notes/education/statistics/Sampling.md
2024-01-18 14:21:30 -07:00

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(Ch 19, stat 1040)

Term Definition
Qualitative A descriptive value (red, blue, high, low)
Quantitative A numerical value (7, 8, 9)
Population The entire set of existing units that investigators wish to study
Sample A portion or subset of the population
Parameter A number that describes a characteristic of a population (10% of US senators voted for something)
Statistic A number that describes a sample characteristic (71% of Americans feel that ...)

A global consumer survey reported that 6% of US taxpayers used or owned cryptocurrency in 2020. The US government is interested in knowing if this percentage has increased. The University of Chicago surveys 1,004 taxpayers and finds that 13% have used or owned crypto in the past year (2021)

In the above example:

  • The population was US taxpayers
  • The parameter was 6%
  • The sample was 1004 taxpayers
  • The statistic was 13%

Simple Random Samples

Advantages:

  • Procedure is impartial
  • Law of Averages Disadvantages
  • Not always possible
  • Can be very expensive

Bias

Bias Type Description
Selection When the procedure that selects the sample is biased
Non-Response Those that don't respond to a survey may have different characteristics than those that do respond