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Original Articles

Interval Estimation for the Difference of Two Independent Variances

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Pages 744-758 | Received 04 Mar 2010, Accepted 30 Dec 2010, Published online: 16 Mar 2011

References

  • Bell , K. J. L. , Irwig , L. , Craig , J. C. , Macaskill , P. ( 2008 ). Use of randomized trials to decide when to monitor response to new treatment . BMJ 336 : 361 – 365 .
  • Bonett , D. G. ( 2006a ). Confidence interval for a ratio of variances in bivariate nonnormal distributions . Journal of Statistical Computation and Simulation 76 : 637 – 644 .
  • Bonett , D. G. ( 2006b ). Robust confidence interval for a ratio of standard deviations . Applied Psychological Measurement 30 : 432 – 439 .
  • Bonett , D. G. , Seier , E. ( 2003 ). Confidence intervals for mean absolute deviations . American Statistician 57 : 233 – 236 .
  • Box , G. E. P. ( 1953 ). Non-normality and tests on variances . Biometrika 40 : 318 – 335 .
  • Brown , M. B. , Forsythe , A. B. ( 1974 ). Robust tests for the equality of variances . Journal of the American Statistical Association 69 : 364 – 367 .
  • Bryk , A. S. , Raudenbush , S. W. ( 1988 ). Heterogeneity of variance in experimental studies: a challenge to conventional interpretations . Psychological Bulletin 104 : 396 – 404 .
  • Cohen , J. ( 1988 ). Statistical Power Analysis for the Behavioral Sciences. , 2nd ed. Hillsdale , NJ : L. Erlbaum Associates .
  • Conover , W. J. , Johnson , M. E. , Johnson , M. M. ( 1981 ). A comparative study of tests for homogeneity of variances, with applications to the outer continental shelf bidding data . Technometrics 23 : 351 – 361 .
  • Dalén , J. ( 1987 ). Algebraic bounds on standardized sample moments . Statistics and Probability Letters 5 : 329 – 331 .
  • Efron , B. , Tibshirani , R. ( 1993 ). An Introduction to the Bootstrap . New York : Chapman & Hall .
  • Glasziou , P. , Aronson , J. K. ( 2008 ). An introduction to monitoring therapeutic interventions in clinical practice . In: Glasziou , P. , Aronson , J. K. , Irwig, L., eds. Malden , MA ; Evidence-Based Medical Monitoring: From Principles to Practice . Oxford : BMJ Books .
  • Glasziou , P. P. , Irwig , L. , Heritier , S. , Simes , R. J. , Tonkin , A. ( 2008 ). Monitoring cholesterol levels: measurement error or true change? Annals of Internal Medicine 148 : 656 – 661 .
  • Grissom , R. J. ( 2000 ). Heterogeneity of variance in clinical data . Journal of Consulting and Clinical Psychology 68 : 155 – 165 .
  • Johnson , N. L. , Kotz , S. ( 1970 ). Distributions in Statistics II: Continuous Univariate Distributions . New York : Wiley .
  • Johnson , N. L. , Kotz , S. , Balakrishnan , N. ( 1994 ). Continuous Univariate Distributions. Volume I. , 2nd ed. New York : Wiley .
  • Levene , H. ( 1960 ). Robust tests for equality of variances . In: Olkin , I. , Ghurye , S. G. , Hoeffding , W. , Madow , W. G. , Mann , H. B. , eds. Contributions to Probability and Statistics. Essays in Honour of Harold Hotelling . Stanford , CA : Stanford University Press .
  • LIPID Study Group. ( 1998 ). Prevention of cardiovascular events and death with pravastatin in patients with coronary heart disease and a broad range of initial cholesterol levels . New England Journal of Medicine 339 : 1349 – 1357 .
  • Panik , M. J. ( 2005 ). Advanced Statistics from an Elementary Point of View . Amsterdam : Elsevier .
  • Pearson , E. S. ( 1931 ). The analysis of variance in cases of non normal variation . Biometrika 23 : 114 – 133 .
  • Royston , P. ( 1992 ). Which measures of skewness and kurtosis are best? Statistics in Medicine 11 : 333 – 343 .
  • Shoemaker , L. H. ( 2003 ). Fixing the F-test for equal variances . American Statistician 57 : 105 – 114 .

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