The relationship between mean channel selection and the calculated coefficient of variation

Abstract Filter fluorometers have been adapted to measure the fluorescence intensity of aflatoxin adsorbed on a Florisil layer in minicolumns. The relationship between concentration and intensity is near linear in the aflatoxin range from 10 to 100 ng. Although individual aflatoxin fractions cannot be resolved, since the measure is one of total intensity, fluorometric measurements advance the minicolumn screening procedure to a semiquantitative level. The detection of 1 ng aflatoxin B1 is well within the limits of a filter fluorometer with a photomultiplier detector. A precision, expressed as percent coefficient of variation, ranging from 1.2 to 4.2%, was obtained for standard B1 columns.

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Dynamic Reliability of a Cluster Server

International Journal of Statistics and Probability ◽

10.5539/ijsp.v5n4p45 ◽

2016 ◽

Vol 5 (4) ◽

pp. 45

Author(s):

Andrzej Korzeniowski ◽

Rachel Traylor

Keyword(s):

Poisson Process ◽

Survival Function ◽

Channel Selection ◽

Single Server ◽

Numerical Comparison ◽

Constant Multiple ◽

Dynamic Reliability ◽

K Channels ◽

Correlated Channels ◽

The Relationship

Suppose a single server has $K$ channels, each of which performs a different task. Customers arrive to the server via a nonhomogenous Poisson process with intensity $\lambda(t)$ and select $0$ to $K$ tasks for the server to perform. Each channel services the tasks in its queue independently, and the customer's job is complete when the last task selected is complete. The stress to the server is a constant multiple $\eta$ of the number of tasks selected by each customer, and thus the stress added to the server by each customer is random. Under this model, we provide the survival function for such a server in both the case of independently selected channels and correlated channels. A numerical comparison of expected lifetimes for various arrival rates is given, and the relationship between the dependency of channel selection and expected server lifetime is presented.

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Monitoring Training Volume Through Maximal Number of Repetitions or Velocity-Based Approach

International Journal of Sports Physiology and Performance ◽

10.1123/ijspp.2020-0214 ◽

2020 ◽

pp. 1-8

Author(s):

Miguel Sánchez-Moreno ◽

Gonçalo Rendeiro-Pinho ◽

Pedro V. Mil-Homens ◽

Fernando Pareja-Blanco

Keyword(s):

Coefficient Of Variation ◽

Bench Press ◽

Interindividual Variability ◽

Load Condition ◽

Velocity Relationship ◽

The Mean ◽

Monitoring Training ◽

The Individual ◽

The Relationship ◽

Level Of Effort

Purpose: This study aimed (1) to analyze the interindividual variability in the maximal number of repetitions (MNR) performed against a given relative load (percentage of 1-repetition maximum [%1RM]) and (2) to examine the relationship between the velocity loss (VL) magnitude and the percentage of completed repetitions with regard to the MNR (%Rep), when the %1RM is based on individual load–velocity relationships. Methods: Following an assessment of 1RM strength and individual load–velocity relationships, 14 resistance-trained men completed 5 MNR tests against loads of 50%, 60%, 70%, 80%, and 90% 1RM in the Smith machine bench-press exercise. The relative loads were determined from the individual load–velocity relationship. Results: Individual relationships between load and velocity displayed coefficients of determination (R2) ranging from .986 to .998. The MNR showed an interindividual coefficient of variation ranging from 8.6% to 33.1%, increasing as the %1RM increased. The relationship between %Rep and the magnitude of VL showed a general R2 of .92 to .94 between 50% and 80% 1RM, which decreased to .80 for 90% 1RM. The mean individual R2 values were between .97 and .99 for all loading conditions. The %Rep when a given percentage of VL was reached showed interindividual coefficient of variation values ranging from 5% to 20%, decreasing as the %Rep increased in each load condition. Conclusions: Setting a number of repetitions had acceptable interindividual variability, with moderate relative loads being adjusted based on the individual load–velocity relationship. However, to provide a more homogeneous level of effort between athletes, the VL approach should be considered, mainly when using individual VL–%Rep relationships.

