The laws of distribution of some parameters when organizing the movement of trains

2021 ◽  
pp. 27-39
Author(s):  
M. V. Fufacheva ◽  
Keyword(s):  
Coefficient Of Variation ◽  
Least Squares Method ◽  
Erlang Distribution ◽  
Key Factors ◽  
Distribution Law ◽  
Statistical Parameters ◽  
Railway Stations ◽  
Coefficients Of Variation ◽  
Kolmogorov Criterion ◽  
Laws Of Distribution

The article discusses the key factors for the organization of train traffic. The analysis of statistical parameters of the intervals of departure of freight trains from railway stations and the length of the freight train flow is carried out. Based on these train schedules, graphical dependences of the intervals of departure of trains from separate points on the volume of train traffic and the distribution of train lengths in even and odd directions are constructed. Polynomial dependencies with coefficients of variation are derived. The curve of the second-order Erlang distribution function for the departure intervals is constructed. It is determined that the average departure intensity in one hour is equal to three trains, and the average departure interval lies between the 25th and 35th minutes with a probability of 0.793. There is a correlation between the coefficient of variation (mean square deviation) of the departure interval and its average daily deviation. The power function of the analytical ratio of the coefficient of variation from the average interval of departure of freight trains from the technical stations of the Krasnoyarsk railway during the day is determined using the least squares method. The degrees of correspondence of theoretical and statistical distributions of the number of cars in trains are studied using the Kolmogorov criterion with the calculation of the probability value and confirmation that the distribution of the number of cars in trains obeys the binomial law. Using the Pearson agreement criterion, it is proved that the frequency of departure of freight trains from railway stations obeys the exponential distribution law.

High-Frequency Yarn Tension Variations in Spinning

1980 ◽  
Vol 102 (1) ◽  
pp. 45-50
Author(s):  
E. Dyson ◽  
G. Afshari
Keyword(s):  
Experimental Investigation ◽  
Periodic Structure ◽  
Coefficient Of Variation ◽  
Rotational Speed ◽  
High Frequency ◽  
Ring Spinning ◽  
Statistical Parameters ◽  
Yarn Tension ◽  
Rotor Spinning

A description of an experimental investigation of the variations in yarn tension during both ring and rotor open-end spinning which have frequencies equal to, or greater than, the rotational speed of the system is given. Typical results are illustrated and discussed both in terms of statistical parameters such as the coefficient of variation and in terms of their spectra. Tension variations during rotor spinning are shown to have, in general, a much less pronounced periodic structure then the corresponding variations during ring spinning.

Glycohaemoglobin: Comparison of 12 Analytical Methods, Applied to Lyophilized Haemolysates by 101 Laboratories in an External Quality Assurance Programme

1993 ◽  
Vol 30 (2) ◽  
pp. 169-174 ◽  
Author(s):  
Cas W Weykamp ◽  
Theo J Penders ◽  
Frits A J Muskiet ◽  
Willem van der Slik
Keyword(s):  
Quality Assurance ◽  
Acetic Acid ◽  
Coefficient Of Variation ◽  
External Quality Assurance ◽  
External Quality ◽  
Quality Assurance Programme ◽  
Coefficients Of Variation ◽  
Two Samples ◽  
The Mean ◽  
Edta Blood

Stable lyophilized ethylenediaminetetra-acetic acid (EDTA)-blood haemolysates were applied in an external quality assurance programme (SKZL, The Netherlands) for glycohaemoglobin assays in 101 laboratories using 12 methods. The mean intralaboratory day-to-day coefficient of variation (CV), calculated from the assay of 12 unidentified pairs over a period of 1 year, was 5·2% (range: 0·2–28·7). Forty-seven per cent of laboratories did not meet the criterion of CV < 5%, whereas 68% did not meet the clinically more desirable 3·3–3·6%. Linearity, as derived from the analysis of five combinations of two haemolysates with low and high glycohaemoglobin percentages over 6 months, was excellent (mean correlation coefficient 0·9953; range: 0·9188–0·9999). Analysis of two samples with high and low glycohaemoglobin percentages gave mean interlaboratory coefficients of variation of 10% for one method performed by several laboratories and 22% for all methods performed by all laboratories. It is concluded that the majority of laboratories do not meet the clinically desirable intralaboratory precision and that an unacceptably high interlaboratory precision exists.

