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Automating the analysis of variance of orthogonal designs

Heiko Großmann
2014 Computational Statistics & Data Analysis  
A new algorithm is presented which for a wide class of designs is capable of deducing the appropriate analysis of variance from the design only.  ...  As a consequence the use of a model formula for specifying the analysis becomes dispensable. This unique feature distinguishes the current approach from other existing procedures.  ...  Acknowledgements The main part of this work was carried out at the Isaac Newton Institute (INI), Cambridge, during the 'Design and Analysis of Experiments' programme from July-December 2011.  ... 
doi:10.1016/j.csda.2013.08.014 fatcat:t7ppvzqgkbbyldhamyl4emep4m

Orthogonalization of Regressors in fMRI Models

Jeanette A. Mumford, Jean-Baptiste Poline, Russell A. Poldrack, Suliann Ben Hamed
2015 PLoS ONE  
However, the effects of orthogonalization on the interpretation of the resulting parameter estimates is widely unappreciated or misunderstood.  ...  Here we discuss the nature and causes of collinearity in fMRI models, with a focus on the appropriate uses of orthogonalization.  ...  until the most efficient design is found, the variance for x 1 and x 2 will be fixed across all candidate designs, implying the most efficient design that is identified will be the design with the lowest  ... 
doi:10.1371/journal.pone.0126255 pmid:25919488 pmcid:PMC4412813 fatcat:ygkvvd4ftneovhv26ddrwa6crq


2012 International Journal of Instrumentation Control and Automation  
The approach was based on Taguchi's method and analysis of variance (ANOVA) to optimize the AWJM process parameter for effective machining and to predict the optimal choice for each AWJM parameter such  ...  The analysis of the Taguchi method reveals that, in general the standoff distance significantly affects the MRR while, Abrasive flow rate affects the surface Roughness.  ...  Analysis of Variance (ANOVA) International Journal of Instrumentation, Control and Automation (IJICA) ISSN: 2231-1890,Volume-1, Issue-4 Analysis of variance (ANOVA) and F-test (standard analysis) are used  ... 
doi:10.47893/ijica.2012.1041 fatcat:btfnoabrzzf33gzdmavurlpway

Prediction Of Output Responses In Milling Of Casted Aluminum By Using Ann

N. Rajesh, Dr. CNV Sridhar
2015 Zenodo  
The feasibility of implementation of design of experime nts (DOE),and Artificial Neural network in milling process is analyzed.  ...  The important goal in the modern industries is to m anufacture the products with lower cost and with hi gh quality in short span of time.  ...  the name analysis of variance.  ... 
doi:10.5281/zenodo.1471777 fatcat:jry5ckolynbuhioifqhufcl4yi

Diagnostic features of relief formations on the nanostructured titanium VT1-0 surface after laser shock-wave treatment

I V Lytvynenko, S A Lupenko, P O Maruschak, S V Panin, Yu I Hats
2017 IOP Conference Series: Materials Science and Engineering  
They are the coefficients of series expansions of statistical estimates for the orthogonal basis of Chebyshev, Laguerre, Kravchuk discrete polynomials and trigonometric functions.  ...  A new class of diagnostic features for conducting morphological analysis of relief formations induced by laser shock-wave treatment on the surface of the nanostructured titanium VT1-0 alloy is proposed  ...  Design of modern systems for the processing and simulation of cyclic attributes of the relief formation allows automating and substantially intensifying the process of their analysis, diagnosis and prognosis  ... 
doi:10.1088/1757-899x/177/1/012084 fatcat:7cwiqhpqyjcbxkwoucpzospfkq

Optimization of P-GMAW Welding Parameters Using Taguchi Technique for SS304L Pipes [chapter]

Rudreshi Addamani, H. V. Ravindra, C. S. Darshan
2017 Techno-Societal 2016  
Signal to Noise (S/N) ratio and Analysis of Variance (ANOVA) were employed to study the welding characteristics of material.  ...  Mild steel filler wire with copper coated of diameter 1.2 mm was used. An orthogonal array, L27 was used to conduct the experiments.  ...  Banglore, INDIA and P.E.S College of Engineering, Mandya, INDIA for their support to carry out experimentation.  ... 
doi:10.1007/978-3-319-53556-2_81 fatcat:dlwdm7764rehfpkwugy6642rsa

Automics: an integrated platform for NMR-based metabonomics spectral processing and data analysis

Tao Wang, Kang Shao, Qinying Chu, Yanfei Ren, Yiming Mu, Lijia Qu, Jie He, Changwen Jin, Bin Xia
2009 BMC Bioinformatics  
The functional ability of Automics is demonstrated with an analysis of a type 2 diabetes metabolic profile.  ...  Automics is a highly integrated platform that provides functions covering almost all the stages of NMR-based metabonomics studies.  ...  This research was supported by Grant 2009CB521703 from 973 Program of China and Grant 30125009 from NSFC to BX.  ... 
doi:10.1186/1471-2105-10-83 pmid:19291281 pmcid:PMC2666662 fatcat:sgmgarg3djdojiiblasugitrya


