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Industrial Statistics with Minitab by Xavier Tort-Martorell Llabres, Lluis Marco Almagro, Pere Grima Cintas

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24.5 Discriminant Analysis

The aim of cluster analysis is to group observations, or variables, into initially unknown groups of similar elements. Unlike that, discriminant analysis is applied if the group each observation belongs to is known and one is interested in knowing how the available variables affect the classification, in order to be able to classify a new observation whose variable values are known but not the group it belongs to.

We continue working with the CARS.MTW file. Now, we will use the first 150 cars to establish the number of cylinders allocation criterion as a function of the remaining variables. There are cars with 3, 4, 5, 6, 8 and 12 cylinders but to facilitate the analysis consider only those with 4, 6, and 8 cylinders.

Data > Code > Numeric to Numeric

nc24uf023.eps

Data > Subset worksheet

nc24uf024.eps

Using this new worksheet, with the cars from rows 1 to 150, perform a discriminant analysis.

Stat > Multivariate > Discriminant Analysis

nc24uf025.eps

In addition to the descriptive information on the data, in the Session Window a summary of the allocations made, the discriminant function for each group and a summary of the errors done appear.

We can use the discriminant functions to assign ...

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