I have ten-year data for crude number of certain events (cases of disease [counts]) from one country. Would it be appropriate to use Poisson regression with dependent variable as number of cases and only one independent variable 'Year' (coded as 2001, 2002 . . . 2010) to test for linear trend over time? Hence, if 'Year' is statistically significant, would it imply linear time trend?
Would this approach ignore the 'serial dependence'?
How/What would be the best way to study trend over time? R/Stata code/packages would really help me please!