Apportioned into four regional tournaments

Reference no: EM131087526

The NCAA basketball tournament begins with 64 teams that are apportioned into four regional tournaments, each involving 16 teams. The 16 teams in each region are then ranked (seeded) from 1 to 16. During the 12-year period from 1991 to 2002, the top-ranked team

won its regional tournament 22 times, the second-ranked team won 10 times, the third-ranked team won 5 times, and the remaining 11 regional tournaments were won by teams ranked lower than 3. Let Pij denote the probability that the team ranked i in its region is victorious in its game against the team ranked j. Once the Pij's are available, it is possible to compute the probability that any particular seed wins its regional tournament (a complicated calculation because the number of outcomes in the sample space is quite large). The paper "Probability Models for the NCAA Regional Basketball Tournaments" (American Statistician, 1991: 35-38) proposed several different models for the

Based on this, P(seed # 1 wins) = .27477, P(seed #2 wins) = .20834, and P(seed # 3 wins) = .15429. Does this model appear to provide a good fit to the data

b. A more sophisticated model has game probabilities 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.

Reference no: EM131087526

Questions Cloud

Explore how the profit rate changes : explore how the profit rate changes.

Calculate the number of milligram : The absorbance was found to be 0.30. Using your calibration curve, calculate the number of milligram of Cu2+ in 1.0L of wastewater.

Create a file that can be used with big memory : create a file that can be used with big memory

Create a query that finds all of the history majors : Create a query that finds all of the History majors with a GPA greater than or equl to 3.5. Include in this query the following fields in the given order: last name, first name, major, & GPA.

Apportioned into four regional tournaments : The NCAA basketball tournament begins with 64 teams that are apportioned into four regional tournaments, each involving 16 teams. The 16 teams in each region are then ranked (seeded) from 1 to 16. During the 12-year period from 1991 to 2002, the ..

Conjugate acid of a strong base : Considering how the conjugate base of a strong acid has no measurable strength, does that mean that the conjugate acid of a strong base has no measurable strength as well?

The proportion of successes in a particular population : Let p1 denote the proportion of successes in a particular population. The test statistic value in Chapter 8 for test

Write down a system of two first order ode : Math 164 - Quiz two State carefully a theorem that guarantees that Newton's method will converge to a zero of a real valued function of one real variable and write down a system of two first order ODE that has precisely two equilibrium solutions.

Impact of item price removal on grocery shopping behavior : Many shoppers have expressed unhappiness because grocery stores have stopped putting prices on individual grocery items. The article "The Impact of Item Price Removal on Grocery Shopping Behavior" (J. of Marketing, 1980: 73-93) reports on a study ..

User Account

All Pages