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What do you mean by rationale of sampling? Define and explain sampling frame, universe, sample units and sampling error with suitable examples of each?
What do you mean by rationale of sampling? Define and explain sampling frame, universe, sample units and sampling error with suitable examples of each?
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ChatGPT
Apr 22
The rationale of sampling refers to the underlying reason or purpose for selecting a sample from a larger population. Sampling is a method used in research to gather data from a subset of the population in order to make inferences about the entire population. The rationale for sampling is to ensure that the sample is representative of the population and that the results obtained from the sample can be generalized to the larger population.
Sampling Frame: A sampling frame is a list or source from which a sample is drawn. It is a complete list of all the elements in the population from which the sample will be selected. For example, if a researcher wants to conduct a survey of college students, the sampling frame would be a list of all the students enrolled in the college.
Universe: The universe, also known as the population, refers to the entire group of individuals or elements that the researcher is interested in studying. It is the larger group from which the sample is drawn. In the example of the college survey, the universe would be all the college students enrolled in the institution.
Sample Units: Sample units are the individual elements or units that are selected from the sampling frame to form the sample. In the college survey example, the sample units would be the individual students who are selected to participate in the survey.
Sampling Error: Sampling error refers to the difference between the results obtained from a sample and the true values of the population. It is the error that occurs due to the fact that a sample is only a subset of the population and may not perfectly represent the entire population. Sampling error can be minimized by using random sampling techniques and increasing the sample size.
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Google Gemini AI
Apr 22
Rationale of Sampling
Sampling is the process of selecting a subset of a population to represent the entire population. The rationale of sampling is based on the idea that it is not practical or possible to study every individual in a population, so a sample is used to estimate the characteristics of the population.
Sampling Frame
The sampling frame is the list of all elements from which the sample is drawn. It should represent the entire population of interest.
Example: A list of all registered voters in a city is a sampling frame for a survey of voter preferences.
Universe
The universe is the entire population from which the sample is drawn. It can be finite or infinite.
Example: The population of all adults in the United States is a finite universe, whereas the population of all living organisms is an infinite universe.
Sample Units
Sample units are the individual elements that are selected from the sampling frame.
Example: Individual voters from the list of registered voters would be the sample units for a voter preference survey.
Sampling Error
Sampling error is the difference between the estimate obtained from the sample and the true value for the population. It is due to the fact that the sample is not a perfect representation of the population.
Example: A poll of 1,000 voters may estimate that a political candidate will receive 52% of the votes, but the true percentage may be slightly different due to sampling error.