1 / 8

# Ordinal Data - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Ordinal Data' - arlais

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Ordinal Data

Sarah Medland

• 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

-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

-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

-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

Two approaches to the liability threshold model

• Solution?

• 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