Computation of Standard Errors

Objectives: We discuss the problem of computing the standard errors of functions involving estimated parameters and provide the relevant computer code for three different computational approaches using two popular computer packages. Study Design: We show how to compute the standard errors of several...

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Main Authors: Dowd, B., Greene, William, Norton, E.
Format: Journal Article
Published: Blackwell Publishing Inc. 2014
Online Access:http://hdl.handle.net/20.500.11937/51437
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author Dowd, B.
Greene, William
Norton, E.
author_facet Dowd, B.
Greene, William
Norton, E.
author_sort Dowd, B.
building Curtin Institutional Repository
collection Online Access
description Objectives: We discuss the problem of computing the standard errors of functions involving estimated parameters and provide the relevant computer code for three different computational approaches using two popular computer packages. Study Design: We show how to compute the standard errors of several functions of interest: the predicted value of the dependent variable for a particular subject, and the effect of a change in an explanatory variable on the predicted value of the dependent variable for an individual subject and average effect for a sample of subjects. Empirical Application: Using a publicly available dataset, we explain three different methods of computing standard errors: the delta method, Krinsky–Robb, and bootstrapping. We provide computer code for Stata 12 and LIMDEP 10/NLOGIT 5. Conclusions: In most applications, choice of the computational method for standard errors of functions of estimated parameters is a matter of convenience. However, when computing standard errors of the sample average of functions that involve both estimated parameters and nonstochastic explanatory variables, it is important to consider the sources of variation in the function's values.
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spelling curtin-20.500.11937-514372018-03-29T09:08:25Z Computation of Standard Errors Dowd, B. Greene, William Norton, E. Objectives: We discuss the problem of computing the standard errors of functions involving estimated parameters and provide the relevant computer code for three different computational approaches using two popular computer packages. Study Design: We show how to compute the standard errors of several functions of interest: the predicted value of the dependent variable for a particular subject, and the effect of a change in an explanatory variable on the predicted value of the dependent variable for an individual subject and average effect for a sample of subjects. Empirical Application: Using a publicly available dataset, we explain three different methods of computing standard errors: the delta method, Krinsky–Robb, and bootstrapping. We provide computer code for Stata 12 and LIMDEP 10/NLOGIT 5. Conclusions: In most applications, choice of the computational method for standard errors of functions of estimated parameters is a matter of convenience. However, when computing standard errors of the sample average of functions that involve both estimated parameters and nonstochastic explanatory variables, it is important to consider the sources of variation in the function's values. 2014 Journal Article http://hdl.handle.net/20.500.11937/51437 10.1111/1475-6773.12122 Blackwell Publishing Inc. restricted
spellingShingle Dowd, B.
Greene, William
Norton, E.
Computation of Standard Errors
title Computation of Standard Errors
title_full Computation of Standard Errors
title_fullStr Computation of Standard Errors
title_full_unstemmed Computation of Standard Errors
title_short Computation of Standard Errors
title_sort computation of standard errors
url http://hdl.handle.net/20.500.11937/51437