"Probability models for the Philippine Tennis Association tournaments" by Christina Sheryl L. Sianghio and Aileen R. Vicencio

Probability models for the Philippine Tennis Association tournaments

Date of Publication

2000

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

Five probability models namely, the Bradley and Terry Type model, Uniform-Strength Assumption model, Normal-Strength Assumption model and two logistic regression models (using a linear and non-linear function of the player's strength) were compared to determine the best model that will predict the champion in a tournament or the winner in a match of the Philippine Tennis Association (PHILTA) seeded single-elimination tournaments having a balanced structure with a (1, 4, 2, 3) draw. If the players are strictly the ones in the top four seeds, then the logistic regression model using a linear function of the player's strength was proven to be the best model for predicting the champion in the tournament whereas no model was seen appropriate for predicting a winner in a match. On the other hand, if the players are not restricted to the top four seeded players but are paired in such a way that the strongest player competes the weakest, and the second strongest competes with the second weakest, then the logistic regression model using a linear function of the player's strength is still the best one for predicting the champion in the tournament while the Uniform-Strength Assumption model is a good model for the prediction of the winner in a match.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU10033

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

[64] leaves

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