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Generalized Naszodi-Mendonca method

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GNM-method
GNM-method

The GNM-method or Generalized Naszodi-Mendonca method is the generalized version of the NM-method. The latter was developed by Naszodi and Mendonca (2021).[1] and first applied by Naszodi and Mendonca (2019),[2] before being used in some other papers [3], [4], [5], [6], [7], [8], [9]. Whereas the GNM-method was developed by Naszodi (2021)[10] and applied by Naszodi and Mendonca (2023) [11]

Application

The GNM-method can be applied to study various phenomena including assortative mating along multiple traits.

Comparison with the NM-method

While the NM-method is suitable for constructing counterfactual joint distributions of a one-dimensional pair of traits (e.g. husband's education level and wife's education level),[1] the GNM-method can be applied to multidimensional pairs of traits (e.g., husband's education level and race; wife's education level and race).[11]

The counterfactual constructed by the NM-method can be used to decompose inter-generatinal changes in the prevalence of (educational) homogamy into the effects due to changes in (i) the structural availability (e.g., the educational distribution of marriageable men and women), (ii) the non-structural factor (e.g., aggregate marital preferences over spousal education, social barriers to marrying out of one's educational group, social marital norms), and (iii) the interaction of changing structural availability and the non-structural factor.[1]

The NM-method provides a unique solution to the counterfactual table (if the counterfactual is not impossible to obtain).[1] Therefore, the components calculated with the counterfactual decompositions based on the NM-method are scalar-valued.

Unlike the NM-method, the GNM-method results in a set of counterfactual tables. Therefore, it provides an interval for the components if being used for counterfactual decompositions.[11]

Implementation

The GNM-method is implemented in Matlab and R. It can be downloaded from Mendeley.[12] The NM-method is implemented in Excel, Visual Basic, R[13] and also in Stata.[12]

See also

References

  1. 1.0 1.1 1.2 1.3 Naszodi, A.; Mendonca, F. (2021). "A new method for identifying the role of marital preferences at shaping marriage patterns". Journal of Demographic Economics. 1 (1): 1–27. doi:10.1017/dem.2021.1.
  2. Naszodi, A.; Mendonca, F. (2019). "Like marries like". Fairness Policy Brief Series. Archived from the original on 2023-05-16. Retrieved 2023-06-01.CS1 maint: Unfit url (link)
  3. Naszodi, A. (2021). "Decomposition scheme matters more than you may think". arXiv:2104.09141 [econ.GN].
  4. Naszodi, A.; Mendonca, F. (2022). "Changing educational homogamy: Shifting preferences or evolving educational distribution?". Journal of Demographic Economics. 1 (1): 1–29. doi:10.1017/dem.2022.21.
  5. Naszodi, A.; Cuccu, L. (2023). "Are high school degrees and university diplomas equally heritable in the US? A new measure of relative intergenerational mobility". arXiv:2303.08445 [econ.GN].
  6. Naszodi, A. (2023). "What do surveys say about the historical trend of inequality and the applicability of two table-transformation methods?". arXiv:2303.05895 [econ.GN].
  7. Naszodi, A. (2023). "The iterative proportional fitting algorithm and the NM-method: solutions for two different sets of problems". arXiv:2303.05515 [econ.GN].
  8. Naszodi, A. (2023). "Direct comparison or indirect comparison via a series of counterfactual decompositions?". arXiv:2303.04905 [econ.GN].
  9. Naszodi, A. (2022). "Hogyan szálazzuk szét a megfigyelhető változások okait?". Közgazdasági Szemle. 69 (11): 1407–1432. doi:10.18414/KSZ.2022.11.1407.
  10. Naszodi, A. (2021). "A new method for identifying changing marital preferences for race and education level". arXiv:2103.06991v1 [econ.GN].
  11. 11.0 11.1 11.2 Naszodi, A.; Mendonca, F. (2023). "A new method for identifying what Cupid's invisible hand is doing. Is it spreading color blindness while turning us more "picky" about spousal education?". arXiv:2103.06991 [econ.GN].
  12. 12.0 12.1 Naszodi, Anna; Mendonca, Francisco (2023). "Code for "A NEW METHOD FOR IDENTIFYING WHAT CUPID'S INVISIBLE HAND IS DOING. IS IT SPREADING COLOR BLINDNESS WHILE TURNING US MORE "PICKY" ABOUT SPOUSAL EDUCATION?"". Mendeley. doi:10.17632/95k6mmrxvg.
  13. Naszodi, Anna; Mendonca, Francisco (2021). "Code for A NEW METHOD FOR IDENTIFYING THE ROLE OF MARITAL PREFERENCES AT SHAPING MARRIAGE PATTERNS". 2. Mendeley. doi:10.17632/x2ry7bcm95.



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