Wednesday, July 29, 2009

Answers to Homework 11

Here are four lists of length n = 16. They correspond to the number of wins, the number of points scored, the number of points allowed. List 4 is List 2 – List 3. (The lists are the number of wins, the number of points scores and the number of points allowed for the teams in the NFC.)

L 1: _12 _12 _11 _10 __9 __9 __9 __9 __9 __8 __8 __7 __6 __4 __2 ____0
L 2: 427 414 391 379 416 427 361 362 375 265 463 339 419 294 232 __268
L 3: 294 329 325 333 289 426 323 265 350 296 393 381 380 392 465 __517
L 4: 133 _85 _66 _46 127 __1 _38 _97 _25 –31 _70 –42 _39 –98 –233 -249


What is the 95% threshold number for rx,y? ___.497___

What is the 99% threshold number for rx,y? ___.623___


Find rx,y for List 1 and List 2: ____.712___ Highest threshold it meets: _99%_


Find rx,y for List 1 and List 3: ____-.802____ Highest threshold it meets:_99%_


Find rx,y for List 1 and List 4: __.907____ Highest threshold it meets:_99%_



Create the ranking list for List 1 and List 4, where 1 is for the highest number and 16 is for the lowest, using the method for ranking ties taught in class.

L 1: _12 _12 11 10 __9 9 _9 _9 _9 ___8 ___8 __7 _6 __4 ___2 ___0
Rank:1.5 1.5 _3 _4 __7 7 _7 _7 _7 10.5 10.5 _12 13 _14 __15 __16
L 4: 133 _85 66 46 127 1 38 97 25 _31 __70 –42 39 –98 –233 -249
Rank:__1 __4 _6 _7 __2 11 9 _3 10 12 ____5 __13 _8 _14 __15 __16


Rank correlation number for these ranking lists: _.771__


What is the highest threshold it meets? _99%_

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