Lawstat: An R package for law, public policy and biostatistics

Journal of Statistical Software

Volumn 28, Issue 3, 2008, Pages

  Hui, Wallace ^a   Gel, Yulia R ^a   Gastwirth, Joseph L ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b GEORGE WASHINGTON UNIVERSITY   (United States)

Author keywords

Goodness of fit tests; Robust measures of location and scale; Tests for equality of variances; Tests for homogeneity of proportions; Tests for randomness; Tests for symmetry

Indexed keywords

EID: 54949139628     PISSN: 15487660     EISSN: 15487660     Source Type: Journal    
DOI: 10.18637/jss.v028.i03     Document Type: Article

References (55)

1. Agresti A (2002). Categorical Data Analysis. 2nd edition. John Wiley & Sons, New York.
2. Annaert J, Brys G, Ceuster MD (2005). "A New Large Sample Test of Univariate Symmetry: A Comparative Size-Power Study." Advances and Applications in Statistics, 5, 353-370.
3. Atkinson AC (1982). "The Simulation of Generalized Inverse Gaussian and Hyperbolic Random Variables." SIAM Journal on Scientific and Statistical Computing, 3, 502-515.
4. Barndorff-Nielsen O (1997). "Processes of Normal Inverse Gaussian Type." Finance and Stochastics, 2, 41-68.
5. Barndorff-Nielsen O, Blaesild P (1983). Hyperbolic Distributions. John Wiley & Sons, New York.
6. Bartels R (1977). "Estimation of a First Order Autoregressive Scheme with Non-Normal Stable Disturbances." Journal of Statistical Computation and Simulation, 6, 35-48.
7. Bartels R (1982). "The Rank Version of Von Neumann's Ratio Test for Randomness." Journal of the American Statistical Association, 77, 40-46.
8. Bonett DG, Seier E (2002). "A Test of Normality with High Uniform Power." Computational Statistics & Data Analysis, 40, 435-445.
9. Bonett DG, Seier E (2008). "Confidence Interval for a Coefficient of Dispersion in Nonnormal Distributions." Biometrical Journal, 48, 144-148.
10. 2." Bimetrika, 62, 243-250.
11. Brown MB, Forsythe AB (1974). "Robust Tests for Equality of Variances." Journal of the American Statistical Association, 60, 364-367.
12. Cabilio P, Masaro J (1996). "A Simple Test of Symmetry About an Unknown Median." The Canadian Journal of Statistics, 24, 349-361.
13. Carroll RJ, Schneider H (1985). "A Note on Levene's Tests for Equality of Variances." Statistics and Probability Letters, 3, 191-194.
14. Cromwell JB, Walter CL, Terraza M (1994). Univariate Tests for Time Series Models. Sage Publications Inc.
15. D'Agostino R, Stephens M (1986). Goodness-of-fit Techniques. Marcel Dekker, New York.
16. Einmahl JHJ, McKeague I (2003). "Empirical Likelihood Based Hypothesis Testing." Bernoulli, 9, 267-290.
17. El-Shaarawi A, Damsleth E (1988). "Parametric and Nonparametric Tests for Dependent Data." Water Resources Bulletin, 24, 513-519.
18. Faigman DL, Kaye DH, Saks MJ, Saunders J (2002). Science in The Law: Standards, Statistics, and Research Issues. West Group.
19. Finkelstein MO, Levin BA (1990). Statistics for Lawyers. Springer-Verlag.
20. Fox J (2002). An R and S-PLUS Companion to Applied Regression. Sage Publications, Thousand Oaks, CA.
21. Gastwirth JL (1982). "Statistical Properties of a Measure of Tax Assessment Uniformity." Journal of Statistical Planning and Inference, 6, 1-12.
22. Gastwirth JL (1984). "Statistical Methods for Analyzing Claims of Employment Discrimination." Industrial and Labor Relations Review, 1, 75-86.
23. Gastwirth JL (1988). Statistical Reasoning in Law and Public Policy. Academic Press, Boston, Toronto.
24. Gastwirth JL (2000). Statistical Science in the Courtroom. Springer-Verlag, New York.
25. Gastwirth JL (2006). "A Sixty Million Dollar Statistical Issue Arising in the Interpretation and Calculation of a Measure of Relative Disparity Mandated by Law: Zuni Public School District 89 v. US Department of Education." Law, Probability and Risk, 5, 33-61.
26. Gastwirth JL, Gel YR, Miao W (2008). "The Impact of Levene's Test of Equality of Variances on Statistical Theory and Practice." Working paper, Department of Statistics, George Washington University.
27. Gastwirth JL, Rubin H (1975). "The Behavior of Robust Estimators on Dependent Data." The Annals of Statistics, 3, 1070-1100.
