Imputed Welfare Estimates in Regression Analysis

The authors discuss the use of imputed data in regression analysis, in particular the use of highly disaggregated welfare indicators (from so-called "poverty maps"). They show that such indicators can be used both as explanatory variables...

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Main Authors:	Elbers, Chris, Lanjouw, Jean O., Lanjouw, Peter
Format:	Policy Research Working Paper
Language:	English en_US
Published:	World Bank, Washington, D.C. 2013
Subjects:	IMPUTED COSTS REGRESSION ANALYSIS WELFARE INDICATORS POVERTY MAPS AGGREGATE GROWTH MODELS ECONOMIC GROWTH BOOTSTRAP CALCULATION CAPITA CONSUMPTION CAPITA EXPENDITURE CENSUS DATA CENSUS HOUSEHOLDS CENTER CLUSTER CORRELATION COEFFICIENTS COMMUNITY INEQUALITY COMPILE COMPUTATION CONDITIONAL EXPECTATION CONSISTENT ESTIMATES CONSISTENT ESTIMATOR CONSISTENT STANDARD ERRORS CONSUMPTION EXPENDITURE CONSUMPTION LEVEL CONSUMPTION MODEL CONSUMPTION REGRESSION COVARIANCE DEPENDENCY DEPENDENT VARIABLE DEPENDENT VARIABLES DIAGONAL MATRIX DISTURBANCE TERM ECONOMIC ANALYSIS ECONOMIC OUTCOMES ERROR ERROR TERM ERROR VARIANCE ERROR VARIANCES ESTIMATION PROCEDURE EXOGENOUS VARIABLES EXPECTED VALUE EXPENDITURE MODEL EXPLANATORY VARIABLES HOUSEHOLD CONSUMPTION HOUSEHOLD LEVEL HOUSEHOLD SIZE HOUSEHOLD SURVEY HOUSEHOLD SURVEY DATA HOUSEHOLD-LEVEL HOUSEHOLDS IDIOSYNCRATIC ERROR INSTRUMENTAL VARIABLES LEVEL OF AGGREGATION LINEAR APPROXIMATION LIVING STANDARDS MATRICES MATRIX MEASURE OF POVERTY PARAMETER ESTIMATES PARAMETER VECTOR POVERTY ALLEVIATION POVERTY MAPPING POVERTY MEASURES POVERTY STATUS PREDICTION RANDOM COMPONENTS RANDOM EFFECTS REGRESSION EQUATION REGRESSION MODEL RESAMPLING SIGNIFICANCE LEVEL SIMULATION SIMULATIONS STANDARD ERROR STANDARD ERRORS TIME PERIOD WEALTH
Online Access:	http://documents.worldbank.org/curated/en/2004/05/4265592/imputed-welfare-estimates-regression-analysis http://hdl.handle.net/10986/14102

