Randomization Method
For Rio Grande do Sul and Pará, the research team handed the shortlists to the data collection firm that was hired by MDS. The firm was supposed to interview 900 families in each state (approximately 100 families were left in a substitution list, to be used in case the firm could not interview the 900 families) between September and December of 2018. In Rio Grande do Sul, the firm successfully interviewed 870 families; in Pará, the firm successfully interviewed 866 families. These families form the sample for those two states. Once baseline data collection was finished, the Ematers agreed to a roughly 50-50 split of families within each municipality into treatment and control groups. Families in the treatment group will receive the Fomento program in 2019, and families in the control group will receive the program in 2021. These families are entered into a lottery, conducted by the research team. To conduct the lottery, the research team first stratified the sample by municipality and gender of the respondent of the baseline questionnaire. Within each stratum, families are sorted by the respondent’s age, and grouped in tuples of four; if there is more than one tuple, any malformed tuple (i.e., tuples comprising one, two, or three families) is grouped with the previous four-tuple. A simple lottery is then done within each tuple, starting with the first (youngest) tuple. This yields 444 families in the treatment group in Rio Grande do Sul, and 439 families in the treatment group in Pará.
For Minas Gerais, the lottery procedure is slightly different. To conduct the lottery, the research team first stratified the sample by municipality and gender of the household head (as per Cadastro Único). Within each stratum, families were sorted by the respondent’s age, and grouped in tuples of four; when the number of same-sex heads of households in a municipality is not a multiple of four (which can result in one tuple of fewer than four households), the remaining individuals from both sexes are regrouped together, forming new tuples ordered by age. The research team then conducted a simple lottery within the 4-tuples – with a 50-50 split of families within each tuple into treatment and control groups. This slightly different procedure means there is at most one tuple of mixed head of household genders in a municipality.
The research team handed the shortlists to the data collection firm that was hired by MDS, containing 1001 families, of which 900 families should be interviewed with priority, while 101 formed a replacement list. Baseline data collection took place between September and December of 2018.
In total, 1093 families participated in the lottery, and 418 will be in the treatment group. The research team handed 1093 families to the survey firm, with the goal of interviewing 900 families. Of these 1093 families, 841 were successfully interviewed.