**Poole, Sowell, and Spear -- 1992 Dimensionality Paper**

**Updated 25 March 2016**

The files posted on this page replicate the analysis in Poole, Sowell, and Spear (1992):

Poole, Keith T., Fallaw B. Sowell, and Stephen E. Spear. 1992. "Evaluating
Dimensionality in Spatial Voting Models." *Mathematical
and Computer Modeling*, 16: 85-101.

When the Minority Margin is equal to the classification error we computed a point mass probability
corresponding to the minority margin -- 0.025 - 0.500 -- for dimensions 2, 3, ... , 10.

The format of the Point Mass File is: 1. Minority Margin
2. Probability Projection is from a Two-Dimensional Space of Perfect Voting
3. Probability Projection is from a Three-Dimensional Space of Perfect Voting
etc.
11. Probability Projection is from a Ten-Dimensional Space of Perfect Voting

Point Mass File (Text File, 476 lines)

When the Classification error is less than the minority margin, the file
**tab2to8.dat** gives the Likelihood of a minority margin/classification
error pair projected from a space of two to eight dimensions with an infinite number of voters.

The format of the Likelihood file is:row 1. Minority Margin 25 (.025 to .500, but listed as 25 to 500)
column 2 - Classification Error of 0 -- Minority Margin minus 1, minus 2, etc. -- for .025 this runs from 0,1,2, ... , 24
columns 3 - 9 Likelihoods for 2 to 8 dimensions
row 2. Minority Margin 25 (0.25)
column 2 - Classification Error of 1
columns 3 - 9 Likelihoods for 2 to 8 dimensions
etc.
etc.
row 124,950. Minority Margin of 500 (.500)
column 2 - Classification Error of 499
columns 3 - 9 Likelihoods for 2 to 8 dimensions

Likelihood Table (Text file, 124,950 rows by 9 columns)

pss.f95 -- FORTRAN 95 Program to Compute Likelihoods given
an empirical vector of minority margins and corresponding classification errors

h01_113_codes.txt --
DW-NOMINATE House output with minority margins and
classification errors read by **pss.f95**.

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