Considerations for Small Samples in Inferential Statistics


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Why are small sample sizes not recommended for inferential statistics?

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1. Tony studied student grade improvement after exercise. His participants had the following results: -3, 5, 1, -2 and 4. What degrees of freedom should Tony use in his calculations?

2. Samples under the size of _____ should be treated as small sample sizes.

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About This Quiz & Worksheet

There are a few things to consider when dealing with small samples in inferential statistics. These multiple-choice questions will test what you know about this subject in areas like the reason that small sample sizes are not necessarily a good idea for inferential statistics and the usage of degrees of freedom.

Quiz & Worksheet Goals

You'll be covering the following topics related to inferential statistics:

  • The size of samples that are treated as small samples
  • Reason a researcher would use a small sample size in a study if it's known that small samples risk results that are un-generalizable
  • Calculating a confidence interval to make inferences about an entire population

Skills Practiced

  • Reading comprehension - make sure you understand the most important information about the reason that small sample sizes are not a good idea for inferential statistics
  • Knowledge application - use your knowledge to answer questions about the reason a researcher might use a small sample size in a study if it's already known that small samples are un-generalizable and the way in which degrees of freedom are used
  • Information recall - access the knowledge you've gained regarding the size of samples that are considered small

Additional Learning

To learn more about small sample sizes, take advantage of 24/7 access to the lesson called Considerations for Small Samples in Inferential Statistics. These points will be discussed for your benefit:

  • Null hypothesis in an experiment
  • Type II Error when a null hypothesis is false
  • Making predictions about populations in inferential statistics