On the sensitivity of returns to seniority to the measurement of earnings (original) (raw)
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for their comments and discussions. Participants of seminars and conferences in Amsterdam, Brown, Crest (Malinvaud seminar), ESEM 2001 in Lausanne, Harvard, Maryland, Michigan, Pennsylvania, Tel-Aviv, Toulouse, UCLA, UCSD, Wisconsin, and Yale, provided very helpful comments. Remaining errors are ours.
2007
Earnings nonresponse is currently about 30% in the CPS-ORG and 20% in the March CPS. Census imputes missing earnings by assigning nonrespondents the reported earnings of matched donors. Even if nonresponse is random, in a wage equation there exists severe "match bias" on coefficients attached to non-match imputation attributes (union status, industry, foreign-born, etc.) and imperfectly matched criteria (schooling, age, etc.). Bollinger-Hirsch (JOLE, July 2006) show that if nonresponse is conditional missing at random (i.e., ignorable nonresponse) then unbiased wage equation estimation can be achieved in several ways, most easily by deleting imputed earners from the sample. The focus of this paper is twofold. First, we examine whether or not nonresponse is ignorable in the CPS-ORG and March CPS. Second, we assess the effect of "proxy" respondents on earnings, since roughly half of CPS records are based on self-responses and half on responses from another household member. Earnings nonresponse varies little with respect to most earnings attributes, but is noticeably highest among those in the top percentiles of the predicted earnings distribution. Wage effects due to nonresponse and proxy reports are estimated using selection models and longitudinal analysis. Based on reasonable instruments to identify selection, we conclude that there is negative selection into response among men, but relatively little selection among women. Wage equation slope coefficients are affected little by selection (as compared to OLS results for respondent-only samples), but because of intercept shifts, our preliminary evidence suggests that men's (but not women's) wages are understated due to response bias by as much as 10%. By contrast, longitudinal results from the ORG suggest moderate response bias for women as well as men. OLS estimate of proxy effects on reported earnings indicates a modest negative effect (about 2-3%). What this masks, however, is large negative correlations between non-spousal proxy reports and earnings, combined with spousal proxy reports of earnings roughly equivalent to self-reports. The panel analysis indicates that much of the (non-spousal) proxy effect on earnings seen in cross-sectional analysis is due to worker heterogeneity or fixed effects (including selection into response, which is correlated with proxy reports). In short, proxy reports by spouses and non-spouses are only about 1-2% lower than are self-reports from these same individuals, but workers whose earnings are reported by non-spousal household members tend to have even lower wages for reasons not reflected by measured characteristics.
Estimating Measurement Error in Annual Job Earnings: A Comparison of Survey and Administrative Data
Review of Economics and Statistics, 2013
We propose a new methodology that does not assume a prior specification of the statistical properties of the measurement errors and treats all sources as noisy measures of some underlying true value. The unobservable true value can be represented as a weighted average of all available measures, using weights that must be specified a priori unless there has been a truth audit. The Census Bureau's Survey of Income and Program Participation (SIPP) survey jobs are linked to Social Security Administration earnings data, creating two potential annual earnings observations. The reliability statistics for both sources are quite similar except for cases where the SIPP used imputations for some missing monthly earnings reports.
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