scholarly journals The hardness of conditional independence testing and the generalised covariance measure

2020 ◽  
Vol 48 (3) ◽  
pp. 1514-1538 ◽  
Author(s):  
Rajen D. Shah ◽  
Jonas Peters
Keyword(s):  
Conditional Independence ◽  
Independence Testing

scholarly journals Minimax optimal conditional independence testing

2021 ◽  
Vol 49 (4) ◽  
Author(s):  
Matey Neykov ◽  
Sivaraman Balakrishnan ◽  
Larry Wasserman
Keyword(s):  
Conditional Independence ◽  
Independence Testing

Dichotomization, Partial Correlation, and Conditional Independence

1996 ◽  
Vol 21 (3) ◽  
pp. 264-282 ◽  
Author(s):  
András Vargha ◽  
Tamás Rudas ◽  
Harold D. Delaney ◽  
Scott E. Maxwell
Keyword(s):  
Conditional Independence ◽  
Partial Correlation ◽  
Statistical Significance ◽  
Conventional Wisdom ◽  
Predictor Variables ◽  
Lower Power ◽  
Partial Correlations ◽  
Current Article ◽  
The Difference ◽  
The Relationship

It was recently demonstrated that performing median splits on both of two predictor variables could sometimes result in spurious statistical significance instead of lower power. Not only is the conventional wisdom that dichotomization always lowers power incorrect, but the current article further demonstrates that inflation of apparent effects can also occur in certain cases where only one of two predictor variables is dichotomized. In addition, we show that previously published formulas claiming that correlations are necessarily reduced by bivariate dichotomization are incorrect. While the magnitude of the difference between the correct and incorrect formulas is not great for small or moderate correlations, it is important to correct the misunderstanding of partial correlations that led to the error in the previous derivations. This is done by considering the relationship between partial correlation and conditional independence in the context of dichotomized predictor variables.

scholarly journals Nonparametric Bayes inference on conditional independence

Biometrika ◽  
2016 ◽  
Vol 103 (1) ◽  
pp. 35-47 ◽  
Author(s):  
Tsuyoshi Kunihama ◽  
David B. Dunson
Keyword(s):  
Conditional Independence ◽  
Nonparametric Bayes ◽  
Bayes Inference ◽  
Nonparametric Bayes Inference
Sign in / Sign up

Export Citation Format

Share Document