ap stats sampling methods

simple random sample

Every member and set of members has an equal chance of being included in the sample. Technology, random number generators, or some other sort of chance process is needed to get a simple random sample. Example—A teachers puts students' names in a hat and chooses without looking to get a sample of students.

systematic random sample

Members of the population are put in some order. A starting point is selected at random, and every (x) member is selected to be in the sample. A principal takes an alphabetized list of student names and picks a random starting point. Every 20th student is selected to take a survey.

cluster random sample

The population is first split into groups. The overall sample consists of every member from some of the groups. The groups are selected at random. Example—An airline company wants to survey its customers one day, so they randomly select 55 flights that day and survey every passenger on those flights.

stratified random sample

The population is first split into groups. The overall sample consists of some members from every group. The members from each group are chosen randomly. example- a student council surveys 100 students by getting random samples of 25 freshmen, 25 sophomores, 25 juniors, and 25 seniors

convenience sample

The researcher chooses a sample that is readily available in some non-random way. Example—A researcher polls people as they walk by on the street. Why it's probably biased: The location and time of day and other factors may produce a biased sample of people.

voluntary response sample

The researcher puts out a request for members of a population to join the sample, and people decide whether or not to be in the sample. Example—A TV show host asks his viewers to visit his website and respond to an online poll. Why it's probably biased: People who take the time to respond tend to have similarly strong opinions compared to the rest of the population.