What is a sampling distribution under a fixed population, sampling design, and sample size?
Conditions
- The population is fixed.
- The sampling design is fixed.
- The sample size is fixed.
Reasoning, step by step
- Fix the population, sampling design, and sample size.
- Identify the statistic being calculated from each sample.
- Record the probabilities of all possible values that this statistic can take under repeated sampling.
Example
The script states: 'Fix a population, sampling design and sample size. The sampling distribution records the probabilities of the statistic’s possible values under repeated sampling.'
Common misconceptions
- Believing that the sampling distribution changes if the sample size is altered.
- Confusing the sampling distribution of a statistic with the distribution of the raw data in the population.
Watch the explanation
Connected concepts
Explore next
Related questions
A dot plot from repeated samples approximates the sampling distribution by showing the empirical frequencies of the statistic's values. It need not include every possible sample and can vary with the number of simulation repetitions.
Conditions: Repeated samples are drawn from the population.; A dot plot is constructed from the resulting statistics.
Yes, under the specified random-sampling model, the sample proportion is unbiased for the population proportion. However, the observed mean of a finite number of estimates need not match the parameter exactly.
Conditions: A specified random-sampling model is used.; The estimator is the sample proportion.; The target parameter is the population proportion.
Answers are generated from source material and independently checked. Consult the original video or creator if something is unclear.