References - Basic Statistics
 

[1]    S.F. Arnold (1990). Mathematical Statistics. Prentice-Hall.

[2]    V. Barnett and T. Lewis (1994). Outliers in Statistical Data, John Wiley & Sons.

[3]    D.G. Bonett (2006). "Approximate Confidence Interval for Standard Deviation of Nonnormal Distributions," Computational Statistics & Data Analysis, 50, 775-782

[4]    D.G. Bonett (2006). "Robust Confidence Intervals for a Ratio of Standard Deviations," Applied Psychological Measurements, 30, 432-439.

[5]    M.B. Brown and A.B. Forsythe (1974). "Robust Tests for the Equality of Variances," Journal of the American Statistical Association, 69, 364-367.

[6]    G. Casella and R.L. Berger (1990). Statistical Inference, Duxbury Press, p. 421.

[7]    R.B. D'Agostino and M.A. Stephens, Eds. (1986). Goodness-of-Fit Techniques, Marcel Dekker.

[8]    H.A. David (1970). Order Statics, John Wiley & Sons.

[9]    W.J. Dixon (1950). "Analysis of Extreme Values," Annals of Mathematical Statistics, 21(4), 488–506.

[10]  W.J. Dixon (1951). "Ratios Involving Extreme Values," Annals of Mathematical Statistics, 22(1), 68–78.

[11]  W.J. Dixon (1953). "Processing Data for Outliers," Biometrics, 9(1) 74–89.

[12]  J.J. Filliben (1975). "The Probability Plot Correlation Coefficient Test for Normality," Technometrics, 17, 111.

[13]  G.H. Golub and J. H. Welch (1969). "Calculation of Gauss Quadrature Rules," Mathematics of Computations, Vol. 23 No. 106, pages 221 – 230+s1–s10.

[14]  F.E. Grubbs (1950). "Sample Criteria for Testing Outlying Observations," Annals of Mathematical Statistics, 21, 27–58.

[15]  F.E. Grubbs (1969). "Procedure for Detecting Outlying Observations in Samples," Technometrics, Vol. 11, No. 1, pages 1-21.

[16]  F.E. Grubbs and G. Beck (1972). "Extension of Sample Sizes and Percentage Points for Significance Tests of Outlying Observations," Technometrics, Vol. 14, No. 4, pages 847-854.

[17]  T.P. Hettmansperger and S.J. Sheather (1986). "Confidence Intervals Based on Interpolated Order Statistics," Statistics and Probability Letters, 4, 75-79.

[18]  D.N. Joanes and C.A. Gill (1998). Comparing Measures of Sample Skewness and Kurtosis," The Statistician, Vol 47, 183-189.

[19]  N.L. Johnson and S. Kotz (1969). Discrete Distributions, John Wiley & Sons.

[20]  E. P. King (1953). "On Some Procedures for the Rejection of Suspected Data,” Journal of the American Statistical Association, Vol. 48, No. 263, pages 531-533.

[21]  S. Kotz and N.L. Johnson (1988). Encyclopedia of Statistical Sciences Volume 8. John Wiley and Sons. pp 271-278.

[22]  H. Levene (1960). Contributions to Probability and Statistics, Stanford University Press.

[23]  H.W. Lilliefore (1967). "On the Kolmogorov-Smirnov Test for Normality with Mean and Variance Unknown," Journal of the American Statistical Association, 62, 399-402.

[24]  G. C. McBane (2006). "Programs to Compute Distribution Functions and Critical Values for Extreme Value Ratios for Outlier Detection," Journal of Statistical Software, Vol. 16, No. 3, pages 1-9.

[25]  D.B. Rorabacher (1991). "Statistical Treatment for Rejection of Deviant Values: Critical Values of Dixon Q Parameter and Related Subrange Ratios at the 95 percent Confidence Level,” Analytic Chemistry, 83, 2, pages 139-146.

[26]  T.A. Ryan, Jr. and B.L. Joiner (1976). "Normal Probability Plots and Tests for Normality," Technical Report, Statistics Department, The Pennsylvania State University. (Available from Minitab Inc.)

[27]  S.S. Shapiro and R.S. Francia (1972). "An Approximate Analysis of Variance Test for Normality," Journal of the American Statistical Association,  67, 215-216.

[28]  S.S. Shapiro and M.B. Wilk. (1965). "An Analysis of Variance Test for Normality (Complete Samples)," Biometrika, 52, 591.

[29]  G.L. Tietjen and R.H. Moore (1972). "Some Grubbs-type statistics for the detection of several outliers," Technometrics, Vol.14, No. 3, 583–597.

Additional Resources

[30]  A white paper with simulations and other information about the Bonett's Method is available from our website at www.minitab.com.