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Homework answers / question archive / The population used in this exercise consists of 317 freshmen students enrolled in the College of Education at North Carolina State University in the fall of 2006

The population used in this exercise consists of 317 freshmen students enrolled in the College of Education at North Carolina State University in the fall of 2006

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The population used in this exercise consists of 317 freshmen students enrolled in the College of Education at North Carolina State University in the fall of 2006. Generate three possible methods for selecting a representative sample of size 20 from this population. Describe the three methods briefly but clearly. You must name the type of sampling (convenience etc) you are using in each case and how you would chose this sample.

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Method 1: Simple Random Sampling:

  • Simple random sampling, sometimes abbreviated as SRS, is the purest probability sampling method where in all individuals have equal chance to be included in the sample. So, in SRS method, 20 freshman are all randomly drawn from the population of 317 freshman. To ensure that the process is random, the researcher can put 317 names or associated IDs in a hat and draw 20 names from the hat with a blindfold.

Method 2: Systematic Random Sampling:

  • Systematic random sampling is a probability sampling method where a number is randomly generated using a random number generator. If, let us say, 9 is the number that is randomly generated then every 9th member from the population is systematically selected to be included in the study. This study, assuming a complete list of all 317 freshmen is available, can randomly generate a number and use that number to systematically select 20 students into the sample. For instance, every 9th, 18th, 27th member from the student population can be recruited into the sample.

Method 3: Stratified Random Sampling:

  • Stratified random sampling is a probability sampling method wherein population based on key characteristics they share is first divided into homogeneous subgroups called strata. Thereafter, samples are drawn randomly from each of the stratum. In this study, the population depending on the central research question can first be divided based on gender or race or region before drawing randomly from each stratum to have a representative sample of 20 individuals from 317 freshmen students.