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Topic: Weighted geometric mean

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	Mean Encyclopedia Article @ Despairing.net (Site not responding. Last check: 2007-10-26)
		geometric mean is an average that is useful for sets of numbers that are interpreted according to their product and not their sum (as is the case with the arithmetic mean).
		Hölder mean, is an abstraction of the quadratic, arithmetic, geometric and harmonic means.
		If a mean M is defined for tuples of several sizes, then one also expects that the mean of a tuple is bounded by the means of partitions.
	www.despairing.net /encyclopedia/Mean (1319 words)

	PlanetMath: arithmetic mean
		In the special case where all the weights are equal to each other, the weighted mean equals the arithmetic mean.
		See Also: geometric mean, harmonic mean, arithmetic-geometric-harmonic means inequality, general means inequality, weighted power mean, power mean, geometric distribution, root-mean-square, proof of general means inequality, proof of arithmetic-geometric-harmonic means inequality, derivation of geometric mean as the limit of the power mean, mean, a prime theorem of a convergent sequence
		This is version 8 of arithmetic mean, born on 2001-10-20, modified 2006-11-11.
	planetmath.org /encyclopedia/Mean.html (181 words)

	SPECviewperf® 7.1 -- Weighted Geometric Mean
		Above is the formula for determining a weighted geometric mean, where "n" is the number of individual tests in a viewset, and "w" is the weight of each individual test, expressed as a number between 0.0 and 1.0.
		Since the weights for the viewsets were selected on percentage of time, not percentage of operations, we chose the weighted geometric mean over the weighted harmonic mean.
		The weighted arithmetic mean is correct for calculating grades at the end of a school term.
	www.spec.org /gpc/opc.static/geometric.html (757 words)

	Weighted mean - Wikipedia, the free encyclopedia
		While weighted means generally behave in a similar fashion to arithmetic means, they do have a few counter-intuitive properties, as captured for instance in Simpson's paradox.
		Examples of such weighted means include the weighted geometric mean and the weighted harmonic mean.
		The significance of this choice is that this weighted mean is the maximum likelihood estimator of the mean of the probability distributions under the assumption that they are independent and normally distributed with the same mean.
	en.wikipedia.org /wiki/Weighted_mean (543 words)

	Geometric mean - Wikipedia, the free encyclopedia
		The geometric mean of a set of positive data is defined as the nth root of the product of all the members of the set, where n is the number of members.
		Therefore the geometric mean is related to the log-normal distribution.
		It is not the arithmetic mean, because what these numbers signify is that on the first year your investment was multiplied (not added to) by 1.10, on the second year it was multiplied by 1.50, and the third year it was multiplied by 1.30.
	en.wikipedia.org /wiki/Geometric_mean (626 words)

	How to Calculate Geometric Means
		A geometric mean, unlike an arithmetic mean, tends to dampen the effect of very high or low values, which might bias the mean if a straight average (arithmetic mean) were calculated.
		Geometric mean is often used to evaluate data covering several orders of magnitude, and sometimes for evaluating ratios, percentages, or other data sets bounded by zero.
		For example, to calculate the geometric mean of the values +12%, -8%, and +2%, instead calculate the geometric mean of their decimal multiplier equivalents of 1.12, 0.92, and 1.02, to compute a geometric mean of 1.0167.
	www.buzzardsbay.org /geomean.htm (2931 words)

	Mean-Variance Optimization and Modern Portfolio Theory
		The material on multi-period MVO is largely based on the research manuscript Diversification, Rebalancing, and the Geometric Mean Frontier by William J. Bernstein and David Wilkinson [2].
		Lastly, and most important, the weighted geometric mean does not represent any meaningful property of the rebalanced (or unrebalanced) portfolio with the given composition, while the weighted arithmetic mean does at least correctly represent the arithmetic mean return of the rebalanced portfolio.
		Under this hypothesis, the interpretation of the geometric mean which is assigned to each rebalanced portfolio is that it is both the most probable return and the median return which would be obtained over a large number of periods.
	www.effisols.com /basics/MVO.htm (3161 words)

