A Penalized Multinomial Approach to Smoothed Estimation of Disease Incidence Export

@article{citeulike:5770875, abstract = {Raw estimates of disease rates over a geographical region are frequently quite variable, even though one may reasonably expect adjacent communities to have similar true rates. Smoother estimates are obtained by incorporating a penalty into a multinomial likelihood estimation procedure. For each pair of locations, this penalty increases with the difference between the rates and decreases with the distance between the two sites. The resulting estimates have smaller mean squared error than the raw estimates. Expansions are developed which demonstrate the contributions of the smoothing constant, spatial configuration, risk population and raw estimates to the amount of smoothing. Simulations and an example involving gastric cancer data illustrate the proposed method.}, address = {Department of Experimental Statistics, Louisiana State University, Baton Rouge, U.S.A.; Department of Mathematics and Statistics, Dalhousie University, Halifax, Canada}, author = {Downer, Robert G. and Hamilton, David C.}, citeulike-article-id = {5770875}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/1521-4036(200008)42:4%3C395::AID-BIMJ395%3E3.0.CO;2-F}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/72513884/ABSTRACT}, doi = {10.1002/1521-4036(200008)42:4%3C395::AID-BIMJ395%3E3.0.CO;2-F}, issn = {1521-4036}, journal = {Biometrical Journal}, keywords = {estimate, multinomial, penalization, shrinkage}, number = {4}, pages = {395--415}, posted-at = {2009-09-16 17:30:25}, priority = {2}, title = {A Penalized Multinomial Approach to Smoothed Estimation of Disease Incidence}, url = {http://dx.doi.org/10.1002/1521-4036(200008)42:4%3C395::AID-BIMJ395%3E3.0.CO;2-F}, volume = {42}, year = {2000} }

TY - JOUR ID - citeulike:5770875 L3 - citeulike-article-id:5770875 N2 - Raw estimates of disease rates over a geographical region are frequently quite variable, even though one may reasonably expect adjacent communities to have similar true rates. Smoother estimates are obtained by incorporating a penalty into a multinomial likelihood estimation procedure. For each pair of locations, this penalty increases with the difference between the rates and decreases with the distance between the two sites. The resulting estimates have smaller mean squared error than the raw estimates. Expansions are developed which demonstrate the contributions of the smoothing constant, spatial configuration, risk population and raw estimates to the amount of smoothing. Simulations and an example involving gastric cancer data illustrate the proposed method. IS - 4 JF - Biometrical Journal SN - 1521-4036 AD - Department of Experimental Statistics, Louisiana State University, Baton Rouge, U.S.A.; Department of Mathematics and Statistics, Dalhousie University, Halifax, Canada EP - 415 TI - A Penalized Multinomial Approach to Smoothed Estimation of Disease Incidence VL - 42 SP - 395 KW - estimate KW - multinomial KW - penalization KW - shrinkage AU - Downer, Robert AU - Hamilton, David PY - 2000/// UR - http://dx.doi.org/10.1002/1521-4036(200008)42:4%3C395::AID-BIMJ395%3E3.0.CO;2-F ER -