I have case fatality rates (deaths per 100 cases) for 2 different states receiving different treatments for 17 years.
What is the best statistical method to compare them? Relative risk, odds ratio, plain time series analysis, ...?
The data is like this:
Year St.1 Cases St.1 Deaths St.1 CFR St.2 Cases St.2 Deaths State2 CFR
1994 1836 383 20.86 583 121 20.75
1995 1246 257 20.63 1126 227 20.16
1996 1450 263 18.14 896 179 19.98
1997 2953 407 13.78 351 76 21.65
1998 1161 149 12.83 1061 195 18.55
1999 2924 434 14.84 1371 275 20.06
2000 1729 169 9.77 1170 253 21.62
2001 1888 275 14.57 1005 199 19.80
2002 919 178 19.37 604 133 22.02
2003 865 142 16.42 1124 237 21.09
2004 1543 131 8.49 1030 228 22.14
2005 2887 336 11.64 6061 1500 24.75
2006 1484 108 7.28 2320 528 22.76
2007 1592 75 4.71 3024 645 21.33
2008 1920 53 2.76 3012 537 17.83
2009 1477 40 2.71 3073 556 18.09
2010 1534 26 1.69 3540 494 13.95