scholarly journals Methodological and physiological variability within the ventilatory response to hypoxia in humans

2000 ◽  
Vol 88 (5) ◽  
pp. 1924-1932 ◽  
Author(s):  
Shu Zhang ◽  
Peter A. Robbins
Keyword(s):  
Coefficient Of Variation ◽  
Ventilatory Response ◽  
Systematic Variation ◽  
Hypoxic Ventilatory Response ◽  
Mean Values ◽  
Careful Choice ◽  
Physiological Variability ◽  
Coefficients Of Variation ◽  
Ventilatory Response To Hypoxia ◽  
Over Time

Measurement of the acute hypoxic ventilatory response (AHVR) requires careful choice of the hypoxic stimulus. If the stimulus is too brief, the response may be incomplete; if the stimulus is too long, hypoxic ventilatory depression may ensue. The purpose of this study was to compare three different techniques for assessing AHVR, using different hypoxic stimuli, and also to examine the between-day variability in AHVR. Ten subjects were studied, each on six different occasions, which were ≥1 wk apart. On each occasion, AHVR was assessed using three different protocols: 1) protocol SW, which uses square waves of hypoxia; 2) protocol IS, which uses incremental steps of hypoxia; and 3) protocol RB, which simulates an isocapnic rebreathing test. Mean values for hypoxic sensitivity were 1.02 ± 0.48, 1.15 ± 0.55, and 0.93 ± 0.60 (SD) l ⋅ min− 1 ⋅ %− 1for protocols SW, IS, and RB, respectively. These differed significantly ( P < 0.01). The coefficients of variation for measurement of AHVR were 20, 23, and 36% for the three protocols, respectively. These were not significantly different. There was a significant physiological variation in AHVR ( F 50,100 = 3.9, P < 0.001), with a coefficient of variation of 26%. We conclude that there was relatively little systematic variation between the three protocols but that AHVR varies physiologically over time.

scholarly journals Variability Associated with Testing Shelled Corn for Fumonisin

1998 ◽  
Vol 81 (6) ◽  
pp. 1162-1168 ◽  
Author(s):  
Thomas B Whitaker ◽  
Mary W Trucksess ◽  
Anders S Johansson ◽  
Francis G Geesbrecht ◽  
Winston M Hagler ◽  
...  
Keyword(s):  
Regression Analysis ◽  
Sample Preparation ◽  
Coefficient Of Variation ◽  
Variance Component ◽  
Test Procedure ◽  
Functional Relationships ◽  
Similar Test ◽  
Coefficients Of Variation ◽  
Order Of Magnitude

Abstract Variances associated with sampling, sample preparation, and analytical steps of a test procedure that measures fumonisin in shelled corn were estimated. The variance associated with each step of the test procedure increases with fumonisin concentration. Functional relationships between variance and fumonisin concentration were estimated by regression analysis. For each variance component, functional relationships were independent of fumonisin type (total, B1, B2, and B3 fumonisins). At 2 ppm, coefficients of variation associated with sampling (1.1 kg sample), sample preparation (Romer mill and 25 g subsample), and analysis are 16.6,9.1, and 9.7%, respectively. The coefficient of variation associated with the total fumonisin test procedure was 45% and is about the same order of magnitude as that for measuring aflatoxin in shelled corn with a similar test procedure.

Interlaboratory Comparison of Analyses for Heavy Metals in Clam Tissue

1986 ◽  
Vol 69 (5) ◽  
pp. 863-868
Author(s):  
Marilyn R Hendzel ◽  
Bruce W Fallis ◽  
Brigitte G E Demarch
Keyword(s):  
Heavy Metals ◽  
Coefficient Of Variation ◽  
Interlaboratory Comparison ◽  
Interlaboratory Study ◽  
Oyster Tissue ◽  
Coefficients Of Variation ◽  
Freeze Dried ◽  
Lead Levels ◽  
Clam Tissue ◽  
Cu And Zn

