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Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003712
EISBN: 978-1-62708-182-5
... regression are also illustrated. statistical analysis confidence limits sampling issue analysis of variance correlation regression corrosionist statistical hypothesis testing THIS ARTICLE is an overview of basic statistical inference and reviews several of the most commonly used statistical...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0009216
EISBN: 978-1-62708-176-4
... article presents statistical methods which help in determining design allowables. These methods include direct computation for normal distribution, direct computation for an unknown distribution, computation of derived properties, and regression analysis. The article concludes with information on low- and...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0009218
EISBN: 978-1-62708-176-4
... rational polynomial creep equation are discussed. The article also describes the dependence of stress and temperature on equation parameters and explains the lot-centered regression analysis. creep creep-rupture data exponential creep lot-centered regression analysis rational polynomial creep...
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003386
EISBN: 978-1-62708-195-5
... based model, regression algorithm, and semi-empirical analysis methodology. composites damage tolerance military aircraft metallic structures composite structures regression algorithm durability semi-empirical analysis THE DAMAGE TOLERANCE DESIGN PHILOSOPHY has been required on all U.S...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002431
EISBN: 978-1-62708-194-8
... procedures that can be used to address variability and uncertainty in an engineering analysis. It concludes with a table that lists relevant statistics standards published by the American Society of Testing and Materials. data-regression dscrete distributions goodness-of-fit test statistical design...
Series: ASM Handbook
Volume: 5
Publisher: ASM International
Published: 01 January 1994
DOI: 10.31399/asm.hb.v05.a0001295
EISBN: 978-1-62708-170-2
... the samples are then calculated based on a chosen model. Regression software is able to determine the thicknesses that give the best fit to within a few angstroms. In many cases, the regression software also gives a “goodness-of-fit” parameter. The “goodness-of-fit” parameter provides a test of the...
Series: ASM Handbook
Volume: 4A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v04a.a0005796
EISBN: 978-1-62708-165-8
... calculation examples for 8645 steel and 86B45 steel. boron steel carbon content carbon steel hardenability low-alloy steel regression analysis Hardenability of steel is the property that determines the depth and distribution of hardness induced by quenching. The extent and depth of...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005416
EISBN: 978-1-62708-196-2
... based on physical principles, primarily because the former are perceived to be limited to the knowledge base on which they are created and hence may not generalize well. The interpolation or extrapolation of regression equations is associated with unspecified uncertainty, even when the fit with the...
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003708
EISBN: 978-1-62708-182-5
... statistical hypotheses and selection of statistical tests. Illustrations are given of specific statistical tests and the concept of confidence limits. It concludes with a discussion of sampling issues, one- way analysis of variance, correlation, and simple regression analysis. The article “Materials Basics...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0009212
EISBN: 978-1-62708-176-4
... procedures that can be applied to mechanical property data. Correlation and regression analysis is dealt with briefly, followed by a discussion of the analysis of designed experiments. In this article in particular, sources of further information are given. Data-specific analysis methods are covered in the...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0009219
EISBN: 978-1-62708-176-4
... fatigue performance of the samples to be tested may be different, depending on the order of application of these treatments. When a regression analysis is performed on a collection of fatigue data, it is generally assumed that the observations are independent and randomized. This set of assumptions is...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005534
EISBN: 978-1-62708-197-9
... flexibility and orthogonality. A flexible design is one that can be used for multiple models, thus permitting the possibility of sequential experimentation. An orthogonal design is one in which the input variables are uncorrelated, and the regression coefficients of the fitted linear model are also...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005407
EISBN: 978-1-62708-196-2
... combination of database distribution, architecture, training algorithm, and transfer function can be tested by an analysis of the network response in a form of linear regression between network outputs (predictions) and corresponding targets (experimental data) for the training and testing datasets ( Fig. 5...
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003641
EISBN: 978-1-62708-182-5
... ). Some of the statistical concepts to produce effective test programs are: Population, sample, and replication Best estimate of variance and standard deviation Confidence limits for the mean Simple linear regression Multiple regression analysis and analysis of variance Covariance of...
Series: ASM Handbook
Volume: 5
Publisher: ASM International
Published: 01 January 1994
DOI: 10.31399/asm.hb.v05.a0001238
EISBN: 978-1-62708-170-2
... Bragg's law (2 d sin Θ = n λ, where Θ is the angular distance between the incident and diffracted beams, n is the order of reflection, and λ is the wavelength of the x-rays). The slope of the curve, obtained by linear regression, is directly proportional to the residual stress. (c) Two analyses of the...
Book Chapter

By Eugene Shapiro
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003268
EISBN: 978-1-62708-176-4
... recalculated to stress/strain pairs during the test. Modulus of elasticity is determined by linear regression of all stress/strain pairs between a minimum stress limit (to avoid errors from initial specimen alignment) and a maximum stress limit, normally 20 to 25% below the yield stress. These limits can be...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002476
EISBN: 978-1-62708-194-8
... distribution. Alternatively, nonlinear regression estimators (discussed later) are utilized to calculate unknown distribution parameters for a three-parameter Weibull distribution. Many factors affect the estimates of the distribution parameters. The total number of test specimens plays a significant role...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002369
EISBN: 978-1-62708-193-1
... , given by the equation (Eq 2) N = C S − b This assumes that the curve will be a straight line on a log-log plot. C is called the S - N coefficient and b is the exponent, which is one over the slope of the curve. The median line can be determined by a linear regression on the...
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001761
EISBN: 978-1-62708-178-8
... stress of −148 MPa (−21.5 ksi), to which a straight line has been fitted by least squares regression. Fig. 3 A d (311) versus sin 2 ψ plot for a shot peened 5056-O aluminum alloy having a surface stress of −148 MPa (−21.5 ksi). The intercept of the plot at sin 2 ψ = 0 is: (Eq 8) d...
Series: ASM Handbook
Volume: 13C
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v13c.a0004187
EISBN: 978-1-62708-184-9
...). For the 88% acetic acid+Cl solutions, the effect of alloying elements is given by the following regression fit (coefficient of determination, R 2 =0.98): (Eq 2) ln ( C R ) = − 0.26 × ( Mo + 0.5 W ) + 6.8 For the 99% acetic acid+Cl, the effect of alloying elements may be given...