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- Chamberlains_approach_to_unobserved_effects_models abstract "In a linear panel data setting, it can be desirable to estimate the magnitude of the Fixed Effects, as they provide measures of the unobserved components. For instance, in wage equation regressions, Fixed Effects capture ability measures that are constant over time, such as motivation. Chamberlain's approach to unobserved effects models is a way of estimating the linear unobserved effects, under Fixed Effect (rather than Random Effects) assumptions, in the following unobserved effects modelyit = xitb + ci + uit\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(1)where ci is the unobserved effect and xit contains only time-varying explanatory variables. Rather than differencing out the unobserved effect ci, Chamberlain proposed to replace it with the linear projection of it onto the explanatory variables in all time periods. Specifically, this leads to the following equationci = d + xi1 λ1 + xi2 λ2 + ... + xiT λT + ei\t\t\t\t\t\t\t\t\t\t\t\t\t\t(2)where the conditional distribution of ci given xit is unspecified, as is standard in Fixed Effects models. Combining equations (1) and (2) then gives rise to the following model. yit = d + xi1 λ1 + ... + xit (b+λt ) + ... + xiT λTb + ei + uit\t\t\t\t\t\t\t\t\t\t\t\t(3)An important advantage of this approach is the computational requirement. Chamberlain uses minimum distance estimation, but a GMM approach would be another valid way of estimating this model. The latter approach also gives rise to a larger number of instruments than moment conditions, which leads to useful overidentifying restrictions that can be used to test the strict exogeneity restrictions imposed by many static Fixed Effects models. Similar approaches have been proposed to model the unobserved effect. For instance, Mundlak follows a very similar approach, but rather projects the unobserved effect ci onto the average of all xit across all T time periods, more specifically ci = d + xiλ + ei\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(4)It can be shown that the Chamberlain method is a generalization of Mundlak's model. The Chamberlain method has been popular in empirical work, ranging from studies trying to estimate the causal returns to union members to studies investigating growth convergence.".
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- Chamberlains_approach_to_unobserved_effects_models wikiPageRevisionID "694775910".
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Aptitude.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Category:Econometrics.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Causality.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Computation.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Dependent_and_independent_variables.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Differencing_out.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Empirical_work.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Fixed_Effects.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Gary_Chamberlain.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Growth_convergence.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Labour_economics.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Linear_panel.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Minimum_distance_estimation.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Mixture_model.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Overidentifying_restrictions.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Projection_(linear_algebra).
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Random_Effects.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Static_variable.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Strict_exogeneity_restrictions.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Trade_union.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLink Unobserved_components.
- Chamberlains_approach_to_unobserved_effects_models wikiPageWikiLinkText "Chamberlain's approach to unobserved effects models".
- Chamberlains_approach_to_unobserved_effects_models wikiPageUsesTemplate Template:Context.
- Chamberlains_approach_to_unobserved_effects_models wikiPageUsesTemplate Template:Reflist.
- Chamberlains_approach_to_unobserved_effects_models subject Category:Econometrics.
- Chamberlains_approach_to_unobserved_effects_models comment "In a linear panel data setting, it can be desirable to estimate the magnitude of the Fixed Effects, as they provide measures of the unobserved components. For instance, in wage equation regressions, Fixed Effects capture ability measures that are constant over time, such as motivation.".
- Chamberlains_approach_to_unobserved_effects_models label "Chamberlain's approach to unobserved effects models".
- Chamberlains_approach_to_unobserved_effects_models wasDerivedFrom Chamberlains_approach_to_unobserved_effects_models?oldid=694775910.
- Chamberlains_approach_to_unobserved_effects_models isPrimaryTopicOf Chamberlains_approach_to_unobserved_effects_models.