Exercise Content

1. 
   
   Probability Sampling Techniques
   Random Sampling
   When: There is a very large population and it is difficult to identify every member of the population.
   How: The entire process of sampling is done in a single step with each subject selected independently of the other members of the population. The term random has a very precise meaning and you can’t just collect responses on the street and have a random sample.
   Pros: In this technique, each member of the population has an equal chance of being selected as subject.
   Cons: When there are very large populations, it is often difficult to identify every member of the population and the pool of subjects becomes biased. Dialing numbers from a phone book for instance, may not be entirely random as the numbers, though random, would correspond to a localized region. A sample created by doing so might leave out many sections of the population that are significant to the study.
   Use case: Want to study and understand the rice consumption pattern across rural India? While it might not be possible to cover every household, you could draw meaningful insights by building your sample from different districts or villages (depending on the scope).
   Systematic Sampling
   When: Your given population is logically homogenous.
   How: In a systematic sample, after you decide the sample size, arrange the elements of the population in some order and select terms at regular intervals from the list.
   Pros: The main advantage of using systematic sampling over simple random sampling is its simplicity. Another advantage of systematic random sampling over simple random sampling is the assurance that the population will be evenly sampled. There exists a chance in simple random sampling that allows a clustered selection of subjects. This can be avoided through systematic sampling.
   Cons: The possible weakness of the method that may compromise the randomness of the sample is an inherent periodicity of the list. This can be avoided by randomizing the list of your population entities, as you would randomize a deck of cards for instance, before you proceed with systematic sampling.
   Use Case: Suppose a supermarket wants to study buying habits of their customers. Using systematic sampling, they can choose every 10th or 15th customer entering the supermarket and conduct the study on this sample.
   Stratified SamplingWhen: You can divide your population into characteristics of importance for the research.
   How: A stratified sample, in essence, tries to recreate the statistical features of the population on a smaller scale. Before sampling, the population is divided into characteristics of importance for the research — for example, by gender, social class, education level, religion, etc. Then the population is randomly sampled within each category or stratum. If 38% of the population is college-educated, then 38% of the sample is randomly selected from the college-educated subset of the population.
   Pros: This method attempts to overcome the shortcomings of random sampling by splitting the population into various distinct segments and selecting entities from each of them. This ensures that every category of the population is represented in the sample. Stratified sampling is often used when one or more of the sections in the population have a low incidence relative to the other sections.
   Cons: Stratified sampling is the most complex method of sampling. It lays down criteria that may be difficult to fulfill and place a heavy strain on your available resources.
   Use Case: If 38% of the population is college-educated and 62% of the population have not been to college, then 38% of the sample is randomly selected from the college-educated subset of the population and 62% of the sample is randomly selected from the non-college-going population. Maintaining the ratios while selecting a randomized sample is key to stratified sampling.
   Non-Probability Sampling Techniques
   Convenience Sampling
   When: During preliminary research efforts.
   How: As the name suggests, the elements of such a sample are picked only on the basis of convenience in terms of availability, reach and accessibility.
   Pros: The sample is created quickly without adding any additional burden on the available resources.
   Cons: The likelihood of this approach leading to a sample that is truly representative of the population is very poor.
   Use Case: This method is often used during preliminary research efforts to get a gross estimate of the results, without incurring the cost or time required to select a random sample.
   Snowball Sampling
   When: When you can rely on your initial respondents to refer you to the next respondents.
   How: Just as the snowball rolls and gathers mass, the sample constructed in this way will grow in size as you move through the process of conducting a survey. In this technique, you rely on your initial respondents to refer you to the next respondents whom you may connect with for the purpose of your survey.
   Pros: The costs associated with this method are significantly lower, and you will end up with a sample that is very relevant to your study.
   Cons: The clear downside of this approach is that you may restrict yourself to only a small, largely homogenous section of the population.
   Use Case: Snowball sampling can be useful when you need the sample to reflect certain features that are difficult to find. To conduct a survey of people who go jogging in a certain park every morning, for example, snowball sampling would be a quick, accurate way to create the sample.
   Quota Sampling
   When: When you can characterize the population based on certain desired features.
   How: Quota sampling is the non-probability equivalent of stratified sampling that we discussed earlier. It starts with characterizing the population based on certain desired features and assigns a quota to each subset of the population.
   Pros: This process can be extended to cover several characteristics and varying degrees of complexity.
   Cons: Though the method is superior to convenience and snowball sampling, it does not offer the statistical insights of any of the probability methods.
   Use Case: If a survey requires a sample of fifty men and fifty women, a quota sample will survey respondents until the right number of each type has been surveyed. Unlike stratified sampling, the sample isn’t necessarily randomized.
   In this assignment Choose one sampling technique from each category (Probability and Non-Probability) and in 1 page provide an example of how those techniques are used.