|
Sign In to gain access to subscriptions and/or personal tools.
|
A Monte Carlo Study of Analysis of Covariance Under Violations of the Assumptions of Normality and Equal Regression Slopes
Kenneth J. Levy
State University of New York at Buffalo
The present study indicates that ANCOVA is robust with respect to dual violations of the assumptions of equal regression slopes and normality of distributions provided that group sizes are equal. In ad dition, when regression slopes are equal, ANCOVA appears to be robust to violations of the assumption of normality whether group sizes are equal or not. In the present study ANCOVA did display disruptions of empirical significance levels when unequal regression slopes and unequal group sizes were coupled with nonnormal distri butions.
Educational and Psychological Measurement, Vol. 40, No. 4,
835-840 (1980)
DOI: 10.1177/001316448004000404

CiteULike Complore Connotea Del.icio.us Digg Reddit Technorati Twitter What's this?
This article has been cited by other articles:

|
 |

|
 |
 
M. Harwell
Summarizing Monte Carlo Results in Methodological Research: The Single-Factor, Fixed-Effects ANCOVA Case
Journal of Educational and Behavioral Statistics,
January 1, 2003;
28(1):
45 - 70.
[Abstract]
[PDF]
|
 |
|

|
 |

|
 |
 
H. J. Keselman, C. J. Huberty, L. M. Lix, S. Olejnik, R. A. Cribbie, B. Donahue, R. K. Kowalchuk, L. L. Lowman, M. D. Petoskey, J. C. Keselman, et al.
Statistical Practices of Educational Researchers: An Analysis of their ANOVA, MANOVA, and ANCOVA Analyses
Review of Educational Research,
January 1, 1998;
68(3):
350 - 386.
[Abstract]
[PDF]
|
 |
|

|
 |

|
 |
 
Y.-W. B. Wu
The Effects of Heterogeneous Regression Slopes on the Robustness of Two Test Statistics in the Analysis of Covariance
Educational and Psychological Measurement,
September 1, 1984;
44(3):
647 - 663.
[Abstract]
|
 |
|

|
 |

|
 |
 
S. F. Olejnik and J. Algina
Parametric ANCOVA and the Rank Transform ANCOVA When the Data are Conditionally Non-Normal and Heteroscedastic
Journal of Educational and Behavioral Statistics,
January 1, 1984;
9(2):
129 - 149.
[Abstract]
[PDF]
|
 |
|
|
|