Directory A Background Introduction 2 Two Model Overview 2 Three Model Algorithm 3 Step1 of the major competition award 3 STEP2 Data preprocessing 4 Step 3 Construction weighted matrix 4 STEP4 Computing positive ideal and negative ideal solution 4 Step5 Calculating the distance between the schemes to the positive and negative ideal solutions 4 Step6 Calculate and sort the comprehensive indicator values for each scheme 5 Three Model Solving 5 Four Reference 7 Five Algorithm Code 8 A Background introduction This data set is from the United States http://www.ncaa.org/ website, complete with the data in the attachment. We can get some results by mining these data. An ideal solution based on association analysis using the relationship between the major indicators, using a specific algorithm to process the data and finally get a sort value to obtain the ranking of coaches. The specific algorithm code is shown in the appendix. We should select more indicators to establish a relatively detailed evaluation model when we evaluate coaches. We have chosen the number of years to teach, the number of participants, the winning rate and major competitions such as the number of regular champions, the number of league championships, the first round of the NCAA Championship, The number of times to enter the NCCA and get NCCA The number of champions, but these major matches reflect the same level of meaning, so we combine it into an indicator and then put it with the rest 3 Indicators constitute the indicator system for the second round of evaluation. The data format is as follows: Two Model Overview (1) First use the contribution rate as the weight, will be the regular champion, the league Championship champion, theNCCA Championship, theNCCA Four,theNCCA Champion, These five indicators are combined into one indicator (named large tournament winning rate); (2) The number of years of coaching, coaching sessions, the winning rate, the winning rate of large-scale competitions, these four indicators are ranked by the ideal solution, screening out the first ten . Among them, the weights of the ideal solution are determined by the coefficient of variation method. The ideal solution consists of six steps: (1) Standardize the processing of four indicators; (2) The normalized index is weighted and summed; (3) The positive ideal and negative ideal solution are obtained respectively; (4) The distance between the data of the group and the positive ideal solution and the negative ideal solution are obtained. (5) To seek comprehensive evaluation index; (6) ranking (select top ten ); Three Model algorithm The following is the ideal solution to find the top five coaches.
Name |
Coaching Age |
General Coaching No. |
Winning |
Normalization of other factors |
Negative distance |
Positive distance |
Sort |
Mike Krzyzewski |
39 |
1277 |
0.764 |
0.1450 |
0.1516 |
0.00747 |
0.9529 |
Jim Boeheim |
38 |
1256 |
0.750 |
0.1381 |
0.1447 |
0.0110 |
0.9293 |
Dean Smith |
36 |
1133 |
0.776 |
0.1452 |
0.1500 |
0.0117 |
0.9277 |
Adolph Rupp |
41 |
1066 |
0.822 |
0.1346 |
0.1395 |
0.0151 |
0.9026 |
Lute Olson |
34 |
1061 |
0.731 |
0.1332 |
0.1376 |
0.0190 |
0.8784 |
The following is a combination of hierarchical analysis and other algorithms to find out the top 10 coaches. Table Top Ten coaches
Position |
1 |
2 |
3 |
4 |
5 |
Coach |
Mike Krzyzewski |
Jim Boeheim |
Dean Smith |
Adolph Rupp |
Lute Olson |
Comprehensive Evaluation Index |
0.9529 |
0.9293 |
0.9277 |
0.9026 |
0.8784 |
Position |
6 |
7 |
8 |
9 |
10 |
Coach |
Bob Knight |
Jim Calhoun |
Eddie Sutton |
Denny Crum |
Roy Williams |
Comprehensive Evaluation Index |
0.8775 |
0.8619 |
0.8292 |
0.8109 |
0.7771 |
Four Reference [1] Frank R. Giordano, William P. Fox, Steven b. Horton, and Maurice D. weir:a first Course in mathematical Modeling, Fou Rth Edition. [2] Matlab the Language of Technical Computing Http://www.mathworks.com/products/matlab/examples.html |