Goodness-of-Fit Tests Based on P-P Probability Plots

REFERENCES

• Brain , C. W. and Shapiro , S. S. 1983 . “A Regression Test for Exponentiality: Censored and Complete Samples,” . Technometrics , 25 : 69 – 76 .
   Web of Science ®Google Scholar
• D'Agostino , R. B. and Pearson , E. S. 1973 . “Tests for Departures From Normality: Empirical Results for the Distributions of b2 and √bx,” . Biometrika , 60 : 613 – 622 .
   Web of Science ®Google Scholar
• De Wet , T. and Venter , J. H. 1972 . “Asymptotic Distributions of Certain Test Criteria of Normality,” . South African Statistical Journal , 6 : 135 – 149 .
   Google Scholar
• Gan , F. F. 1985 . “Goodness-of-Fit Statistics for Location-Scale Distributions,” Iowa State University, Dept. of Statistics. . unpublished Ph.D. dissertation
   Google Scholar
• Gan , F. F. , Koehler , K. J. and Thompson , J. C. 1989 . “Probability Plots and Distribution Curves for Assessing the Fit of Probability Model,” unpublished manuscript submitted to The American Statistician.
   Google Scholar
• Goodall , C. 1983 . “M-Estimates of Location: An Outline of the Theory”. ” . In Understanding Robust and Exploratory Data Analysis Edited by: Hoaglin , D. C. , Mosteller , F. and Tukey , J. W. 344 – 345 . New York : John Wiley. .
   Google Scholar
• Harter , H. L. 1984 . “Another Look at Plotting Positions,” . Communications in Statistics—Theory and Methods , 13 : 1613 – 1633 .
   Web of Science ®Google Scholar
• Harter , H. L. and Wiegand , R. P. 1985 . “A Monte Carlo Study of Plotting Positions,” . Communications in Statistics—Simulation and Computation , 14 : 317 – 343 .
   Web of Science ®Google Scholar
• Juritz , J. M. , Juritz , J. W. R. and Stephens , M. A. 1983 . “On the Accuracy of Simulated Percentage Points,” . Journal of the American Statistical Association , 78 : 441 – 444 .
   Web of Science ®Google Scholar
• Kimball , B. F. 1960 . “On the Choice of Plotting Positions on Probability Paper,” . Journal of the American Statistical Association , 55 : 546 – 550 .
   Web of Science ®Google Scholar
• Lawless , J. F. 1982 . Statistical Models and Methods for Lifetime Data New York : John Wiley. .
   Google Scholar
• Looney , S. W. and Gulledge , T. R. 1984 . “Regression Tests of Fit and Probability Plotting Positions,” . Journal of Statistical Computation and Simulation , 20 : 115 – 127 .
   Web of Science ®Google Scholar
• Looney , S. W. and Gulledge , T. R. 1985 . “Use of the Correlation Coefficient With Normal Probability Plots,” . The American Statistician , 39 : 75 – 79 .
   Web of Science ®Google Scholar
• Mann , N. R. , Scheuer , E. M. and Fertig , K. W. 1973 . “A New Goodness-of-Fit Test for the Two-Parameter Weibull or Extreme-Value Distribution With Unknown Parameters,” . Communications in Statistics, Part A—Theory and Methods , 2 : 383 – 400 .
   Google Scholar
• Michael , J. R. 1983 . “The Stabilized Probability Plot,” . Biometrika , 7 : 11 – 17 .
   Google Scholar
• Pearson , E. S. , D'Agostino , R. B. and Bowman , K. O. 1977 . “Tests of Departure From Normality: Comparison of Powers,” . Biometrika , 64 : 231 – 246 .
   Web of Science ®Google Scholar
• Pettit , A. N. 1977 . “Testing the Normality of Several Independent Samples Using the Anderson-Darling Statistics,” . Applied Statistics , 26 : 156 – 161 .
   Google Scholar
• Royston , J. P. 1982 . “The W Test for Normality,” . Applied Statistics , 31 : 176 – 180 .
   Web of Science ®Google Scholar
• Shapiro , S. S. and Brain , C. W. 1987 . “W-Test for the Weibull Distribution,” . Communications in Statistics—Simulation and Computation , 16 : 209 – 219 .
   Web of Science ®Google Scholar
• Shapiro , S. S. and Wilk , M. B. 1965 . “An Analysis of Variance Test for Normality (Complete Samples),” . Biometrika , 52 : 591 – 611 .
   Web of Science ®Google Scholar
• Shapiro , S. S. and Wilk , M. B. 1972 . “An Analysis of Variance Test for the Exponential Distribution (Complete Samples),” . Technometrics , 14 : 355 – 370 .
   Web of Science ®Google Scholar
• Stephens , M. A. 1974 . “EDF Statistics for Goodness-of-Fit and Some Comparisons,” . Journal of the American Statistical Association , 69 : 730 – 737 .
   Web of Science ®Google Scholar
• Stephens , M. A. 1976 . “Asymptotic Results for Goodness-of-Fit Statistics With Unknown Parameters,” . The Annals of Statistics , 4 : 357 – 369 .
   Web of Science ®Google Scholar
• Stephens , M. A. 1986a . “Tests Based on Regression and Correlation”. ” . In Goodness-of-Fit Techniques Edited by: D' Agostino , R. B. and Stephens , M. A. 97 – 194 . New York : Marcel Dekker. .
   Google Scholar
• D' Agostino , R. B. and Stephens , M. A. 1986a . “Tests Based on Regression and Correlation”. ” . In Goodness-of-Fit Techniques Edited by: D' Agostino , R. B. and Stephens , M. A. 195 – 234 . New York : Marcel Dekker. . (1986b). “Tests Based on EDF Statistics,”
   Google Scholar
• Weibull , W. 1939 . “The Phenomenon of Rupture in Solids,” . Ingeniors Vetenskaps Akadamien Handlingar , 153 : 17
   Google Scholar
• Wichmann , B. A. and Hill , I. D. 1982 . “An Efficient and Portable Pseudo-Random Number Generator,” . Applied Statistics , 31 : 188 – 190 . Correction (1984), 33, 123
   Web of Science ®Google Scholar
• Wilk , M. B. and Gnanadesikan , R. 1968 . “Probability Plotting Methods for the Analysis of Data,” . Biometrika , 55 : 1 – 19 .
   PubMed Web of Science ®Google Scholar