کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5471216 1519388 2017 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multidimensional scaling analysis of soccer dynamics
ترجمه فارسی عنوان
تجزیه و تحلیل مقیاس چند بعدی از پویایی فوتبال
کلمات کلیدی
مقیاس چند بعدی، تجسم، عملکرد بلند مدت، دینامیک ورزشی،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی
This paper studies the behavior of teams competing within soccer national leagues. The dissimilarities between teams are measured using the match results at each round and that information feeds a multidimensional scaling (MDS) algorithm for visualizing teams' performance. Data characterizing four European leagues during season 2014-2015 is adopted and processed using three distinct approaches. In the first, one dissimilarity matrix and one MDS map per round are generated. After, Procrustes analysis is applied to linearly transform the MDS charts for maximum superposition and to build one global MDS representation for the whole season. In the second approach, all data is combined into one dissimilarity matrix leading to a single global MDS chart. In the third approach, the results per round are used to generate time series for all teams. Then, the time series are compared, generating a dissimilarity matrix and the corresponding MDS map. In all cases, the points on the maps represent teams state up to a given round. The set of points corresponding to each team forms a locus representative of its performance versus time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 45, May 2017, Pages 642-652
نویسندگان
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