Main Article Content

Hanaw Ahmed Amin [email protected]


Abstract

In this study both of linear regression model and analysis of variance (ANOVA) for completely randomized design (CRD) with equal replications ni were used. In fact, it can describe ANOVA method as a special case of the regression model and access to same results with dummy variables which are encoded as an indicator of (0, and 1) and then used directly for the solution of the linear system described by a linear regression. To prove and validate this fact
regression model and one-way analysis of variance (ANOVA) were applied to the field of biological experiment diets effect to the reduction on serum cholesterol level (in mg/100 ml) for 32 normal men to test whether the means of all diets are significantly different. Concluding that multiple regression analysis is similar to analysis of variance according to the equivalency of the results achieved from the two studied models. Since, the null hypothesis was accepted, there was insufficient evidence to show that the means are not equal. It can be said that the diets
studied has no an effect on the serum cholesterol level in normal males.

Downloads

Download data is not yet available.

Article Details

How to Cite
Amin, H. A. (2022). Regression Techniques for Analys is of Variance with Application to the Reduction on Serum Cholesterol Level. Tikrit Journal of Administrative and Economic Sciences, 18(57, 2), 505–519. https://doi.org/10.25130/tjaes.18.57.2.30
Section
Articles

References

Abdullahi U. Usman, Hassan S. Abdulkadir and Kabiru Tukur, 2015, Application of

Dummy Variables in Multiple Regression Analysis, Jodhpur National University,

Jodhpur, Rajasthan, India. International Journal of Recent Scientific Research Vol. 6,

Issue, 11, pp. 7440-7442, November, 2015.

David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg, 2013,

Applied Regression Analysis and Other Multivariable Methods, 2013. ISBN 10:

, Page 257.

Ivan N. Vuchkov and Lidia N Boyadjieva, 2001, Quality Improvement with Design of

Experiments A Response Surface Approach, Kluwer Academic Publishers, London,

ISBN 13: 97894009097.

Joseph L. Gastwirth, Yulia R. Gel and Weiwen Miao, 2010, The Impact of Levene’s

Test of Equality of Variances on Statistical Theory and Practice. Statistical Science

, Vol. 24, No. 3, 343-360 DOI: 10.1214/09-STS301.

John W. Tukey, 1991, Exploratory Data Analysis: Past, Present, and Future, Technical

Report No. 302 Princeton University, 408 Fine Hall, Washington Road, Princeton, NJ

-1000.

Kandethody M. Ramachandran, Chris P. Tsokos, 2021, Categorical data Analysis and

goodness-of-fit tests and applications, in Mathematical Statistics with Applications in R,

rd edition, 2021. Pages (461-490).

Karl P. Yule, G.U.; Blanchard, Norman; Lee, Alice, 1903, The Law of Ancestral

Heredity, Biometrika, 2(2): 211- 236, doi:10.1093/ biomet/2.2.211. JSTRO 2331683

Mason R. L., Gunst Richard F, Hess James L., 2003, Statistical Design and analysis of

Experiments with Applications to Engineering and Science, Second edition a John

Willy and Sons Publication, Copyright at 2003.

Norman R. Draper, Harry Smith, 2014, Applied Regression Analysis. John Wiley &

Sons, ISBN 0-471-02995-5, 3rd edition, Page (409).

Mohamed T. Abdelmoneim, 2004, Design and Analysis of Experiments. Angelo

Egyptian Bookshop, ISBN 9770520608, page 27-39.

Suazan Garavaglla, Asha Sharma, 1998, A Smart Guide to Dummy Variables: Four

Applications and A Macro. Dun and Bradstreet, Murray Hill, New Jersey 07974.

Corpus ID: 8652875.

Wayne W. Daniel, and L. Chad Cross, 2013. Biostatistics A Foundation for Analysis in

the Health Sciences, Copyright 2013. pp 305-327, and pp 490-510, John Wiley & Sons,

Inc.