TY - JOUR AU - Solon,Gary TI - Estimating Autocorrelations in Fixed-Effects Models JF - National Bureau of Economic Research Technical Working Paper Series VL - No. 32 PY - 1984 Y2 - February 1984 UR - http://www.nber.org/papers/t0032 L1 - http://www.nber.org/papers/t0032.pdf N1 - Author contact info: Gary Solon Department of Economics Michigan State University East Lansing, MI 48824-1038 Tel: 517/353-9933 Fax: 517/432-1068 E-Mail: solon@msu.edu AB - This paper discusses the estimation of serial correlation in fixed effects models for longitudinal data. Like time series data, longitudinal data often contain serially correlated error terms, but the autocorrelation estimators commonly used for time series, which are consistent as the length of the time series goes to infinity, are not consistent for a short time series as the size of the cross-section goes to infinity. This form of inconsistency is of particular concern because a short time series of a large cross-section is the typical case in longitudinal data. This paper extends Nickell's method of correcting for the inconsistency of autocorrelation estimators by generalizing to higher than first-order autocorrelations and to error processes other than first-order autoregressions. The paper also presents statistical tables that facilitate the identification and estimation of autocorrelation processes in both the generalized Nickell method and an alternative method due to MaCurdy. Finally, the paper uses Monte Carlo methods to explore the finite-sample properties of both methods. ER -