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Topic: Total variation


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In the News (Wed 23 Dec 09)

  
  Glossary
It is calculated by multiplying the correlation between two variables by the standard deviation for each of the variables.
The degrees of freedom is the number of values in the calculation of a statistic that are free to vary—the total number of observations in the sample minus the number of samples.
The dependent variable is a response variable (i.e., expected return) whose behavior is to be measured as a result of the manipulation of independent variables in an experiment.
www.dfaus.com /library/glossary   (1452 words)

  
  Total variation - Wikipedia, the free encyclopedia
In mathematics, the total variation of a real-valued function f on the bounded interval [a, b] is
In effect, the total variation is the vertical component of the arc-length of the graph of f.
The function f is said to be of bounded variation precisely if the total variation of f is finite.
en.wikipedia.org /wiki/Total_variation   (145 words)

  
 Status Report for 12 Oct 98
The percentage included in the Total column is the percentage of the total variation that is due to the significant factors.
The significant variables affecting the axial travel of points 7, 8, and 9 were the preform thickness and the post rolled thickness.
For the concave side of the blade, the significant variables were the shuttle constraint, the convex die radius, and the preform thickness.
www.ent.ohiou.edu /~pandr/stat1012.html   (717 words)

  
 Process Performance Analysis - ASQ 1998
Total outgoing variation results from variation inherent to the process as well as variation from lot-to-lot, tool-to-tool, line-to-line, shift-to-shift, setup-tosetup, day-to-day, and throughout maintenance cycles.
To capture total variability in a process, performance measures should be assessed from data collected over long periods of time.
Another approach to estimate the potential variation is to use averages or medians of dispersion statistics such as the range, moving range, or standard deviation.
mvpprograms.com /ppaseminar/PPA-ASQ1998.html   (2609 words)

  
 Total variation -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-20)
In (A science (or group of related sciences) dealing with the logic of quantity and shape and arrangement) mathematics, the total variation of a (An old small silver Spanish coin) real-valued function f on the bounded interval [a, b] is
The function f is said to be of (Click link for more info and facts about bounded variation) bounded variation precisely if the total variation of f is finite.
In (The branch of applied mathematics that deals with probabilities) probability theory, the total variation distance between two (Click link for more info and facts about probability measure) probability measures P and Q on a (Click link for more info and facts about sigma-algebra) sigma-algebra F is
www.absoluteastronomy.com /encyclopedia/t/to/total_variation.htm   (209 words)

  
 Archives of Pathology & Laboratory Medicine: Variation of free and total prostate-specific antigen levels: The ...   (Site not responding. Last check: 2007-10-20)
Characterizing the variability of free PSA and total PSA is necessary to evaluate the utility of an isolated free/total PSA measurement.
Results.-The average total variation was 13.9% CV, 7.5% CV, and 10.6% CV for free, total, and percent free/ total PSA, respectively.
Biological variation was derived to be 13.0% CV, 5.6% CV, and 8.0% CV for free, total, and percent free/total PSA, respectively.
www.findarticles.com /p/articles/mi_qa3725/is_199704/ai_n8774625   (1286 words)

  
 Parametric Cost Estimating Handbook - Analysis of Variance and the F Statistic   (Site not responding. Last check: 2007-10-20)
The basic idea of an analysis of variance is to express a measure of the total variation of a set of data as a sum of terms, which can be attributed to specific sources, or causes of variation.
As a measure of the total variation of an observation consisting of k samples of size n, we use the total sum of squares,
Looking closely at the two terms into which the total sum of squares SST has been partitioned, we find that the first term is a measure of the variation among the means.
www.jsc.nasa.gov /bu2/PCEHHTML/pceh214.htm   (342 words)

  
 Genetic and Environmental Influences on Thyroid Hormone Variation in Mexican Americans -- Samollow et al. 89 (7): 3276 ...
TBG variation is known to be strongly influenced by
Martin LJ, Crawford MH 1998 Genetic and environmental components of thyroxine variation in Mennonites from Kansas and Nebraska.
Genetic variation in thyroid hormone pathway genes; polymorphisms in the TSH receptor and the iodothyronine deiodinases.
jcem.endojournals.org /cgi/content/full/89/7/3276   (5152 words)

  
 The contribution of assay variation and biological variation to the total variability of plasma HIV-1 RNA measurements. ...   (Site not responding. Last check: 2007-10-20)
The contribution of assay variation and biological variation to the total variability of plasma HIV-1 RNA measurements.
OBJECTIVES: To assess the specific contributions of assay variation and biological variation to the total variation of plasma HIV-1 RNA measured by the Roche Monitor assay and the extent to which batch assays reduced both assay variability and total variability compared with real-time determinations.
Interassay and intra-assay variation were estimated from two of the clinical trials and 22 laboratories that participated in a quality assurance program and were used to estimate the effect of real-time testing on total variation.
www.aegis.com /aidsline/2000/jan/A0011181.html   (537 words)