28. Gel YR, Gastwirth JL (2008). "A Robust Modi cation of the Jarque-Bera Test of Normality." Economics Letters, 99, 30-32.
29. Gel YR, Miao W, Gastwirth JL (2005). "The Importance of Checking the Assumptions Underlying Statistical Analysis: Graphical Methods for Assessing Normality." Jurimetrics, 46, 3-29.
30. Gel YR, Miao W, Gastwirth JL (2007). "Robust Directed Tests of Normality Against Heavy Tailed Alternatives." Computational Statistic & Data Analysis, 51, 2734-2746.
31. Hall DB, Woolson RF, Clarke WR, Jones MF (1999). Cochran-Mantel- Haenszel Techniques: Applications Involving Epidemiologic Survey Data. John Wiley & Sons, New York.
32. Hall P, Welsh AH (1985). "Limit Theorems for the Median Deviation." Annals of the Institute of Statistical Mathematics, 37, 27-36.
33. James O (2007). "Breaking Free of Chevron's Constraints: Zuni Public School District et al. v. US Department of Justice." University of Wisconsin, Legal Studies Research Paper No. 1042.
34. Jarque C, Bera A (1980). "Efficient Tests for Normality, Homoscedasticity and Serial Independence of Regression Residuals." Economics Letters, 6, 255-259.
35. Keller-McNulty S, McNulty M (1987). "The Independent Pairs Assumption in Hypothesis Tests Based on Rank Correlation Coefficients." The American Statistician, 41, 40-41.
36. Komsta L, Novomestky F (2007). moments: Moments, Cumulants, Skewness, Kurtosis and Related Tests. R package version 0.11, URL http://CRAN.R-project.org/package=moments.
37. Levene H (1960). Robust Tests for Equality of Variances. Stanford University Press, Palo Alto.
38. Miao W, Gel YR, Gastwirth JL (2006). "A New Test of Symmetry About an Unknown Median." In A Hsiung, CH Zhang, Z Ying (eds.), "Random Walk, Sequential Analysis and Related Topics - A Festschrift in Honor of Yuan-Shih Chow,"World Scientific.
39. Miller RG (1968). "Jackning Variances." The Annals of Mathematical Statistics, 39, 567-582.
40. Mira A (1999). "Distribution-Free Test for Symmetry Based on Bonferroni's Measure." Journal of Applied Statistics, 26, 959-972.
41. Moore DS (1982). "The Effect of Dependence on Chi Squared Tests of Fit." The Annals of Statistics, 10, 1163-1171.
42. Neuhauser M, Hothorn LA (2000). "Parametric Location-Scale and Scale Trend Tests Based on Levene's Transformation." Computational Statistics & Data Analysis, 33, 189-200.
43. Poitras G (2005). "More on the Correct Use of Omnibus Tests of Normality." Economics Letters, 90, 304-309.
44. R Development Core Team (2007). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org.
45. Serfling RJ (1968). "Contributions to Central Limit Theory for Dependent Variables." The Annals of Mathematical Statistics, 39, 1158-1175.
46. Shapiro S, Wilk M (1965). "An Analysis of Variance Test for Normality (Complete Samples)." Biometrika, 52, 591-611.
47. SPSS Inc (2006). SPSS for Windows, Release 15. SPSS Inc., Chicago, IL. URL http://www.spss.com/.
48. Thadewald T, Buning H (2006). "Jarque-Bera Test and its Competitors for Testing Normality - A Power Comparison." Journal of Applied Statistics, 34, 87-105.
49. Trapletti A, Hornik K (2007). tseries: Time Series Analysis and Computational Finance. R package version 0.10-11., URL http://CRAN.R-project.org/package=tseries.
50. Wald A, Wolfovitz J (1943). "The Exact Test for Ramdomess in the Nonparametric Case Based on Serial Correlation." The Annals of Mathematical Statistics, 14, 378-388.
51. Wolff SS, Thomas JB, Gastwirth JL (1967). "The Effect of Autoregressive Dependence on a Nonparametric Test." Professional Group on Information Theory, 13, 311-313.
52. Wuertz D (2007). fBasics: Rmetrics - Markets and Basic Statistics. R package version 260.72, URL http://CRAN.R-project.org/package= fBasics.
53. Zeileis A, Hothorn T (2002). "Diagnostic Checking in Regression Relationships." R News, 2(3), 7-10. URL http://CRAN.R- project.org/doc/Rnews/.
54. Zeisel H, Kaye D (1997). Prove It with Figures: Empirical Methods in Law and Litigation. Springer-Verlag.
55. Zuni (2002). "Zuni Public School District et al. v. State of New Mexico et al. Case No. CV98-14-22." Eleventh Judical District Court. Report of the Special Master, January 14, 2002.