Consider the discriminant functions derived in Example 11.3. Normalize using (11-21) Example 11.3…

Consider the discriminant functions derived in Example 11.3. Normalize using (11-21)

Example 11.3

(Classification with two normal populations-common Σ and equal costs) This example is adapted from a study [4] concerned with the detection of hemophilia A carriers. (See also Exercise 11.32.)

To construct a procedure for detecting potential hemophilia A carriers, blood samples were assayed for two groups of women and measurements on the two variables,

Exercise 11.32

Data on hemophilia A carriers, similar to those used in Example 11.3, are listed in Table 11.8 on page 664. (See [15J.) Using these data,

(a) Investigate the assumption of bivariate normality for the two groups.

(b) Obtain the sample linear discriminant function, assuming equal prior probabilities, and estimate the error rate using the holdout procedure. .

(c) Classify the following 10 new cases using the discriminant function in Part b.

 

 

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