geometric mean

The nth root, usually the positive nth root, of a product of n factors.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

geometric mean

(Mathematics) the average value of a set of n integers, terms, or quantities, expressed as the nth root of their product. Compare arithmetic mean

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

ge′omet′ric mean′

the mean of n positive numbers obtained by taking the nth root of the product of the numbers: The geometric mean of 6 and 24 is 12.

ThesaurusAntonymsRelated WordsSynonymsLegend:

Noun

geometric mean - the mean of n numbers expressed as the n-th root of their product

statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters

mean, mean value - an average of n numbers computed by adding some function of the numbers and dividing by some function of n

Translations

geometrický průměr

geometrisches Mittel

moyenne géométrique

geometrijska sredina

średnia geometryczna

geometric mean

n → media geometrica

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

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References in periodicals archive

The maximum Geometric mean titer in CPCT was found to be 436.0 on 28th day and CPBT indicated 226.67 while -ve control indicated baseline antibody titer on 28th day post vaccination.

Development and Evaluation of Clostridium perfringens Type D Toxoid Vaccines

We performed linear regression analyses in which the dependent variable was antimicrobial susceptibility (geometric mean MIC) at each GISP site and the independent variable of interest was the prior year prescription rate (i.e., the prescribing rate during the year before the year corresponding to the antimicrobial drug susceptibility results) at each county and year.

Antimicrobial Drug Prescription and Neisseria gonorrhoeae Susceptibility, United States, 2005-2013

O-AIV vaccine induced 39.4, 128 and 128 units of geometric mean anti-AIV-HI antibody titers in the vaccinated broilers on 21, 28 and 35 DPV, respectively.

ANTIBODY RESPONSE OF BROILERS TO OIL BASED COMBINED AVIAN INFLUENZA (H9 N2) AND MYCOPLASMA GALLISEPTICUM VACCINE

mean: geometric mean; one part per billion (ppb) is the limit of detection Table 4: Prevalence and levels of aflatoxin B1 in feeds from feed retailers in the study sites County Number of Prevalence Range (ppb) A.

Prevalence of Aflatoxin in feeds and cow milk from five counties in Kenya

Combining results across all beaches, the geometric mean concentrations were 2.29 CFU/g (subtidal zone), 2.95 CFU/g (intertidal zone), and 4.15 CFU/g (supratidal zone).

Assessment of Enterococcus levels in recreational beach sand along the Rhode Island Coast

[[??].sub.exp] turns out to the ordinary weighted geometric mean. Also, one easily can see that [[??].sub.p] is reduced to ordinary weighted arithmetic mean and weighted harmonic mean for p = 1 and p = -1, respectively.

A Generalization on Weighted Means and Convex Functions with respect to the Non-Newtonian Calculus

It is not possible to gauge the variability of the outcome below the detection limit, but this information is needed to conduct standard statistical inference on the data in the whole range (for example, to estimate the geometric mean of the population from which the sample is drawn).

The effect of simple imputation on inferences about population means when data are missing in biomedical research due to detection limits

Blood Cadmium: Geometric mean and selected percentiles of blood concentrations (in ug/L) for the US population from the MHANES.

Environmental medicine update: updates to the fourth report on human exposure to environmental chemicals

The geometric mean form of the adjacent Malmquist productivity index introduced by Caves et al.[2] is not circular, that is, calculating productivity change between t and t + s is not possible when there is a change of productivity between t and t + p and also t + p and t + s.

The union-based Malmquist productivity change index

Geometric mean titers following the challenge dose were higher in group 2 (1,745.77) than in group 1 (487.84) and among those receiving 20 meg (1,314.67) than among those receiving the 10-mcg (537.65) dosage.

Infant hep B vaccine gives long-lasting protection

This paper tries to provide a fast algorithm for finding the geometric mean of two Hermitian positive definite matrices via the application of matrix sign function.

An algorithm for computing geometric mean of two hermitian positive definite matrices via matrix sign