A direct Maximum Likelihood (ML) procedure to estimate the "generally unidentified" across-regime correlation parameter in a two-regime endogenous switching model is here provided.The results of a Monte Carlo experiment confirm consistency of our direct ML procedure, and its relative efficiency over widely applied models and methods. As an empirical application, we estimate a Two-Regime simultaneous equation model of domestic work of Italian married women in which the two regimes are given by their working status (employed or unemployed).
Purpose
Lack of robustness of findings characterizes the empirical studies about the effect of the transition to parenthood on partners’ labour division. In this analysis, the purpose of this paper is to solve these problems through the conjoint use of methodological instruments of regression analysis, allowing the authors to correct for the effects of omitted variables.
Design/methodology/approach
A correction method is here applied to a longitudinal simultaneous equation model. In particular, the authors impose specific constraints on the covariances of the error terms of the longitudinal simultaneous equations of the paid and domestic work of both partners. For the empirical analysis, use is made of the Italian National Institute of Statistics Multipurpose Panel Survey in the years 2003 and 2007 to select a survey sample of dual-earner Italian couples.
Findings
The authors found that the negative influence of motherhood on the Italian women’s paid work supply is stronger than the positive effect of wage. The authors found that having a child (whatever the order) decreases a woman’s paid work hours by 17 hours a week, while woman’s domestic work increases by 20 hours a week as the effect of the birth of the first child.
Originality/value
Compared to Fixed Effect or Change-Score models suggested for longitudinal studies the Seemingly Unrelated Regression Equations-Difference-in-Differences procedure let us obtain estimations also for the effect of time-invariant variables. In addition, the methodological approach allows us to correct estimates for the common effects that latent variables exert simultaneously (e.g. the bargaining process) on paid and unpaid work equations of both partners.
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