300 W3 Discussion

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Neuman_Ch_04.ppt

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Sampling: How to Select a Few to Represent the Many

Chapter 4

Copyright © Allyn & Bacon 2009

How and Why Do Samples Work?

  • Sample = a small collection of units taken from a larger collection.
  • Population = a larger collection of units from which a sample is taken.
  • Random sample = a sample drawn in which a a random process is used to select units from a population
  • These are best to get an accurate representation of the population
  • But are difficult to conduct.

Copyright © Allyn & Bacon 2009

How and Why Do Samples Work?

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Focusing On At A Specific Group: Four Types Of Non-Random Samples

  • Convenience sampling (Accidental or Haphazard) = a non-random sample in which you use an non-systematic selection method that often produces samples very unlike the population.
  • Quota sample = non-random sample in which you use any means to fill pre-set categories that are characteristics of the population.

Copyright © Allyn & Bacon 2009

Focusing On At A Specific Group: Four Types Of Non-Random Samples

Copyright © Allyn & Bacon 2009

Focusing On At A Specific Group: Four Types Of Non-Random Samples

  • Purposive (Judgmental) sampling = a non-random sample in which you use many diverse means to select units that fit very specific characteristics.
  • Snowball (network) sampling = a non-random sample in which selection is based on connections in a pre-existing network.

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Coming to Conclusions about Large Populations

  • Sampling element = a case or unit of analysis of the population that can be selected for a sample.
  • Universe = the broad group to whom you wish to generalize your theoretical results.
  • Population = a collection of elements from which you draw a sample.

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Coming to Conclusions about Large Populations

  • Target population = the specific population that you used.
  • Sampling frame = a specific list of sampling elements in the target population.
  • Population parameter = any characteristic of the entire population that you estimate from a sample.

Copyright © Allyn & Bacon 2009

Coming to Conclusions about Large Populations

  • Sampling ratio = the ratio of the sample size to the size of the target population.

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Coming to Conclusions about Large Populations

  • Why Use a Random Sample?
  • Random samples are most likely to produce a sample that truly represents the population.
  • They are purely mathematical or mechanical.
  • Allow calculation of probability of outcomes with great precision.
  • sampling ratio = the ratio of the sample size to the size of the target population.
  • Sampling error = the degree to which a sample deviates from a population.

Copyright © Allyn & Bacon 2009

Coming to Conclusions about Large Populations

  • Types of Random Samples
  • Simple Random Samples = sample elements selected from the frame based on a mathematically random selection procedure
  • most times, a proper random sample yields results that are close to the population parameter
  • Sampling distribution = A plot of many random samples, with a sample characteristic across the bottom and the number of samples indicated along the side.

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Coming to Conclusions about Large Populations

  • Types of Random Samples
  • Systematic Sampling = An approximation to random sampling in which you select one in a certain number of sample elements, the number is from the sampling interval.
  • Sampling Interval = the size of the sample frame over the sample size, used in systematic sampling to select units.

Copyright © Allyn & Bacon 2009

Coming to Conclusions about Large Populations

  • Types of Random Samples
  • Stratified Sampling = a type of random sampling in which a random sample is draw from multiple sampling frames, each for a part of the population.

Copyright © Allyn & Bacon 2009

Coming to Conclusions about Large Populations

Copyright © Allyn & Bacon 2009

Coming to Conclusions about Large Populations

  • Types of Random Samples
  • Cluster (multi-stage) sampling = a multi-stage sampling method, in which clusters are randomly sampled, then a random sample of elements is taken from sampled clusters.

Copyright © Allyn & Bacon 2009

Coming to Conclusions about Large Populations

Copyright © Allyn & Bacon 2009

Coming to Conclusions about Large Populations

Copyright © Allyn & Bacon 2009

Three Specialized Sampling Techniques

  • Random Digit Dialing = Computer based random sampling of telephone numbers.
  • Within Household Samples = Random sampling from within households.
  • Sampling Hidden Populations
  • Hidden Population = A group that is very difficult to locate and may not want to be found, and therefore, are difficult to sample.

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Inferences from A Sample to A Population

  • How to Reduce Sampling Errors
  • the larger the sample size, the smaller the sampling error.
  • the greater the homogeneity (or the less the diversity), the smaller its sampling error.
  • How Large Should My Sample Be?
  • the smaller the population, the bigger the sampling ratio must be for an accurate sample.
  • as populations increase to over 250,000, sample size no longer needs to increase.

Copyright © Allyn & Bacon 2009

Inferences from A Sample to A Population

  • How to Create a Zone of Confidence
  • Confidence interval = a zone, above and below the estimate from a sample, within which a population parameter is likely to be.

55.6

48.4

Confidence Interval with sample size of 100, 99% confidence

52% estimate

53.5

50.5

52% estimate

Confidence Interval with sample size of 100, 99% confidence