  
 Coefficient of Determination   (Site not responding. Last check: 2007-10-20)
The total variation is made up of two parts, the part that can be explained by the regression equation and the part that can't be explained by the regression equation.
Well, the ratio of the explained variation to the total variation is a measure of how good the regression line is. If the regression line passed through every point on the scatter plot exactly, it would be able to explain all of the variation.
Recall from earlier that a variance was a variation divided by its degrees of freedom.
www.richland.edu /james/lecture/m113/coefficient_determination.html   (471 words)

  
 The overview for F-tests - oneway anova
The dependent variable is the time that elapses before someone in any of the 3 groups decides to call the university security office.
The independent variable is the stooge condition (varied number of stooges).
The SS (sum of squares) - which represents the total variability in between, within and total sources of variation.
www2.widener.edu /~aad0002/510ftests.html   (692 words)

  
 Day-to-Day, Postprandial, and Orthostatic Variation of Total Plasma Homocysteine -- Thirup and Ekelund 45 (8): 1280 -- ...
the coefficient of analytical variation, and CV is the coefficient
Short-term and long-term variability of plasma homocysteine measurement.
Variability and determinants of total homocysteine concentrations in plasma in an elderly population.
www.clinchem.org /cgi/content/full/45/8/1280   (2000 words)

  
 F657-92(1999) Standard Test Method for Measuring Warp and Total Thickness Variation on Silicon Wafers by Noncontact ...
1.1 This test method covers a noncontacting, nondestructive procedure to determine the warp and total thickness variation (TTV) of clean, dry silicon wafers in a free (unclamped) condition.
approximately) and larger in thickness, independent of thickness variation and surface finish.
The test method is applicable to wafers of semiconductors other than silicon with these same physical characteristics.
www.astm.org /DATABASE.CART/REDLINE_PAGES/F657.htm   (374 words)

  
 ipedia.com: Race Article   (Site not responding. Last check: 2007-10-20)
The individuals vary considerably but the variation is essentially random and largely meaningless so far as genetic transmission of these variations is concerned (many plant species fit into this category, which is why horticulturists interested in preserving, say, a particular flower color avoid propagation from seed but instead use vegetative methods like propagation from cuttings).
The variation between individuals is noticeable and does follow a pattern, but there are no clear dividing lines between separate groups: they fade imperceptibly into one another.
For example, the variation in blood types within specific groups is 85%, but the total variation between groups is only 15% (see the American Anthropological Association's Statement on Race [1]).
www.ipedia.com /race.html   (5659 words)

  
 On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs - ...   (Site not responding. Last check: 2007-10-20)
Abstract: Soft wavelet shrinkage, total variation (TV) diffusion, total variation regularization, and a dynamical system called SIDEs are four useful techniques for discontinuity preserving denoising of signals and images.
5 The total variation flow in R (context) - Bellettini, Caselles et al.
3 Analysis of total variation flow and its finite element appr..
citeseer.ist.psu.edu /691721.html   (1060 words)

  
 New Methods of Controlled Total Variation Reduction for Digital Functions
We consider the functional of total variation for functions of either one or two discrete variables.
We introduce a new principle for construction of evolution processes that gradually reduce the total variation of a function.
The method is derived from analysis of relaxation of the functional along the directions given by the Haar wavelets---an approach that does not require regularization of either the functional or its singular gradient.
epubs.siam.org /sam-bin/dbq/article/36203   (233 words)

  
 Elsmar Cove Forums Index - Tolerance vs Total Variation in Gage R&R report - MSA 3rd edition pg. 116
In the GRR report, TV (total variation) is calculated using the calculated GRR and PV.
The "standard" way of representing %GRR is (GRR/TV) where TV is the Total Variation (stDev) observed during the study.
GRR as %of Process Variation: This process variation (sigma) comes from your routine SPC studies on the characteristic under study.
elsmar.com /Forums/index/topic/10627-1.html   (334 words)

  
 Total variation distances and rates of convergence for ancestral coalescent processes in exchangeable population ...   (Site not responding. Last check: 2007-10-20)
Total variation distances and rates of convergence for ancestral coalescent processes in exchangeable population models, M. Möhle
Total variation distances and rates of convergence for ancestral coalescent processes in exchangeable population models
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
projecteuclid.org /Dienst/UI/1.0/Display/euclid.aap/1013540343   (280 words)

  
 Total Variation Minimization with Data Fidelity as a Contrast Invariant Filter
It is well known that morphological filters feature the property of being invariant with respect to any change of contrast.
It only depends on the difference between the gray values of a shape and its parent weighted by the perimeter of the considered shape.
Total variation minimization by the fast level sets transform.
jerome.berbiqui.org /L1-total-variation   (2341 words)

  
 On the Autoconvolution Equation and Total Variation Constraints (ResearchIndex)   (Site not responding. Last check: 2007-10-20)
On the Autoconvolution Equation and Total Variation Constraints (ResearchIndex)
On the Autoconvolution Equation and Total Variation Constraints (1997)
1, where the regularization is based on a prescribed bound for the total variation of admissible solutions.
citeseer.ist.psu.edu /81440.html   (345 words)

