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Advance Statistical Method CIT 6093 ARKANSAS STATE UNIVERSITY Department of

Dr. Ahmad Syamil. Advance Statistical Method CIT 6093 ARKANSAS STATE UNIVERSITY Department of Computer & Information Technology Fall 2005. Chapter Seven. OBJECTIVES. DISCRIMINANT ANALYSIS APPLICATION TECHNICAL DESCRIPTION CANONICAL ANALYSIS CANONICAL ANALYSIS VS DISCRIMINANT ANALYSIS.

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Advance Statistical Method CIT 6093 ARKANSAS STATE UNIVERSITY Department of

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  1. Dr. Ahmad Syamil Advance Statistical Method CIT 6093 ARKANSAS STATE UNIVERSITY Department of Computer & Information Technology Fall 2005 Chapter Seven

  2. OBJECTIVES • DISCRIMINANT ANALYSIS • APPLICATION • TECHNICAL DESCRIPTION • CANONICAL ANALYSIS • CANONICAL ANALYSIS VS DISCRIMINANT ANALYSIS

  3. DISCRIMINANT ANALYSIS A Method used to Classify an Individual in One or Two or More Groups Based on a set of Measurement Examples: It could be used at the Risk of Heart Disease, Cancer, Diabetics It could be used for Prediction and Description Cont’d…

  4. DISCRIMINANT ANALYSIS Discriminant Analysis • A and B are wrongly Classified • Discriminant Function to Describe the Probability of being Classified in the Right Group Cont’d…

  5. DISCRIMINANT ANALYSIS Application of Discriminant Analysis Tools • Predict Group Membership • Visual Presentation of the Structure Cont’d…

  6. DISCRIMINANT ANALYSIS Technical Description of Discriminant Analysis • Classification Purpose • Classification Function • hk = bko + bk1X1 + bk2X2 + bk3X3 + … bkpXp Cont’d…

  7. Orthogonal Virtual Space Discriminant Space Vectors Discriminant Function DISCRIMINANT ANALYSIS Technical Description of Discriminant Analysis • Graphical Representation

  8. CANONICAL ANALYSIS A Method for demonstrating the significance and nature of the differences between two or more pre-defined groups of objects, where data is available for several variables measured on each object Cont’d…

  9. CANONICAL ANALYSIS The Basic Data Model… Y1B1 + Y2B2 + Y3B3 +...YnBn = A0 + X1A1 + X2A2 + X3A3 +...XnAn Cont’d…

  10. CANONICAL ANALYSIS Canonical Analysis VS Discriminant Analysis Discriminant function analysis is a simple case of canonical correlation. Canonical correlation has many variables on each side of the equation that may also be correlated with each other. DFA has sets of variables on each side of the equation, but on 1 side, the variables are all categorical and may not be correlated with each other

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