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An increase in habitat complexity reduces aggression and monopolization of food by zebra fish (Danio rerio)

Canadian Journal of Zoology ◽

10.1139/z97-232 ◽

1998 ◽

Vol 76 (4) ◽

pp. 770-772 ◽

Cited By ~ 37

Author(s):

Seán P Basquill ◽

James WA Grant

Keyword(s):

Danio Rerio ◽

Coefficient Of Variation ◽

Habitat Complexity ◽

Structural Complexity ◽

Zebra Fish ◽

Resource Monopolization ◽

Dominant Fish ◽

The Relationship ◽

Complex Habitat

We tested the predictions that an increase in the structural complexity of a habitat causes both a decrease in aggression and the monopolization of resources. Groups of three zebra fish (Danio rerio) were allowed to compete for food in a complex habitat with simulated vegetation and in a simple habitat with no vegetation. As predicted, both the levels of aggression by the dominant fish (P = 0.050) and the coefficient of variation of the amount of food eaten within a group (P = 0.020), a measure of food monopolization, were lower in the complex habitat than in the simple one. Fish that chased competitors more frequently ate more food in both habitats, but the relationship was stronger in the simple than in the complex habitat. Our results suggest that aggression is less useful as a mode of competition in habitats with greater structural complexity. Manipulating the structural complexity of the habitat may be a practical way of controlling the intensity of aggression and resource monopolization in groups of animals.

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The allometric relationship between carcass muscle and carcass bone in Scottish Blackface sheep

Animal Science ◽

10.1017/s0003356100042100 ◽

1967 ◽

Vol 9 (4) ◽

pp. 531-533 ◽

Cited By ~ 4

Author(s):

T. H. Jackson

Keyword(s):

Coefficient Of Variation ◽

Allometric Relationship ◽

Natural Development ◽

Relationship Of ◽

The Relationship

Thirty-seven Blackface wether sheep, ranging from birth to eighteen months of age, were used to derive the allometric relationship between carcass muscle and carcass bone.The equationlog10 muscle (g) = 1·36 log10 bone (g)—0·804fitted the data well. (r = 0·995, b = 1·36±0·05, Sy.x = 0·0595.)The deviations from this equation had a coefficient of variation of 14% indicating that other factors may influence the relationship of muscle to bone.It is suggested that the variablelog10M—1·36 log10 5 + 0·804is independent of differences due to different stages of natural development and can be used to examine the effects of different treatments on the muscle: bone ratio. The constant applies to sheep only.

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Variation in actual relationship among descendants of inbred individuals

Genetics Research ◽

10.1017/s0016672312000468 ◽

2012 ◽

Vol 94 (5) ◽

pp. 267-274 ◽

Cited By ~ 11

Author(s):

W. G. HILL ◽

B. S. WEIR

Keyword(s):

Coefficient Of Variation ◽

Chromosome Length ◽

Total Chromosome Length ◽

Inbreeding Level ◽

The Relationship ◽

Actual Relationship

SummaryIn previous analyses, the variation in actual, or realized, relationship has been derived as a function of map length of chromosomes and type of relationship, the variation being greater the shorter the total chromosome length and the coefficient of variation being greater the more distant the relationship. Here, the results are extended to allow for the relatives’ ancestor being inbred. Inbreeding of a parent reduces variation in actual relationship among its offspring, by an amount that depends on the inbreeding level and the type of mating that led to that level. For descendants of full-sibs, the variation is reduced in later generations, but for descendants of half-sibs, it is increased.

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Theoretical Analysis of Granularity of Grinding Particles on Mixing

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.37-38.1585 ◽

2010 ◽

Vol 37-38 ◽

pp. 1585-1590 ◽

Cited By ~ 1

Author(s):

Yuan Chao Deng

Keyword(s):

Theoretical Analysis ◽

Normal Distribution ◽

Coefficient Of Variation ◽

Particle Sizes ◽

Probability And Statistics ◽

The Relationship

Uniformity on mixing several types of granules is closely related to particle sizes, especially when microcomponents are involved. In this article, we report our theoretical analysis on the relationship between the uniformity and granule sizes using the principles of probability and statistics. New computational formulas that relate the coefficient of variation and granule sizes have been deduced. Classical formulas usually require the sizes of all granules to be the same. This restriction has been removed in the new formulas, which can be applied to any granule sizes. Using these formulas we have performed calculations on the normal distribution and logarithmic normal distribution using common granule sizes.

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Ceramic Standardization and Intensity of Production: Quantifying Degrees of Specialization

American Antiquity ◽

10.2307/3557072 ◽

2003 ◽

Vol 68 (4) ◽

pp. 768-782 ◽

Cited By ~ 65

Author(s):

Valentine Roux

Keyword(s):

Coefficient Of Variation ◽

Cumulative Effect ◽

Ceramic Production ◽

High Rate ◽

Single Type ◽

Size Classes ◽

Ceramic Vessels ◽

Different Cultures ◽

The Relationship ◽

Low Rate

The aim of this study is to examine the relationship between metric variability of ceramic vessels of a single type and intensity of production. This relationship is examined on the basis of vessels made by Indian and Spanish potters whose rates of production vary from low to high. Results are compared with Filipino data to embrace different cultures and therefore possibly different emic conceptions of standardization. We conclude that rate of production affects the degree of standardization. However, only in a high-rate production situation do we have motor habits that transcend emic conceptions of standardization. Indeed, factors like size classes, emic conception of size classes, and skill may induce a certain variability despite similar rates of production. Indexing degrees of standardization needs, in other respects, to take into account the cumulative effect of production events that play on the CV (Coefficient of Variation) values. Applied to Mesopotamian data, our results suggest that third millennium ceramic production can be compared to low-rate production observed ethnographically.

