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Box-Cox Normality Plot Top Prev Next

Sample Box-Cox normality plot

  • Question:
    What is best transformation to normality?

  • Definition:
    Vertical Axis : Normal probability plot correlation coefficient
    Horizontal Axis: Box-Cox power transformation parameter (lambda)

  • Interpretation/Conclusion:
    Best transformation is lambda = 0 (i.e., logarithmic)

  • NIST/SEMATECH Handbook Chapter:
    1. Exploratory Data Analysis

  • References:
    NIST/SEMATECH e-Handbook of Statistical Methods, Box-Cox Linearity Plot, 6/2003.

    Box and Cox (1964), "An Analysis of of transformations," Journal of the Royal Statistical Society, Series B 26 (2): 211–252.

Dataplot Command: BOX-COX NORMALITY PLOT Y
Dataplot Code:
SKIP 25
READ FULLER2.DAT Y
TITLE CASE ASIS
LABEL CASE ASIS
TITLE Box-Cox Normality Plot
X1LABEL Alpha
Y1LABEL Correlation Coefficient
BOX-COX NORMALITY PLOT Y

Dataplot Reference Manual Documentation for BOX-COX NORMALITY PLOT

Date created: 06/05/2001
Last updated: 02/13/2023
Please email comments on this WWW page to alan.heckert@nist.gov.