2005
DOI: 10.1007/s10654-004-6517-4
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An easy to use method to approximate Poisson confidence limits

Abstract: Despite the ever larger choice of softwares and statistical packages allowing fast and accurate computation of binomial and Poisson confidence limits, there is always a need for a simple and reliable formula allowing non-computerized computations. The method proposed in this paper is derived from the Freeman and Tukey's variance stabilizing transformation for a random Poisson variable and adjusted for giving the best fit with the exact Poisson values. Despite its simplicity, allowing its use in any circumstanc… Show more

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Cited by 22 publications
(25 citation statements)
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(5 reference statements)
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“…We used the aggregate data to compare the weekly counts within each hospital and across all hospitals combined, estimating associated 95% CIs using the Poisson exact method. 19 We calculated means of hospital statistics and their 95% CIs in the combined analyses. In addition, we calculated percentage change from the corresponding week in the previous year (2018-2019), together with 95% CIs using the Wilson score interval, in the three phases described above.…”
Section: Discussionmentioning
confidence: 99%
“…We used the aggregate data to compare the weekly counts within each hospital and across all hospitals combined, estimating associated 95% CIs using the Poisson exact method. 19 We calculated means of hospital statistics and their 95% CIs in the combined analyses. In addition, we calculated percentage change from the corresponding week in the previous year (2018-2019), together with 95% CIs using the Wilson score interval, in the three phases described above.…”
Section: Discussionmentioning
confidence: 99%
“…Consequently the performance of each method was studied separately on the three regions, namely (0,2), [2,4] and (4,50] in the parameter space. Panels The observations from these graphs are tabulated in Table 2.…”
Section: Comparison Based On Coverages and E(loc)mentioning
confidence: 99%
“…For a two sided CI procedure it is desirable to have the right and left noncoverage probabilities to be fairly balanced. We plot the ratio of the left to right noncoverage probabilities as a function of Poisson mean for the nineteen methods in Figure 5A and 5B for regions (2,4) and (4,50). For balanced noncoverage, ratio should oscillate in the close neighborhood of 1.…”
Section: Comparison With Respect To Balance Of Noncoverage Probabilitiesmentioning
confidence: 99%
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