Issues
Sequential vs. Simultaneous
Established Ratings
Attenuation
Percentage Expectancy

Applications
Consistency
Methods of Calculation
A Test
Skeptical Conclusions

Experiments
The Berkin System
Progressive Ratings
Rating by Single Games

Consistency contains live Microsoft Excel programs in two versions, one for Excel 2007 with extension .xlsx and a second for earlier releases with extension .xls.  The Excel program CrossTable2007 shows the convergence of linear ratings by iterative calculations.  The Excel program Champs2008 shows the convergence of Berkin ratings.  The files Blank and HalfTable are for experiments with linear ratings.  The latter provides automatic entry of opposition scores.  The text file ReadMe gives instructions for operating the demonstration programs by the default manual calculations.  The text file Entering Data gives hints for input.

Ordinal Ratings  contains a Visual Basic console program consisting of two modules.   It compares the minimization of violations by two algorithms:  (1) sorting by directed rank difference and (2) brute force.

Ordinal Ratings 2 contains a Visual Basic console program that simulates the calculation of ordinal ratings for a hypothetical playing field and shows the resulting correlations, which are depicted in the graph "Correlation of Calculated Ranks with Predefined Ranks by Spearman's Rank Correlation Coefficient."

Probability in Rating Systems contains a Visual Basic console program for generating the values depicted in the graph "Score Probabilities for Ten Games." 

Rating by Single Games contains a Visual Basic simulation of five systems.  The values generated are shown in Table 10 with an accompanying graph.

Sequential vs. Simultaneous Ratings contains a Visual Basic console program for generating the values of "Effect of Half Rating Changes."