Application of Discriminant Analysis: For Developing a Classification Model

Often we come across a situation where it is interesting to know as to why the two naturally occurring groups are different. For instance, after passing the school, the students can opt for continuing further studies, or they may opt for some skill-relate

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Application of Discriminant Analysis: For Developing a Classification Model

Learning Objectives After completing this chapter, you should be able to do the following: • • • • • • • •

Understand the importance of discriminant analysis in research. List down the research situation where discriminant analysis can be used. Understand the importance of assumptions used in discriminant analysis. Know the different concepts used in discriminant analysis. Understand the steps involved in using SPSS for discriminant analysis. To interpret the output obtained in discriminant analysis. Explain the procedure in developing the decision rule using discriminant model. Know to write the results of discriminant analysis in standard format.

Introduction Often we come across a situation where it is interesting to know as to why the two naturally occurring groups are different. For instance, after passing the school, the students can opt for continuing further studies, or they may opt for some skillrelated work. One may be interested to know as to what makes them to choose their course of action. In other words, it may be desired to know on what parameters these two groups may be distinct. Similarly one may like to identify the parameters which distinguish the liking of two brands of soft drink by the customers or which make the engineering and management students different. Thus, to identify the independent parameters responsible for discriminating these two groups, a statistical technique known as discriminant analysis (DA) is used. The discriminant analysis is a multivariate statistical technique used frequently in management, social sciences, and humanities research. There may be varieties of situation where this technique can play a major role in decision-making process. For instance, the government is very keen that more and more students should opt for the science stream in order to have the technological advancement in the country. J.P. Verma, Data Analysis in Management with SPSS Software, DOI 10.1007/978-81-322-0786-3_12, # Springer India 2013

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Application of Discriminant Analysis: For Developing a Classification Model

Therefore, one may investigate the factors that are responsible for class XI students to choose commerce or science stream. After identifying the parameters responsible for discriminating a science and commerce student, the decision makers may focus their attention to divert the mindset of the students to opt for science stream. Yet another application where discriminant analysis can be used is in the food industry. In launching the new food product, much of its success depends upon its taste, and, therefore, product formulation must be optimized to obtain desirable sensory quality expected by consumers. Thus, the decision maker may be interested to know the parameters that distinguish the existing similar product and new proposed product in terms of the product properties like sensory characteristics, percent of ingredients added, pricing, and contents. In this chapter, the discriminant ana