Logics for Approximating Implication Problems of Saturated Conditional Independence

Corporate bond defaults are consistent with conditional independence

The Journal of Credit Risk ◽

10.21314/jcr.2010.109 ◽

2010 ◽

Vol 6 (2) ◽

pp. 3-35 ◽

Cited By ~ 6

Author(s):

Florian Kramer ◽

Gunter Löffler

Keyword(s):

Conditional Independence ◽

Corporate Bond

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How Neural Network Depth Compensates for HMM Conditional Independence Assumptions in DNN-HMM Acoustic Models

10.21437/interspeech.2016-283 ◽

2016 ◽

Cited By ~ 1

Author(s):

Suman Ravuri ◽

Steven Wegmann

Keyword(s):

Neural Network ◽

Conditional Independence ◽

Acoustic Models ◽

Independence Assumptions

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Dichotomization, Partial Correlation, and Conditional Independence

Journal of Educational and Behavioral Statistics ◽

10.3102/10769986021003264 ◽

1996 ◽

Vol 21 (3) ◽

pp. 264-282 ◽

Cited By ~ 37

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.

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