Direct and Indirect Effects in Dummy Variable Regression

Oyeka I. C. A.; Nwankwo Chike H.

doi:doi:10.11648/j.ajtas.20140302.13

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Direct and Indirect Effects in Dummy Variable Regression

Oyeka I. C. A., Nwankwo Chike H.

Published in American Journal of Theoretical and Applied Statistics (Volume 3, Issue 2)

Received: 3 December 2013 Published: 20 February 2014

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Abstract

This paper proposes and develops the use of the non-cummulative dummy variables of 1’s and 0’s to represent levels of parent independent variables in dummy variable multiple regression models. The regression coefficients obtained using the proposed methods are easier to interprete and clearly understand than the use of the cummulatively coded ordinal dummy variables of 1’s and 0’s that could be used for the same purpose. The proposed method also enables the simultaneous estimation of the total, absolute or overall effect of a parent independent variable as well as its direct effect through its representative dummies and its indirect effect on a given independent variable through the mediation of other parent independent variables in the model was demonstrated. The use of these procedures was illustrated with an example.

Published in	American Journal of Theoretical and Applied Statistics (Volume 3, Issue 2)
DOI	10.11648/j.ajtas.20140302.13
Page(s)	44-48
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Dummy Variables, Total Effect, Direct Effect, Indirect Effect, Parent Variables, Mediation Model

References

[1]	Oyeka I. C. A. and Nwankwo, C. H. (2012): "Use of Ordinal Dummy Variables in Regression Models". IOSR Journal of Mathematics, Vol. 2, Issue 5 (Sep – Oct 2012), pp 10 – 07.
[2]	Boyle, R. P. (1970): "Path Analysis and Ordinal Data". American Journal of Sociology, 47, 1970, 461 – 480.
[3]	Oyeka I. C. A. (1993): "Estimating Effects in Ordinal Dummy Variable Regression". STATISTICA, anno L.111, n.2 pp 262 – 268.
[4]	Neter, J., Wasserman, W. and Kutner, M. H. (1983): "Applied Linear Regression Models". Richard D. Irwin Inc, Illinois.
[5]	Wright, S. (1960): "Path Coefficients and Path Regression: Alternative to Complementary Concepts". Biometrics, Volume 16, pp 189 – 202.

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APA Style

Oyeka I. C. A., Nwankwo Chike H. (2014). Direct and Indirect Effects in Dummy Variable Regression. American Journal of Theoretical and Applied Statistics, 3(2), 44-48. https://doi.org/10.11648/j.ajtas.20140302.13

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ACS Style

Oyeka I. C. A.; Nwankwo Chike H. Direct and Indirect Effects in Dummy Variable Regression. Am. J. Theor. Appl. Stat. 2014, 3(2), 44-48. doi: 10.11648/j.ajtas.20140302.13

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AMA Style

Oyeka I. C. A., Nwankwo Chike H. Direct and Indirect Effects in Dummy Variable Regression. Am J Theor Appl Stat. 2014;3(2):44-48. doi: 10.11648/j.ajtas.20140302.13

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@article{10.11648/j.ajtas.20140302.13,
  author = {Oyeka I. C. A. and Nwankwo Chike H.},
  title = {Direct and Indirect Effects in Dummy Variable Regression},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {3},
  number = {2},
  pages = {44-48},
  doi = {10.11648/j.ajtas.20140302.13},
  url = {https://doi.org/10.11648/j.ajtas.20140302.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20140302.13},
  abstract = {This paper proposes and develops the use of the non-cummulative dummy variables of 1’s and 0’s to represent levels of parent independent variables in dummy variable multiple regression models. The regression coefficients obtained using the proposed methods are easier to interprete and clearly understand than the use of the cummulatively coded ordinal dummy variables of 1’s and 0’s that could be used for the same purpose. The proposed method also enables the simultaneous estimation of the total, absolute or overall effect of a parent independent variable as well as its direct effect through its representative dummies and its indirect effect on a given independent variable through the mediation of other parent independent variables in the model was demonstrated. The use of these procedures was illustrated with an example.},
 year = {2014}
}

