geometric mean


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ge·o·met·ric mean

the mean calculated as the antilogarithm of the arithmetic mean of the logarithms of the individual values; it can also be calculated as the nth root of the product of n values.

ge·o·met·ric mean

(jē'ŏ-met'rik mēn)
The mean calculated as the antilogarithm of the arithmetic mean of the logarithms of the individual values; it can also be calculated as the nth root of the product of n values.

geometric mean

The average value of a set of n integers quantities, expressed as the nth root of their product. The geometric mean is used to determine the average of a skewed frequency distribution.
References in periodicals archive ?
In this section, we discuss the effect of the naive imputation method on the geometric mean in the presence of a detection limit.
Since CRS biennial technology including both t and t +1 periods is used, there is no need to use any kind of geometric mean while defining.
A variant formulation for the scalar case of geometric mean could be expressed by
Given the existing data showing that our LOS for Medicare patients was, on average, two days above the geometric mean, we initially set our eligibility criteria for participation in ER call to be < 2.0 days above the geometric mean.
(5) Table 2 shows geometric mean titer antibody responses in ACTG participants, ATN participants, and the HIV-negative comparison group.
The next section shows that small percentage changes in price lead to negligible differences in elasticity estimates between the isoelastic approach and the geometric mean method.
In order to perform calculations on these matrices, such as averaging and interpolation, we need algorithms that preserve the structure of the data, such as positive definiteness, which is one of the useful properties of the geometric mean. Another property of this mean provides advantages in the area of elasticity calculations of structures [30].
Following incubation, distinct non-overlapping bacterial colonies on each plate were counted and geometric mean bacterial densities for each site and sampling date were estimated as colony forming units per milliliter.
As anticipated, the cost data were skewed and were normalised by logarithmic transformation (requiring the use of geometric means in the descriptive analysis).
Our results revealed that the geometric mean mass of vertebrate prey (267.8 g) at Oasis La Campana was somewhat higher than reported by Jaksic and Braker (1983; 202.4 [+ or -] 1.5 g) and Jimenez and Jaksic (1993; 257.1 [+ or -] 4.0 g) for pre-Andean areas of central Chile, and markedly higher than reported by Figueroa and Gonzalez-Acuna (2006; 85.4 [+ or -] 5.1 g) for southern Chile.
Several methods of averaging axial forces or pressures have been reported, including arithmetic, integral and geometric mean. These are found in equations 8-10.

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