if
\({\tilde{\delta }}\) exceeds 1.81 (1.64). Overall, the robustness analysis is re-assuring and shows that the results are quite robust to potentially omitted variables.
15
Sample restriction In a set of robustness checks, we analyze the sensitivity of our estimation results with respect to the sample restriction steps as described in Sect.
2. First, in panel (D) of Table
A3, we further restrict the age-range of our sample to working-age individuals (i.e., 25–64 years) as LOC is assumed to be more stable in this age period. Estimation results are robust against this sample restriction. Secondly, the robustness checks presented in panel (E) of Table
A3 analyze the role of non-random item non-response in the very early sample restriction steps. We re-estimate the raw effect of LOC (without controls) for the unrestricted sample, which also includes individuals who drop out of our main estimation sample to missing information on any of the control variables. Estimation results are also robust with respect to this sample restriction step.
3.4 Discussion of results
The results from our empirical analysis stand in contrast to the existing findings on the effect of LOC on health-related behavior in other domains such as smoking, exercise and healthy diet in the previous literature. Health investment models such as in Grossman (
1972,
2000) might, thus, not be applicable to the relationship between LOC and alcohol consumption. This doubt is prompted by the missing subjective link between current alcohol consumption and future health consequences. Bennett et al. (
1998) state that alcohol consumption might be associated with higher levels of uncertainty about future outcomes as individuals do not see alcohol consumption in reasonable amounts as affecting their health too strongly. Although individual considerations about health investments are likely still at play, they might be on average dominated by other mechanisms in the analyzed population. Due to this uncertainty, we can assume that individual perceptions are highly important in those situations. Individuals must build their own expectations about the probabilities with which their behavior is associated with certain outcomes. In the present case, individuals estimate the likelihood with which their alcohol consumption entails negative future consequences for their health. For example, Sloan et al. (
2013) find that heavy drinkers in the USA on average tend to overestimate their ability to handle alcohol while Lundborg and Lindgren (
2002) find that young people in Sweden on average tend to overestimate the risks associated with drinking.
16 In line with the definition of LOC, it is obvious to expect that an internal LOC entails lower levels of these risk perceptions. Multiple studies have already found that LOC has an important effect on individual perceptions about personal risk, e.g., with respect to, e.g., myocardial infarction and cancer (see, e.g., Stürmer et al.
2006; Källmén
2000; Sjoberg
2000). In line with this literature, Cobb-Clark et al. (
2014) argue that an increased perception of control might be correlated with a stronger belief about the ability to cope with and prevent the consequences of drinking. An increased perception of individual control might reduce the perceived importance of risk for life’s outcomes. The future risks of alcohol consumption might be underestimated if the individual control is overestimated (Slovic
1992).
17 An increased alcohol consumption due to mis-estimated risk probabilities is a likely important explanation for the observed association above.
Potential additional explanations for an observed positive correlation between LOC and alcohol consumption include the role of being able to afford alcohol consumption, the relationship between LOC and alcohol consumption with behavior in other health domains (see e.g. Nguyen
2019), and the correlation between LOC, individual risk preferences and self-control problems as well as present-biased decision-making. However, all these possible explanations have been ruled out largely through the inclusion of earnings, household income, behavior in other health domains, willingness to take risks and patience and impulsiveness as proxies of individual time preferences in the main estimation model. Nevertheless, there is one potential factor that remains and that we will explore in the next subsection.
Based on the existing psychological literature on peer effects of alcohol consumption in adolescence (Lundborg
2006; Buonanno and Vanin
2013), a likely remaining mechanism of the association between LOC and drinking might be the link via differences in the importance of peer and networking effects. Alcohol consumption is associated with important positive effects on social networks. Drinking is common at social events and abstinence has been shown to be linked to strong negative penalties with respect to social integration (see, e.g., Leifman et al.
1995). For example, Peters and Stringham (
2006) and Ziebarth and Grabka (
2009) discuss the association between alcohol consumption and social networks as likely channels for their identified positive effect of alcohol consumption on earnings. As they notice, alcohol consumption remains a social norm in modern Western societies, which inevitably links drinking and the attendance of social events. Thus, moderate drinking produces social capital and can be labeled as a productive activity. In line with the argument about LOC and investment in future outcomes—which has been raised, for example, in Coleman and DeLeire (
2003) and Caliendo et al. (
2015)—internals are expected to invest more in social capital than externals, as they expect higher future returns from it such as a network of social support or professional contacts. This can easily be achieved by attending social gatherings and thus drinking. Hence, by default they might be more likely to drink alcohol in moderation. As opposed to excessive and uncontrolled alcohol consumption, drinking behavior that can be explained by this mechanism might be connected with less severe negative or even positive economic and medical consequences, which is why it is important to separate it from other potential explanations.
