2009
DOI: 10.1080/03610920802602958
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Robust Confidence Intervals for the Bernoulli Parameter

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Cited by 3 publications
(3 citation statements)
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“…(1) p o = n pos n pos + n neg which gives an upper and lower limit in which p lies, given p o and the number n of tests performed. Out of various confidence estimations for the Bernoulli process, we have chosen a 95% Wilson interval (Wilson 1927), which provides particularly robust confidence intervals for a small number of trials (Song et al 2009). Wilson intervals were calculated using the statsmodels module in Python (Seabold and Perktold 2010).…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…(1) p o = n pos n pos + n neg which gives an upper and lower limit in which p lies, given p o and the number n of tests performed. Out of various confidence estimations for the Bernoulli process, we have chosen a 95% Wilson interval (Wilson 1927), which provides particularly robust confidence intervals for a small number of trials (Song et al 2009). Wilson intervals were calculated using the statsmodels module in Python (Seabold and Perktold 2010).…”
Section: Discussionmentioning
confidence: 99%
“…Statistically, this represents a Bernoulli process with only two outcomes (1) or (0). This discreteness of results makes the analysis of any Bernoulli process deceptively tricky (Song et al 2009 ). We assume the true contamination rate of chips p depends only on the geometry of the tested chips by keeping all the background variables constant.…”
Section: Methodsmentioning
confidence: 99%
“…We can consider the outcome of each trial as a Bernoulli random variable with parameter x (the probability of a subject selecting the label given by a human). For a given excerpt for which the human label is selected h times by N independent subjects, we can estimate the Bernoulli parameter x using the minimum mean-squared error estimator, assuming x is distributed uniform in [0, 1]:x(h) = (h + 1)/(N + 2) (Song et al 2009). The variance of this estimate is given bŷ…”
Section: Artistmentioning
confidence: 99%