Variance Function of the Difference between Two estimated responses in regulating Blood Sugar Level in a Diabetic patient using Herbal Medicine

Abstract

In this paper response surface methodology was employed to investigate effectiveness of herbal medicine (Aqueous extract of Ganotech- from medicinal mushroom) in reducing the blood sugar level of a diabetic to acceptable level. In this setup, observations are made to investigate effectiveness for particular dosage at reducing the blood sugar level with time. The variance function comes in handy as a tool for discrimination between two points on the identified response surface. The most feasible of all the identified point of equal yield is the one in which the variance function is minimal. In this study we use the variance function of the difference two points to provide reliable advice on the range around which the dosage is desirable and time required to effectively reduce the blood sugar level to acceptable range. The analysis of the data from the experiment indicates that 46.2492 mg/dl concentration of the herbal medicine is effective in regulating blood sugar level in a diabetic within 136.1304 minutes to acceptable range