id	okr-10986-14102
recordtype	oai_dc
spelling	okr-10986-141022021-04-23T14:03:20Z Imputed Welfare Estimates in Regression Analysis Elbers, Chris Lanjouw, Jean O. Lanjouw, Peter IMPUTED COSTS REGRESSION ANALYSIS WELFARE INDICATORS POVERTY MAPS AGGREGATE GROWTH MODELS ECONOMIC GROWTH BOOTSTRAP CALCULATION CAPITA CONSUMPTION CAPITA EXPENDITURE CENSUS DATA CENSUS HOUSEHOLDS CENTER CLUSTER CORRELATION COEFFICIENTS COMMUNITY INEQUALITY COMPILE COMPUTATION CONDITIONAL EXPECTATION CONSISTENT ESTIMATES CONSISTENT ESTIMATOR CONSISTENT STANDARD ERRORS CONSUMPTION EXPENDITURE CONSUMPTION LEVEL CONSUMPTION MODEL CONSUMPTION REGRESSION COVARIANCE DEPENDENCY DEPENDENT VARIABLE DEPENDENT VARIABLES DIAGONAL MATRIX DISTURBANCE TERM ECONOMIC ANALYSIS ECONOMIC OUTCOMES ERROR ERROR TERM ERROR VARIANCE ERROR VARIANCES ESTIMATION PROCEDURE EXOGENOUS VARIABLES EXPECTED VALUE EXPENDITURE MODEL EXPLANATORY VARIABLES HOUSEHOLD CONSUMPTION HOUSEHOLD LEVEL HOUSEHOLD SIZE HOUSEHOLD SURVEY HOUSEHOLD SURVEY DATA HOUSEHOLD-LEVEL HOUSEHOLDS IDIOSYNCRATIC ERROR INSTRUMENTAL VARIABLES LEVEL OF AGGREGATION LINEAR APPROXIMATION LIVING STANDARDS MATRICES MATRIX MEASURE OF POVERTY PARAMETER ESTIMATES PARAMETER VECTOR POVERTY ALLEVIATION POVERTY MAPPING POVERTY MAPS POVERTY MEASURES POVERTY STATUS PREDICTION RANDOM COMPONENTS RANDOM EFFECTS REGRESSION ANALYSIS REGRESSION EQUATION REGRESSION MODEL RESAMPLING SIGNIFICANCE LEVEL SIMULATION SIMULATIONS STANDARD ERROR STANDARD ERRORS TIME PERIOD WEALTH The authors discuss the use of imputed data in regression analysis, in particular the use of highly disaggregated welfare indicators (from so-called "poverty maps"). They show that such indicators can be used both as explanatory variables on the right-hand side and as the phenomenon to explain on the left-hand side. The authors try out practical ways of adjusting standard errors of the regression coefficients to reflect the error introduced by using imputed, rather than actual, welfare indicators. These are illustrated by regression experiments based on data from Ecuador. For regressions with imputed variables on the left-hand side, the authors argue that essentially the same aggregate relationships would be found with either actual or imputed variables. They address the methodological question of how to interpret aggregate relationships found in such regressions. 2013-06-21T12:53:33Z 2013-06-21T12:53:33Z 2004-04 http://documents.worldbank.org/curated/en/2004/05/4265592/imputed-welfare-estimates-regression-analysis http://hdl.handle.net/10986/14102 English en_US Policy Research Working Paper;No.3294 CC BY 3.0 IGO http://creativecommons.org/licenses/by/3.0/igo/ World Bank World Bank, Washington, D.C. Publications & Research :: Policy Research Working Paper Publications & Research Latin America & Caribbean Ecuador
repository_type	Digital Repository
institution_category	Foreign Institution
institution	Digital Repositories
building	World Bank Open Knowledge Repository
collection	World Bank
language	English en_US
topic	IMPUTED COSTS REGRESSION ANALYSIS WELFARE INDICATORS POVERTY MAPS AGGREGATE GROWTH MODELS ECONOMIC GROWTH BOOTSTRAP CALCULATION CAPITA CONSUMPTION CAPITA EXPENDITURE CENSUS DATA CENSUS HOUSEHOLDS CENTER CLUSTER CORRELATION COEFFICIENTS COMMUNITY INEQUALITY COMPILE COMPUTATION CONDITIONAL EXPECTATION CONSISTENT ESTIMATES CONSISTENT ESTIMATOR CONSISTENT STANDARD ERRORS CONSUMPTION EXPENDITURE CONSUMPTION LEVEL CONSUMPTION MODEL CONSUMPTION REGRESSION COVARIANCE DEPENDENCY DEPENDENT VARIABLE DEPENDENT VARIABLES DIAGONAL MATRIX DISTURBANCE TERM ECONOMIC ANALYSIS ECONOMIC OUTCOMES ERROR ERROR TERM ERROR VARIANCE ERROR VARIANCES ESTIMATION PROCEDURE EXOGENOUS VARIABLES EXPECTED VALUE EXPENDITURE MODEL EXPLANATORY VARIABLES HOUSEHOLD CONSUMPTION HOUSEHOLD LEVEL HOUSEHOLD SIZE HOUSEHOLD SURVEY HOUSEHOLD SURVEY DATA HOUSEHOLD-LEVEL HOUSEHOLDS IDIOSYNCRATIC ERROR INSTRUMENTAL VARIABLES LEVEL OF AGGREGATION LINEAR APPROXIMATION LIVING STANDARDS MATRICES MATRIX MEASURE OF POVERTY PARAMETER ESTIMATES PARAMETER VECTOR POVERTY ALLEVIATION POVERTY MAPPING POVERTY MAPS POVERTY MEASURES POVERTY STATUS PREDICTION RANDOM COMPONENTS RANDOM EFFECTS REGRESSION ANALYSIS REGRESSION EQUATION REGRESSION MODEL RESAMPLING SIGNIFICANCE LEVEL SIMULATION SIMULATIONS STANDARD ERROR STANDARD ERRORS TIME PERIOD WEALTH
