International Journal of Current Research and Review
ISSN: 2231-2196 (Print)ISSN: 0975-5241 (Online)
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IJCRR - Vol 05 Issue 17, September, 2013

Pages: 01-09

Date of Publication: 12-Sep-2013


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COMPARISON OF CLASSIFICATION RULES FOR TWO UNIVERIATE POPULATIONS

Author: Hashimu Bulus

Category: General Sciences

Abstract:Three procedures for classifying an entity into one of the two predetermined univariate populations 1 and ?2 were derived, evaluated and compared. This paper proposes Unspecified structure of the variance, Regression Discriminant (RD) and Elongated Discriminant (ED) procedures for the classification using k repeated observations collected on each entity j at time t (t = 1,2,…, k;j = 1,2,…,ni; i = 1,2). Mean arterial pressure which is a function of systolic and diastolic blood pressures were collected sequentially in time from two sampled populations ?1(survivors) and ?2 (nonsurvivors),
of hypertensive patients admitted at the Jos University Teaching Hospital (J.U.T.H).Three techniques: re-substitution, leave \? one out and partitioning of samples are used to construct and evaluate the sample based classification rules. Probabilities of misclassification obtained from the confusion matrices produced by these techniques are used to compare the performances of these rules. The analysis reveals that the procedures compare favourably with one another and the Fisher's commonly used rule. The classification rule obtained using Elongated Discriminant procedure performs
better with lower error rates. This is followed by unspecified structure of the variance and regression discriminant procedure in that order.

Keywords:

Full Text:

INTRODUCTION
Consider the classification rule for classifying an entity into one of the two predetermined univariate normal populations ?1 and ?2 based on observations collected at a single point in time











Table 3: Probabilities of Misclassification (PM.C) for the Three Procedures (Partition of Sample Technique)
Procedures Unspecified variance Regression Discriminant Elongated Discriminant PMC 0.5333 0.5500 0.3667

CONCLUSSION
The analyses reveal that whichever technique is used to construct and evaluate the sample based classification rule, the Elongated Discriminant procedure out performs the other two, with minimum probability of misclassification. This is followed by the Unspecified Structure of the Variance and then the Regression Discriminant procedures. The Re-substitution Technique is found to be most appropriate when estimating the apparent error rate (APERA), as this gives the minimum error rate for all the procedures. When actual error rate is desired, the technique of Leave one out and partition of sample are most appropriate.

References:

1. Bulus, H (2008). A Heuristic classification for Repeated Measure. Bagale Journal of Pure and Applied Sciences, Yola. Vol. 6, pages 38-46.

2. Ching-Tsao Tu and Chien-Pai Han (1982). Discriminant Analysis Based on Binary and Continuous Variables. Journals of the American Statistical Association.Vol.77, no 377, pages 447 – 454.

3. Hand, D. J. (1989). Discrimination and Classification. John Wiley and sons, New York.

4. Lachenbruch, P. A. (1975). Discriminant Analysis. Hafner press, New York.

5. Lawoko, C.R.O. and McLachlan, G.J. (1983). Some Asymptotic Results on the Effect of Autocorrelation in the error Rate of the Sample Linear Discriminant Function. Pattern Recognition, Vol. 16, pages. 119 – 121.

6. McLahlan, G. J. (1992). Discriminant Analysis and Statistical Pattern Recognition. John Wiley and sons Inc, New York.

7. Timm, N. H. (1975). Multivariate Analysis with Applications in Education and Psychology. Brooks / Cole Publishing Company, Monterey, California.

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Awards, Research and Publication incentive Schemes by IJCRR

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One article from every issue is selected for the ‘Best Article Award’. Authors of selected ‘Best Article’ are rewarded with a certificate. IJCRR Editorial Board members select one ‘Best Article’ from the published issue based on originality, novelty, social usefulness of the work. The corresponding author of selected ‘Best Article Award’ is communicated and information of award is displayed on IJCRR’s website. Drop a mail to editor@ijcrr.com for more details.

