PT - JOURNAL ARTICLE AU - Kinsler, Josh TI - Beyond Levels and Growth AID - 10.3368/jhr.47.3.722 DP - 2012 Jul 01 TA - Journal of Human Resources PG - 722--753 VI - 47 IP - 3 4099 - http://jhr.uwpress.org/content/47/3/722.short 4100 - http://jhr.uwpress.org/content/47/3/722.full SO - J Hum Resour2012 Jul 01; 47 AB - The levels and growth achievement functions make extreme and diametrically opposed assumptions about the rate at which teacher inputs persist. I first show that if these assumptions are incorrect, teacher value-added estimates can be significantly biased. I then develop a tractable, cumulative model of student achievement that allows for the joint estimation of unobserved teacher quality and its persistence. The model can accommodate varying persistence rates, student heterogeneity, and time-varying teacher attributes. I implement the proposed methodology using schooling data from North Carolina, and find that only a third of the contemporaneous teacher effect survives into the next grade.