Unsourced material may be challenged and removed. The term statistic is degroot & schervish probability and statistics third edition pdf both for the
Unsourced material may be challenged and removed. The term statistic is degroot & schervish probability and statistics third edition pdf both for the function and for the value of the function on a given sample.
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For example, the parameter may be the average height of 25-year-old men in North America. 100 numbers is a statistic. 25-year-old North American men is a parameter, and not a statistic. Information of a statistic on model parameters can be defined in several ways. A diagram that deals with the difference between statistic and parameter. This page was last edited on 12 December 2017, at 14:24.
We discuss the general philosophical concept of evidence, connecting it to statistics. We outline how statistical evidence can be quantified using the Bayes factor. We discuss the philosophical details and difficulties in using the Bayes factor. A core aspect of science is using data to assess the degree to which data provide evidence for competing claims, hypotheses, or theories. Evidence is by definition something that should change the credibility of a claim in a reasonable person’s mind. However, common statistics, such as significance testing and confidence intervals have no interface with concepts of belief, and thus it is unclear how they relate to statistical evidence. We explore the concept of statistical evidence, and how it can be quantified using the Bayes factor.