Censored Data

Steven P. Millard
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Steven P. Millard: Probability, Statistics and Information

Chapter Chapter 8 in EnvStats, 2013, pp 175-209 from Springer

Abstract: Abstract Often in environmental data analysis values are reported simply as being “below detection limit” along with the stated detection limit (e.g., Helsel 2012; Porter et al. 1988; USEPA 1992c, 2001, 2002a, d, 2009; Singh et al. 2002, 2006, 2010b). A sample of data contains censored observations if some of the observations are reported only as being below or above some censoring level. Although this results in some loss of information, we can still use data that contain nondetects for graphical and statistical analyses. Statistical methods for dealing with censored data have a long history in the fields of survival analysis and life testing (e.g., Hosmer et al. 2008; Kleinbaum and Klein 2011; Nelson 2004). In this chapter, we will discuss how to create graphs, estimate distribution parameters and quantiles, construct prediction and tolerance intervals, perform goodness-of-fit tests, and compare distributions using censored data. See Helsel (2012) and Millard et al. (2014) for a more in-depth discussion of analyzing environmental censored data.

Keywords: Lognormal Distribution; Censor Data; Prediction Interval; Tolerance Interval; Monte Carlo Trial (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-8456-1_8

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