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Study of the influence of cotton fiber indicators on yarn quality

E3S Web of Conferences ◽

10.1051/e3sconf/202130403036 ◽

2021 ◽

Vol 304 ◽

pp. 03036

Author(s):

Umida Yusupalieva ◽

Saypila Matismailov ◽

Alisher Yuldashev

Keyword(s):

Tensile Strength ◽

Coefficient Of Variation ◽

Cotton Fiber ◽

Fiber Length ◽

Optimal Parameter ◽

Regression Equation ◽

Mathematical Planning ◽

Fiber Properties ◽

Yarn Quality ◽

The Relationship

In order to determine the relationship between the fiber properties of the yarn quality in the article, experiments were conducted using a passive method of mathematical planning and a regression equation was obtained for each optimal parameter. Based on the experiments, it was found that a decrease in fiber micronaire, an increase in tensile strength, fiber length and uniformity, leads to an increase in the specific tensile strength of yarn, a decrease in the coefficient of variation in tensile strength and the number of breaks in the yarn.

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Pharmacokinetic and pharmacodynamic analysis of fluorouracil during 72-hour continuous infusion with and without dipyridamole.

Journal of Clinical Oncology ◽

10.1200/jco.1991.9.11.2027 ◽

1991 ◽

Vol 9 (11) ◽

pp. 2027-2035 ◽

Cited By ~ 61

Author(s):

D L Trump ◽

M J Egorin ◽

A Forrest ◽

J K Willson ◽

S Remick ◽

...

Keyword(s):

Steady State ◽

Coefficient Of Variation ◽

Phase I Trial ◽

Hill Equation ◽

Percentage Reduction ◽

Percentage Frequency ◽

Significant Relationships ◽

Pharmacodynamic Analysis ◽

Steady State Plasma Concentration ◽

The Relationship

During a phase I trial of 3-day simultaneous continuous intravenous infusions of varying doses of fluorouracil (5FUra) and 7.7 mg/kg/d of dipyridamole, we examined the relationships between 5FUra dose and steady-state plasma concentration (Css) and the percentage reduction in WBCs, as well as the percentage frequency of stomatitis. The 5FUra was administered at doses ranging from 185 mg/m2/d times three to 3,600 mg/m2/d times three. In 42 patients, 86 cycles of 5FUra plus dipyridamole and 28 cycles of 5FUra alone were analyzed. The Css of 5FUra varied even within the same dose level. When patients receiving the same 5FUra dose were considered, the interpatient coefficient of variation of 5FUra Css in cycles of 5FUra plus dipyridamole was 23% +/- 4.2%. For courses of 5FUra alone, the coefficient of variation of 5FUra was 15.6% +/- 6.5%. When the occurrence of any degree of stomatitis was related to the Css 5FUra, with patients grouped in cohorts of 2-mumol/L increments, the following equations accurately described the frequency of stomatitis: for 5FUra plus dipyridamole, percentage frequency of stomatitis = 100(1-e-0.114Css), r2 = 0.88; for 5FUra alone, percentage frequency stomatitis = 100(1-e0.122Css), r2 = 0.80. When 5FUra dose was substituted for Css, these relationships were as follows: percentage frequency of stomatitis = 100(1-e-0.00031 [dose]), r2 = 0.85; and percentage frequency of stomatitis = 100(1-e-0.00051 [dose]), r2 = 0.80. When the relationship between the percentage reduction in WBC and Css 5FUra was examined, statistically significant relationships were also apparent: for 5FUra plus dipyridamole, percentage reduction in WBC = 100(1-e-0.085Css), r2 = 0.46; for 5FUra alone, percentage reduction in WBC = 100(1-e-0.060Css), r2 = 0.61. When 5FUra dose was substituted for Css, these relatinships were as follows: percentage reduction in WBC = 100(1-e-0.00023 [dose]), r2 = 0.40; percentage reduction in WBC = 100(1-e-0.00024 [dose]), r2 = 0.65. The relationship between either Css 5FUra or dose 5FUra and either stomatitis or myelosuppression were also well described by the modified Hill equation (J Theor Biol 20:171-201, 1968). These analyses indicate that it should be possible to develop therapeutic regimens wherein 5FUra is administered to achieve a targeted Css determined by the risk and severity of toxicity deemed acceptable.

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