The fallacy of placing confidence in confidence intervals
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چکیده
منابع مشابه
The fallacy of placing confidence in confidence intervals
Interval estimates - estimates of parameters that include an allowance for sampling uncertainty - have long been touted as a key component of statistical analyses. There are several kinds of interval estimates, but the most popular are confidence intervals (CIs): intervals that contain the true parameter value in some known proportion of repeated samples, on average. The width of confidence int...
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A set of N data elements (xI +•.• + X~)/N and variance of the th The r moment of the data elements elements is used to estimate E(xr ). th r x1' •.•• xN has r moment E(x)= th r 2r 2 r r moment Var(x ) = E(x )-E (x ). in an arbitrary subset of k Over all the choices of the sample, the mean error is zero and the mean squared error N-k r k(N-I) Var(x). A little-known theorem by Marlow shows that t...
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Classical confidence intervals are often misunderstood by particle physicists and the general public alike. The confusion arises from the two different definitions of probability in common use. As a result, there is general dissatisfaction when confidence intervals are empty or they exclude parameter values for which the experiment is insensitive. In order to clarify these issues, the relation ...
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ژورنال
عنوان ژورنال: Psychonomic Bulletin & Review
سال: 2015
ISSN: 1069-9384,1531-5320
DOI: 10.3758/s13423-015-0947-8