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Multiple Comparisons: Andrew Mehrtens(English)

Multiple Comparisons: Andrew Mehrtens(English)

          
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About the Book

Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: In statistics, the multiple comparisons, or multiple testing, problem occurs when one considers a set, or family, of statistical inferences simultaneously. Errors in inference, including confidence intervals that fail to include their corresponding population parameters, or hypothesis tests that incorrectly reject the null hypothesis, are more likely to occur when one considers the family as a whole. Several statistical techniques have been developed to prevent this from happening, allowing significance levels for single and multiple comparisons to be directly compared. These techniques generally require a stronger level of evidence to be observed in order for an individual comparison to be deemed "significant", so as to compensate for the number of inferences being made. The term "comparisons" in multiple comparisons typically refers to comparisons of two groups, such as a treatment group and a control group. "Multiple comparisons" arise when a statistical analysis encompasses a number of formal comparisons, with the presumption that attention will focus on the strongest differences among all comparisons that are made. Failure to compensate for multiple comparisons can have important real-world consequences, as illustrated by the following examples. In all three examples, as the number of comparisons increases, it becomes more likely that the groups being compared will appear to differ in terms of at least one attribute. However a difference between the groups is only meaningful if it generalizes to an independent sample of data (e.g. to an independent set of people treated with the same drug). Our confidence that a result will generalize to independent data should generally be weaker if it is observed as part of an analysis that involves m... More: http://booksllc.net/?id=9444220


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Product Details
  • ISBN-13: 9781156281994
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 36
  • Spine Width: 2 mm
  • Weight: 68 gr
  • ISBN-10: 1156281997
  • Publisher Date: 31 May 2010
  • Binding: Paperback
  • Language: English
  • Series Title: English
  • Sub Title: Andrew Mehrtens
  • Width: 229 mm


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