Theoretical and Experimental Studies of Statistical Evaluation Method for Flatness Error

2010 ◽  
Vol 118-120 ◽  
pp. 886-890
Author(s):  
Lei Zhang ◽  
D.Q. Yu ◽  
Y.Q. Yang ◽  
Dong Rong Zheng ◽  
Ming Hu
Keyword(s):  
Statistical Analysis ◽  
Data Processing ◽  
Normal Distribution ◽  
Full Advantage ◽  
Evaluation Method ◽  
Statistical Evaluation ◽  
Experimental Studies ◽  
Gross Error ◽  
Flatness Error ◽  
Evaluation Parameters

The theoretical and experimental studies of statistical evaluation method for flatness error are conducted thoroughly, and evaluation parameters and corresponding practicable data processing model are provided. Furthermore, a large number of experiments have been done and statistical analysis has been conducted. The results show that the distribution of extract elements of almost 90 percent of the measured planes is accordant with censored normal distribution, which proves that statistical flatness error obeys normal distribution. The characteristic that sample points are random variables is taken full advantage of in the statistic method, and the flatness error can be calculated without the influence of gross error and therefore the rate of waste parts can be reduced effectively.

Statistical Analysis for Human Preference to Colors

2011 ◽  
Vol 15 (4) ◽  
pp. 433-437
Author(s):  
Taki Kanda ◽  
Keyword(s):  
Statistical Analysis ◽  
Normal Distribution ◽  
Evaluation Method ◽  
Rank Order ◽  
Standard Normal Distribution ◽  
Paired Comparisons ◽  
Human Preference ◽  
Black And White ◽  
Standard Normal ◽  
Method Of Paired Comparisons

This paper discusses human preference of colors. There are many statistical methods to analyze human preference. In sensory evaluation method of rank order or various methods of paired comparisons are used. Here for methods to analyze human preference to colors the method of rank order and Thurstone’s method of paired comparisons are taken up, for colors red, blue, yellow, black, and white are taken up, and it is studied how those colors are preferred using both methods and same subjects aiming to find out whether equal results are obtained. In the method of rank order, order statistics from the normal distribution are used for evaluation, and in the Thurstone’s method of paired comparisons, it is assumed that human sensations follow the normal distribution. In both methods, the units of evaluation values become the standard deviations of the standard normal distribution, that is, σ = 1, hence the evaluation values obtained by both methods are useful to compare the results among many objects. In this paper, the method of rank order and Thurstone’s method of paired comparisons are described, results of evaluation for preference to colors by both methods using the same subjects are shown, and it is discussed how the results of evaluation differ for both methods.

scholarly journals Image Statistics Preserving Encrypt-then-Compress Scheme Dedicated for JPEG Compression Standard

Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 421
Author(s):  
Dariusz Puchala ◽  
Kamil Stokfiszewski ◽  
Mykhaylo Yatsymirskyy
Keyword(s):  
Statistical Analysis ◽  
Image Encryption ◽  
Experimental Studies ◽  
Quality Measures ◽  
Input Image ◽  
Jpeg Compression ◽  
Image Statistics ◽  
Compression Stage ◽  
Wide Range ◽  
The Impact

In this paper, the authors analyze in more details an image encryption scheme, proposed by the authors in their earlier work, which preserves input image statistics and can be used in connection with the JPEG compression standard. The image encryption process takes advantage of fast linear transforms parametrized with private keys and is carried out prior to the compression stage in a way that does not alter those statistical characteristics of the input image that are crucial from the point of view of the subsequent compression. This feature makes the encryption process transparent to the compression stage and enables the JPEG algorithm to maintain its full compression capabilities even though it operates on the encrypted image data. The main advantage of the considered approach is the fact that the JPEG algorithm can be used without any modifications as a part of the encrypt-then-compress image processing framework. The paper includes a detailed mathematical model of the examined scheme allowing for theoretical analysis of the impact of the image encryption step on the effectiveness of the compression process. The combinatorial and statistical analysis of the encryption process is also included and it allows to evaluate its cryptographic strength. In addition, the paper considers several practical use-case scenarios with different characteristics of the compression and encryption stages. The final part of the paper contains the additional results of the experimental studies regarding general effectiveness of the presented scheme. The results show that for a wide range of compression ratios the considered scheme performs comparably to the JPEG algorithm alone, that is, without the encryption stage, in terms of the quality measures of reconstructed images. Moreover, the results of statistical analysis as well as those obtained with generally approved quality measures of image cryptographic systems, prove high strength and efficiency of the scheme’s encryption stage.

