I have data of 11 years where for each year the values are binary (0 and 1). The sample sizes for each year are different (for example for 1989 n=8 and for 2004 n=30). The goal is to see if there is a trend in the ratio of 1's over the years (for example the ratio for 1989 would be 1/8). Can you suggest any method to do so?
Year checks_at_least_one
1989 0
1989 1
1989 0
1989 0
1989 0
1989 0
1989 0
1989 0
1994 1
1994 0
1994 0
1994 0
1994 0
1994 0
1994 0
1994 0
1994 0
1995 0
1995 0
1995 0
1996 0
1996 0
1996 0
1996 1
1996 0
1996 0
1996 0
1996 0
1996 0
1996 0
1996 0
1996 0
1996 0
1996 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
1999 0
2004 1
2004 0
2004 1
2004 1
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2004 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 1
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2005 1
2005 0
2005 0
2005 0
2005 0
2005 0
2005 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 1
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 1
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2006 0
2009 1
2009 0
2009 0
2009 1
2009 1
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2009 0
2014 1
2014 1
2014 0
2014 1
2014 1
2014 1
2014 0
2014 1
2014 1
2014 1
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2014 0
2015 1
2015 0
2015 1
2015 0
2015 0
2015 1
2015 0
2015 0
2015 0
2015 0
2015 0
2015 0
2015 0
2015 0
2015 0
2015 1
2015 0
2015 1
2015 0
2015 0
2015 0
2015 0
2015 0
2015 1
2015 0
2015 1
2015 0
2015 0
2015 0
2015 0
2016 0
2016 1
2016 0
2016 1
2016 0
2016 0
2016 0
2016 0
2016 0
2016 0
2016 0
2016 0
2016 0
2016 1
2016 1
2016 0
2016 0
2016 0
2016 1
2016 1
2016 0
2016 0
2016 0
2016 0
2016 1
2016 0
2016 0
2016 0
2016 0
2016 0