What are the types of probability sampling that the population is given an equal chance of being selected through lottery type sampling?

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Definition: Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population. If for some reasons, the sample does not represent the population, the variation is called a sampling error.

Description: Random sampling is one of the simplest forms of collecting data from the total population. Under random sampling, each member of the subset carries an equal opportunity of being chosen as a part of the sampling process. For example, the total workforce in organisations is 300 and to conduct a survey, a sample group of 30 employees is selected to do the survey. In this case, the population is the total number of employees in the company and the sample group of 30 employees is the sample. Each member of the workforce has an equal opportunity of being chosen because all the employees which were chosen to be part of the survey were selected randomly. But, there is always a possibility that the group or the sample does not represent the population as a whole, in that case, any random variation is termed as a sampling error.

An unbiased random sample is important for drawing conclusions. For example when we took out the sample of 30 employees from the total population of 300 employees, there is always a possibility that a researcher might end up picking over 25 men even if the population consists of 200 men and 100 women. Hence, some variations when drawing results can come up, which is known as a sampling error. One of the disadvantages of random sampling is the fact that it requires a complete list of population. For example, if a company wants to carry out a survey and intends to deploy random sampling, in that case, there should be total number of employees and there is a possibility that all the employees are spread across different regions which make the process of survey little difficult.

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What is Probability Sampling?

What are the types of probability sampling that the population is given an equal chance of being selected through lottery type sampling?

Sampling takes on two forms in statistics: probability sampling and non-probability sampling:

  • Probability sampling uses random sampling techniques to create a sample. For each element in the sample, the probability is known and non-zero. In principal, every element of the population has the same chance at being included in the sample. This is a achieved with a sampling frame.
  • Non-probability sampling techniques use non-random processes like researcher judgment or convenience sampling. The probability of being selected for the sample is unknown.

Probability sampling is based on the fact that every member of a population has a known and equal chance of being selected. For example, if you had a population of 100 people, each person would have odds of 1 out of 100 of being chosen. With non-probability sampling, those odds are not equal. For example, a person might have a better chance of being chosen if they live close to the researcher or have access to a computer. Probability sampling gives you the best chance to create a sample that is truly representative of the population.

As a rule of thumb, your sample size should be over about 30. If you have a small sample, you may need to try one of the non-probability sampling techniques instead.

Watch the video for an overview of probability sampling:

Probability Sampling Methods

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  • Simple random sampling is a completely random method of selecting subjects. These can include assigning numbers to all subjects and then using a random number generator to choose random numbers. Classic ball and urn experiments are another example of this process (assuming the balls are sufficiently mixed). The members whose numbers are chosen are included in the sample.
  • Stratified Random Sampling involves splitting subjects into mutually exclusive groups and then using simple random sampling to choose members from groups.
  • Systematic Sampling means that you choose every “nth” participant from a complete list. For example, you could choose every 10th person listed.
  • Cluster Random Sampling is a way to randomly select participants from a list that is too large for simple random sampling. For example, if you wanted to choose 1000 participants from the entire population of the U.S., it is likely impossible to get a complete list of everyone. Instead, the researcher randomly selects areas (i.e. cities or counties) and randomly selects from within those boundaries.
  • Multi-Stage Random sampling uses a combination of techniques.

Advantages and Disadvantages

Each probability sampling method has its own unique advantages and disadvantages. In general, probability sampling minimized the risk of systematic bias. This means that you are reducing the risk of over- or under-representation--ensuring your results are representative of the population.

Using probability sampling also means that you can use statistical techniques like confidence intervals and margins of error to validate your results.


Advantages

  • Cluster sampling: convenience and ease of use.
  • Simple random sampling: creates samples that are highly representative of the population.
  • Stratified random sampling: creates strata or layers that are highly representative of strata or layers in the population.
  • Systematic sampling: creates samples that are highly representative of the population, without the need for a random number generator.

Disadvantages

  • Cluster sampling: might not work well if unit members are not homogeneous (i.e. if they are different from each other).
  • Simple random sampling: tedious and time consuming, especially when creating larger samples.
  • Stratified random sampling: tedious and time consuming, especially when creating larger samples.
  • Systematic sampling: not as random as simple random sampling,

References

Cook, T. (2005). Introduction to Statistical Methods for Clinical Trials (Chapman & Hall/CRC Texts in Statistical Science) 1st Edition. Chapman and Hall/CRC
Everitt, B. S.; Skrondal, A. (2010), The Cambridge Dictionary of Statistics, Cambridge University Press.
Levine, D. (2014). Even You Can Learn Statistics and Analytics: An Easy to Understand Guide to Statistics and Analytics 3rd Edition. Pearson FT Press

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What are the types of probability sampling that the population is given an equal chance of being selected through lottery type sampling?

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What type of probability sampling in which each element of the population has an equal chance of being selected?

Simple random sampling. In simple random sampling (SRS), each sampling unit of a population has an equal chance of being included in the sample.

Which of the following is the probability method of selecting samples from a population?

Major probability sampling methods are simple random sampling, stratified random sampling, and Cluster sampling, and Systematic sampling.

What is equal probability sampling?

Sampling which results in each person having the same chance of being selected is termed equal probability of selection method (EPSEM) sampling.

What type of probability sampling is considered as the best type of sampling?

Simple random sampling: One of the best probability sampling techniques that helps in saving time and resources, is the Simple Random Sampling method. It is a reliable method of obtaining information where every single member of a population is chosen randomly, merely by chance.