Simultaneous tests and confidence intervals
نویسندگان
چکیده
منابع مشابه
Confidence Intervals and Hypothesis Tests
Overview: Recall that a point estimator for a parameter of interest is a statistic which is a function of the random variables from which our sampling method chooses values. The properties of such an estimator, such as having a small bias or a small mean square error, are usually dependent only upon certain features of the sampling distribution of the statistic, such as its mean or variance. Ho...
متن کاملSimultaneous confidence intervals for image reconstruction problems
We provide a methodology for specifying a set of simultaneous (1 CY)% confidence intervals on the intensity of each image pixel for emission and transmission tomography. These intervals give a (1 a)% confidence region which, given a specific family of noise distributions, e.g. Gaussian or Poisson, is guaranteed to contain the actual image with probability at least 1 -a. This region is a "set es...
متن کاملSimultaneous confidence intervals for comparing binomial parameters.
SUMMARY To compare proportions with several independent binomial samples, we recommend a method of constructing simultaneous confidence intervals that uses the studentized range distribution with a score statistic. It applies to a variety of measures, including the difference of proportions, odds ratio, and relative risk. For the odds ratio, a simulation study suggests that the method has cover...
متن کاملInformative simultaneous confidence intervals in hierarchical testing.
BACKGROUND AND OBJECTIVES In clinical trials involving multiple tests it is often difficult to obtain informative simultaneous confidence intervals (SCIs). In particular in hierarchical testing, no quantification of effects is possible for the first tested (and most important) hypothesis after its rejection. Our goal is a construction of SCIs that are always informative. METHODS We present an...
متن کاملAssessing Conformance with Benford’s Law: Goodness-Of-Fit Tests and Simultaneous Confidence Intervals
Benford's Law is a probability distribution for the first significant digits of numbers, for example, the first significant digits of the numbers 871 and 0.22 are 8 and 2 respectively. The law is particularly remarkable because many types of data are considered to be consistent with Benford's Law and scientists and investigators have applied it in diverse areas, for example, diagnostic tests fo...
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ژورنال
عنوان ژورنال: Behavior Research Methods, Instruments, & Computers
سال: 1986
ISSN: 0743-3808,1532-5970
DOI: 10.3758/bf03204409