Large Sample Simultaneous Confidence Intervals for Multinomial Proportions

Quesenberry, C. P.; Hurst, D. C.

doi:10.2307/1266151

Cited by 58 publications

(49 citation statements)

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“…In contrast, 1994-2008 was characterized by relatively normal juvenile survival but declining survival rates in the older age classes (Monson and others, 2011). For graphical presentation, age distributions were lumped into three age classes including-(1) juveniles (0-age pups and 1-yr-old juveniles), (2) prime-age (2-8-yr-olds), and (3) old-age (>8 yr), and variability was calculated as simultaneous confidence intervals for multinomial proportions (Quesenberry and Hurst, 1964). The age range for "prime-age" was defined based on pre-spill age-at-death data and prior to any post-spill carcass collections.…”

Section: Methodsmentioning

confidence: 99%

2013 update on sea otter studies to assess recovery from the 1989 <i>Exxon Valdez</i> oil spill, Prince William Sound, Alaska

Ballachey¹,

Monson²,

Esslinger³

et al. 2014

Open-File Report

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For more information on the USGS-the Federal source for science about the Earth, its natural and living resources, natural hazards, and the environment-visit http://www.usgs.gov or call 1-888-ASK-USGS For an overview of USGS information products, including maps, imagery, and publications, visit http://www.usgs.gov/pubprodTo order this and other USGS information products, visit http://store.usgs.gov Suggested citation: Ballachey, B.E., Monson, D.H., Esslinger, G.G., Kloecker, K., Bodkin, J., Bowen, L., and Miles, A.K., 2014, 2013 update on sea otter studies to assess recovery from the 1989 Exxon Valdez oil spill, Prince William Sound, Alaska: U.S. Geological Survey Open-File Report 2014-1030, 40 p., http://dx.doi.org/10.3133/ofr20141030. ISSN 2331ISSN -1258 Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government.Although this report is in the public domain, permission must be secured from the individual copyright owners to reproduce any copyrighted material contained within this report. Executive SummaryOn March 24, 1989, the tanker vessel Exxon Valdez ran aground in Prince William Sound, Alaska, spilling an estimated 42 million liters of Prudhoe Bay crude oil. Oil spread in a southwesterly direction and was deposited on shores and waters in western Prince William Sound (WPWS). The sea otter (Enhydra lutris) was one of more than 20 nearshore species considered to have been injured by the spill. Since 1989, the U.S. Geological Survey has led a research program to evaluate effects of the spill on sea otters and assess progress toward recovery, as defined by demographic and biochemical indicators. Here, we provide an update on the status of sea otter populations in WPWS, presenting findings through 2013. To assess recovery based on demographic indicators, we used aerial surveys to estimate abundance and annual collections of sea otter carcasses to evaluate patterns in ages-at-death. To assess recovery based on biochemical indicators, we quantified transcription rates for a suite of genes selected as potential indicators of oil exposure in sea otters based on laboratory studies of a related species, the mink (Mustela vison). In our most recent assessment of sea otter recovery, which incorporated results from a subset of studies through 2009, we concluded that recovery of sea otters in WPWS was underway. This conclusion was based on increasing abundance throughout WPWS, including increasing numbers at northern Knight Island, an area that was heavily oiled in 1989 and where the local sea otter population had previously shown protracted injury and lack of recovery. However, we did not conclude that the WPWS sea otter population had fully recovered, due to indications of continuing reduced survival and exposure to lingering oil in sea otters at Knight Island, at least through 2009. Based on data available through 2013, we now conclude that the status of sea otters-at all spatial scales within WPWS-is consistent with the designation of recovery fro...

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Section: Methodsmentioning

confidence: 99%

2013 update on sea otter studies to assess recovery from the 1989 <i>Exxon Valdez</i> oil spill, Prince William Sound, Alaska

Ballachey¹,

Monson²,

Esslinger³

et al. 2014

Open-File Report

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“…Piegorsch and Richwine (2001) examined some types of confidence intervals in the context of analysis of genetic mutant spectra. Quesenberry and Hurst (1964) and Goodman (1965) explored methods for obtaining a set of simultaneous confidence intervals for the probabilities of a multinomial distribution. A comparison of performance of various confidence intervals also appeared in Alghamdi (2015); Aho and Bowyer (2015).…”

Section: Introductionmentioning

confidence: 99%

Mean and variance of ratios of proportions from categories of a multinomial distribution

et al. 2018

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Ratio distribution is a probability distribution representing the ratio of two random variables, each usually having a known distribution. Currently, there are results when the random variables in the ratio follow (not necessarily the same) Gaussian, Cauchy, binomial or uniform distributions. In this paper we consider a case, where the random variables in the ratio are joint binomial components of a multinomial distribution. We derived formulae for mean and variance of this ratio distribution using a simple Taylor-series approach and also a more complex approach which uses a slight modification of the original ratio. We showed that the more complex approach yields better results with simulated data. The presented results can be directly applied in the computation of confidence intervals for ratios of multinomial proportions.

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“…The confidence regions are based on the multinomial distribution (see Queensberry andHurst . 1964, andSnee, 1974).…”

mentioning

confidence: 99%

An Experimental Analysis of Nash Refinements in Signaling Games

Banks

Camerer

Porter

1994

Games and Economic Behavior

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Large Sample Simultaneous Confidence Intervals for Multinomial Proportions

Cited by 58 publications

References 0 publications

2013 update on sea otter studies to assess recovery from the 1989 <i>Exxon Valdez</i> oil spill, Prince William Sound, Alaska

2013 update on sea otter studies to assess recovery from the 1989 <i>Exxon Valdez</i> oil spill, Prince William Sound, Alaska

Mean and variance of ratios of proportions from categories of a multinomial distribution

An Experimental Analysis of Nash Refinements in Signaling Games

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