Source cohort
In Denmark, all residents are assigned a unique personal identifier used in national demographic and health registries. The study cohort was based on the personal data from the Central Person Register.12 We included all boys and girls aged 10-17 years in 2017-22, with registered residency in Denmark at least three years before the start of the study. Participants were followed from the study start date (1 October 2017), or their 10th birthday (whichever came latest), until the end of the study (31 December 2022), or until death, emigration, or disappearance from the national register, whichever event occurred first. All individuals with a registered record of the selected adverse events of interest during follow-up were identified and analysed by self-controlled case series analyses.
Study outcomes
Study outcomes were defined as primary or secondary diagnoses of inpatient or outpatient hospital contact, obtained from the Danish National Patient Register.14 In total, 56 unique study outcomes were assessed. Online supplemental table 1 lists all of the study outcomes with their ICD-10 (international classification of diseases, 10th revision) codes. The 56 outcomes were selected based on previous hypothesised links with vaccination,3 7 well defined outcomes in the context of ICD-10 coding, and a broad representation of immune mediated neurological and cardiovascular outcomes in the 10-17 year age group.
Each outcome was studied independently, and only the first occurrence of each outcome was considered. If an individual had multiple different study outcomes, these were studied in separate analyses. When studying combined outcome groups (eg, immune mediated or venous thromboembolism), only the first instance of any of the contributing outcomes was considered for individuals with several of the contributing outcomes.
Statistical analysis
With self-controlled case series analyses, we estimated the rate ratio (with 95% confidence interval, CI) of each study outcome, comparing risk versus reference periods in cases only. Cases referred to individuals who had a study outcome during follow-up. The main analysis included risk periods of 180 days after vaccination for most outcomes, whereas a short risk period of 28 days was considered for haematological outcomes, myocarditis, and pericarditis. A pre-risk period of 14 days before vaccination was applied, and all remaining time was considered reference time (figure 1). The long risk period of 180 days was chosen to account for the subtle onset of many of the immune mediated diseases, and the time required for diagnosis. The short risk period of 28 days reflected the likely acute onset and diagnosis of myocarditis, pericarditis, and haematological disorders. The analysis was adjusted for the covariates calendar time (October to December 2017, 2018, 2019, 2020, 2021, and 2022), season (winter, spring, summer, and autumn), and age (10-11, 12-13, 14-15, and 16-17 years).
Schematic illustrations of follow-up periods in the self-controlled case series analysis: risk period of 180 days and 28 days, and three dose schedule. Top panel=example of an individual who was vaccinated with a first dose of nonavalent human papillomavirus (HPV9) vaccine after a 14 day pre-risk period, followed up for 179 days from the first dose, vaccinated with the second dose after a 14 day pre-risk period, and followed up for 179 days after a second dose. Middle panel=example of an individual who was vaccinated with a first dose of HPV9 vaccine after a 14 day pre-risk period, followed up for 27 days from the first dose, vaccinated with the second dose after a 14 day pre-risk period, and followed up for 27 days after a second dose. Bottom panel=example of an individual who was vaccinated with a three dose schedule, with a 28 day risk period
In the self-controlled case series analysis, only exposed cases directly contributed to estimating the exposure effect. A look back period of either three years before the study or an indefinite look back period was applied to the outcomes, depending on the chronic or acute onset of the outcomes (online supplemental table 1). Only individuals with no previous outcome recorded in the look back period were included.
All data management and analyses were carried out in R, version 4.1.1. Follow-up time was time split with the formatdata function from the self-controlled case series package, version 1.6. Rate ratios were calculated with conditional logistic regression implemented in the clogit function from the stats package, version 4.1.1.
We used the Benjamini-Hochberg method15 because of the large number of outcomes assessed. The Benjamini-Hochberg method is a sequential procedure for determining significance while controlling for the expected proportion of false discoveries.16 This method is in contrast with the overly conservative approach of controlling the family-wise error rate, as in the Bonferroni correction. Each association was evaluated in the context of predefined criteria: clinical relevance: at least three outcomes were seen in the risk period after vaccination; significance: lower bound of 95% CI >1.0; and multiple testing: false discovery rate adjusted P value <0.05.
We also conducted sensitivity analyses which accounted for event dependent exposures, to explore whether the study outcome altered exposure to the vaccine because of, for example, its contraindications to treatment or cancellation of appointments as a direct consequence of illness, reducing the possibility of exposure after the event.17 Moreover, we conducted analyses specific to the dose of the HPV vaccine, investigated differences in dose specific rate ratios, and assessed alternative risk periods (28 days instead of 180 days and 180 days instead of 28 days, where appropriate). We applied the Benjamini-Hochberg method to the P values of the 56 outcomes for each analysis.