	3
		This index was calculated as a weighted geometric mean of price relatives, the weights being proportional to the values of marketable surplus of the various commodities during 1938-39.
		The weighted arithmetic average was adopted in preference to the weighted geometric mean used for the earlier series.
		In the 1970-71 series, weights were assigned on the basis of the entire wholesale transactions in the economy and, for this purpose, the values of transactions of the non-selected commodities (which did not find place in the index) were assigned to those selected commodities whose nature and price trends were similar.
	eaindustry.nic.in /report/fin3.htm (2184 words)

	Mean : search word
		The geometric mean is an average which is useful for sets of numbers which are interpreted according to their product and not their sum (as is the case with the arithmetic mean).
		The generalized mean is an abstraction of the Arithmetic, Geometric and Harmonic Means.
		The illuminations were numerous orchestras concealed amid the trees added yet more to the surmounted with a vase of flowers, and offered to their Majesties waltzes on a charming lawn, and crowned with flowers the bust of her dances, Finally, a theater had been erected in the midst of the trees, on.
	www.searchword.org /me/mean.html (1130 words)

	Geometric mean (via CobWeb/3.1 planetlab1.cs.wisc.edu) (Site not responding. Last check: 2007-10-26)
		The geometric mean of a set of positive data is defined as the product of all the members of the set, raised to a power equal to the reciprocal of the number of members.
		The geometric mean of a data set is always smaller than or equal to the set's arithmetic mean (the two means are equal if and only if all members of the data set are equal).
		I.e., it is the generalised f-mean with f(x) = ln x Therefore the geometric mean is related to the log-normal distribution.
	geometric-mean.iqnaut.net.cob-web.org:8888 (355 words)

	What Does He Mean?
		The geometric mean is typically first encountered in a proportion when the means are equal, as in 8/w=w/4.
		The difference between arithmetic and geometric means is similar to the difference between arithmetic and geometric sequences.
		Frequency mean is the same as obtaining the arithmetic mean from a frequency table.
	www.andrews.edu /~calkins/math/webtexts/stat04.htm (1178 words)

	PlanetMath: generalized mean
		Cross-references: weighted power mean, power mean, root-mean-square, harmonic mean, geometric mean, weighted mean, arithmetic mean, weight, decreasing function, strictly increasing, continuous, real numbers
		This is version 5 of generalized mean, born on 2004-08-06, modified 2006-10-24.
		g(x), the respective generalized means satisfy some given inequality.
	planetmath.org /encyclopedia/GeneralizedMean.html (91 words)

	Social Security Boskin Commission Report
		Keeping these weights fixed through time, the CPI is then calculated by attempting to measure changes from one month to the next in prices of the same, or quite closely related, goods and services.
		A fixed weight index increases by 60% between periods 1 and 2, but decreases by only 37.5% between periods 1 and 3, so that the increase in the "beef" index between periods 1 and 3 is 22.5% or 11.25% per period, rather than zero, as required for time reversal.
		Provided that this correlation is small, a modification of the geometric mean is approximately unbiased for the underlying cost of living index, and this characterization does not require information about the underlying system of consumer's preferences.
	www.ssa.gov /history/reports/boskinrpt.html (16481 words)

	The Harmonic Mean
		Such a harmonic mean formula is a way of ensuring that in order to pass the course, students must have performed reasonably well in both aspects of the course.
		Notice that the arithmetic mean is in all cases 50.
		For example, a lecturer might weight exam, mid-session quiz, and assignments as 50%, 20% and 30%, and then combine those marks using a harmonic mean formula.
	www.cse.unsw.edu.au /~teachadmin/info/harmonic3.html (426 words)

