Premium
ANALYSIS OF FATIGUE LIFE DATA USING THE BOX‐COX TRANSFORMATION
Author(s) -
Hinkle A. J.,
Emptage M. R.
Publication year - 1991
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.1991.tb00685.x
Subject(s) - transformation (genetics) , power transform , normality , data transformation , logarithm , structural engineering , computer science , reliability engineering , mathematics , engineering , data mining , statistics , artificial intelligence , mathematical analysis , chemistry , consistency (knowledge bases) , data warehouse , gene , biochemistry
Fatigue life data customarily analyzed using the logarithmic transformation may be better analyzed using the Box‐Cox transformation. This transformation has the advantages of stabilizing the variance, simplifying the model and transforming to approximate normality. In addition, simple schemes for imputing run‐outs can be constructed and the endurance limit can be easily calculated. This paper considers in detail the use of the transformation on fatigue life data from a thick plate Al‐Zn‐Cu‐Mg alloy. It presents a simplified method for determining the transformation, and then uses the transformation to determine distinctions in quality between different lots and confidence intervals on the lifetime.