Berit Floor Lund, Hans E. Berntsen, Bjarne A. Foss
2005 IFAC Proceedings Volumes  
The paper shows how orthogonal decomposition and permutation of the sensitivity derivative is an intuitive and structured method for automatic ranking of the parameters within a candidate set.  ...  The paper addresses e¢ cient methods for parameter sensitivity analysis and ranking in large, nonlinear, mechanistic models requiring examination of many points in the parameter space.  ...  ACKNOWLEDGEMENTS This work has been undertaken as a part of a Ph.D. project sponsored by NTNU, Elkem and SINTEF.  ... 
doi:10.3182/20050703-6-cz-1902.00097 fatcat:4kfegc4swraofg3p6oepbse5da

Pivot Point: The Key to TEM Automation

Matthew Olszta, Kevin Fiedler, Derek Hopkins, Kayla Yano, Christina Doty, Marjolein Oostrom, Sarah Akers, Steven R. Spurgeon
2022 Microscopy and Microanalysis  
In order to elicit discussion on both the practicality of current stage designs on full automation as well as how to design next generation microscopes to better accommodate advanced microscopy algorithms  ...  Next, we tested to see if moving in the orthogonal axis would impact the backlash of the other axis.  ... 
doi:10.1017/s1431927622010959 fatcat:2pdotszrzzcd3octxzyabyfbde

Optimization of Pulsed Current MIG Welding Parameters for Ultimate Tensile Strength and Hardness of ASTM A106 Pipes using Taguchi Technique

Darshan C S, Praveen Kumar N, Suhas Surya M V, Santhosh Prasanna
2016 International Journal of Engineering Research and  
Signal to Noise (S/N) ratio and Analysis of Variance (ANOVA) were employed to study the welding characteristics of material.  ...  Mild steel filler wire with copper coated of diameter 1.2 mm was used. An orthogonal array, L27 was used to conduct the experiments.  ...  Rudresh Addamani for insightful comments, helping clarify and improve the manuscript.  ... 
doi:10.17577/ijertv5is050844 fatcat:a5q5gxa3jfdb5apuva5ajuqvf4

Optimization of an automobile curtain airbag using the design of experiments

Yong-Won Yun, Jung-Sun Choi, Gyung-Jin Park
2014 Proceedings of the Institution of mechanical engineers. Part D, journal of automobile engineering  
First of all, it defines various elements of the curtain airbag as design variables, performs a computer-based analysis based on the Analysis of Variance (ANOVA) technique, and then selects and defines  ...  These defined variables and the Orthogonal Array (OA) test to reduce the head injury criterion were used. The Response Surface Method (RSM) was used as an approximation method.  ...  An orthogonal array table is formed for the defined design parameters, and Analysis of Variance is performed to find influential design parameters.  ... 
doi:10.1177/0954407013515456 fatcat:db7oa3qjv5fabdbwr6v7holq3y

Parameter ranking by orthogonalization—Applied to nonlinear mechanistic models

Berit Floor Lund, Bjarne A. Foss
2008 Automatica  
The paper shows how the triangular form of the sensitivity derivative gives a particularly easy form of the variance contribution of individual parameters, provided the model error can be assumed Gaussian  ...  The method is easy to implement and the results are easily interpreted. Orthogonalization of the sensitivity matrix gives a triangular form of the squared sensitivity.  ...  This requires efficient automated analysis methods.  ... 
doi:10.1016/j.automatica.2007.04.006 fatcat:2q3vrhuoefdu5p32htvv6m6ldm

Subdivision or Multiplication? The Choice of Calibration Design for Multiples of Kilogram

Adriana Vâlcu, Dragoş Boiciuc
2008 Measurement Science Review  
The paper compares the variance of each weight obtained by both methods.  ...  The realization, maintenance and dissemination of the SI base unit, the kilogram, is one of the tasks of the NMI's mass laboratory and is assured by means of reference standards which are traceable to  ...  The advantage of the former is the orthogonality of the scheme (orthogonality is advantageous only when all the weighings in the design have the same variance [4] ).  ... 
doi:10.2478/v10048-008-0009-8 fatcat:hfgwrgfnxjflxc7kp3ncvgf5oy

Variational Capacitance Extraction and Modeling Based on Orthogonal Polynomial Method

Ruijing Shen, Sheldon X.-D. Tan, Jian Cui, Wenjian Yu, Yici Cai, Geng-Sheng Chen
2010 IEEE Transactions on Very Large Scale Integration (vlsi) Systems  
We show the derivation of the analytic second-order orthogonal polynomials for the variational capacitance integral equations.  ...  Then, an augmented potential coefficient matrix, which consists of the coefficients of the polynomials, is derived.  ...  ACKNOWLEDGMENT The authors would like to thank the referees for their constructive comments that led to the improvements in content.  ... 
doi:10.1109/tvlsi.2009.2025378 fatcat:bfnbdcr5kfgaxd5v4irleqpxae

Orthogonal Regression Analyses of Solar Irradiation and DC Power Data

The orthogonal regression is a standard linear regression technique involves in reducing the sum of squared orthogonal projections.  ...  The rapid deployment of solar photovoltaic cells in recent times is enablingdata analysis of renewable energy solar source and its conversion to electrical energy.  ...  In orthogonal regression slope becomes a function of error variance ratio.  ... 
doi:10.35940/ijitee.d1438.029420 fatcat:zwz4gjdxzrht5bimnkgkpvzlmq
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