IDENTIFICACIÓN DE OBSERVACIONES INFLUYENTES EN LA DISCRIMINACIÓN DE MUESTRAS DEL GÉNERO MINTHOSTACHYS DE CAJATAMBO Y UNCHOS

Authors

  • Doris Gómez Ticerán Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú.
  • Olga Solano Dávila Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú.
  • Víctor Osorio Vidal Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú.
  • Liliana Huamán del Pino Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú.
  • Gregoria Natividad Ramón Quispe Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú.
  • Jorge Ícaro Condado Jáuregui Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú.
  • María Enriqueta Gallardo Cabanillas Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú.
  • Yakov Mario Quinteros Gómez Museo de Historia Natural de la Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú.

DOI:

https://doi.org/10.15381/pes.v15i2.9609

Keywords:

Influential observation, linear discriminant analysis, Gender Minthostachys.

Abstract

This paper explores the possibility of identifying influential observations in discriminant analysis framework, 160 botanical specimens of the genus Minthostachys, pubescent and pubescent not collected in the province of Cajatambo department of Lima and Unchos departarment of Ancash. The evaluations of morphological variables in tho main branch of each Minthostachys being studied were: length of petiole, leaf length and width of the blade. Taxonomic and systematic studies of the samples were performed at the Laboratory of Ethnobotany and Economic Botany of the Natural History Museum and the determination of the species are held in the herbarium of the San Marcos University, using the Cronquist classification system, for Cajatambo which marked 51 plants such as non-pubescent and pubescent 49: while for Unchos ranked 40 with abundant pubescence band 20 escaca pubescence. For the 160 Minthostachys plants, eliminating one at a time, we calculated the value of the Mahalanobis distance, the probability of misclassification and the scores of the Fisher discriminant function (Campbell, 1978: Fung, 1992. 1995).

The analysis correctly discriminated 151 plants Minthostachys ie, 94.4 % of a total of 160, a value largo enough to show the effectiveness of discriminant analysis. For the full sample and removing each time one of the samples or observations, we calculated the value o the Mahalanobis Distance, the probability of misclassification, the weightings and scores of discriminant function of Fisher. Comparison of the values of the estimates, with and without the observation under evaluation, it was concluded that observations 110, 112 and 114 were identified as influential.

Author Biography

  • Jorge Ícaro Condado Jáuregui, Facultad de Ciencias Matemáticas - Universidad Nacional Mayor de San Marcos – Lima - Lima – Perú.
    Nació en Lima y obtuvo su licenciatura en Matemática en la UNMSM. Magíster en Matemática Aplicada por la Universidad Federal de Rió de Janeiro (UFRI) DEL Brasil. Ha desempeñado el cargo de Director de la Escuela de Matemática. Actualmente es docente investigador de la UNMSM.

Downloads

Published

2012-12-31

Issue

Section

Artículos

How to Cite

IDENTIFICACIÓN DE OBSERVACIONES INFLUYENTES EN LA DISCRIMINACIÓN DE MUESTRAS DEL GÉNERO MINTHOSTACHYS DE CAJATAMBO Y UNCHOS. (2012). Pesquimat, 15(2). https://doi.org/10.15381/pes.v15i2.9609