500
You want a sample of 100 students for your study. Explain how you would draw a simple random sample for this study. Explain how you would draw a stratified random sample (stratified by house). Explain how would draw a clustered sample (clustered by house)
Simple Random Sample: Put all the registrar names in a hat and draw 100 names randomly.
Stratified Random Sample (by house): Let’s say that Harvard’s campus is made up of 5 houses. Twenty percent of students live in Pineapple House, 25% in Apple House, 10% in Grape House, 10% in Banana House, 10% in Cherry House, and 25% in Orange House. So we’re going to randomly select 20 people from Pineapple House (that’s 20% of 100), 25 people from Apple House (that’s 25% of 100), 10 people from Grape House, 10 people in Banana House, 10 people in Cherry House, and 25 people from Orange House to get our total sample of 100 people.
Clustered Sample (by house): We’d randomly select, say, 2 clusters (houses). Then from those two houses only, we randomly select 50 students from each.