Statistics Assignment Sample: Discriminant Analysis

Problem statement:

Perform discriminant analysis on the results of measuring the length and width of iris flowers (SEPALLEN, SEPALWD, PETALLEN, PATELWD); identify the type of iris (SETOSA, VERSICOL, VIRGINIC) using Statistica software.

Data for the research:

statictcs-sample-2

As a Grouping Variable, we choose IRISTYPE.

As Independent Variables, we choose SEPPALEN, SEPALWD, PETALLEN, PETALWD.

The results of discriminant analysis:

statictcs-sample-3

Number of variables in the model = 4;

Wilks’ Lambda = 0.0234

Approximate value of the F-statistics = 199.1454

The final table of data analysis:

statictcs-sample-4-2

The separation of the three types of iris:

statictcs-sample-5

Classification functions built stepwise using the forward method:

statictcs-sample-6-2

 

Mahalanobis distance:

statictcs-sample-7-2

 

Posterior probability table:

statictcs-sample-8-2

Classification functions built using the standard method:

statictcs-sample-9

As we can see, the classification functions built using the standard method and classification functions built stepwise using the forward method are identical:

Forward method:

statictcs-sample-10

Standard method:

statictcs-sample-11

It means that our research has been done correctly.

Thanks for your attention!

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