A Three-Way Discriminant Analysis of Ovulation Interval of Selected Women

Volume 3 - Issue 3

Matthew Chukwuma Michael¹*, Yoro Rume Elize² and Obukata Victor³

Received: September 15, 2020;   Published: September 22, 2020

DOI: 10.26717/CTBB.MS.ID.000162

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Abstract

This paper aimed at discriminating between women that ovulate in shorter time than the expected twenty-eight (28) days, those that ovulate in the expected twenty-eight (28) days and those that ovulate in longer than the universally expected twentyeight (28) days. A total of two hundred (200) women in their reproductive age interval were selected for the study. Questionnaires were used to get the relevant information relating to their ovulation interval. The factors affecting ovulation considered in the study include Age, Height, Weight, Work Time (stress), Menstrual Duration, Number of Conceptions, Number of Births and Exposure to Sun. The three-way linear discriminant function was formulated for the data. Using the formulated functions, the women were classified and it was observed that the probability of misclassification into short ovulation and normal ovulation when a woman is actually in long ovulation interval is 0.9863; the probability of misclassifying a woman into short or long ovulation interval when she is actually experiencing normal ovulation is 0.3; the probability of misclassifying a woman into long or normal ovulation when she is actually experiencing short ovulation is 1.0 and the total probability of misclassification of the discriminant function is 0.715.

Keywords:Three-way; discriminant analysis; ovulation; misclassification; multivariate; probability.

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