# Averaging ratios: characteristics of the error of approximation

Brown, Simon
(2011)
*Averaging ratios: characteristics of the error of approximation.*
World Applied Programming, 1 (5). pp. 288-293.

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## Abstract

Ratios are often calculated from experimental and other measurements, but there is some variation in how this is achieved: a ratio of averages (q) or an average of ratios (r) can be calculated depending on the data available. While q is often used as an estimate of r, their expected values are not equal, and their distributions differ from one another and, in some instances, from that of the data from which they are calculated. I give a general expression for the difference between r and q.

Item ID: | 53020 |
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Item Type: | Article (Research - C1) |

ISSN: | 2222-2510 |

Keywords: | approximation; distribution; ratio; statistics |

Date Deposited: | 03 Apr 2018 01:53 |

FoR Codes: | 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010201 Approximation Theory and Asymptotic Methods @ 50% 01 MATHEMATICAL SCIENCES > 0104 Statistics > 010401 Applied Statistics @ 50% |

SEO Codes: | 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100% |

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