The adjusted Rand index is the corrected-for-chance version of the Rand index. Possible alternatives for the Rand and adjusted Rand indices are information theoretic measures, e.g.
ADJUSTED R²
Coefficient of determination R²
Origin of the variability of the measurements ...
Adjusted R^2, AIC, BIC and other statistical penalty functions attempt to balance between complexity and explanatory value, In the cases where Occam's razor would strictly apply, it would improve these measures.
5 ...
Obviously, the relationship of R-squared and adjusted R-squared is . For general rule of thumb, the R-squared or adjusted R-squared should be higher than 0.80 to produce a good linear model. If your R-squared is less than 0.
" The most often used criteria are the subset multiple R-square, adjusted R-square, and Mallow's Cp statistics.
 See also: Regression, Distribution, Validation, Residual, Variance
  
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