Parametric ANCOVA vs. Rank Transform ANCOVA when Assumptions of Conditional Normality and Homoscedasticity Are Violated.

Keywords

Homoscedasticity, Analysis of covariance, Statistics, Mathematics, Normality

References

• Analysis of covariance using the rank transformation.W. J. Conover, Ronald L. Iman — 1982
• Robustness of the T Test: A Guide for Researchers on Effect of Violations of AssumptionsLarry L. Havlicek, Nancy L. Peterson — 1974
• A method for simulating non-normal distributionsAllen I. Fleishman — 1978
• Analysis of Covariance: A Delicate Instrument1Janet D. Elashoff — 1969
• Consequences of Failure to Meet Assumptions Underlying the Fixed Effects Analyses of Variance and CovarianceGene V. Glass, Percy D. Peckham, James R. Sanders — 1972
• Relation between the shape of population distribution and the robustness of four simple test statisticsE. S. Pearson, N. W. Please — 1975

Cited by

• Type I Error Probabilities and Power of the Rank and Parametric Ancova ProceduresSamuel L. Seaman, James Algina, Stephen Olejnik — 1985
• Small sample properties of the multiple rank F-test with lagged dependent variablesJames M. Holmes, Patricia A. Hutton — 1990
• A Functional-Form-Free Test of the Research and Development/ Firm Size RelationshipJames M. Holmes, Patricia A. Hutton, Edward P. Weber — 1991
• A Review of Nonparametric Alternatives To Analysis of CovarianceStephen Olejnik, James Algina — 1985
• Environmental Fate of Silver Nanoparticles in Boreal Lake Ecosystems.Lindsay M. Furtado, Beth C. Norman, Marguerite A. Xenopoulos — 2015
• Impaired central coherence in patients with anorexia nervosa.Sayo Hamatani, Masahito Tomotake, Tomoya Takeda — 2018
• Biophysically Informed Imaging Acquisition of Plant Water StatusDaniel P. Beverly, Carmela R. Guadagno, B. E. Ewers — 2020
• Bayesian Predictions of Bark Beetle Attack and Mortality of Three Conifer Species During Epidemic and Endemic Population StagesMario Bretfeld, H. N. Speckman, Daniel P. Beverly — 2021
• External Collaboration Results in Student Learning Gains and Positive STEM Attitudes in CUREsKevin P. Callahan, Celeste Peterson, Betsy M. Martínez-Vaz — 2022

Related papers

• Type I Error Probabilities and Power of the Rank and Parametric Ancova ProceduresSamuel L. Seaman, James Algina, Stephen Olejnik — 1985
• Parametric ANCOVA and the Rank Transform ANCOVA When the Data are Conditionally Non-Normal and HeteroscedasticStephen Olejnik, James Algina — 1984
• Rank repeated measures analysis of covarianceChunpeng Fan, Donghui Zhang — 2017
• A Monte Carlo Study of Analysis of Covariance Under Violations of the Assumptions of Normality and Equal Regression SlopesKenneth J. Levy — 1980
• Comparison of the Performance of Nonparametric and Parametric MANOVA Test Statistics when Assumptions Are ViolatedHolmes Finch — 2005
• Testing in nonparametric ANCOVA model based on ridit reliability functionalDebajit Chatterjee, Uttam Bandyopadhyay — 2019
• Nonparametric Statistical Methods Using RJohn Kloke, Joseph W. McKean — 2014
• Comparison of Rank Analysis of Covariance and Nonparametric Randomized Blocks Analysis.Andrew C. Porter, Maryellen McSweeney — 1971
• Comparison of Three Common Experimental Designs to Improve Statistical Power When Data Violate Parametric Assumptions.Andrew C. Porter, Maryellen McSweeney — 1974