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What is inferential statistics?

What is inferential statistics? Here are some definitions.

Noun
  1. (statistics) A branch of statistics studying statistical inference—drawing conclusions about a population from a random sample drawn from it, or, more generally, about a random process from its observed behavior during a finite period of time.
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Examples
This more subtle observation cannot be appreciated without a minimal knowledge of introductory inferential statistics and the ability to do long division.
No inferential statistics conducted for this parameter.
The training includes a basic introduction to the concepts of descriptive and inferential statistics.
The rules of sampling for inferential statistics need to be considered before conclusions are drawn from Web-generated data.
And, finally, if the study is causal in design, then inferential statistics such as the t-test, ANOVA, and Chi-square tests should be used.
Small sample sizes limit the use of inferential statistics and decrease the external validity or generalizability of the findings.

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