2010
DOI: 10.3233/mas-2010-0145
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Comparison of confidence intervals for the Poisson mean

Abstract: • We perform a comparative study among nineteen methods of interval estimation of the Poisson mean, in the intervals (0,2), [2,4] and (4,50], using as criteria coverage, expected length of confidence intervals, balance of noncoverage probabilities, E(P-bias) and E(P-confidence). The study leads to recommendations regarding the use of particular methods depending on the demands of a particular statistical investigation and prior judgment regarding the parameter value if any.

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Cited by 26 publications
(38 citation statements)
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“…Last, the accuracy level of the shear-induced [Ca 2ϩ ]i oscillation frequency measurements was determined based on a statistical formula that calculates the confidence interval for the mean of a Poisson distribution (central limit theorem; Ref. 60). For 20 -30 cells in the microscope field of view (assuming that a peak in a cell does not affect the peaks in another cell, an assumption that can be challenged; Ref.…”
Section: Methodsmentioning
confidence: 99%
“…Last, the accuracy level of the shear-induced [Ca 2ϩ ]i oscillation frequency measurements was determined based on a statistical formula that calculates the confidence interval for the mean of a Poisson distribution (central limit theorem; Ref. 60). For 20 -30 cells in the microscope field of view (assuming that a peak in a cell does not affect the peaks in another cell, an assumption that can be challenged; Ref.…”
Section: Methodsmentioning
confidence: 99%
“…Error bars for mutations frequencies were calculated as 95% Poisson confidence intervals (CIs), 52 , 53 the significance of differences between obtained mutations rates was tested with Fisher’s Exact Test.…”
Section: Methodsmentioning
confidence: 99%
“…Technical issues resulted in surveillance cameras at the north transect comprising less than 4% (31 of 832) of the total camera triggers, so the north transect was omitted from the nutria activity analysis. Poisson count confidence intervals for nutria activity were calculated using the Garwood method (Patil and Kulkarni 2012). Effect sizes were assessed by measuring relative risk (RR), which calculates the ratio of two probabilities (Grimes and Schulz 2008), since odds ratios could not be calculated for extreme survival probabilities equaling 0.0 or 1.0.…”
Section: Discussionmentioning
confidence: 99%