# Association tests

## Endpoint

We included 2,755 endpoints in the analysis, which consisted of 2,499 binary endpoints and 3 quantitative endpoints (HEIGHT\_IRN, WEIGHT\_IRN, BMI\_IRN). Endpoints with less than 50 cases among the 500,348 samples were excluded, as well as endpoints labeled with an OMIT tag in the endpoint definition file.

The quantitative endpoints HEIGHT and WEIGHT were acquired from minimum phenotype data. After that, phenotype BMI was formed from them, and all of them were inverse normal transformed.

## Null models

For regenie step 1 LOCO prediction computation for each endpoint, we used age, sex, 10 PCs, Finngen 1 or 2 chip or legacy genotyping batch as covariates. For sex-specific phenotypes, sample sex was left out from the covariates. We excluded covariates that had less than 10 cases.

For calculating genetic relatedness in regenie step 1, we included variants 1) imputed with an INFO score > 0.95 in all batches and 2) > 97 % non-missing genotypes and 3) MAF > 1 %. The remaining variants were LD pruned with a 1.5Mb window and r2 threshold of 0.2. This resulted in a set of 188,153 well-imputed not rare variants for relatedness calculation.

We used a genotype block size of 1,000 in regenie step 1.

## Association tests

We ran association tests with regenie for each of the 2,755 endpoints for each variant with a minimum allele count of 5 among each phenotype’s cases and controls. We used the approximate Firth test for variants with an initial p-value of less than 0.01 and computed the standard error based on effect size and likelihood ratio test p-value (regenie options --firth --approx --pThresh 0.01 --firth-se).


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