This study develops a statistical technique that allows comparison of objective and perceptive financial measures of the performance construct. The proposed technique provides a simple and statistically meaningful method for conversion of objective or archival financial data into scales that can be used for testing the convergent validity with corresponding perceptive measures of performance. Use of the proposed technique can enhance flexibility in application of data collected from different sources and strengthen the generalizability of the findings across studies in the strategic management literature. Empirical data of performance measures are used to demonstrate the use of the technique.
Sports provide an inexhaustible source of fascinating and challenging problems in many disciplines, including mathematics. In recent years, due to the emergence of some exceptional athletes, prediction of athletic records has received a great deal of attention. For example, mathematicians have tried to model the improvements of records over time in order to forecast future records, including ultimate records. Records set in different sports shed light on human strengths and limitations and provide data for scientific investigations, training, and treatment programs.This article reviews some common methods used for modeling and analysis of athletic performances and the effect an exceptional individual like Usain Bolt could have on the results. Methods discussed include trend analysis, tail modeling, and methods based on certain results of the theory of records. Data from a few athletic events including the men's 100m dash are used for demonstration.
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