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Global Health Economics and
            Sustainability
                                                                                      Affect heuristics in substance use



            Table 2. Description of selected variables: NSHS, Brazil 2019
                                                                  Pr ( y = 1, y = 1, y =  ) 1
                                                                                 3 i
                                                                      1 i
                                                                            2 i
            Variable                   Description                 Pr ò  ≤  β =  ' x  ,ò  ≤  β  ' x  ,ò  ≤  β  ' x  )
            Alcohol          Have you ever consumed any alcoholic    ( i 1  1 i 1  2 i  2 i 2  3 i  3 i 3
                                                                                            '
                                                                           '
                                                                                            x
                                                                            x
                                                                                    '
                                                                                    x ò
                             beverages?                            Pr ò 3  ≤  β =  3 i 3 |ò 2 i  <  β  2 i 2, 1 i  <  β  1 i 1 )
                                                                     ( i
            Drugs            Have you ever consumed any illicit drugs?  Pr ò  ≤  β ×  ' x  |ò  <  β  ' x  ) Pr×  ò  <  β  ' x  )
            Cigarette        Have you ever smoked a cigarette?       ( i 2  3 i 2  1 i  1 i 1  ( i 1  1 i 1  (8)
            Friend_alcohol   Do any of your friends drink alcohol?  The probability expressed in (8) involves conditioning
            Friend_drugs     Do any of your friends use illegal drugs?  on unobserved variables that are correlated with each
            Friend_smoke     Do any of your friends smoke cigarettes?  other. The GHK simulator performs an approximation
                                                               of these conditional distributions (Cappellari &
            Parent_alcohol   Does either of your parents or any guardian   Jenkins, 2003).
                             drink alcohol?
            Parent_smoke     Does either of your parents or any guardian   Börsch-Supan & Hajivassiliou (1993) stated that the
                             smoke cigarettes?                 desirable  properties  for  simulated  maximum  likelihood
            SLI              Standard of Living Index (values closer to 1   methods  are  generating  unbiased  simulated  choice
                             indicate a worse standard of living)  probabilities that are bounded within the range of 0 and 1
            RBI              Risk Behavior Index (values closer to 1   and that represent continuous and differentiable functions
                             denote risker behavior)           of the model parameters. According to Cappellari &
            Work             After high school, you intend only to work   Jenkins (2003), the simulation bias is reduced to tiny levels
                             (base variable: no plans)         in the GHK simulator as the number of random drawings
            Study            After high school, you intend only to study   increases with the sample size. They recommended that the
                             (base variable: no plans)         number of random drawings in sufficiently large samples
            Study_work       After high school, you intend to study and   should approximate the closest integer to the square root
                             work (base variable: no plans)    of the number of respondents in the sample. In the present
            Another_plan     After high school, you have another plan   study, the analyzed sample comprised 55,883 respondents.
                             (base variable: no plans)         Therefore, the number of 243 random draws was defined
            Male             Male sex                          for the model estimation.
            Age              Age                               3. Results and discussion
            School_mom       Mother’s education level
            n_people         Number of people living in the household  First,  a  descriptive analysis  was  conducted on  the  data
            White            White ethnicity                   on  substance  use  among high school  students  in Brazil.
                                                               Figure  1 presents the relative frequency of use for each
            Priv             Attending private school          substance (alcohol, illicit drugs, and cigarettes).
            Urb              Households located in an urban area
            Source: Author’s elaboration based on NSHS 2019 data.  It was observed that alcoholic beverages were the most
                                                               commonly used substance among adolescents, probably
              Where K = 2y −1, for each i, m = 1,2,3, The matrix Ω   because of their greater social acceptance and easier access
                     im
                          im
            has the following elements:                        notwithstanding the prohibition of alcohol sales to minors
                                                               in Brazil. A significant proportion of adolescents also used
              Ωmm = 1,m = 1,2,3                         (7)    cigarettes and illicit drugs even though this percentage was
              Ω = Ω = K  K  ρ 21                               much  lower  than  the proportion  of  alcohol  users,  which
                         i1
                    12
                           i2
                21
              Ω = Ω = K  K  ρ                                  probably reflected greater difficulty of access and lower social
                31   13   i3  i1  31                           acceptance, particularly in the case of illicit drugs. Figure 2
              Ω = Ω = K  K  ρ 32                               illustrates the relative frequency of substance use by sex.
                    23
                32
                         i3
                           i3
              According to  Cappellari  & Jenkins  (2003),  the   Notably, the examination of the relative frequency of
            GHK simulator takes advantage of the fact that the   substance use by gender revealed that alcohol consumption
            multivariate normal distribution can be defined as the   was higher among female adolescents, while the use of
            product of sequentially conditioned univariate normal   cigarettes and illicit drugs was more prevalent among male
            distributions. Eight joint probabilities corresponding   adolescents.  Figure  3 displays the relative frequency of
            to eight combinations of  y =  1 e  y =  0 exist for a   substance use by age.
                                   im
                                            im
            trivariate case. Given the probability of all outcomes   The evaluation of substance use trends by age disclosed
            being y = 1,                                       that the youngest high school students (11 and 12 years
                  im
            Volume 3 Issue 1 (2025)                        152                       https://doi.org/10.36922/ghes.3829
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