Distribution fitting 13. Analysis of independent, multiplicative effect of factors. Application to effect of essential oils extracts from plant species on bacterial species. Application to factors of antibacterial activity of plant species

TL;DR

This paper analyzes how plant and bacteria species independently and multiplicatively influence antibacterial activity of essential oils, using distribution fitting to estimate factor diversity ratios.

Contribution

It introduces a statistical approach fitting a Negative Binomial distribution to separate plant and bacteria factor effects on antibacterial activity.

Findings

Good agreement between observations and multiplicative factor hypothesis

Estimated ratio of plant to bacteria factor diversity in antibacterial activity

Separated Gamma distributions representing different factors

Abstract

A factor effect study was conducted on a set of observations at the contingency of a series of plant species and bacteria species regarding the antibacterial activity of essential oil extracts. The study reveals a very good agreement between the observations and the hypothesis of independent and multiplicative effect of plant and bacteria species factors on the antibacterial activity. Shaping of the observable to a Negative Binomial distribution allowed the separation of two convoluted Gamma distributions in the observable further assigned to the distribution of factors. Statistics of the Gamma distribution allowed estimating the ratio between diversity of plants factors and bacteria factors in the antibacterial activity of essential oils extracts.