Question

For each of the following situations, state which type of sampling plan was used. Explain whether...

For each of the following situations, state which type of sampling plan was used. Explain whether you think the sampling plan would result in a biased sample.
a) You randomly sample 15 schools out of 50 elementary schools in your city, and then select every student in those 15 schools to be in your sample, for a total of 1500 students.

b) You randomly sample 1500 students across all 50 elementary schools in your city.

c) Out of the 50 schools in your city, 25 are from school district A and the other 25 from school district B. You randomly sample 750 students across schools from district A and 750 students across schools from district B.

d) From all 50 schools you select the first 1500 students by alphabetical order of last name to be in your sample.

Math   Statistics-And-Probability   
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Answer #1

a) You randomly sample 15 schools out of 50 elementary schools in your city, and then select every student in those 15 schools to be in your sample, for a total of 1500 students.

- Cluster Sampling ( A group is chosen )

This is an unbiased method if cluster size is same else biased

b) You randomly sample 1500 students across all 50 elementary schools in your city.

- Simple Random Sampling

This is an unbiased method

c) Out of the 50 schools in your city, 25 are from school district A and the other 25 from school district B. You randomly sample 750 students across schools from district A and 750 students across schools from district B.

- Stratified sampling ( Some out of a group are chosen )

This is an unbiased method

d) From all 50 schools you select the first 1500 students by alphabetical order of last name to be in your sample

- Systematic / Preferential sampling

This is biased method

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