@string { jasa="J. Am. Statist. Ass."} @string { as="Appl. Statist."} @InBook{ hoaglin85b, author = "David Caster Hoaglin", title = "Using Quantiles to Study Shape", chapter = "10", crossref = "hoaglin85", publisher = "John Wiley \& Sons", year = 1985, pages = "456--458", address = "New York" } @InBook{ hoaglin85c, author = "David Caster Hoaglin", title = "Summarizing Shape Numerically: The \(g\)-and-\(h\) Distributions", chapter = "11", crossref = "hoaglin85", publisher = "John Wiley \& Sons", year = 1985, pages = "461--512", address = "New York" } @Book{ pearson76, editor = "Egon Sharpe Pearson and H. O. Hartley", title = "Biometrika Tables for Statisticians", publisher = "Biometrika Trust", year = 1976, edition = "3rd (with additions \& corrections)", address = "London" } @Book{ blom58, author = "G. Blom", title = "Statistical Estimates and Transformed Beta-variates", publisher = "John Wiley \& Sons", year = "1958", address = "New York" } @Book{ hart68, author = "J. F. Hart", title = "Computer Approximations", publisher = "John Wiley \& Sons", year = "1968", address = "New York" } @Book{ hoaglin85, author = "David Caster Hoaglin and Frederick Mosteller and John Wilder Tukey", title = "Exploring Data Tables, Trends, and Shapes", publisher = "John Wiley \& Sons", year = "1985", address = "New York" } @Manual{ johnson94, title = "{CDH}: Tests of Composite Distributional Hypotheses for the Analysis of Biological \& Environmental Data", author = "Paul Johnson", organization = "University of California at Davis", address = "1420 Lake Blvd \#29, Davis, California 95616", OPTedition = "", year = 1994, month = jan, note = "Public domain software from STATLIB" } @Manual{ brown93, title = "{CDFLIB}: Library of {FORTRAN} Routines for Cumulative Distribution Functions, Inverses, and Other Parameters", author = "Barry W. Brown and James Lovato", organization = "Department of Biomathematics, The University of Texas, M. D. Anderson Cancer Center", address = "Box 237, 1515 Holcombe Boulevard, Houston, Texas 77030", OPTedition = "", year = 1993, month = jun, note = "Public domain software from STATLIB" } @Article{ shapiro72, author = "S. S. Shapiro and M. B. Wilk", title = "An Analysis of Variance Test for the Exponential Distribution (Complete Samples)", journal = "Technometrics", year = 1972, volume = 14, number = 2, pages = "355-370" } @Article{ weisberg75, author = "Sanford Weisberg and Christopher Bingham", title = "An Approximate Analysis of Variance Test for Non-Normality Suitable for Machine Calculation", journal = "Technometrics", year = 1975, volume = 17, number = 1, pages = "133-134" } @Article{ johnson49, author = "N. L. Johnson", title = "Systems of Frequency Curves Generate by Methods of Translation", journal = "Biometrika", year = 1949, volume = 36, number = "?", pages = "149-176" } @Article{ shapiro65, author = "S. S. Shapiro and M. B. Wilk", title = "An Analysis of Variance Test for Normality (Complete Samples)", journal = "Biometrika", year = 1965, volume = 52, number = "3\&4", pages = "591-611" } @Book{ durbin73, author = "J. Durbin", title = "Distribution Theory for Tests Based on the Sample Distribution Function", publisher = "SIAM", year = 1973, series = "CBMS-NSF Regional Conference Series in Applied Mathematics", number = 9, address = "Philadelphia, PA" } @Book{ cressie91, author = "Noel A. C. Cressie", title = "Statistics for Spatial Data", publisher = "John Wiley \& Sons", year = "1991", series = "Wiley Series in Probability and Mathematical Statistics", address = "New York, NY" } @Article{ durbin59, author = "J. Durbin", title = "Tests of Serial Independence Based on the Cumulated Periodogram", journal = "Inst. Internat. Statist.", year = 1959, volume = 42, number = "", pages = "1039-1048" } @Article{ durbin69, author = "J. Durbin", title = "Tests for Serial Correlation in Regression Analysis Based on the Periodogram of Least-Squares Residuals", journal = "Biometrika", year = 1969, volume = 59, number = "", pages = "1-15" } @Article{ brunk62, author = "H. D. Brunk", title = "On the Range of the Difference Between Hypothetical Distribution Function and {P}yke's Modified Empirical Distribution Function", journal = "Ann. Math. Statist.", year = 1962, volume = 33, number = "", pages = "525-532" } @Article{ pyke59, author = "R. Pyke", title = "The Supremum and Infimum of the Poisson Process", journal = "Ann. Math. Statist.", year = 1959, volume = 30, number = "", pages = "568-576" } @Article{ royston82a, author = "J. P. Royston", title = "An Extension of Shapiro and Wilk's \(W\) Test for Normality to Large Samples", journal = as, year = 1982, volume = 31, number = 2, pages = "115-124" } @Article{ hill73, author = "I. D. Hill", title = "Algorithm AS 66: The Normal Integral", journal = as, year = 1973, volume = 22, number = "", pages = "424-427" } @Article{ wichura88, author = "M. J. Wichura", title = "Algorithm AS 241: The Percentage Points of the Normal Distribution", journal = as, year = 1988, volume = 37, number = 3, pages = "477-484" } @Article{ royston82b, author = "J. P. Royston", title = "Algorithm AS 181: The \(W\) Test for Normality", journal = as, year = 1982, volume = 31, number = 2, pages = "176-180" } @Article{ royston82c, author = "J. P. Royston", title = "Algorithm AS 177: Expected Normal Order Statistics (Exact and Approximate)", journal = as, year = 1982, volume = 31, number = 2, pages = "161-165" } @Article{ cox62, author = "D. R. Cox", title = "Further Results on Tests of Separate Families of Hypotheses", journal = "J. R. Statist. Soc. B.", year = 1962, volume = 24, number = "", pages = "406-424" } @InProceedings{ cox61, author = "D. R. Cox", title = "Tests of Separate Families of Hypotheses", volume = "1", number = "", pages = "105-123", booktitle = "Proc. 4th Berkeley Symp.", year = "1961" } @Article{ roy50, author = "A. D. Roy", title = "A Further Statistical Note on the Distribution of Individual Output", journal = "Economic J.", year = 1950, volume = 60, number = "", pages = "831-836" } @InProceedings{ kuiper60, author = "N. H. Kuiper", title = "Tests Concerning Random Points on a Circle", volume = "63", number = "", pages = "38-47", booktitle = "Proc. Koninkl. Neder. Akad. van. Wetenschappen", year = "1960" } @Book{ shapiro90, author = "Samuel S. Shapiro", title = "How to Test Normality and Other Distributional Assumptions", publisher = "Am. Soc. Qual. Control: Statistics Div.", year = "1990", volume = "3", edition = "Revised", series = "The ASQC Basic References in Quality Control: Statistical Techniques", address = "310 W. Wisconsin Ave., Milwaukee, Wisconsin 53203" } @Book{ dagostino86b, author = "Ralph B. {D'A}gostino and Michael A. Stephens", title = "Goodness-of-Fit Techniques", publisher = "Marcel Dekker, Inc", year = "1986", volume = "68", series = "Statistics: textbooks and monographs", address = "New York" } @InBook{ bowman86, author = "K. O. Bowman and L. R. Shenton", title = "Moment (\(\sqrt{b_1}, b_2\)) Techniques", chapter = "7", crossref = "dagostino86b", publisher = "Marcel Dekker, Inc.", year = 1986, editor = "Ralph B. {D'A}gostino and Michael A. Stephens", pages = "279-330", volume = "68", series = "Statistics: Textbooks and Monographs", address = "New York" } @InBook{ dagostino86, author = "Ralph B. {D'A}gostino", title = "Tests for the Normal Distribution", chapter = "9", crossref = "dagostino86b", publisher = "Marcel Dekker, Inc.", year = 1986, editor = "Ralph B. {D'A}gostino and Michael A. Stephens", pages = "367-420", volume = "68", series = "Statistics: Textbooks and Monographs", address = "New York" } @InBook{ stephens86, author = "Michael A. Stephens", title = "Tests Based on {EDF} Statistics", chapter = "4", crossref = "dagostino86b", publisher = "Marcel Dekker, Inc.", year = 1986, editor = "Ralph B. {D'A}gostino and Michael A. Stephens", pages = "97-191", volume = "68", series = "Statistics: Textbooks and Monographs", address = "New York" } @Article{ anscombe63, author = "F. J. Anscombe and J. W. Tukey", title = "The Examination and Analysis of Residuals", journal = "Technometrics", year = 1963, volume = 5, number = "", pages = "141-160" } @Article{ anderson54, author = "T. W. Anderson and D. A. Darling", title = "A Test of Goodness of Fit", journal = jasa, year = 1954, volume = 49, number = 268, pages = "765-769" } @Article{ shapiro72b, author = "S. S. Shapiro and R. S. Francia", title = "An Approximate Analysis of Variance Test for Normality", journal = jasa, year = 1972, volume = 67, number = 337, pages = "215-216" } @Article{ shapiro68, author = "S. S. Shapiro and M. B. Wilk and H. J. Chen", title = "A Comparative Study of Various Tests for Normality", journal = jasa, year = 1968, volume = 63, number = 324, pages = "1343-1372" } @Article{ kotz73, author = "Samuel Kotz", title = "Normality vs. Lognormality with Applications", journal = "Communications in Statistics", year = 1973, volume = 1, number = 2, pages = "113-132" } @Article{ weiss78, author = "Marc S. Weiss", title = "Modification of the {K}olmogorov-{S}mirnov Statistic for Use with Correlated Data", journal = jasa, year = 1978, volume = 73, number = 364, pages = "872-875" } @Article{ durbin61, author = "J. Durbin", title = "Some Methods of Constructing Exact Tests", journal = "Biometrika", year = 1961, volume = 48, number = "1\&2", pages = "41-55" } @Article{ geary47, author = "R. C. Geary", title = "The Frequency Distribution of $\sqrt{}b_1\/$ for Samples of All Sizes Drawn at Random from a Normal Population", journal = "Biometrika", year = 1947, volume = 34, number = 1, pages = "68-97" } @Article{ dagostino74, author = "Ralph B. {D'Agostino} and Bernard Rosman", title = "The Power of {G}eary's Test of Normality", journal = "Biometrika", year = 1974, volume = 61, number = 1, pages = "181-184" } @Article{ dagostino73, author = "Ralph B. {D'Agostino} and Egon Sharpe Pearson", title = "Tests for Departure from Normality. Empirical Results for the distributions of \(b_2\) and \(\sqrt{}b_1\)", journal = "Biometrika", year = 1973, volume = 60, number = 3, pages = "613-622" }