Determining the Relationship Between Heart Disease and Low Density Lipoprotein levels(LDL) in Ebonyi State by a Method of Analyzing Matched Sample Data with three Possible Responses

  • Unique Paper ID: 169385
  • PageNo: 1352-1357
  • Abstract:
  • Background -In controlled comparative study designs involving matched samples of subjects or patients often times, the response of a subject to a factor in a retrospective study or to a condition or treatment in a prospective study may be dichotomous with only two possible naturally exclusive outcomes and appropriate for analysis using the McNemar Test. This paper aims to analyze marched sample data with three possible responses. Methods-We here propose a method of analyzing matched sample data in a clinical trial with three possible outcomes or responses. The responses may be qualitative or quantitative. In assessing the statistical significance of differences existing between case-control response scores, we proposed some test statistics. Results-Given the three possible response categories, the proposed method is illustrated with some sample data. Here the results obtained shows that the proposed test statistic is rejected at the stated at 1 degree level of significance while the is accepted at 1 degree level of significance when the Stuart-Maxwell test statistic is applied to the sample data. Conclusions-The proposed test statistic and the Stuart-Maxwell test statistic indicates that the later test is likely to accept a false null hypothesis (Commit Type II Error) more frequently than the proposed test. The proposed test is likely to be more efficient and powerful than the Stuart-Maxwell test statistic.

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{169385,
        author = {Dr. Okeh, U.M and Emeji Emmanuel Ogwah},
        title = {Determining the Relationship Between Heart Disease and Low Density Lipoprotein levels(LDL) in Ebonyi State by a Method of Analyzing Matched Sample Data with three Possible Responses},
        journal = {International Journal of Innovative Research in Technology},
        year = {2024},
        volume = {11},
        number = {6},
        pages = {1352-1357},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=169385},
        abstract = {Background -In controlled comparative study designs involving matched samples of subjects or patients often times, the response of a subject to a factor in a retrospective study or to a condition or treatment in a prospective study may be dichotomous with only two possible naturally exclusive outcomes and appropriate for analysis using the McNemar Test. This paper aims to analyze marched sample data with three possible responses.
Methods-We here propose a method of analyzing matched sample data in a clinical trial with three possible outcomes or responses. The responses may be qualitative or quantitative. In assessing the statistical significance of differences existing between case-control response scores, we proposed some test statistics. 
Results-Given the three possible response categories, the proposed method is illustrated with some sample data. Here  the results obtained shows that the proposed test statistic is rejected at the   stated at 1 degree level of significance while the  is accepted at 1 degree level of significance when the Stuart-Maxwell test statistic is applied to the sample data. 
Conclusions-The proposed test statistic and the Stuart-Maxwell test statistic indicates that the later test is likely to accept a false null hypothesis (Commit Type II Error) more frequently than the proposed test. The proposed test is likely to be more efficient and powerful than the Stuart-Maxwell test statistic.},
        keywords = {Stuart-Maxwell test, case, control, clinical trial, matched sample, McNemar Test},
        month = {November},
        }

Cite This Article

U.M, D. O., & Ogwah, E. E. (2024). Determining the Relationship Between Heart Disease and Low Density Lipoprotein levels(LDL) in Ebonyi State by a Method of Analyzing Matched Sample Data with three Possible Responses. International Journal of Innovative Research in Technology (IJIRT), 11(6), 1352–1357.

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