Flatness Assessment System of Ultra-Wide Tandem Cold Rolling Mill

2014 ◽  
Vol 529 ◽  
pp. 415-419
Author(s):  
Ren Ren Bao ◽  
Jie Zhang ◽  
Hong Bo Li ◽  
Jun Wang ◽  
Yu Gang Chu ◽  
...  
Keyword(s):  
Assessment System ◽  
Control Parameters ◽  
Calculation Methods ◽  
Cold Rolling Mill ◽  
Tandem Cold Rolling ◽  
Methods Of Evaluation ◽  
Flatness Control ◽  
Flatness Pattern Recognition ◽  
Flatness Error ◽  
Evaluation Parameters

Many complex waviness defects occur during the production process of ultra wide TCMs, flatness idex I can not meet the demands of analyzing these problems. Therefore flatness pattern recognition considering cubic patterns is introduced to provide a flatness evaluation parameter. Combining the calculation methods and statistical methods of evaluation parameters, a flatness assessment system is programmed with Matlab GUI, which provides functions such as representing the flatness of previous strips, recognizing the flatness error and making statistics. After verifying of actual flatness measured value, the system is proved to be effective, which provides theoretical basis and data support for mastering the flatness quality and optimizing flatness control parameters.

scholarly journals Adhesion of Soft Materials to Rough Surfaces: Experimental Studies, Statistical Analysis and Modelling

Coatings ◽  
2018 ◽  
Vol 8 (10) ◽  
pp. 350 ◽  
Author(s):  
Andrey Pepelyshev ◽  
Feodor Borodich ◽  
Boris Galanov ◽  
Elena Gorb ◽  
Stanislav Gorb
Keyword(s):  
Statistical Analysis ◽  
Smooth Surface ◽  
Rough Surfaces ◽  
Experimental Studies ◽  
Soft Materials ◽  
Adhesive Contact ◽  
Theoretical Modelling ◽  
Height Distribution ◽  
Depth Sensing ◽  
Adhesive Properties

Adhesion between rough surfaces is an active field of research where both experimental studies and theoretical modelling are used. However, it is rather difficult to conduct precise experimental evaluations of adhesive properties of the so-called anti-adhesive materials. Hence, it was suggested earlier by Purtov et al. (2013) to prepare epoxy resin replicas of surfaces having different topography and conduct depth-sensing indentation of the samples using a micro-force tester with a spherical smooth probe made of the compliant polydimethylsiloxane polymer in order to compare values of the force of adhesion to the surfaces. Surprising experimental observations were obtained in which a surface having very small roughness showed the greater value of the force of adhesion than the value for a replica of smooth surface. A plausible explanation of the data was given suggesting that these rough surfaces had full adhesive contact and their true contact area is greater than the area for a smooth surface, while the surfaces with higher values of roughness do not have full contact. Here, the experimental results of surface topography measurements and the statistical analysis of the data are presented. Several modern tests of normality used showed that the height distribution of the surfaces under investigation is normal (Gaussian) and hence the classic statistical models of adhesive contact between rough surfaces may formally be used. Employing one of the Galanov (2011) models of adhesive contact between rough surfaces, the plausible explanation of the experimental observations has been confirmed and theoretically justified.

scholarly journals SHAMAN: a user-friendly website for metataxonomic analysis from raw reads to statistical analysis

2020 ◽  
Author(s):  
Stevenn Volant ◽  
Pierre Lechat ◽  
Perrine Woringer ◽  
Laurence Motreff ◽  
Christophe Malabat ◽  
...  
Keyword(s):  
Statistical Analysis ◽  
Data Processing ◽  
Web Application ◽  
Graphical Representation ◽  
Statistical Modelling ◽  
Metagenomic Data ◽  
Sequencing Data ◽  
Microbiome Research ◽  
Interactive Visualizations ◽  
User Friendly

