EN
Analysis of covariance by assuming a skew normal distribution for response variable
Abstract
The traditional theory of analysis of covariance (ANCOVA) is based on
normality assumption, while in many real world applications the data
violate normality and this theory is not adequate. In this paper, we
expand a model for analysis of covariance with a skew normal response
variable. The maximum likelihood estimates of the model parameters
are provided via an EM algorithm. We also developed asymptotic confidence intervals for parameters. A simulation study is performed to
assess the performance of the proposed model. The methodology is
illustrated using a real data set.
Keywords
References
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Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
December 1, 2016
Submission Date
July 13, 2015
Acceptance Date
October 25, 2015
Published in Issue
Year 2016 Volume: 45 Number: 6
APA
Fallah, A., & Goodarzi, Z. (2016). Analysis of covariance by assuming a skew normal distribution for response variable. Hacettepe Journal of Mathematics and Statistics, 45(6), 1805-1818. https://izlik.org/JA87HE75UX
AMA
1.Fallah A, Goodarzi Z. Analysis of covariance by assuming a skew normal distribution for response variable. Hacettepe Journal of Mathematics and Statistics. 2016;45(6):1805-1818. https://izlik.org/JA87HE75UX
Chicago
Fallah, Afshin, and Zahra Goodarzi. 2016. “Analysis of Covariance by Assuming a Skew Normal Distribution for Response Variable”. Hacettepe Journal of Mathematics and Statistics 45 (6): 1805-18. https://izlik.org/JA87HE75UX.
EndNote
Fallah A, Goodarzi Z (December 1, 2016) Analysis of covariance by assuming a skew normal distribution for response variable. Hacettepe Journal of Mathematics and Statistics 45 6 1805–1818.
IEEE
[1]A. Fallah and Z. Goodarzi, “Analysis of covariance by assuming a skew normal distribution for response variable”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, pp. 1805–1818, Dec. 2016, [Online]. Available: https://izlik.org/JA87HE75UX
ISNAD
Fallah, Afshin - Goodarzi, Zahra. “Analysis of Covariance by Assuming a Skew Normal Distribution for Response Variable”. Hacettepe Journal of Mathematics and Statistics 45/6 (December 1, 2016): 1805-1818. https://izlik.org/JA87HE75UX.
JAMA
1.Fallah A, Goodarzi Z. Analysis of covariance by assuming a skew normal distribution for response variable. Hacettepe Journal of Mathematics and Statistics. 2016;45:1805–1818.
MLA
Fallah, Afshin, and Zahra Goodarzi. “Analysis of Covariance by Assuming a Skew Normal Distribution for Response Variable”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, Dec. 2016, pp. 1805-18, https://izlik.org/JA87HE75UX.
Vancouver
1.Afshin Fallah, Zahra Goodarzi. Analysis of covariance by assuming a skew normal distribution for response variable. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Dec. 1;45(6):1805-18. Available from: https://izlik.org/JA87HE75UX