What lines of evidence attribute CO2 to global warming but do not depend on climate models?

All very interesting. All I know my world has been in a long term warming trend for over 16,000 years. Along the data curve there are thousands of short term rapid variations both increasing and decreasing.in temperature. I just do not see that much difference in what has been happening the last 200 years. We seem to have peaked out about 1998, and are now back down to about where we were 20 years ago. I would love to see a mathematical probability or statistical analysis that just takes the data from the 300,000 years of ice core samples and compares this with the last 100 years or so. Forget the chemical process theory, Climate process theories, and just look at the actual data we have.