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Classification and Selection for Personnel Applications Using a Data Envelopment Analysis Approach

Classification and Selection for Personnel Applications Using a Data Envelopment Analysis Approach. Donna Retzlaff-Roberts The University of Memphis Jos é Dula The University of Mississippi James Van Scotter The University of Memphis. Two Group Classification Decisions.

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Classification and Selection for Personnel Applications Using a Data Envelopment Analysis Approach

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  1. Classification and Selection for Personnel Applications Using a Data Envelopment Analysis Approach Donna Retzlaff-Roberts The University of Memphis José Dula The University of Mississippi James Van Scotter The University of Memphis

  2. Two Group Classification Decisions • There are two types of error possible • Admitting a subject who will fail • Rejecting a subject who would succeed • There can be different costs for these two error types

  3. Statistical Discriminant Analysis (SDA) • Works well when assumptions are met • Multivariate normal data • Groups have equal covariance matrices • Data sets with ordinal and binary variables are often not well suited for SDA • Unbalanced data is problematic

  4. Linear Programming methods of DA • Linear programming is non-parametric • Seems to handle unbalanced groups better • There are a number of versions of LPDA

  5. The Generic LP DA Model Min St. T unrestricted • Gives a trivial solution

  6. The Hybrid LP Discriminant Analysis Model(Glover et al., 1998; Glover, 1990) Min St. T unrestricted

  7. Data Envelopment Analysis Efficiency calculation: Max CCR DEA MODEL (Charnes, Cooper, Rhodes, 1978) Max St.

  8. The Ratio Model (Retzlaff-Roberts, 1996) Max Min St. T unrestricted

  9. DEA Ratio Model Min St. T unrestricted

  10. The DA/DEA Model Min St. T unrestricted

  11. In this study: • Looking at the various LPDA models • Data that is not well suited for SDA • Varying: • The degree of unbalance in data • The degree of non-normality • Relative misclassification costs

  12. A Good Solution?

  13. SDA with 3% in G1

  14. DEA Ratio Model with 3% in G1

  15. Total Percent Misclassified with varying percent in G1

  16. Total Percent Misclassified with varying percent in G1

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