Non-Normal Classification Groups in Discriminant Analysis with Applications to Biodiversity Assessment: A Simulation Study  

Oleh:

Rogelio C. Golez, Jr ; Padua, Roberto N. ; Tarepe, Dennis

Jenis: Article from Proceeding
Dalam koleksi: The 14th Asia Pacific Industrial Engineering and Management Systems Conference (APIEMS), 3-6 December 2013 Cebu, Philippines, page 1-8.
Topik: discriminant analysis; median-based; biological diversity
Fulltext: 1025.pdf (366.0KB)

Isi artikel

To determine whether a marine reserved is Functional or not is now an issue for those who really understand the importance of our marine diversity. Current issues regarding the destruction of corals or the damages of some protected marine areas by human interference is one of the important issues these past days. Studying the functionality of any marine reserve in the Philippines is very important, not just understanding the issues but to really protecting our marine reserves for our better future. Modifying a new approach of assessment using median-based discriminant analysis, a simulation method is the best procedure in testing its performance. Comparing the performance of classical linear discriminant analysis (LDA) and multivariate discriminant Analysis (MDA) between this new approach median-based DA ( DAM~ ) and multivariate median-based DA ( DAMM~ ). The Total Probability of Misclassification (TPM) was calculated for two different cases to determine the performance of using classical and the modified approach. Using a population n = 30 and 100 at 1000 runs the simulation results are : Case 1, in the DA M ~ the TPM = 0.0064 (n = 30) and 0.0021 (n = 100) while in LDA the TPM = 0.0178 (n = 30) and 0.0172 (n = 100); and Case 2, DAMM~ , the average TPM = 0.0079 (n = 30) and 0.0026 (n = 100) while MDA the average TPM = 0.0106 (n = 30) and 0.0072 (n = 100). Simulation results showed that the DA M ~ and MMDA ~ both provides low TPM than the classical LDA and MDA which means that the new approach is very useful in classifying the functionality of marine reserves. Applications in the field of Biological Diversity are provided to illustrate the potential use of the new procedures for discrimination.

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