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TY  - JOUR
T1  - Direct and Indirect Effects in Dummy Variable Regression
AU  - Oyeka I. C. A.
AU  - Nwankwo Chike H.
Y1  - 2014/02/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajtas.20140302.13
DO  - 10.11648/j.ajtas.20140302.13
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 44
EP  - 48
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20140302.13
AB  - This paper proposes and develops the use of the non-cummulative dummy variables of 1’s and 0’s to represent levels of parent independent variables in dummy variable multiple regression models. The regression coefficients obtained using the proposed methods are easier to interprete and clearly understand than the use of the cummulatively coded ordinal dummy variables of 1’s and 0’s that could be used for the same purpose. The proposed method also enables the simultaneous estimation of the total, absolute or overall effect of a parent independent variable as well as its direct effect through its representative dummies and its indirect effect on a given independent variable through the mediation of other parent independent variables in the model was demonstrated. The use of these procedures was illustrated with an example.
VL  - 3
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ER  -

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Author Information

Oyeka I. C. A.

Department of Statistics, Nnamdi Azikiwe University, Awka, Nigeria
Nwankwo Chike H.

Department of Statistics, Nnamdi Azikiwe University, Awka, Nigeria

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APA Style

Oyeka I. C. A., Nwankwo Chike H. (2014). Direct and Indirect Effects in Dummy Variable Regression. American Journal of Theoretical and Applied Statistics, 3(2), 44-48. https://doi.org/10.11648/j.ajtas.20140302.13

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ACS Style

Oyeka I. C. A.; Nwankwo Chike H. Direct and Indirect Effects in Dummy Variable Regression. Am. J. Theor. Appl. Stat. 2014, 3(2), 44-48. doi: 10.11648/j.ajtas.20140302.13

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AMA Style

Oyeka I. C. A., Nwankwo Chike H. Direct and Indirect Effects in Dummy Variable Regression. Am J Theor Appl Stat. 2014;3(2):44-48. doi: 10.11648/j.ajtas.20140302.13

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@article{10.11648/j.ajtas.20140302.13,
  author = {Oyeka I. C. A. and Nwankwo Chike H.},
  title = {Direct and Indirect Effects in Dummy Variable Regression},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {3},
  number = {2},
  pages = {44-48},
  doi = {10.11648/j.ajtas.20140302.13},
  url = {https://doi.org/10.11648/j.ajtas.20140302.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20140302.13},
  abstract = {This paper proposes and develops the use of the non-cummulative dummy variables of 1’s and 0’s to represent levels of parent independent variables in dummy variable multiple regression models. The regression coefficients obtained using the proposed methods are easier to interprete and clearly understand than the use of the cummulatively coded ordinal dummy variables of 1’s and 0’s that could be used for the same purpose. The proposed method also enables the simultaneous estimation of the total, absolute or overall effect of a parent independent variable as well as its direct effect through its representative dummies and its indirect effect on a given independent variable through the mediation of other parent independent variables in the model was demonstrated. The use of these procedures was illustrated with an example.},
 year = {2014}
}

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TY  - JOUR
T1  - Direct and Indirect Effects in Dummy Variable Regression
AU  - Oyeka I. C. A.
AU  - Nwankwo Chike H.
Y1  - 2014/02/20
PY  - 2014
N1  - https://doi.org/10.11648/j.ajtas.20140302.13
DO  - 10.11648/j.ajtas.20140302.13
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 44
EP  - 48
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20140302.13
AB  - This paper proposes and develops the use of the non-cummulative dummy variables of 1’s and 0’s to represent levels of parent independent variables in dummy variable multiple regression models. The regression coefficients obtained using the proposed methods are easier to interprete and clearly understand than the use of the cummulatively coded ordinal dummy variables of 1’s and 0’s that could be used for the same purpose. The proposed method also enables the simultaneous estimation of the total, absolute or overall effect of a parent independent variable as well as its direct effect through its representative dummies and its indirect effect on a given independent variable through the mediation of other parent independent variables in the model was demonstrated. The use of these procedures was illustrated with an example.
VL  - 3
IS  - 2
ER  -

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