Randomization Method
We randomize sampling and treatment using a two-stage randomization procedure by workplaces and workers. In the first stage, we split workplaces into strata based on sampling and treatment intensities. In the second stage, we sample workers and assign them treatments based on their workplace-specific sampling and treatment intensities. We use Statas random-number generator (“runiform”) with a pre-specified seed.
Sampling: We randomly allocate workplaces into three strata with sampling rates of 0%, 50%, and 100% (with an equal number of workplaces in strata 2 and 3). Workers are sampled randomly according to their workplace-specific sampling rates.
Treatment arms: We divide workplaces into four strata with the following shares of (treatment 1, treatment 2, and control) workers: (2/9, 2/9, 5/9), (2/9, 4/9, 3/9), (4/9, 2/9, 3/9), (4/9, 4/9, 1/9). Sampled workers are randomly allocated to treatment arms based on their workplace-specific treatment rates.
Prizes: Our survey includes randomized participation incentives. In particular, we use simple randomization to allocate respondents into four prize categories (1000, 2500, 5000, and 10000 DKK) with equal shares.