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The bootstrap analysis of one-way ANOVA stability in the case of the ceramic shell mould of airfoil blade casting

  • Rzeszów University of Technology
  • Silesian University of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

20 Citations (Scopus)

Abstract

The analysis of variance (ANOVA) is a classic tool for an identification of discreet factors impact on the measurable output by a specific decomposition on a total variance according to the scheme proposed by R.A Fisher in the 1920s. There are many explicit and implicit assumptions required as a preliminary of ANOVA computations. The ANOVA computations scheme is well known and implemented in many types of software but all estimations are provided with the assumption of a normal and homoscedasticity distribution of the noise disturbing the output. Computation procedures produce a single number output (e.g. F statistics, p-Value) without any analysis of their own dispersion. This paper analyzes the ANOVA output using the bootstrap approach. It seems to be the most convenient as a data-driven procedure. The source raw data are taken from the image analysis conducted during the investigation of the impact of the ceramic layer thickness on the wax pattern assembly of a turbine blade on the (γ+γ’) eutectic in the IN713C superalloy.

Original languageEnglish
Title of host publicationParametric and Non-Parametric Methods of Data Analysis at Multiscale Modeling
EditorsAgnieszka Szczotok, Jacek Pietraszek, Norbert Radek
PublisherTrans Tech Publications Ltd.
Pages24-30
Number of pages7
ISBN (Print)9783038355038
DOIs
Publication statusPublished - 2015
Event11th World Congress on Computational Mechanics, WCCM 2014 - Barcelona, Spain
Duration: 20 Jul 201425 Jul 2014

Publication series

NameSolid State Phenomena
Volume235
ISSN (Print)1012-0394
ISSN (Electronic)1662-9779

Conference

Conference11th World Congress on Computational Mechanics, WCCM 2014
Country/TerritorySpain
CityBarcelona
Period20/07/1425/07/14

Keywords

  • Analysis of variance
  • Bootstrap
  • One-way ANOVA
  • Parametric factorial model
  • Stability analysis
  • Statistical analysis

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • General Materials Science
  • Condensed Matter Physics

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