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The SAS System

The DISCRIM Procedure

Total Sample Size 7 DF Total

Variables 5 DF Within ClassesClasses 2 DF Between Classes

Number of Observations Read 7

Number of Observations Used 7

Variable

Name

F F 3

M M 4

Covariance Natural Log of the

Matrix Rank Determinant of the

Covariance Matrix

5 4.25935

The SAS System

The DISCRIM Procedure

From gender F M

F 0 532.53956

M 532.53956 0

From gender F M

F 0 36.517

M 36.517 0

Information

Squared Distance to gender

F Statistics, NDF=5, DDF=1 for

Squared Distance to gender

Class Level Information

gender Frequency

Pooled Covariance Matrix

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From gender F M

F 1 0.125

M 0.125 1

From gender F M

F 0 532.53956

M 532.53956 0

The SAS System

The DISCRIM Procedure

Canonical Discriminant Analysis

Canonical Adjusted

Correlation Canonical

Correlation

1 0.997273 0.995905

Note: The F statistic is exact.

The SAS System

The DISCRIM Procedure

Canonical Discriminant Analysis

Variable Can1

age 0.057083

shoe 0.930315

teeth -0.576552

height 0.669607

Total Canonical Structure

Generalized Squared Distance to

gender

Prob > Mahalanobis Distance for

Squared Distance to gender

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weight 0.325984

Variable Can1

age 1

shoe 1

teeth -1

height 1

weight 1

Variable Can1

age 0.00422

shoe 0.184013

teeth -0.052009

height 0.066393

weight 0.025441

The SAS System

The DISCRIM Procedure

Canonical Discriminant Analysis

Variable Can1

age -7.012138449

shoe 9.712103706

teeth 4.685636111

height 7.822667418

weight 3.672476361

Variable Can1

age -7.668955975

shoe 3.969782094

teeth 4.199539597

height 6.378630754

Canonical Coefficients

Pooled Within-Class StandardizedCanonical Coefficients

Between Canonical Structure

Pooled Within Canonical Structure

Total-Sample Standardized

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weight 3.804473225

Variable Can1

age -1.280235468

shoe 5.2542654

teeth 2.749244013

height 1.465932326

weight 0.516436134

gender Can1

F -13.18675347

M 9.8900651

The SAS System

The DISCRIM Procedure

Variable F MConstant -65995 -74519

age -467.20817 -496.75193

shoe 1860 1981

teeth 1019 1083

height 542.70188 576.53094

weight 188.3678 200.2855

The SAS System

The DISCRIM Procedure

Classification Summary for Calibration Data: WORK.INPUT

Resubstitution Summary using Linear Discriminant Function

Class Means on Canonical

Variables

Linear Discriminant Function for

gender

Raw Canonical Coefficients

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From gender F M

3 0

100 0

0 4

0 100

3 4

42.86 57.14

0.5 0.5

F M

Rate 0 0

Priors 0.5 0.5

The SAS System

The DISCRIM Procedure

Classification Summary for Calibration Data: WORK.INPUT

Cross-validation Summary using Linear Discriminant Function

From gender F M

3 0

100 0

0 4

0 100

3 4

42.86 57.14

0.5 0.5

F M

Rate 0 0

Priors 0.5 0.5

M

Total

Priors

Error Count Estimates for gender

F

M

Total

Priors

Error Count Estimates for gender

Number of Observations and Percent

Classified into gender

F

Number of Observations and Percent

Classified into gender

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The SAS System

The DISCRIM ProcedureClassification Summary for Test Data: WORK.TEST

Classification Summary using Linear Discriminant Function

Number of Observations Read 1

Number of Observations Used 1

From gender F M0 1

0 100

0 1

0 100

0.5 0.5

M Total

Rate 0 0Priors 0.5 0.5

Classified into gender

M

Total

Priors

Error Count Estimates for gender

Observation Profile for Test Data

Number of Observations and Percent

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6

51

Prior

Probability

3 0.428571 0.5

4 0.571429 0.5

Weight Proportion

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Approximate Squared

Standard Canonical

Error Correlation

0.002224 0.994553 182.585 1 1

Difference ProportionEigenvalue Cumulative

Eigenvalues of Inv(E)*H

#NAME?

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Total

3

100

4

100

7

100

Total

0

Total

3

100

4

100

7

100

Total

0

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Total1

100

1

100

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Likelihood Approximate

Ratio F Value

0.00544707 36.52 5 1

Num DF

Test of H0: The canonical correlations in the current row and all that follow

Den DF

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0.125

are zero

Pr > F

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