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Unformatted text preview: Solutions - Homework #3 Discriminant Analysis of Fresh Water Fish Introduction We are interested in whether simple morphological measurements on fish are adequate to correctly separate 159 fish caught in Finlands lake Laengelmavesi into correct species categories. Methods For each of the seven species (bream, parkki, pike, perch, roach, smelt, and whitefish), the weight, length, height, and the width of each fish were measured. Three different length measurements are recorded: from the nose of the fish to the beginning of its tail, from the nose to the notch of its tail, and from the nose to the end of its tail. The height and width are recorded as percentages of the third length variable. The discriminant analysis was performed in SAS using weight, the three length variables, height and width. The assumption of normality was tested for weight and the first length variable using proc univariate . The assumption of equal variance was tested within the proc discrim procedure. A cross validation was performed so that both the training classification error and the predic- tion error could be estimated. This procedure is also performed within proc discrim using the crossvalidate option (see notes)....
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- Spring '08