A Three-Way Discriminant Analysis of Ovulation
Interval of Selected Women
Volume 3 - Issue 3
Matthew Chukwuma Michael1*, Yoro Rume Elize2 and Obukata Victor3
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- 1Department of Mathematics and Statistics, Delta State Polytechnic, Ogwashi, Uku
- 2,3Department of Computer Science, School of Applied Sciences, Delta State Polytechnic, Ogwashi, Uku
*Corresponding author:
Matthew Chukwuma Michael, Department of Mathematics and Statistics, Delta State Polytechnic, Ogwashi-
Uku, Delta State, Nigeria
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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