Hey ya Marvin, I never paid much attention to the ratios since I rarely have been to the doctor for the last 10 years or so. This is not a smart thing to do! I started to get back on track summer of 2014 and then started LCHF October this year. I had a checkup one month before I started and got the lipids, I had an intermediate checkup for another issue and requested another lipid panel. I still had in my mind that all this fat I've been eating was going to wack-out some of the numbers but they all moved.

9/30/2015 Tri/HDL ratio 2.6
2/6/2016 Tri/HDL radio 1.6

The weird thing is that my LDL went down from 120 to 75 and the fats I primarily eat are saturated animal fat.

So is the ratio suppose to go down in general? Yes. What will happen for you? Who knows, but I hope the result pleases you and your doctor.