On Directional Dependence in a Regression Line

Muddapur, M.V.

doi:10.1081/sta-120023266

Cited by 27 publications

(14 citation statements)

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“…The present article is designed to introduce principles of DDA to quantitative researchers. Although previous work (e.g., Dodge & Rousson, 2000Dodge & Yadegari, 2010;Muddapur, 2003;Sungur, 2005;Wiedermann & von Eye, 2015a, 2015b, 2015c has focused on direction dependence methods to choose between the two models x → y and y → x (Figs. 1a and b), direction dependency in the presence of confounders has received considerably less attention.…”

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confidence: 99%

Direction dependence analysis: A framework to test the direction of effects in linear models with an implementation in SPSS

Wiedermann

2018

Behav Res

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In nonexperimental data, at least three possible explanations exist for the association of two variables x and y: (1) x is the cause of y, (2) y is the cause of x, or (3) an unmeasured confounder is present. Statistical tests that identify which of the three explanatory models fits best would be a useful adjunct to the use of theory alone. The present article introduces one such statistical method, direction dependence analysis (DDA), which assesses the relative plausibility of the three explanatory models on the basis of higher-moment information about the variables (i.e., skewness and kurtosis). DDA involves the evaluation of three properties of the data: (1) the observed distributions of the variables, (2) the residual distributions of the competing models, and (3) the independence properties of the predictors and residuals of the competing models. When the observed variables are nonnormally distributed, we show that DDA components can be used to uniquely identify each explanatory model. Statistical inference methods for model selection are presented, and macros to implement DDA in SPSS are provided. An empirical example is given to illustrate the approach. Conceptual and empirical considerations are discussed for best-practice applications in psychological data, and sample size recommendations based on previous simulation studies are provided.

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confidence: 99%

Direction dependence analysis: A framework to test the direction of effects in linear models with an implementation in SPSS

Wiedermann

2018

Behav Res

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“…However, as was shown formally by Dodge and Rousson (2001), Muddapur (2003), and by Sungur (2005), the correlation r XY also has an asymmetric property if one considers the skewness of the two variables, X and Y. Specifically, the authors show that…”

Section: Direction Of Dependence In Manifest Variablesmentioning

confidence: 91%

On Direction of Dependence in Latent Variable Contexts

Eye

Wiedermann

2013

Educational and Psychological Measurement

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Approaches to determining direction of dependence in nonexperimental data are based on the relation between higher-than second-order moments on one side and correlation and regression models on the other. These approaches have experienced rapid development and are being applied in contexts such as research on partner violence, attention deficit hyperactivity disorder, and currency exchange rates. In this article, we propose using these methods in the context of latent variables analysis. Specifically, we propose creating component or factor scores and relating the component score or factor score variables to each other by using methods for the determination of direction of dependence. Empirical examples use data from the development of aggression in adolescence. In the discussion, issues concerning the establishment of causal relation in empirical research are addressed. Keywords direction of effects, latent variables, PCA, SEMIn nonexperimental research, the direction of dependence, also called the direction of effects, is not always obvious. For example, Dodge and Rousson (2001) asked which of the world currencies affects others to increase or decrease in value. Nigg et al. (2008) asked whether an increased blood lead content is the cause for attention deficit hyperactivity disorder or whether attention deficit hyperactivity disorder has the effect that children expose themselves more often to lead-tainted objects. von Eye and DeShon (2012) asked whether intimate partner violence has the effect that the

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“…has derived an additional face of correlation coefficient and claims that it is more genralized result of Dodge and Rousson (2000) and Muddapur (2003). His result is given in the following theorem.…”

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confidence: 89%

On Directional Dependence in a Regression Line

Cited by 27 publications

References 4 publications

Direction dependence analysis: A framework to test the direction of effects in linear models with an implementation in SPSS

Direction dependence analysis: A framework to test the direction of effects in linear models with an implementation in SPSS

On Direction of Dependence in Latent Variable Contexts

A Remark on the Paper “A Note on Directional Dependence in Regression Setting” By Engin A. Sungur

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