In: Statistics and Probability
A statistics student at a small liberal arts college who is curious about the relationship between the amount of time students at his college spend on social networking sites and their performance at school decides to conduct a survey. Four research strategies for collecting data are described below. In each, name the sampling method proposed and any bias you might expect. Strategy 1: He obtains a list of the 1500 students at the college. He chooses a random number k k between 1 and 15 and then samples that person and every k k th person on the list. He emails the survey to each of the people in the sample and asks them to complete it by next Friday. 1. What is the sampling method? A. Cluster sampling B. Simple random sampling C. Convenience sampling D. Systematic sampling E. Stratified sampling 2. What type of bias would you expect? (check all that apply) A. Selection bias B. Nonresponse bias C. No bias in this survey D. Response bias Strategy 2: He gives out the survey only to his friends, and makes sure each one of them fills out the survey. 3. What is the sampling method? A. Simple random sampling B. Convenience sampling C. Systematic sampling D. Stratified sampling E. Cluster sampling 4. What type of bias would you expect? (check all that apply) A. Nonresponse bias B. Response bias C. No bias in this survey D. Selection bias Strategy 3: He randomly chooses 3 floors of the largest dorm on campus and distributes a paper survey to each resident on those floors. He places a box in the common room of the dorm to collect the completed surveys. 5. What is the sampling method? A. Stratified sampling B. Cluster sampling C. Systematic sampling D. Simple random sampling E. Convenience sampling 6. What type of bias would you expect? (check all that apply) A. Selection bias B. No bias in this survey C. Nonresponse bias D. Response bias 7. Which strategy will give him the most representative sample of students at his college? A. Strategy 1 B. Strategy 2 C. Strategy 3