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The coefficients in these regressions ranged from 0.0005 to 0.0036, compared to the regression coefficient of 0.0049 in the main analysis when using the true time period of implementation (threshold 50, Table 2).
Associations of surrounding greenness with birth weight and head circumference were also comparable with estimates from the main analysis when models were limited to term births.
Intensity of pesticide exposure was associated with PD, with estimates similar to those from the main analysis, when excluding applications occurring 2, 10, or 20 years before the reference date (p-trend < 0.05; see Supplemental Material, Table S2).
For preterm birth, results were comparable to the main analysis when we excluded facilities with the large proportions of births with missing data, and when we adjusted exposure levels for women who gave birth in Brazilian clinics near São Paulo using data from ground-based monitors; there was no evidence that preterm birth was associated with PM2.5 (data not shown).
We found that annual all-cause RSV-associated deaths peaked at 3,661 among persons >45 years of age (compared with 0 in the main analysis) when the RSV and influenza seasons coincided in most years (2 months' incremental shift of the RSV season).
The prevalences of ADEs and their categories were higher compared with the main analysis when alternative denominators were used (Table 7), with 18.3% (95% CI 16.9, 19.7%) total ADE prevalence for individuals with dispensed drugs, and 24.5% (95% CI 22.8, 26.2%) for individuals with healthcare encounters.
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A subset analysis based on response criteria was conducted to explore the stability of the main analysis results when potentially questionable survey results were excluded.
To explore whether the results from the main analysis remain when taking the different lengths of time between the visits into account, the number of days and its square are added as control variables in all regressions.
We used a single diagnostic code to maximise the sensitivity in the main analysis, but when we used a more specific case definition (including only children with at least one CD code and at least one prescription for gluten-free product), the incidence patterns across age, sex, calendar year and socioeconomic status remained very similar to our main analyses.
When interactions were significant, these were further explored either using post-hoc pairwise comparisons with Bonferroni corrections in the case of interactions between different between subject factors or by using simple main effects analysis when a within subject factor was involved in the interaction.
In the additional file, we also include the results of both main and robustness analysis when standard errors are clustered at the study level16.
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