Abstract BackgroundComparing the composition of microbial communities among groups of interest (e.g., patients vs healthy individuals) is a central aspect in microbiome research. It typically involves sequencing, data processing, statistical analysis and graphical representation of the detected signatures. Such an analysis is normally obtained by using a set of different applications that require specific expertise for installation, data processing and in some case, programming skills. ResultsHere, we present SHAMAN, an interactive web application we developed in order to facilitate the use of (i) a bioinformatic workflow for metataxonomic analysis, (ii) a reliable statistical modelling and (iii) to provide among the largest panels of interactive visualizations as compared to the other options that are currently available. SHAMAN is specifically designed for non-expert users who may benefit from using an integrated version of the different analytic steps underlying a proper metagenomic analysis. The application is freely accessible at http://shaman.pasteur.fr/, and may also work as a standalone application with a Docker container (aghozlane/shaman), conda and R. The source code is written in R and is available at https://github.com/aghozlane/shaman. Using two datasets (a mock community sequencing and published 16S rRNA metagenomic data), we illustrate the strengths of SHAMAN in quickly performing a complete metataxonomic analysis. ConclusionsWe aim with SHAMAN to provide the scientific community with a platform that simplifies reproducible quantitative analysis of metagenomic data.

scholarly journals Investment Portfolio Formation Using Multi-criteria evaluation Method MULTIMOORA

2017 ◽  
Vol 9 (2) ◽  
pp. 209-219
Author(s):  
Vilius Vaišvilas ◽  
Raimonda Kaulienė
Keyword(s):  
Statistical Analysis ◽  
Evaluation Method ◽  
Scientific Literature ◽  
Task Complexity ◽  
Investment Portfolio ◽  
Investment Evaluation ◽  
Multi Criteria Evaluation ◽  
Article Analysis ◽  
The Baltic ◽  
Complicated Task

Information that has to be analyzed by investors is complicated and can be interpreted differently by different people, which is why choosing what should be added to the investment portfolio is complicated task. Complexity grows substantially when there are more alternatives to choose from. Multi – criteria evaluation method can be used to choose the best alternatives. Multi–criteria evaluation method MULTIMOORA is not subjective because there is no need to decide ratio of any given variable that is evaluated. MULTIMOORA consists of: formation of ratio system, application of multi – criteria evaluation method as well as investment evaluation and ranking. Purpose of this article is to apply multi – criteria evaluation method MULTIMOORA for the formation and management of investment portfolio from stocks of the Baltic stock market companies. Methods used in the analysis for the article: analysis of scientific literature, statistical analysis, organization and comparison of data, idealization, calculations of MULTIMOORA.

scholarly journals Verification of normal distribution of welding distortions

2019 ◽  
Vol 91 (3) ◽  
Author(s):  
Damian Grzesiak ◽  
Jarosław Plichta
Keyword(s):  
Statistical Analysis ◽  
Standard Deviation ◽  
Normal Distribution ◽  
Sheet Metal ◽  
Welding Process ◽  
Experiment Planning ◽  
Geometrical Parameters ◽  
Butt Welds ◽  
Planning Methods ◽  
Smirnov Test

The aim of this paper is to answer the question of the distribution of welding distortions. The MIG method was used to make 31 butt welds of 0H18N9 sheet metal, of 6 mm thickness and dimensions 150x350 mm. All joints are made with constant parameters of the welding process. Statistical analysis of the distribution and Kolomogorov-Smirnov test were used in this paper. On the grounds of the analysis it was proved that the distribution of welding deformations is a normal distribution. This justifies the use of experiment planning methods and the use of average values. The relatively high value of the standard deviation makes it necessary to take into account the geometrical parameters of the joint.

scholarly journals Volatility of Jakarta Islamic Index

2014 ◽  
Vol 6 (2) ◽  
pp. 207-222
Author(s):  
Hendri Tanjung
Keyword(s):  
Statistical Analysis ◽  
Normal Distribution ◽  
Stock Exchange ◽  
Daily Data ◽  
Using Data ◽  
Simple Statistical Analysis

Volatility of Jakarta Islamic Index. This study investigates the volatility of Jakarta Islamic Index (JII) in Jakarta Stock Exchange. The method that used in this research is used a simple statistical analysis. The normality of JII return is analyzed to answer whether the return of JII follows normal distribution. By using data of Jakarta Islamic Index from 2nd March 2009 to 30th October 2013 (1122 daily data), it is found that the distribution of return of JII is not normal, even the 5 sigma occurred. This means the return of Jakarta Islamic Index is much volatile than the theory predicted. This will make too much gain or loss in one day in the economy  DOI:10.15408/aiq.v6i2.1231

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