In order to check this hypothesis, we analyze whether LOC can be associated with higher levels of social activity using information on spare time activities available in the SOEP. We measure social activity with a set of ordinal variables which are based on the self-reported frequency of three social activities, namely “going out eating and drinking,” “attending social gatherings” and “visiting friends and neighbors.”
18 For the first stage analysis of the relationship between LOC and these social activities, the activities are summarized into a continuous variable, which counts the number of activities which are conducted at least once per week. Table
6 gives the estimated effects of this analysis, estimated using a linear estimation model. As expected, LOC is associated with a higher likelihood of regular participation in these social activities.
Table 6
Social activity determinants (OLS, outcome: # of activities conducted at least once a week)
LOC Factor (std.) | 0.012** | | 0.016*** | |
(0.005) | | (0.005) | |
Locus of control terciles (Ref.: \([{\textit{LOC}}_{{\textit{min}}},{\textit{LOC}}_{P33}]\)) |
\(({\textit{LOC}}_{P33},{\textit{LOC}}_{P66}]\) | | 0.013 | | 0.024** |
| (0.013) | | (0.012) |
\(({\textit{LOC}}_{P66},{\textit{LOC}}_{{\textit{max}}}]\) | | 0.028** | | 0.043*** |
| (0.013) | | (0.012) |
Observations | 15,988 | 15,988 | 17,122 | 17,122 |
All controls | ✓ | ✓ | ✓ | ✓ |
Based on this, we investigate whether internals are simply more likely to be exposed to alcohol, as they are socially more active and outgoing, by considering social activities as a mediator in our model. For this purpose, we decompose the estimated relationship between LOC and drinking into a direct and an indirect effect via the full ordinal versions of all social activities analyzed above using the method proposed in Karlson and Holm (
2011) and Breen et al. (
2013) (KHB method). The KHB method allows for the comparison of estimated coefficients between two nested nonlinear probabilities models by accounting for the fact that coefficients and error variances in these models are not separately identified and coefficients, thus, cannot be directly compared between the reduced and the full model.
19 It does so by augmenting the reduced model with the residuals from a regression of the mediator variable (i.e., social activity) on the key explanatory variable (i.e., LOC) and thus allows for a separation of the difference due to mediation and difference due to a rescaling with different error variances.
Table 7
KHB decomposition with social activities as mediators (logit, outcome: occasional or regular drinker)
LOC Factor (std.) | 0.059** | 0.040 | 0.018*** | 0.048** | 0.030 | 0.018*** |
(0.025) | (0.026) | (0.004) | (0.023) | (0.023) | (0.004) |
0.011 | 0.008 | | 0.011 | 0.007 | |
Locus of control terciles (Ref.: \([{\textit{LOC}}_{{\textit{min}}},{\textit{LOC}}_{P33}]\)) |
\(({\textit{LOC}}_{P33},{\textit{LOC}}_{P66}]\) | 0.126** | 0.096* | 0.030** | 0.050 | 0.018 | 0.033*** |
(0.054) | (0.054) | (0.011) | (0.049) | (0.049) | (0.011) |
[0.126] | [0.096] | | [0.011] | [0.004] | |
\(({\textit{LOC}}_{P66},{\textit{LOC}}_{{\textit{max}}}]\) | 0.117* | 0.081 | 0.036*** | 0.155*** | 0.119** | 0.036*** |
(0.061) | (0.061) | (0.012) | (0.055) | (0.055) | (0.011) |
[0.022] | [0.015] | | [0.034] | [0.026] | |
Observations | 15,988 | 15,988 | | 17,122 | 17,122 | |
Social Activities | ✗ | ✓ | | ✗ | ✓ | |
All Controls | ✓ | ✓ | | ✓ | ✓ | |
The results of this decomposition are reported in Table
7. The decomposition is based on the coefficients of the nonlinear estimation model and average partial effects are computed for both models and reported in square brackets. The results indicate that for both men and women, a significant share of the effect can be contributed to differences in social activities between internal and external individuals. They explain about 23.8% (30.8%) of the association between a medium (high) LOC and drinking for men and 23.2% of association between a high LOC and drinking for women. The overall effect of a high LOC drops from 2.2 (3.4) to 1.5 (2.6) percentage points for men (women). The remaining associations are only statistically significant for men with a medium LOC and women with a high LOC and we can, thus, conclude that a very large part of the estimated associations can be explained by differences in social activity and social networking between Internals and Externals.