A topography of free kicks in soccer

ABSTRACT

This study investigates the spatial relationship of performance variables for soccer free kicks. In order to suggest ways in which players might optimise their performance, we collected data from free kicks (<35 m to goal line) of two German Bundesliga seasons (2013/14, 2014/15) (n = 1624). In the analysis, we applied the ISO-map approach using colour gradients to visualise the mean values of a variable on a 2D-map of the pitch. Additionally, variograms were used to describe the degree of spatial dependence of the free kick variables. Results show that DENSITY, TYPE OF PLAY, PLAYERS IN WALL, DISTANCE TO WALL and RULE VIOLATION were strongly spatially dependent. Centrality and proximity to the goal increased the variables PLAYERS IN WALL, RULE VIOLATIONS and INTERRUPTION TIME, and the ratio of goals scored increased from 5.9% (central far) to 10.9% (central near). In 70.9% of the shots, players preferred a switched laterality, which did not result in a higher success rate. Furthermore, there was no statistical advantage for the defensive team when DISTANCE TO WALL was below 9.15 m or when there was a RULE VIOLATION. Crosses had a success rate (i.e., first controlled ball contact after the cross) of 20.8%. Played with natural laterality, they were 5% more successful than with switched laterality. Crosses from the right side outside the penalty box were 10% more successful than from the left side. Therefore, it might be worthwhile practising the defence of balls coming from this side.     

PPBS in higher education planning and management: Part I,an overview

Higher education in the United States and elsewhere is beset by crises: crises of public confidence, questions of continuing relevance, doubts about continuing the emphasis on doctoral instruction, and a very real financial crisis. In response, governing boards and governmental agencies are devoting increasing attention to the management of higher education. Part of this response has been a heightened interest in formal planning-programming-budgeting-systems (PPBS); in fact, several states have legislated the adoption of PPBS for higher educational planning and decision making. Similar interest has been evidenced in other countries. Therefore, it is an appropriate time to reconsider the nature and role of PPBS and its potential impact on higher education. This paper describes the salient characteristics of PPBS and traces the development of PPBS and related analytical techniques in governmental agencies and institutions of higher education. A second paper will illustrate both the concepts and the implementation of PPBS by a detailed exposition of the University of California's experience with PPBS. Finally, in a third paper we suggest an alternative view of policy analysis for educational planning which is a departure from traditional PPBS. We conclude with general observations and specific recommendations to educational managers seeking to improve their resource allocation procedures.