Abstract Results are reported for an interlaboratory study conducted to assess the reproducibility of analyses for lead, copper, cadmium, and zinc. The 10 participating laboratories analyzed 2 samples of freeze-dried clam tissue and 1 disguised sample of NBS Oyster Tissue. Interlaboratory variations were observed for all metals, although the methods yielded reproducible data for Cu and Zn with average interlaboratory coefficients of variation of 15 and 11%, respectively. The performance of methods used for Cd and, more so, for Pb was less than satisfactory. Cadmium levels in the 3 samples ranged from about 0.7 to 3.7 ppm with an average interlaboratory coefficient of variation (CV) of 24%. Lead levels in the 3 samples were about 0.5 ppm with an interlaboratory CVof 68%. Some laboratories' results were consistently high or low but data were insufficient to relate these trends to one particular variable. Results from this study were compared with 5 other studies reported in the literature since 1980. Coefficients of variation from all studies were comparable for samples with similar metal concentrations

Evaluation of Tumor Measurements in Oncology: Use of Film-Based and Electronic Techniques

2000 ◽  
Vol 18 (10) ◽  
pp. 2179-2184 ◽  
Author(s):  
Lawrence H. Schwartz ◽  
Michelle S. Ginsberg ◽  
Douglas DeCorato ◽  
Lawrence N. Rothenberg ◽  
Steven Einstein ◽  
...  
Keyword(s):  
Coefficient Of Variation ◽  
Interobserver Variability ◽  
Tumor Therapy ◽  
Measurement Techniques ◽  
Cross Product ◽  
Ct Images ◽  
Coefficients Of Variation ◽  
Significant Difference ◽  
The Cross ◽  
Tumor Measurements

PURPOSE: To evaluate the variability in bidimensional computed tomography (CT) measurements obtained of actual tumors and of tumor phantoms by use of three measurement techniques: hand-held calipers on film, electronic calipers on a workstation, and an autocontour technique on a workstation. MATERIALS AND METHODS: Three radiologists measured 45 actual tumors (in the lung, liver, and lymph nodes) on CT images, using each of the three techniques. Bidimensional measurements were recorded, and their cross-products calculated. The coefficient of variation was calculated to assess interobserver variability. CT images of 48 phantoms were measured by three radiologists with each of the techniques. In addition to the coefficient of variation, the differences between the cross-product measurements of tumor phantoms themselves and the measurements obtained with each of the techniques were calculated. RESULTS: The differences between the coefficients of variation were statistically significantly different for the autocontour technique, compared with the other techniques, both for actual tumors and for tumor phantoms. There was no statistically significant difference in the coefficient of variation between measurements obtained with hand-held calipers and electronic calipers. The cross-products for tumor phantoms were 12% less than the actual cross-product when calipers on film were used, 11% less using electronic calipers, and 1% greater using the autocontour technique. CONCLUSION: Tumor size is obtained more accurately and consistently between readers using an automated autocontour technique than between those using hand-held or electronic calipers. This finding has substantial implications for monitoring tumor therapy in an individual patient, as well as for evaluating the effectiveness of new therapies under development.

Microbiological Assay of Oxytetracycline in Feed: Manual Turbidimetric Assay and Plate Assay

1973 ◽  
Vol 56 (1) ◽  
pp. 23-30
Author(s):  
Hussein S Ragheb ◽  
Anne M Cummings ◽  
Barbara M Browning
Keyword(s):  
Coefficient Of Variation ◽  
Microbiological Assay ◽  
Plate Method ◽  
Turbidimetric Method ◽  
Plate Assay ◽  
Coefficients Of Variation ◽  
Aoac Method ◽  
Turbidimetric Assay ◽  
Turbidimetric Analysis ◽  
Feed Samples

Abstract The useful range for manual turbidimetric analysis of Oxytetracycline (OTC), using K. pneumoniae, was between 0.04 and 0.08 μg/ml in the assay tubes. Laboratory-prepared feeds containing 43.5 and 86.5 g OTC.HCl/ton gave 90–98% recovery by the turbidimetric method and 104–116% by the AOAC method, 38.211–38.213. The coefficients of variation were 9.2–13.0 and 10.2–12.8%, respectively. Feeds containing 50 and 100 g OTC.HCl and neomyein sulfate/ton gave 77% of theory when analyzed turbidimetrically and 95% of theory by the plate method. The coefficient of variation for the turbidimetric method was about 16%, indicating unsatisfactory precision. At 200 g/ton theoretical concentration of each antibiotic, both methods agreed. Commercial premixes and finished feed samples gave almost the same results by both methods. The main advantage of the turbidimetric method over the plate assay is that results can be obtained the same day of analysis.

