The NCAA basketball tournament begins with 64 teams that are apportioned into four regional tournaments, each involving
Question:
a. One model postulated Pij = .5 - λ (i-j) with λ = 1/32 (from which P16,1 = λ, P16,2 = 2λ, etc.). Based on this, P(seed # 1 wins) 5 .27477, P(seed #2 wins) 5 .20834, and P(seed # 3 wins) 5 .15429. Does this model appear to provide a good fit to the data?
b. A more sophisticated model has game probabilities Pij = .5 1 .2813625 (zi - zj), where the z's are measures of relative strengths related to standard normal percentiles [percentiles for successive highly seeded teams are closer together than is the case for teams seeded lower, and .2813625 ensures that the range of probabilities is the same as for the model in part (a)]. The resulting probabilities of seeds 1, 2, or 3 winning their regional tournaments are .45883, .18813, and .11032, respectively. Assess the fit of this model.
SPSS output for Exercise 43
Crosstabulation: AREA BY CATEGORY
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Probability And Statistics For Engineering And The Sciences
ISBN: 9781305251809
9th Edition
Authors: Jay L. Devore
Question Posted: