Note that this also uses a different expression for the first & last points. [1] cites the original work by Filliben (1975). This expression is an estimate of the medians of U(k). Filliben, J. J. (February 1975), "The Probability Plot Correlation Coefficient Test for Normality", Technometrics, 17 (1), American Society for Quality: 111–117, doi:10.2307/1268008, JSTOR1268008.
Used by Filliben (1975), these plotting points are equal to the modes of U(k). Filliben, J. J. (February 1975), "The Probability Plot Correlation Coefficient Test for Normality", Technometrics, 17 (1), American Society for Quality: 111–117, doi:10.2307/1268008, JSTOR1268008.
Wilk, M.B.; Gnanadesikan, R. (1968), "Probability plotting methods for the analysis of data", Biometrika, 55 (1), Biometrika Trust: 1–17, doi:10.1093/biomet/55.1.1, JSTOR2334448, PMID5661047.
Makkonen, L. (2008), "Bringing closure to the plotting position controversy", Communications in Statistics – Theory and Methods, 37 (3): 460–467, doi:10.1080/03610920701653094, S2CID122822135
Filliben (1975). Filliben, J. J. (February 1975), "The Probability Plot Correlation Coefficient Test for Normality", Technometrics, 17 (1), American Society for Quality: 111–117, doi:10.2307/1268008, JSTOR1268008.
Note that this also uses a different expression for the first & last points. [1] cites the original work by Filliben (1975). This expression is an estimate of the medians of U(k). Filliben, J. J. (February 1975), "The Probability Plot Correlation Coefficient Test for Normality", Technometrics, 17 (1), American Society for Quality: 111–117, doi:10.2307/1268008, JSTOR1268008.
Used by Filliben (1975), these plotting points are equal to the modes of U(k). Filliben, J. J. (February 1975), "The Probability Plot Correlation Coefficient Test for Normality", Technometrics, 17 (1), American Society for Quality: 111–117, doi:10.2307/1268008, JSTOR1268008.
Wilk, M.B.; Gnanadesikan, R. (1968), "Probability plotting methods for the analysis of data", Biometrika, 55 (1), Biometrika Trust: 1–17, doi:10.1093/biomet/55.1.1, JSTOR2334448, PMID5661047.
Filliben (1975). Filliben, J. J. (February 1975), "The Probability Plot Correlation Coefficient Test for Normality", Technometrics, 17 (1), American Society for Quality: 111–117, doi:10.2307/1268008, JSTOR1268008.
nih.gov
pubmed.ncbi.nlm.nih.gov
Wilk, M.B.; Gnanadesikan, R. (1968), "Probability plotting methods for the analysis of data", Biometrika, 55 (1), Biometrika Trust: 1–17, doi:10.1093/biomet/55.1.1, JSTOR2334448, PMID5661047.
Makkonen, L. (2008), "Bringing closure to the plotting position controversy", Communications in Statistics – Theory and Methods, 37 (3): 460–467, doi:10.1080/03610920701653094, S2CID122822135
tufts.edu
engineering.tufts.edu
Note that this also uses a different expression for the first & last points. [1] cites the original work by Filliben (1975). This expression is an estimate of the medians of U(k). Filliben, J. J. (February 1975), "The Probability Plot Correlation Coefficient Test for Normality", Technometrics, 17 (1), American Society for Quality: 111–117, doi:10.2307/1268008, JSTOR1268008.