	EPA: Federal Register: Ocean Dumping Regulations Ocean Dumping Site Correction
		The weighted geometric mean BAF for trophic level 3 was 55,281,000 and 116,553,000 for trophic level 4.
		In the final Guidance, a weighted geometric mean Kow of 3,885,000 (mean log Kow of 6.589) was estimated by weighting the log Kows for the individual PCB congeners by the concentrations of the PCB congeners in fish.
		This approach is equivalent to using a weighted arithmetic mean of all the BAFs from the PCB congeners, where the weights are the concentrations of the PCB congeners in water.
	www.epa.gov /EPA-WATER/1996/October/Day-22/pr-21043.html (5132 words)

	Weighted geometric mean - Wikipedia, the free encyclopedia
		Note that if all the weights are equal, the weighted geometric mean is the same as the geometric mean.
		Probably the best known weighted mean is the weighted arithmetic mean, usually simply called the weighted mean.
		Another example of a weighted mean is the weighted harmonic mean.
	en.wikipedia.org /wiki/Weighted_geometric_mean (109 words)

	BLS Handbook of Methods, Ch. 17: The Consumer Price Index
		This is a ratio of a weighted arithmetic mean of prices in the current period to the same average of the same items’ prices in the previous period, with estimated quantities of the items purchased in its sampling period serving as weights.
		For example, effective with the release of January 2004 data, the geometric mean formula replaced the Laspeyres arithmetic mean formula in the calculation of the basic indexes both for cable and satellite television and radio services and for eyeglasses and eye care.
		The remaining weight for the other two parts of insurance is for the overhead of the insurers; this is all that remains in the unpublished CPI health insurance index.
	www.bls.gov /opub/hom/homch17_h.htm (10252 words)

	ENEE646-Assignment 3 (Site not responding. Last check: 2007-10-26)
		The weights of problems are indicated next to each problem.
		Extend the definition of geometric mean of throughput ratios so that the throughput ratios can be weighted.
		Prove that if this weighted geometric mean of throughput ratios is used to compare two systems, it will consistently show that one system is better than the other.
	www.glue.umd.edu /~yavuz/enee646/homeworks-646/enee646-assignment3.htm (377 words)

	What the Weighted Geometric Mean Means for Viewperf
		At its February 1995 meeting in Salt Lake City, a subcommittee within the OPC project group was given the task of recommending a method for deriving a single composite metric for each viewset running under the Viewperf benchmark.
		In May 1995, the OPC project group decided to adopt a weighted geometric mean as the single composite metric for each viewset.
		Since our weights were percentage of time and since the results from Viewperf are expressed in frames/sec, we were not obligated to normalize.
	spec.unipv.it /gpc/June99/opc.static/geometric_mean.html (854 words)

	Michael Thomas Flanagan's Java Library: Class Stat
		Returns the sample weighted variance of the n variables in the array of double or float, x, with weights, w, that should be estimates of the standard deviations of the data values, x.
		Returns the sample weighted standard deviation of the variables in the array of double or float, x, with an array of weights, w, that should be estimates of the standard deviation of each measurement, x.
		The argument, mean, is the mean of the Poisson distribution.
	www.ee.ucl.ac.uk /~mflanaga/java/Stat.html#weibull (3805 words)

	Sample Statistical Routines (Site not responding. Last check: 2007-10-26)
		weight == 0.) return MISSG; return sum / weight; } /** * Computes weighted average value of a given sequence * (with prescribed skip directive).
		weight == 0.) return MISSG; return sum / weight; } /** * Computes the geometric average value of a given sequence.
		* Missing values are ignored * @param data data array * @param weights weights * @return weighted standard deviation of the data / public static double stdevp (double [] data, double [] weights) { return Calculator.sqrt (varp (data, weights));* } /** * Computes weighted varp of a given sequence * (with prescribed skip directive).
	www-306.ibm.com /software/data/db2/db2olap/docs/v82docs/techref/maxl/ddl/cdf/examples/statisti.htm (1121 words)