scholarly journals Improved Small Sample Inference on the Ratio of Two Coefficients of Variation of Two Independent Lognormal Distributions

2019 ◽  
Vol 2019 ◽  
pp. 1-7 ◽  
Author(s):  
A. Wong ◽  
L. Jiang
Keyword(s):  
Medical Research ◽  
Coefficient Of Variation ◽  
Lognormal Distribution ◽  
Special Interest ◽  
Small Sample ◽  
Simulation Studies ◽  
Lognormal Distributions ◽  
Coefficients Of Variation ◽  
Ratio Approach ◽  
Modeling Data

Without the ability to use research tools and procedures that yield consistent measurements, researchers would be unable to draw conclusions, formulate theories, or make claims about generalizability of their results. In statistics, the coefficient of variation is commonly used as the index of reliability of measurements. Thus, comparing coefficients of variation is of special interest. Moreover, the lognormal distribution has been frequently used for modeling data from many fields such as health and medical research. In this paper, we proposed a simulated Bartlett corrected likelihood ratio approach to obtain inference concerning the ratio of two coefficients of variation for lognormal distribution. Simulation studies show that the proposed method is extremely accurate even when the sample size is small.

Optimization of Sweep Codistillation Apparatus for Determination of Coumaphos and Other Organophosphorus Pesticide Residues in Animal Fat

1987 ◽  
Vol 70 (3) ◽  
pp. 442-445
Author(s):  
Robert L Brown ◽  
Clinton N Farmer ◽  
Roderick G Millar
Keyword(s):  
Coefficient Of Variation ◽  
Pesticide Residues ◽  
Organophosphorus Pesticides ◽  
Organophosphorus Pesticide ◽  
Optimum Conditions ◽  
Animal Fat ◽  
Sweep Time ◽  
Coefficients Of Variation ◽  
The Mean

Abstract Optimum conditions have been developed for the quantitative recovery of coumaphos from animal fat by using a commercial sweep codistillation unit. Under the conditions specified (255°C distillation temperature, 250 mL/min of nitrogen, 60 min sweep time) and using Florisil trapping, the mean recovery of coumaphos was 91% with a coefficient of variation of 6%. Other organophosphorus pesticides recovered include diazinon, chlorpyrifos, ethion, and bromophos-ethyl with recoveries ranging from 90 to 96% and coefficients of variation ranging between 4 and 6%.

Mathematical-Statistical Methods for the Analysis of Aerial Triangulation Adjustment Errors Using a Computer Program

1975 ◽  
Vol 29 (2) ◽  
pp. 175-188
Author(s):  
M. Mosaad Allam
Keyword(s):  
Computer Program ◽  
Frequency Interval ◽  
Mean Square ◽  
Fisher Criterion ◽  
Statistical Parameters ◽  
Sample Distribution ◽  
Development Section ◽  
The Mean ◽  
Kolmogorov Criterion ◽  
Mean Square Errors

In practice, photogrammetrists use a single statistic reliability interval criterion, based on the mean square errors, to judge the accuracy of adjustment of photogrammetric blocks. Even in some cases, if the practical and theoretical distributions of frequency interval agree, such a test does not make it possible to establish the closeness of their convergence nor the degree of their difference. In other words, to get a complete picture of the character of the distribution of errors in the adjusted photogrammetric blocks, it is insufficient to investigate any single statistic. In the Research and Development Section of the Topographical Survey Directorate, a computer program (SABA) has been designed to analyze the errors of photogrammetric block adjustments, compute various statistical parameters and check the sample distribution using Kolmogorov criterion. Based on the decision taken, the correspondence between the empirical and theoretical distribution series are checked using the criterion χ2. The program divides the adjusted block to make a comparative evaluation of accuracies in the different sub-blocks. In this case, in addition to Kolmogorov and χ2 tests, the program checks the reliability intervals of the means and mean square errors of the samples and uses Fisher criterion ‘F’ to check the hypothesis of the equality of dispersion. SABA is coded in Fortran IV and Compass for the CDC CYBER 74 and requires a central memory of 28K decimal works. SABA is the acronym for Statistical Analysis of Block Adjustment.

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