- Alexander , R. A. and DeShon , R. P. 1994 . The eþect of error variance heterogeneity on the power of tests for regression slope diþerence . Psychological Bulletin , 115 : 308 – 314 .
- Alexander , R. A. and Govern , D. M. 1994 . A new and simpler approximation and ANOVA under variance heterogeneity . Journal of Educational Statistics , 19 : 91 – 101 .
- Bradley , J. V. 1978 . Robustness? . British Journal of Mathematical Statistics and Psychology , 31 : 144 – 152 .
- DeShon , R. P. and Alexander , R. A. 1996 . Alternative procedures for testing regression slope homogeneity when group error variances are unequal . Psychological Methods , 1 : 261 – 277 .
- Dretzke , B. J. , Levin , J. R. and Serlin , R. C. 1982 . Testing for regression homogeneity under variance heterogeneity . Psychological Bulletin , 91 : 376 – 383 .
- Efron , B. and Tibshirani , R. 1993 . An Introduction to the Bootstrap , New York : Chapman & Hall .
- Glass , G. V. , Peckham , P. D. and Sanders , J. R. 1972 . Consequences of failure to meet assumptions underlying the fixed eþects analysis of variance and covariance . Review of Educational Research , 42 : 237 – 288 .
- Guo , J. H. 1996 . Distribution-free test for slope in linear regression model with replications . Communications in Statistics-- Theory and Methods , 25 : 2069 – 2078 .
- Hill , G. W. 1970 . Algorithm 395: Student's t-distribution . Communications of the ACM , 13 : 619 – 620 .
- Hoaglin , D. C. 1985 . “ Summarizing shape numerically: the g-and-h distributions ” . In Exploring Data Tables, Trends, and Shapes , Edited by: Hoaglin , D. C. , Mosteller , F. and Tukey , J. W. New York : Wiley .
- Hollander , M. and Wolfe , D. A. 1973 . Nonparametric Statistical Methods , New York : Wiley .
- James , G. S. 1951 . The comparison of several groups of observations when the ratio of the population variances are unknown . Biometrika , 38 : 324 – 329 .
- Johnson , N. J. 1978 . Modified t tests and confidence intervals for asymmetrical populations . Journal of the American Statistical Association , 73 : 536 – 544 .
- Keselman , H. J. , Lix , L. M. and Kowalchuk , R. K. 1998 . Multiple comparison procedures for trimmed means . Psychological Methods , 3 : 123 – 141 .
- Koenker , R. and Bassett , G. 1978 . Regression quantiles . Econometrica , 46 : 33 – 50 .
- Lix , L. M. and Keselman , H. J. 1998 . To trim or not to trim: tests of location equality under heteroscedasticity and nonnormality . Educational and Psychological Measurement , 58 : 409 – 429 .
- Luh , W. M. and Guo , J. H. 1999 . A powerful transformation trimmed mean method for one-way fixed eþects ANOVA model under non-normality and inequality of variances . British Journal of Mathematical and Statistical Psychology , 52 : 303 – 320 . Accepted by
- Martinez , J. and Iglewicz , B. 1984 . Some properties of the Tukey g and h family of distributions . Communications in Statistics-- Theory and Methods , 13 : 353 – 369 .
- Micceri , T. 1989 . The unicorn, the normal curve, and other improbable creatures . Psychological Bulletin , 105 : 156 – 166 .
- Nanayakkara , N. and Cressie , N. 1992 . “ Robustness to unequal scale and other departures from the classical linear model ” . In Directions in Robust Statistics and Diagnostics, Part II , Edited by: Stahel , W. and Weisberg , S. New York : Springer-Verlag .
- Olejnik , S. F. and Algina , J. 1987 . An analysis of statistical power for parametric ANCOVA and rank transform ANCOVA . Communications in Statistics-- Theory and Methods , 16 : 1923 – 1949 .
- Patel , K. R. , Mudholkar , G. S. and Fernando , J. L. I. 1988 . Student's t approximations for three simple robust estimators . Journal of the American Statistical Association , 83 : 1203 – 1211 .
- Rosenberger , J. L. and Gasko , M. 1983 . “ Comparing location estimators: trimmed means, medians, and trimean ” . In Understanding Robust and Exploratory Data Analysis , Edited by: Hoaglin , D. , Mosteller , F. and Tukey , J. 297 – 336 . New York : Wiley .
- Ruppert , D. and Carrol , R. J. 1980 . Trimmed least squares estimation in the linear model . Journal of the American Statistical Association , 75 : 828 – 838 .
- SAS Institute, Inc. 1989 . SAS Basic Software, Version 6 , Cary, NC : SAS .
- Smit , C. F. 1979 . An empirical comparison of several test for parallelism of regression lines . Communications in Statistics-- Simulation and Computation , 8 : 61 – 74 .
- Staudte , R. G. and Sheather , S. J. 1990 . Robust Estimation and Testing , New York : Wiley .
- Stine , R. 1989 . An introduction to bootstrap methods . Sociological Methods and Research , 18 : 243 – 291 .
- Sutton , C. D. 1993 . Computer-intensive methods for tests about the mean of an asymmetrical distribution . Journal of the American Statistical Association , 88 : 802 – 810 .
- Tukey , J. W. and McLaughlin , D. H. 1963 . Less vulnerable confidence and significance procedures for location based on a single sample: trimming/Winsorization I . Sankhya: The Indian Journal of Statistics: Series A , 25 : 331 – 352 .
- Welch , B. L. 1951 . On the comparison of several mean values: an alternative approach . Biometrika , 38 : 330 – 336 .
- Welsh , A. H. 1987 . The trimmed mean in the linear model . The Annals of Statistics , 15 : 20 – 36 .
- Wilcox , R. R. 1994a . Computing confidence intervals for the slope of the biweight midregression and Winsorized regression lines . British Journal of Mathematical and Statistical Psychology , 47 : 355 – 372 .
- Wilcox , R. R. 1994b . A one-way random eþects model for trimmed means . Psychometrika , 59 : 289 – 306 .
- Wilcox , R. R. 1996a . A review of some recent developments in robust regression . British Journal of Mathematical and Statistical Psychology , 49 : 253 – 274 .
- Wilcox , R. R. 1996b . Statistics for the Social Science , San Diego : Academic Press .
- Wilcox , R. R. 1997a . Introduction to Robust Estimation and Hypothesis Testing , San Diego : Academic Press .
- Wilcox , R. R. 1997b . A bootstrap modification of the Alexander-Govern ANOVA method, plus comments on comparing trimmed means . Educational and Psychological Measurement , 57 : 655 – 665 .
- Yuen , K. K. and Dixon , W. J. 1973 . The approximate behaviour and performance of the two-sample trimmed t . Biometrika , 60 : 369 – 374 .
Approximate transformation trimmed mean methods to the test of simple linear regression slope equality
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.