	SimilarMinds.com > beta Mean theory
		A standard mean formula is applied to your results of type specific questions which are weighted based on the Haxis and Vaxis geometric positions of each type point on the enneacircle.
		To give an analogy if you vote half the time as an extreme democrat and half the time as an extreme republican, your mean would suggest that overall you are a moderate (even if you have never voted for a moderate candidate).
		I find it inferior to mean type in this respect, but mean typing is new and all Enneagram authors still use the variant system.
	sminds.com /mean.html (440 words)

	Weighted Geometric Mean (via CobWeb/3.1 planetlab1.cs.wisc.edu) (Site not responding. Last check: 2007-10-26)
		Weighted geometric mean,abstract art,geometric mean,art,calculate geometric mean,artist,definition of geometric mean,computer graphics,arithmetic...
		Weighted geometric mean,loss program weight,recipe watcher weight,baby meaning name,shapes,point watcher weight,weight loss diet,geometric mean...
		Inequalities for the Hadamard weighted geometric mean of positive kernel operators...
	weightedgeometricmean.info.cob-web.org:8888 (309 words)

	: Class Statistics (Site not responding. Last check: 2007-10-26)
		Computes weighted correlation between two sequences If a missing value is encountered in either of the sequences, the corresponding position is skipped in both of them.
		Computes weighted covariance between two sequences If a missing value is encountered in either of the sequences, the corresponding position is skipped in both of them.
		Computes weighted geometric average of a given sequence.
	www-306.ibm.com /software/data/db2/db2olap/v81docs/techref/maxl/cdf/examples/com/hyperion/essbase/calculat/statisti.htm (802 words)

	Did Nvidia do what it promised?
		If you think writing is easy, you try and figure out something interesting to say about three cards with exactly the same name, and two others that have a different sticker on them but are otherwise the same.
		What this means is that the current crop of 7800GTXs are all most likely based on the NVidia reference design.
		This means that you can't really go wrong with any of them.
	theinquirer.net /default.aspx?article=24146 (583 words)

	geometric mean - OneLook Dictionary Search
		Geometric mean : A Glossary of Mathematical Terms [home, info]
		Geometric Mean : Eric Weisstein's World of Mathematics [home, info]
		Phrases that include geometric mean: arithmetic geometric mean, arithmetic geometric mean inequality, geometric mean index, mass geometric mean aerodynamic diameter, weighted geometric mean
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=geometric+mean (234 words)

	Looking for Mean? (Site not responding. Last check: 2007-10-26)
		This guide is based on recommendations of the fifth edition of the Publication Manual of the American Psychological Assocation published by the American Psychological Association (2001).
		This online publication is by no means a substitute for that book, which is an extensive resource for students engaged in serious research in psychology and the social and behavioral sciences.
		If online guides like this one — and other summaries of APA style in composition textbooks, etc. — do not suffice, students should purchase the APA Publication Manual for their own use (approximately $27 for the recommended spiral-bound edition) or borrow it from a library.
	www.sdc-gov.ch /dictionary/mean.html (162 words)

	Weighted Geometric Mean Inequalities Over Cones in $R^N$ (Site not responding. Last check: 2007-10-26)
		Weighted Geometric Mean Inequalities Over Cones in $R^N$ olume 4,
		A New Upper Bound of the Logarithmic Mean
		All correspondence should be directed to the editorial office.
	www.maths.tcd.ie /EMIS/journals/JIPAM/v4n4/118_02.html (304 words)

	AnandTech: AMD Athlon 1GHz, 950MHz, 900MHz (Site not responding. Last check: 2007-10-26)
		All results are reported in frames per second, so the higher the value, the better the performance is. The last result given for each of the viewsets is the WGM or Weighted Geometric Mean.
		This value is, as the name implies, the Weighted Geometric Mean of all of the test scores.
		If you'd like to know more about why a Weighted Geometric Mean is used, SPEC has an excellent article detailing just why, here.
	www.anandtech.com /showdoc.html?i=1189&p=12 (582 words)

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