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Stats, Volume 2, Issue 1

2019 March - 12 articles

Cover Story: Published results are rich sources of information. However, although the information is readily available, the format is often inconvenient. Instead of mean and standard deviation, articles may report the median, interquartile or range. Extracting the mean and standard deviation from these summary statistics has a long and rich tradition. Despite this fact, the formulas routinely used for extraction do not take into account the uncertainty of the resulting estimates. Assessment of the uncertainty of these estimates requires a probabilistic approach. This paper assesses the possibility of extraction of means and their associated confidence intervals when only the range is made available. The article uses maximum likelihood estimation with order statistics (MLEOS). The feasibility of likelihood based confidence intervals are demonstrated via simulations and two real life examples. View this paper.
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Stats - ISSN 2571-905X
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