One Factor Analysis of Variance and Dummy Variable Regression Models

Okeh UM

One Factor Analysis of Variance and Dummy Variable Regression Models

Okeh UM * §

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Nnamdi Azikiwe University

One Factor Analysis of Variance and Dummy Variable Regression Models

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J4515

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Abstract

This paper proposes and presents a method that would enable the use of dummy variable regression techniques for the analysis of sample data appropriate for analysis with the traditional one factor analysis of variance techniques with one, equal and unequal replications per treatment combination. The proposed method, applying the extra sum of squares principle develops F ratio-test statistics for testing the significance of factor effects in analysis of variance models. The method also shows how using the extra sum of squares principle builds more parsimonious explanatory models for dependent or criterion variables of interest. In addition, unlike the traditional approach with analysis of variance models, the proposed method easily enables the simultaneous estimation of total or absolute and the so-called direct and indirect effects of independent or explanatory variables on the dependent or criterion variables. The proposed methods are illustrated with some sample data and shown to yield essentially the same results as would the one factor analysis of variance techniques when the later methods are equally applicable.

References

7 Cites in Article

Reference Format

Richard Boyle (1974). Path Analysis and Ordinal Data.
N Draper,H Smith (1966). Applied Regression Analysis.
J Neter,W Wasserman (1974). Applied Linear Statistical Models.
Richard Inc Unknown Title.
I Oyeka,C Uzuke,H Obiora-Ilouno,C Mmaduakor (2013). Ties Adjusted Two way Analysis of Variance tests with unequal observations per cell.
Ica Oyeka,U Okeh (2014). Two Factor Analysis of Variance and Dummy Variable Multiple Regression Models.
Sewall Wright (1934). The Methods of Path Coefficients.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Okeh UM. 2015. "One Factor Analysis of Variance and Dummy Variable Regression Models". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F7).

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GJSFR Volume 15 Issue F7

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Not Found

Classification

GJSFR-F Classification MSC 2010: 62J05

Submission ReceivedAugust 12, 2015
Peer Review Double Blind
Handling Editor
Accepted September 2, 2015
Published September 13, 2015

Version of record

v1.2

Issue date

September 24, 2015

Language

English

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Article Matrices

Total Score: 146

Country: Nigeria

Subject: Global Journal of Science Frontier Research

Authors: Oyeka ICA, Okeh UM (PhD/Dr. count: 0)

View Count (all-time): 407

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Total Downloads (simulated): 86

Publish Date: 2015 09, Sun

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Total Views: 1.6K

Total Downloads: 86

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