The Bootstrap Analysis of One-Way ANOVA Stability in the Case of the Ceramic Shell Mould of Airfoil Blade Casting

Nawrocki, J.; Gądek-Moszczak, Aneta; Kołomycki, Maciej

doi:10.4028/www.scientific.net/ssp.235.24

Cited by 3 publications

(3 citation statements)

References 15 publications

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“…The raw data were obtained during investigation of the ceramic shell mould of the airfoil blade casting (Szczotok et al, 2015;. The purpose of the study was to check if the microstructure is homogeneous.…”

Section: Fixed Effects Modelceramic Shell Mould Of the Airfoil Blade Castingmentioning

confidence: 99%

The Bootstrap Method As A Tool To Improve The Design Of Experiments

Dwornicka

Radek

Pietraszek

2019

System Safety: Human - Technical Facility - Environment

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The paper considers the use of the bootstrap method to improve the determination of confidence intervals identified by the DOE (design of experiment) procedure. Two different approaches have been used: one that is appropriate for factorial designs and the other one relevant to the methodology of the response surface. Both approaches were tested on the real experiment datasets and compared with the results obtained from the classical statistical expressions based on well-known asymptotic formulas derived from the t distribution.

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Section: Fixed Effects Modelceramic Shell Mould Of the Airfoil Blade Castingmentioning

confidence: 99%

The Bootstrap Method As A Tool To Improve The Design Of Experiments

Dwornicka

Radek

Pietraszek

2019

System Safety: Human - Technical Facility - Environment

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“…The investigation was conducted on the materials science matter: the analysis of of the ceramic shell mould of the airfoil blade casting [13]. One casting was selected for the microstructural and statistical analysis, and finally cut off.…”

Section: Case Study For a Fixed-effects Modelmentioning

confidence: 99%

“…To reveal the microstructure of the investigated material the surfaces of the samples were etched, observed by a scanning electron microscope and obtained images analyzed by a computer-aided image analysis program to estimate quantitatively the main parameters describing the (γ+γ') eutectic islands that occurred in the investigated superalloy. Details of the bootstrap-based simulation provided on the mentioned data are available in [13,14] and here a briefly summary of analysis and results is included.…”

Section: Case Study For a Fixed-effects Modelmentioning

confidence: 99%

The Non-Parametric Approach to the Quantification of the Uncertainty in the Design of Experiments Modelling

Pietraszek¹,

Dwornicka²,

Krawczyk³

et al. 2017

Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

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Abstract. The classic design of experiments (DoE) typically uses the least-square method for a model identification and requires associated assumption about the normality of a noise factor. It is very convenience because it leads to a relative simple computations and well-known asymptotic statistics based on the normality assumption. However, if that assumption is not satisfied it may fail and obtained results may differ radically from the verification tests. The rationale for the caution may be the comparison of interval plots (based on the normality hypothesis) and box-plots (based on raw data). The useful approach is the bootstrap-based methodology which replaces the requirement of the normality assumption with weaker requirement of the independent and identical distribution (i.i.d.) of the random term. The industrial applications of this approach are still rare because the industry is very conservative and

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