spellingShingle	IMPUTED COSTS REGRESSION ANALYSIS WELFARE INDICATORS POVERTY MAPS AGGREGATE GROWTH MODELS ECONOMIC GROWTH BOOTSTRAP CALCULATION CAPITA CONSUMPTION CAPITA EXPENDITURE CENSUS DATA CENSUS HOUSEHOLDS CENTER CLUSTER CORRELATION COEFFICIENTS COMMUNITY INEQUALITY COMPILE COMPUTATION CONDITIONAL EXPECTATION CONSISTENT ESTIMATES CONSISTENT ESTIMATOR CONSISTENT STANDARD ERRORS CONSUMPTION EXPENDITURE CONSUMPTION LEVEL CONSUMPTION MODEL CONSUMPTION REGRESSION COVARIANCE DEPENDENCY DEPENDENT VARIABLE DEPENDENT VARIABLES DIAGONAL MATRIX DISTURBANCE TERM ECONOMIC ANALYSIS ECONOMIC OUTCOMES ERROR ERROR TERM ERROR VARIANCE ERROR VARIANCES ESTIMATION PROCEDURE EXOGENOUS VARIABLES EXPECTED VALUE EXPENDITURE MODEL EXPLANATORY VARIABLES HOUSEHOLD CONSUMPTION HOUSEHOLD LEVEL HOUSEHOLD SIZE HOUSEHOLD SURVEY HOUSEHOLD SURVEY DATA HOUSEHOLD-LEVEL HOUSEHOLDS IDIOSYNCRATIC ERROR INSTRUMENTAL VARIABLES LEVEL OF AGGREGATION LINEAR APPROXIMATION LIVING STANDARDS MATRICES MATRIX MEASURE OF POVERTY PARAMETER ESTIMATES PARAMETER VECTOR POVERTY ALLEVIATION POVERTY MAPPING POVERTY MAPS POVERTY MEASURES POVERTY STATUS PREDICTION RANDOM COMPONENTS RANDOM EFFECTS REGRESSION ANALYSIS REGRESSION EQUATION REGRESSION MODEL RESAMPLING SIGNIFICANCE LEVEL SIMULATION SIMULATIONS STANDARD ERROR STANDARD ERRORS TIME PERIOD WEALTH Elbers, Chris Lanjouw, Jean O. Lanjouw, Peter Imputed Welfare Estimates in Regression Analysis
geographic_facet	Latin America & Caribbean Ecuador
relation	Policy Research Working Paper;No.3294
description	The authors discuss the use of imputed data in regression analysis, in particular the use of highly disaggregated welfare indicators (from so-called "poverty maps"). They show that such indicators can be used both as explanatory variables on the right-hand side and as the phenomenon to explain on the left-hand side. The authors try out practical ways of adjusting standard errors of the regression coefficients to reflect the error introduced by using imputed, rather than actual, welfare indicators. These are illustrated by regression experiments based on data from Ecuador. For regressions with imputed variables on the left-hand side, the authors argue that essentially the same aggregate relationships would be found with either actual or imputed variables. They address the methodological question of how to interpret aggregate relationships found in such regressions.
format	Publications & Research :: Policy Research Working Paper
author	Elbers, Chris Lanjouw, Jean O. Lanjouw, Peter
author_facet	Elbers, Chris Lanjouw, Jean O. Lanjouw, Peter
author_sort	Elbers, Chris
title	Imputed Welfare Estimates in Regression Analysis
title_short	Imputed Welfare Estimates in Regression Analysis
title_full	Imputed Welfare Estimates in Regression Analysis
title_fullStr	Imputed Welfare Estimates in Regression Analysis
title_full_unstemmed	Imputed Welfare Estimates in Regression Analysis
title_sort	imputed welfare estimates in regression analysis
publisher	World Bank, Washington, D.C.
publishDate	2013
url	http://documents.worldbank.org/curated/en/2004/05/4265592/imputed-welfare-estimates-regression-analysis http://hdl.handle.net/10986/14102
_version_	1764430189913178112

Imputed Welfare Estimates in Regression Analysis

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