TY - JOUR AU - Hausman,Jerry A. AU - Hall,Bronwyn H. AU - Griliches,Zvi TI - Econometric Models for Count Data with an Application to the Patents-R&D Relationship JF - National Bureau of Economic Research Technical Working Paper Series VL - No. 17 PY - 1984 Y2 - October 1984 UR - http://www.nber.org/papers/t0017 L1 - http://www.nber.org/papers/t0017.pdf N1 - Author contact info: Jerry A. Hausman Department of Economics MIT, Room E52-271A 50 Memorial Drive Cambridge, MA 02139 Tel: 617/253-3644 Fax: 617/253-1330 E-Mail: jhausman@mit.edu Bronwyn H. Hall Dept. of Economics 549 Evans Hall UC Berkeley Berkeley, CA 94720-3880 Tel: 510/642-3878 Fax: 510/548-5561 E-Mail: bhhall@nber.org Zvi Griliches E-Mail: N/A user is deceased AB - This paper focuses on developing and adapting statistical models of counts (non-negative integers) in the context of panel data and using them to analyze the relationship between patents and R&D expenditures. The model used is an application and generalization of the Poisson distribution to allow for independent variables; persistent individual (fixed or random) effects, and "noise" or randomness in the Poisson probability function. We apply our models to a data set previously analyzed by Pakes and Griliches using observations on 128 firms for seven years, 1968-74. Our statistical results indicate clearly that to rationalize the data, we need both a disturbance in the conditional within dimension and a different one, with a different variance, in the marginal (between) dimension. Adding firm specific variables, log book value and a scientific industry dummy, removes most of the positive correlation between the individual firm propensity to patent and its R&D intensity. The other new finding is that there is an interactive negative trend in the patents - R&D relationship, that is, firms are getting less patents from their more recent R&D investments, implying a decline in the "effectiveness" or productivity of R&D. ER -