German Americans especially regarding pastries, meats and sausages, and above all, beer. Frankfurters (or "wieners", originating from Frankfurt am Main and Vienna, respectively), hamburgers, bratwurst, sauerkraut, and strudel are common dishes. German bakers introduced the pretzel, which is popular across the United States. Germans introduced America to lager, the most-produced beer style in the United States, and have been the dominant ethnic group in the beer industry since 1850. The oldest extant brewery in the United States is D. G. Yuengling & Son of Pottsville, Pennsylvania (approximately 80 miles northwest of Philadelphia), founded in 1829 by an immigrant from Aldingen in what
Time-varying covariate of residence. For example, if a person is born at time 0 in area A, moves to area B at time 5, and is diagnosed with cancer at time 8, two observations would be made. One with a length of 5 (5 − 0) in area A, and one with a length of 3 (8 − 5) in area B. Time-varying covariate A time-varying covariate (also called time-dependent covariate) is a term used in statistics, particularly in survival analyses. It reflects the phenomenon that a covariate is not necessarily constant through the whole study. For instance, if one wishes to