Other Sampling Designs

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Question 1

Question 1.

What type of sampling is required for valid inference?

Random sampling

Voluntary response sampling

Convenience sampling

Correct. This idea is so important that it bears repeating: random sampling is required for valid inference.

Incorrect. This idea is so important that it bears repeating: random sampling is required for valid inference.

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Question 2

Question 2.

Which of the following is unique to a simple random sample?

Every sample of size n has an equal chance of being selected.

Samples are taken in stages.

Some samples of size n cannot be taken from the population.

Every individual in the population has a chance of being selected.

The population is composed of groups and random sampling is done from within each of those groups.

Correct. A simple random sample is identified as a sampling method where every possible sample of size n has the same chance of being selected.

Incorrect. A simple random sample is identified as a sampling method where every possible sample of size n has the same chance of being selected.

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Questions 3-5

117

Question 3.

What is unique about a stratified sample?

Samples are taken in stages.

The population is composed of groups and random sampling is done from within each of those groups.

Some samples of size n cannot be taken from the population.

Every sample of size n has an equal chance of being selected.

Every individual in the population has a chance of being selected.

Correct. Stratified sampling is identified as a sampling method where random samples are taken from within each stratum.

Incorrect. Stratified sampling is identified as a sampling method where random samples are taken from within each stratum.

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Question 4.

True or false: Stratified sampling can only be done if the population can be classified into groups according to some characteristic known prior to the survey.

True

False

Correct. This is a correct statement.

Incorrect. This is a correct statement.

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Question 5.

For stratified sampling, the population is classified into groups prior to the survey. What are these groups called?

Bands

Blocks

Clans

Classes

Strata

Correct. The groups in stratified sampling are called strata; a group is called a stratum.

Incorrect. The groups in stratified sampling are called strata; a group is called a stratum.

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Questions 6-8

210

Question 6.

In the example of stratified sampling just discussed, what classifies students into strata?

Gender

Universities

Majors

Students

Correct. For this example, the strata are the majors.

Incorrect. For this example, the strata are the majors.

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Question 7.

True or false: For stratified sampling, a simple random sample is taken from some of the stratum.

False

True

Correct. For stratified sampling, a simple random sample is taken from EVERY stratum.

Incorrect. For stratified sampling, a simple random sample is taken from EVERY stratum.

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Question 8.

True or false: After taking a stratified sample, the results are analyzed separately for each group

True

False

Correct. After taking a stratified sample, the results from each strata are combined to form a complete sample.

Incorrect. After taking a stratified sample, the results from each strata are combined to form a complete sample.

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Questions 9-11

311

Question 9.

What is unique about a multistage sample?

Every individual in the population has a chance of being selected.

Samples are taken in stages.

Some samples of size n cannot be taken from the population.

Every sample of size n has an equal chance of being selected.

The population is composed of groups and random sampling is done from within each of those groups.

Correct. Multistage sampling is so named because sampling is done in stages.

Incorrect. Multistage sampling is so named because sampling is done in stages.

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Question 10.

For a two-stage multistage sample, what sampling is done in the first stage?

A random sample is taken of the groups, not the individuals.

A random sample is taken from every group of individuals.

A random sample is taken from all individuals.

Correct. For two stages, a sample of groups is taken in the first stage and then the individuals from within those groups in the second stage.

Incorrect. For two stages, a sample of groups is taken in the first stage and then the individuals from within those groups in the second stage.

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Question 11.

For multistage sampling, when is a sample of individuals taken?

In one of the middle stages.

In the first stage.

In the last stage.

Correct. Individuals are selected in the last stage of a multistage sample.

Incorrect. Individuals are selected in the last stage of a multistage sample.

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Questions 12-14

384

Question 12.

In the multistage example just discussed, what were the groups sampled in the first stage?

Counties

Farms

States

Countries

Correct. In this example, states are selected in the first stage.

Incorrect. In this example, states are selected in the first stage.

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Question 13.

In the multistage example just discussed, what were the subgroups sampled in the second stage?

Farms

States

Counties

Countries

Correct. In this example, counties were selected from the sampled states in the second stage.

Incorrect. In this example, counties were selected from the sampled states in the second stage.

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Question 14.

In the multistage example just discussed, what were the individuals sampled in the last stage?

Countries

States

Farms

Counties

Correct. The individuals in this study are the farms. Farms were sampled in the last or third stage of this multistage sample.

Incorrect. The individuals in this study are the farms. Farms were sampled in the last or third stage of this multistage sample.

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Questions 15-18

463

Question 15.

How does a stratified sample differ from a two-stage multistage sample?

For stratified, samples are taken from the entire population, but for multistage, sampling is only done within groups.

Sampling is done from every group for stratified, but only from some groups for multistage.

Sampling is taken from some groups for stratified, but from every group for multistage.

Correct. In multistage sampling, groups are first sampled and then individuals are only sampled from those groups. But for stratified sampling, individuals are sampled from every group.

Incorrect. In multistage sampling, groups are first sampled and then individuals are only sampled from those groups. But for stratified sampling, individuals are sampled from every group.

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Question 16.

Freshmen students at a large university are required to live in the twenty university dorms. If 15 freshman students are sampled from every dorm, what type of sampling is this?

Convenience sample

Simple random sample

Stratified sample

Multistage sample

Correct. Since freshmen are sampled from every dorm, this is stratified sampling.

Incorrect. Since freshmen are sampled from every dorm, this is stratified sampling.

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Question 17.

Freshmen students at a large university are required to live in the twenty university dorms. If six dorms are randomly selected and then 12 freshmen students are randomly sampled from each of these six dorms, what type of sampling is this?

Simple random sample

Multistage sample

Stratified sample

Convenience sample

Correct. Since dorms are randomly selected in the first stage and freshmen are randomly selected from only those dorms in the second stage, this is multistage sampling.

Incorrect.Since dorms are randomly selected in the first stage and freshmen are randomly selected from only those dorms in the second stage, this is multistage sampling.

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Question 18.

Freshmen students at a large university are required to live in the twenty university dorms. If fifty freshmen students are randomly selected from a list of all sampling, what type of sampling is this?

Convenience sample

Multistage sample

Simple random sample

Stratified sample

Correct. Since dorms are randomly selected in the first stage and freshmen are randomly selected from only those dorms in the second stage, this is multistage sampling.

Incorrect. Since dorms are randomly selected in the first stage and freshmen are randomly selected from only those dorms in the second stage, this is multistage sampling.

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StatTutor Lesson - Other Sampling Designs

Question 1

Question 1.

Question 2

Question 2.

Questions 3-5

Question 3.

Question 4.

Question 5.

Questions 6-8

Question 6.

Question 7.

Question 8.

Questions 9-11

Question 9.

Question 10.

Question 11.

Questions 12-14

Question 12.

Question 13.

Question 14.

Questions 15-18

Question 15.

Question 16.

Question 17.

Question 18.