Ratios: A short guide to confidence limits and proper use
By Volker H. Franz. 2007
66 citations recorded by the source corpus.
Researchers often calculate ratios of measured quantities. Specifying confidence limits for ratios is difficult and the appropriate methods are often unknown. Appropriate methods are described (Fieller, Taylor, special bootstrap methods). For the Fieller method a simple geometrical interpretation is given. Monte Carlo simulations show when these methods are appropriate and that the most frequently used methods (index method and zero-variance method) can lead to large liberal deviations from the desired confidence level. It is discussed when we can use standard regression or measurement error models and when we have to resort to specific models for heteroscedastic data. Finally, an old warning is repeated that we should be aware of the problems of spurious correlations if we use ratios.
Subfields: Applied Mathematics, Statistics and Probability, Surgery
View Paper: https://www.semanticscholar.org/paper/a81830e6e32a0a04cfe590fc1d5041a2165491cd
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In Applied Mathematics
In Statistics and Probability
In Surgery
Citations in the corpus
- A new baseline model for estimating willingness to pay from discrete choice models (2013, background): “Franz (2007) provides a useful discussion of the importance of the Gleser and Hwang (1987) theorem to a set of long standing issues with ratio estimators. shows that the Gleser and Hwang theorem holds when near some value (e.g., 0 C = ) the function of interest is locally almost unidentified .”