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Best Article Award

A Study by Badritdinova MN et al. entitled "Peculiarities of a Pain in Patients with Ischemic Heart Disease in the Presence of Individual Combines of the Metabolic Syndrome" is awarded Best Article for Vol 12 issue 24
A Study by Sindhu Priya E S et al. entitled "Neuroprotective activity of Pyrazolone Derivatives Against Paraquat-induced Oxidative Stress and Locomotor Impairment in Drosophila melanogaster" is awarded Best Article for Vol 12 issue 23
A Study by Habiba Suhail et al. entitled "Effect of Majoon Murmakki in Dysmenorrhoea (Usre Tams): A Standard Controlled Clinical Study" is awarded Best Article for Vol 12 issue 22
A Study by Ghaffar UB et al. entitled "Correlation between Height and Foot Length in Saudi Population in Majmaah, Saudi Arabia" is awarded Best Article for Vol 12 issue 21
A Study by Leow Jun Xian and Siti Sarah Binti Maidin entitled "Sleep Well: Mobile Application to Address Sleeping Problems" is awarded Best Article for Vol 12 issue 20
A Study by Avijit Singh et al. entitled "Comparison of Post Operative Clinical Outcomes Between “Made in India” TTK Chitra Mechanical Heart Valve Versus St Jude Mechanical Heart Valve in Valve Replacement Surgery" is awarded Best Article for Vol 12 issue 19
A Study by Sonali Banerjee and Mary Mathews N. entitled "Exploring Quality of Life and Perceived Experiences Among Couples Undergoing Fertility Treatment in Western India: A Mixed Methodology" is awarded Best Article for Vol 12 issue 18
A Study by Jabbar Desai et al. entitled "Prevalence of Obstructive Airway Disease in Patients with Ischemic Heart Disease and Hypertension" is awarded Best Article for Vol 12 issue 17
A Study by Juna Byun et al. entitled "Study on Difference in Coronavirus-19 Related Anxiety between Face-to-face and Non-face-to-face Classes among University Students in South Korea" is awarded Best Article for Vol 12 issue 16
A Study by Sudha Ramachandra & Vinay Chavan entitled "Enhanced-Hybrid-Age Layered Population Structure (E-Hybrid-ALPS): A Genetic Algorithm with Adaptive Crossover for Molecular Docking Studies of Drug Discovery Process" is awarded Best article for Vol 12 issue 15
A Study by Varsha M. Shindhe et al. entitled "A Study on Effect of Smokeless Tobacco on Pulmonary Function Tests in Class IV Workers of USM-KLE (Universiti Sains Malaysia-Karnataka Lingayat Education Society) International Medical Programme, Belagavi" is awarded Best article of Vol 12 issue 14, July 2020
A study by Amruta Choudhary et al. entitled "Family Planning Knowledge, Attitude and Practice Among Women of Reproductive Age from Rural Area of Central India" is awarded Best Article for special issue "Modern Therapeutics Applications"
A study by Raunak Das entitled "Study of Cardiovascular Dysfunctions in Interstitial Lung Diseas epatients by Correlating the Levels of Serum NT PRO BNP and Microalbuminuria (Biomarkers of Cardiovascular Dysfunction) with Echocardiographic, Bronchoscopic and HighResolution Computed Tomography Findings of These ILD Patients" is awarded Best Article of Vol 12 issue 13 
A Study by Kannamani Ramasamy et al. entitled "COVID-19 Situation at Chennai City – Forecasting for the Better Pandemic Management" is awarded best article for  Vol 12 issue 12
A Study by Muhammet Lutfi SELCUK and Fatma COLAKOGLU entitled "Distinction of Gray and White Matter for Some Histological Staining Methods in New Zealand Rabbit's Brain" is awarded best article for  Vol 12 issue 11
A Study by Anamul Haq et al. entitled "Etiology of Abnormal Uterine Bleeding in Adolescents – Emphasis Upon Polycystic Ovarian Syndrome" is awarded best article for  Vol 12 issue 10
A Study by Arpita M. et al entitled "Estimation of Reference Interval of Serum Progesterone During Three Trimesters of Normal Pregnancy in a Tertiary Care Hospital of Kolkata" is awarded best article for  Vol 12 issue 09
A Study by Ilona Gracie De Souza & Pavan Kumar G. entitled "Effect of Releasing Myofascial Chain in Patients with Patellofemoral Pain Syndrome - A Randomized Clinical Trial" is awarded best article for  Vol 12 issue 08
A Study by Virendra Atam et. al. entitled "Clinical Profile and Short - Term Mortality Predictors in Acute Stroke with Emphasis on Stress Hyperglycemia and THRIVE Score : An Observational Study" is awarded best article for  Vol 12 issue 07
A Study by K. Krupashree et. al. entitled "Protective Effects of Picrorhizakurroa Against Fumonisin B1 Induced Hepatotoxicity in Mice" is awarded best article for issue Vol 10 issue 20
A study by Mithun K.P. et al "Larvicidal Activity of Crude Solanum Nigrum Leaf and Berries Extract Against Dengue Vector-Aedesaegypti" is awarded Best Article for Vol 10 issue 14 of IJCRR
A study by Asha Menon "Women in Child Care and Early Education: Truly Nontraditional Work" is awarded Best Article for Vol 10 issue 13
A study by Deep J. M. "Prevalence of Molar-Incisor Hypomineralization in 7-13 Years Old Children of Biratnagar, Nepal: A Cross Sectional Study" is awarded Best Article for Vol 10 issue 11 of IJCRR
A review by Chitra et al to analyse relation between Obesity and Type 2 diabetes is awarded 'Best Article' for Vol 10 issue 10 by IJCRR. 
A study by Karanpreet et al "Pregnancy Induced Hypertension: A Study on Its Multisystem Involvement" is given Best Paper Award for Vol 10 issue 09
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List of Awardees

A Study by Alkhansa Mahmoud et al. entitled "mRNA Expression of Somatostatin Receptors (1-5) in MCF7 and MDA-MB231 Breast Cancer Cells" from Vol 13 issue 06 received Emerging Researcher Award


Awardees of COVID-19 Research

Woman Researcher Award

A Study by Neha Garg et al. entitled "Optimization of the Response to nCOVID-19 Pandemic in Pregnant Women – An Urgent Appeal in Indian Scenario" published in Vol 12 issue 09

A Study by Sana Parveen and Shraddha Jain entitled "Pathophysiologic Enigma of COVID-19 Pandemic with Clinical Correlates" published in Vol 12 issue 13

A Study by Rashmi Jain et al. entitled "Current Consensus Review Article on Drugs and Biologics against nCOVID-19 – A Systematic Review" published in Vol 12 issue 09

Emerging Researcher Award

A Study by Madhan Jeyaraman et al. entitled "Vitamin-D: An Immune Shield Against nCOVID-19" published in Vol 12 issue 09

Study by Dheeraj Kumar Chopra et al. entitled "Lipid-Based Solid Dispersions of Azilsartan Medoxomil with Improved Oral Bioavailability: In Vitro and In Vivo Evaluation" published in Vol 12 issue 19


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