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Ordinal Data

Ordinal Data. Sarah Medland. What about more than 2 categories?. Very similar We create a matrix containing the 1 st threshold and the displacements between subsequent matrices We then add the 1 st threshold and the displacement to obtain the subsequent thresholds. 2.2. -1. 1.2. 3.

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Ordinal Data

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  1. Ordinal Data Sarah Medland

  2. What about more than 2 categories? • Very similar • We create a matrix containing the 1st threshold and the displacements between subsequent matrices • We then add the 1st threshold and the displacement to obtain the subsequent thresholds

  3. 2.2 -1 1.2 3 -3 0 Mx Threshold Specification: 3+ Cat. Threshold matrix: T Full 2 2 Free Twin 1 Twin 2 1st threshold increment

  4. 2.2 -1 1.2 3 -3 0 Mx Threshold Specification: 3+ Cat. Threshold matrix: T Full 2 2 Free Twin 1 Twin 2 1st threshold increment MxAlgebraL%*%T

  5. 2.2 -1 1.2 3 -3 0 Mx Threshold Specification: 3+ Cat. Threshold matrix: T Full 2 2 Free Twin 1 Twin 2 1st threshold increment MxAlgebraL%*%T 2nd threshold

  6. Check the xlsspreadsheet…

  7. Two approaches to the liability threshold model • Solution? • Traditional • Maps data to a standard normal distribution • Total variance constrained to be 1 • Alternate • Fixes an alternate parameter • Binary or Ordinal data fix E • Ordinal data fix 1st two thresholds (aka invariant threshold approach) • Estimate the remaining parameters

  8. Lisbon Castle

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