The data below are from a health testing centre over 8 years so there are different people being tested there each year. All I really want to show is that the amount of females being tested is different over the different years. The data look like this:
YEAR FEMALE MALE TOTAL 2002 50 7 57 2003 126 50 176 2004 339 68 407 2005 401 158 559 2006 639 328 967 2007 744 600 1344 2008 570 526 1096 2009 452 448 900 2010 561 372 933
I think these data are not actually repeated measures, because each year different individuals are being tested. Moreover, the data are counts in nature. So, I was just thinking of using Runs test to show if the amount of females being tested is different over the different years. Because Runs test is a test of randomness. The alternative hypothesis should be indicating some trend in the data.
Am I right that the data are not repeated measures? Moreover, is the concept of Runs test appropriate here?
What would the test be if I wanted to test "if the proportion of females being tested is different over the different years"? I think this is a more sensible test to do, but how can I do it?
I have several comparisons like this, so it would be good to know if I'm using the wrong test! Any suggestion regarding the test procedure will be greatly appreciated.