Computations using analysis of covariance

Wiley Interdisciplinary Reviews: Computational Statistics

Volumn 3, Issue 3, 2011, Pages 260-268

  Barrett, Timothy J ^a,b  

^a UNIVERSITY OF NEW BRUNSWICK   (Canada)

^b UNIVERSITY OF PRINCE EDWARD ISLAND   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYSIS OF COVARIANCES; COVARIATES; DATA SETS; GENERAL LINEAR MODELS; INDICATOR VARIABLES; MULTIPLE LINEAR REGRESSION METHOD; MULTIPLE LINEAR REGRESSION MODELS; NON-PARAMETRIC ALTERNATIVES; NON-PARAMETRIC TEST; REGRESSION SLOPE; SAMPLE SIZES; STATISTICAL SOFTWARE PACKAGES;

LINEAR REGRESSION;

ANALYSIS OF VARIANCE (ANOVA);

EID: 79953297258     PISSN: 19395108     EISSN: 19390068     Source Type: Journal    
DOI: 10.1002/wics.165     Document Type: Review

References (26)

1. Huitema BE. Analysis of Covariance and Alternatives. New York: John Wiley & Sons Inc.; 1980, 445.
2. Milliken GA, Johnson DE. Analysis of Messy Data. Volume III: Analysis of Covariance. Boca Raton, FL: Chapman & Hall/CRC; 2002, 605.
3. Fisher RA. Statistical Methods for Research Workers. 4th ed. Edinburgh, Scotland: Oliver and Boyd; 1932.
4. Underwood AJ. Experiments in Ecology. Cambridge: Univeristy Press; 1997, 504.
5. Riggs MR, Haroldson KJ, Hanson MR. Analysis of covariance models for data from observational field studies. J Wild Manage 2008, 72:34-43. doi: 10.2193/ 2007-315.
6. Barrett TJ, Tingley MA, Munkittrick KR, Lowell RB. Dealing with heterogeneous regression slopes in analysis of covariance: new methodology applied to environmental effects monitoring fish survey data. Environ Monit Assess 2010, 166:279-291. doi: 10.1007/ s10661-009-1001-y.
7. Leon AC, Portera L, Lowell K, Rheinheimer D. A strategy to evaluate a covariate by group interaction in an analysis of covariance. Psychopharmacol Bull 1998, 34:805-809.
8. Zinbarg RE, Suzuki S, Uliaszek AA, Lewis AR. Biased parameter estimates and inflated type I error rates in analysis of covariance (and analysis of partial variance) arising from unreliability: alternatives and remedial strategies. J Abnorm Psychol 2010, 119:307-319. doi: 10.1037/a0017552.
9. Gujarati D. Use of dummy variables in testing for equality between sets of coefficients in two linear regressions: a note. Am Stat 1970, 24:50-52.
10. Fox J. Applied Regression Analysis, Linear Model, and Related Models. Thousand Oaks, CA: Sage Publications, Inc.; 1997, 597.
11. García-Berthou E. On the misuse of residuals in ecology: testing regression residuals vs. the analysis of covariance. J Anim Ecol 2001, 70:708-711.
12. Lowell RB, Kilgour BW. Interpreting effluent effects on fish when the magnitude of effect changes with size or age of fish. Can Tech Rep Fish Aquat Sci 2008, 2793:82-83.
13. Quinn GP, Keough MJ. Experimental Design and Data Analysis for Biologists. Cambridge: Univeristy Press; 2002, 537.
14. Johnson PO, Neyman J. Tests of certain linear hypotheses and their application to some educational problems. Stat Res Mem 1936, 1:57-93.
15. Wilcox RR. Pairwise comparisons of j independent regression lines over a finite interval, simultaneous pairwise comparisons of their parameter, and the Johnson-Neyman procedure. Brit J Math and Stat Psy 1987, 40:80-93.
16. Myers JL, Well AD. Research Design and Statistical Analysis. Mahwah, NJ: Lawrence Erlbaum Associates; 2003, 855.
17. Olejnik SF, Algina J. A review of nonparametric alternatives to analysis of covariance. Evaluation Rev 1985, 9:51-83.
18. Quade D. Rank analysis of covariance. J Am Stat Assoc 1967, 62:1187-1200.
19. Puri ML, Sen PK. Analysis of covariance based on general rank scores. Ann Math Stat 1969, 40:610-618.
20. McSweeny M, Porter AC. Small sample properties of nonparametric index of response and rank analysis of covariance. Occasional paper No. 16, Office of Research Consultation. East Lansing, MI: State University; 1971.
21. Burnett TD, Barr DR. A non-parametric analogy of analysis for covariance. Educ Psychol Meas 1997, 37:341-348.
22. Shirley EAC. A distribution-free method for analysis of covariance based on ranked data. Appl Stat 1981, 30:158-162.
23. Conover WJ, Iman RL. Analysis of covariance using the rank transformation. Biometrics 1982, 38:715-724.
24. Rheinheimer DC, Penfield DA. The effects of type I error rate and power of the ANCOVA F Test and selected alternatives under nonnormality and variance heterogeneity. J Exp Educ 2001, 69:373-391.
25. Hamilton BL. A Monte Carlo test of robustness of parametric and nonparametric analysis of covariance against unequal regression slopes. J Am Stat Assoc 1976, 71:864-869.
26. Abunnaja SS. The robustness of parametric and non-parametric analysis of covariance against unequal regression slopes and non-normality. Presented at the meeting of the American Educational Research Association in Montreal, Canada: 1980.