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Sampling Methods Solutions

  • Probability sampling is the concept of statistical sampling in which every member of the population has    a known, non-zero chance of being selected   .
  • Selecting a probability sampling method is determined by:
    •    The data that needs to be collected   
    •    The size of the representative sample   
    •    How long it will take to collect the data, etc.   
  • Random sampling is one category of probability sampling that is used to help ensure that the sample accurately:

    •    Represents the population parameters   
    •    Minimizes bias   
    •    Provides an equal chance of being randomly selected   

Random Sampling Techniques

  •    Simple random   : Any individual in the population has an equal chance of being selected at random from the population.
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  •    Systematic   : After the population is randomized to avoid bias, a starting point is determined from the population, and then every nth individual is selected.
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  •    Stratified   : The researcher first divides the population into smaller groups with similar population characteristics that do not overlap. Then the researcher takes a random sample from each group in proportion to the population.
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  •    Cluster   : The researcher first groups the population by regions (or clusters), then entire clusters are randomly selected to represent the population.
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Example 1

Name the probability sampling method and the population.

A marketing company wants to test a new car advertisement. They divide their target audience into age groups (1825, 2640, 4160, 61+). From each age group, they randomly select a number of individuals, proportional to the group’s size, to watch the ad and provide feedback.


Stratified sample

Population: potential car purchasers (18+ years old)

Example 2

Name the probability sampling method and the population.

A researcher wants to study the health habits of high school students in Los Angeles, CA. Instead of trying to survey individual students from every school, they randomly select a cluster of five high schools in LA, and then survey every student within those selected high schools.

Cluster sample
Population: high school students in Los Angeles, CA

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