1 - Multivariate Statistics and Mathematical Modeling

Abstract

The ability to understand multivariate statistics and mathematical modeling procedures and to use them effectively is an essential skill that scholars and practitioners in the sciences and humanities must master. Today multivariate statistics and mathematical modeling procedures are applied regularly to problems arising in the physical sciences, biological sciences, social sciences, and humanities. This chapter introduces five topics in roughly the order users encounter them in the data analysis process. It begins with a discussion on aspects of the critical, but often overlooked process of preparing data for analysis. Then it considers some preliminary steps needed to begin the interpretation of data prior to starting formal statistical analysis. Next, it discusses some of the factors to consider in selecting the best statistical technique to accomplish research objective. However, in selecting a statistical technique, it is essential that users take into account any properties of the data that may limit the applicability of the alternative statistical procedures. The chapter concludes with a discussion of critical issues to consider in interpreting the results of statistical analyses.