16 The probability plot: Tests of fit based on the correlation coefficient

Handbook of Statistics

Volumn 17, Issue , 1998, Pages 453-473

  Lockhart, R A ^a   Stephens, M A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346369874     PISSN: 01697161     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0169-7161(98)17018-9     Document Type: Review

References (29)

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3. David H.A. Order Statistics (1981), Wiley, Burnaby, B. C., Canada, V5A 1S6
4. In: Davies O.L. (Ed). The Design and Analysis of Industrial Experiments (1956), Hafner, New York
5. Davis C.S., and Stephens M.A. The covariance matrix of normal order statistics. Comm. Statist.-Simul. Comput. B6 (1977) 135-149
6. De Wet T., and Venter J.H. Asymptotic distributions of certain test criteria of normality. S. African Statist. J. 6 (1972) 135-149
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8. Durbin J., and Knott M. Components of Cramér-von Mises statistics. J. Roy. Statist. Soc. B 34 (1972) 290-307
9. Gerlach B. A consistent correlation-type goodness-of-fit test; with application to the two-parameter Weibull distribution. Math. Operations-forsch. Statist. Ser. Statist. 10 (1979) 427-452
10. Imhof J.P. Computing the distribution of quadratic forms in normal variables. Biometrika 48 (1961) 419-426
11. LaBrecque J. Goodness-of-Fit tests based on nonlinearity in probability plots. Technometrics 19 (1977) 206-293
12. Lehman H. E. On two modifications of the Cramér-von Mises statistic. J. Roy. Statist. Soc. B 35 (1973) 523
13. Leslie J.R. Asymptotic Properties and New Approximations for both the Covariance Matrix of Normal Order Statistics and its Inverse. In: Révész P., Sarkadi K., and Sen P.K. (Eds). Goodness-of-Fit (1987), Elsevier, Philadelphia 317-354
14. Leslie J.R., Stephens M.A., and Fotopoulos S. Asymptotic distribution of the Shapiro-Wilk W for testing for normality. Ann. Statist. 14 (1986) 1497-1506
15. Lockhart R.A. The asymptotic distribution of the correlation coefficient in testing fit to the exponential distribution. Canad. J. Statist. 13 (1985) 253-256
16. Lockhart R.A. Overweight tails are inefficient. Ann. Statist. 19 (1991) 2254-2258
17. Lockhart R.A., and Stephens M.A. The Probability Plot: Consistency of Tests of fit. Research Report (1995), Dept. of Mathematics and Statistics, Simon Fraser University, New York
18. McLaren C.G., and Lockhart R.A. On the asymptotic efficiency of certain correlation tests of fit. Canad. J. Statist. 2 (1987) 159-167
19. Puri M.L., and Radhakrishna Rao C. Augmenting Shapiro-Wilk Test for Normality. Contributions to Applied Statistics: Volume dedicated to A. Linder (1975), Birkhauser-Verlag 129-139
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23. Spinelli J.J., and Stephens M.A. Tests for exponentiality when origin and scale parameters are unknown. Technometrics 29 (1987) 471-476
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27. Stephens M.A. Tests based on regression and correlation. Chap. 5. In: D'Agostino R.B., and Stephens M.A. (Eds). Goodness-of-Fit Techniques (1986), Marcel Dekker, New York
28. Stephens M.A. Tests for the uniform distribution. Chap. 8. In: D'Agostino R.B., and Stephens M.A. (Eds). Goodness-of-Fit Techniques (1986), Marcel Dekker, New York
29. Watson G.S. Goodness-of-fit tests on a circle. Biometrika 48 (1961) 109-114