Since causal paths from data are important for all sciences, the package provides sophisticated functions. The idea is simply that if X causes Y (path: X to Y) then nondeterministic variation in X is more "original or independent" than similar variation in Y. We compare two flipped kernel regressions: X=f(Y, Z) and Y=g(X,Z), where Z are control variables. Our first two criteria compare absolute gradients (Cr1) and absolute residuals (Cr2), both quantified by stochastic dominance of four orders (SD1 to SD4). Our third criterion (Cr3) expects X to be better able to predict Y than the other way around using generalized partial correlation If r*(xy)> r*(yx) it suggests that y is more likely the "kernel cause" of x. The usual partial correlations are generalized for the asymmetric matrix of r*'s developed here. Partial correlations help asses effect of x on y after removing the effect of a set of variables. The package provides additional tools for causal assessment, for printing the causal directions in a clear, comprehensive compact summary form, for matrix algebra, for "outlier detection", and for numerical integration by the trapezoidal rule, stochastic dominance, etc. The package has functions for bootstrapbased statistical inference and one for a heuristic ttest.
Package details 


Author  Prof. H. D. Vinod, Fordham University, NY. 
Date of publication  20170616 17:59:09 UTC 
Maintainer  H. D. Vinod <vinod@fordham.edu> 
License  GPL (>= 2) 
Version  1.0.5 
Package repository  View on CRAN 
Installation 
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