  
 PlanetMath: total variation
is of bounded variation if and only if it is the difference of two monotonic functions.
See Also: BV function, integral representation of length of smooth curve
(Real functions :: Functions of several variables :: Absolutely continuous functions, functions of bounded variation)
www.planetmath.org /encyclopedia/TotalVariation.html   (115 words)

  
 Applicability of biological monitoring as a function of the total variation associated with biological parameters - ...
Applicability of biological monitoring as a function of the total variation associated with biological parameters - Development of a computerized calculation tool
However, the uncertainty associated with the results of biological monitoring must be taken into consideration if decisions concerning exposure limits are to be well-founded.
This research activity is aimed at creating a computerized tool to calculate, for a given number of samples, a threshold of confidence based on total variability.
www.irsst.qc.ca /en/_projet_3018.html   (244 words)

  
 [No title]
Take the ratio of the Regression Sum of Squares to the Total Sum of Squares: We call this statistic R2 It represents the percent of the variation in Y explained by the regression ¡b )¸ ) h (O óa\Ÿ¨I. Explaining Variation: R2¡$"(*(Ÿ¨R2 is always between 0 and 1.
Say you add a number of variables into a regression model and you want to see if, as a group, they are significant in explaining variation in your dependent variable Y. The F-test tells you whether a group of variables, or even an entire model, is jointly significant.
So the complete statistic is: Remember that k is the total number of independent variables, including the ones that you are testing and the constant.
www.columbia.edu /itc/sipa/U4320y-003/overheads/Lecture13.ppt   (1517 words)

  
 Comparison of Agricultural Land Change: Agricultural Census & NRI
Since 1982, the NRI categories of cropland, CRP land, pasture land and range land have been within two percent of the Census of Agriculture's land in farms.
However, significant variations occur at the state level, with the variance being -52.7 percent.
Overall, there is a 36,000 acre total differential (aboslute value) between the two indices, more than double the total change recorded in agricultural acreage.
www.demographia.com /db-nriagc.htm   (250 words)

  
 Gage Repeatability - Estimating Total Measurement Variation
Reproducibility is the variation in the average of measurements:
Part-to-part variation also makes a contribution to the total variation in a measurement and can be determined from the measurement system data or an independent process capability study.
The contribution of the equipment variation contribution EV is calculated as 100(EV/TV).
www.asq.org /learn-about-quality/gage-repeatability/overview/tutorial.html   (218 words)

  
 Extensions to Total Variation Denoising - Blomgren, Mulet, Chan (ResearchIndex)   (Site not responding. Last check: 2007-10-20)
The Total Variation denoising method, proposed by Rudin, Osher and Fatermi, 92, is a PDE-based algorithm for edge-preserving noise removal.
The images resulting from its application are usually piecewise constant, possibly with a staircase effect at smooth transitions and may contain significantly less fine details than the original non-degraded image.
14 Analysis of total variation penalty methods for ill-posed pr..
citeseer.lcs.mit.edu /blomgren97extensions.html   (568 words)

  
 Math Forum Discussions - Re: quasi monte carlo integration:error bound(total variation, vitali's sense)
* V(f) is the variation of f in the sense of Hardy and Krause
Since the variation is defined as the supremum over all possible
The Math Forum is a research and educational enterprise of the Drexel School of Education.
www.mathforum.com /kb/thread.jspa?forumID=226&threadID=1424979&messageID=4986499   (544 words)

  
 Convergence Of An Iterative Method For Total Variation Denoising - Dobson, Vogel (ResearchIndex)   (Site not responding. Last check: 2007-10-20)
In total variation denoising, one attempts to remove noise from a signal or image by solving a nonlinear minimization problem involving a total variation criterion.
Due to the monotonicity consideration on S 0, we apply Rudin Osher Fatemi s total variation (TV) restoration model [53, 4, 6]...
16 An affine scaling algorithm for minimizing total variation i..
citeseer.ist.psu.edu /185143.html   (612 words)

  
 Glossary of research economics
This decomposition is used to structure an F test to test the hypothesis that the between-class variation is large relative to the within-class variation, which implies that the classification is meaningful, i.e., that there is a significant variation in the dependent variable between classes.
The main advantage of the dummy variable regression is that it provides estimates of he magnitudes of class variation influences on the dependent variables (as well as testing whether or not the classification is meaningful).
That is, those other variables determine the variable in question unerringly, by a function that would give the same value every time those other variables were given to it as arguments, unlike a random one which with some probability would give different answers.
econterms.com /econtent.html   (14743 words)

  
 Fast and Exact Total Variation Minimization
This webpage briefly presents some results on my work done with Marc Sigelle on total variation minimization.
Our method deals with the minimization of the total variation under a convex data fidelity term.
We have presented an algorithm which computes an exact solution for the minization of the total variation under a convex constraint.
jerome.berbiqui.org /total-variation   (876 words)

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