USE OF ANOVA FOR TESTING REPRODUCIBILITY - A CASE STUDY

Authors

  • Ravindra Reddy P V R Department of Mechanical Engineering, Chaitanya Bharathi Institute of Technology, Hyderabad, Andhra Pradesh-500075, India
  • Chandra Mohan Reddy G Department of Mechanical Engineering, Chaitanya Bharathi Institute of Technology, Hyderabad, Andhra Pradesh-500075, India
  • Janardhan Reddy T A Department of Mechanical Engineering, University College of Engineering, Hyderabad, Andhra Pradesh - 500007, India
  • Haragopal G Department of Mechanical Engineering, Chaitanya Bharathi Institute of Technology, Hyderabad, Andhra Pradesh-500075, India

Keywords:

ANOVA, Reproducibility, Validation

Abstract

ANOVA is the method to test a hypothesis. It is statistically based objective decision making tool for detecting any differences in average performance of the groups of items tested. So far, researchers used ANOVA to find out the existence and extent of relation between the chosen input parameters and selected output parameters. On the contrary, In this work the authors tried to apply ANOVA to test the reproducibility of results when the relation between the input and out parameters is already known. One of the cases that needs checking of reproducibly of results is the validation of the numerical results with experimental ones. In this work the force obtained from simulation is to be compared with the experimental results for which the experimental results are to be reproducible for the validation to be valid. ANOVA is used here to check whether the variation among the averages of the groups is more than individual variation taking BHF (blank holding force) and punch force as input and output parameters respectively.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

References

Phillip J Rose (1996), Second edition “Taguchi Techniques for Quality Engineering”, McGraw-Hill International

Eun-chae Jeon, Joo-Seung Park and Dongil Kwon (2003), “Statistical Analysis of Experimental Parameters in Continuous Inentation Tests Using Taguchi Method” Journal of Engineering Materials and Technology, Vol. 125, 406-411

Ji Hyuck Yang and Kang Yong Lee (2005), “Hygrothermal Cracking Analysis of Plastic IC Package,” Journal of Electronic Packaging, Vol. 127,164-171

Yuan Mao Huang and Ching-Shin Shiau (2006), “Optimal Tolerance Allocation for a Sliding Vane Compressor”, Journal of Mechanical Design, Vol. 128 ,98-107

Jiang Yao, Paul D Funkenbusch, Jason Snibbe, Mike Maloney and Amy L Lerner ( 2006), “Sensitivities of Medial Meniscal Motion and Deformation to Material Properties of Articular Cartilage, Meniscus and Meniscal Attachments Using Design of Experiments Methods”, Journal of Biomechanical Engineering, Vol. 128, 399-408

Apurva Kumar, Andy J Keane, Prasanth B Nair and Shahrokh Shahpar (2006), “Robust Design of Compressor Fan Blades against Erosion”, Journal of Mechanical Design, Vol. 128, 864-873.

Bing Li, Nye T J and Don R Metzge (2007), “Improving the Reliability of the Tube-Hydroforming Process by the Taguchi Method”, Journal of Pressure Vessel Technology, Vol. 129, 242-247

Yang Y, Janaki Ram D G and Stucker B E (2007), “An Experimental Determination of Optimum Processing Parameters for Al/SiC Metal Matrix Composites Made Using Ultrasonic Consolidation”, Journal of Engineering Materials and Technology, Vol. 129, 538-549

Stefan Rakuf and Paul Beaudet (2008), “Thermal and Structural Deformations During Diamond Turning of Rotationally Symmetric Structured Surfaces” Journal of Manufacturing Science and Engineering, Vol. 130, 1-9.

Duccio Bonaiuti and Mehrdad Zangeneh (2009), “On the Coupling of Inverse Design and Optimization Techniques for the Multiobjective, Multipoint Design of Turbomachinery Blades”, Journal of Turbomachinery, Vol. 131,1-16

Amar Patnaik, Alok Satapathy and Mahapatra S S (2009) “Study on Erosion Response of Hybrid Composites Using Taguchi Experimental Design”, Journal of Engineering Materials and Technology, Vol. 131, 031011-1- 031011-16

Garcia J (2001), ‘‘The Need for Computational Model Validation,’’ Exp. Tech., Vol.25 (2), 31–33.

Hill R G and Trucano T G (1999), ‘‘Statistical Validation of Engineering and Scientific Models: Background,”, SAND99, 1256

Huang A, Lowe A and Cardew-Hall M J (2001), ‘‘Experimental Validation of Sheet Thickness Optimization for Superplastic Forming of Engineering Structures”, J. Mater. Process. Technol., Vol. 112, 136–143

Livatyali H, Wu H C and Altan T (2002), ‘‘Prediction and Elimination of Springback in Straight Flanging Using Computer Aided Design Methods II: FEM Predictions and Tool Design’’, J. Mater. Process. Technol., Vol.120, 348–354.

Livatyali H and Altan T (2001), ‘‘Prediction and Elimination of Springback in Straight Flanging Using Computer Aided Design Methods1: Experimental Investigations’’, J. Mater. Process. Technol., Vol. 117, 262–268.

Thaweepat Buranathiti, Jian Cao and Wei Chen (2006), “Approaches for Model Validation: Methodology and Illustration on a Sheet Metal Flanging Process”, Journal of Manufacturing Science and Engineering, Vol. 128, 589-597

Scariano S M and Davemport J M (1998), “The Effect of Violations of Independence in the One Way ANOVA”, the American Statistician, Vol.41 (2), 123-129.

Andy Field “A Bluffer’s Guide to Sphericity” The British Psychological Society: Mathematical, Statistical & Computing Section Newsletter, Vol. 6(2), 13-24.

Keselman H J, Algina J and Kowalchuk R K (2001), “The Analysis of Repeated Measures Designs: a Review”, British Journal of Mathematical and Statistical Psychology, Vol. 54,1-20.

Downloads

Published

2011-09-01

How to Cite

[1]
Ravindra Reddy P V R, Chandra Mohan Reddy G, Janardhan Reddy T A, and Haragopal G, “USE OF ANOVA FOR TESTING REPRODUCIBILITY - A CASE STUDY”, JME, vol. 6, no. 3, pp. 142–146, Sep. 2011.