Worksheet 02: Stratified Random Sampling

Worksheet
Published

March 13, 2025

The ACLS intends to use a stratified random sample to study publications and library use among members. They divide their data into discipline, making 7 stratas. Summary values for the size of the membership, number of returned surveys, and the proportion of surveys returned by female members are packed into a data frame for you below.

1. Using equations 3.7 and 3.8, estimate the proportion (and SE) of the major societies in those seven disciplines that are female.

acls <- data.frame(
  discipline = c("Lit", "Classics", "Phil", "Hist", "Ling", "Pols", "Soci"),
  membership = c(9100,1950,5500,10850,2100,5500,9000), 
  valid.return = c(636,451,481,611,493,575,588), 
  prop.female = c(.38,.27,.18,.19,.36,.13,.26))

2. Using the equations above Table 3.5 in the text applied to your answers to part 1, estimate total (and SE) number of female members in the society.