Identifying monotonic and non-monotonic relationships
We suggest graphical tools that indicate whether the relationship between variables in regression is monotonic. If not, the tools identify sections with different signs and inform on possibilities and types of monotonic transformations that can change the sign of the coefficient.
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"Understanding Instrumental Variables in Models with Essential Heterogeneity,"
NBER Working Papers
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232665, Hebrew University of Jerusalem, Center for Agricultural Economic Research.
- Yitzhaki, Shlomo, 1990. "On the Sensitivity of a Regression Coefficient to Monotonic Transformations," Econometric Theory, Cambridge University Press, vol. 6(02), pages 165-169, June.
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