For those wishing to look into what happens in various cases of interest, there are numerous "depth of field calculators" available.
Some caution is needed in applying them. Some use a fixed COCDL, which may or not be appropriate for all cases (especially when differing sensor sizes are involved).
Some allow us to choose a sensor size from a list and/or enter the sensor dimensions. Then they calculate a COCDL based on that (using a certain "premise") and use that in the calculations.
Some allow us to choose a sensor size but separately change the premise of COCDL choice.
These will all work, but we just need to pay attention to what is going on.
I do most of my DoF work with this Excel spreadsheet:
http://Dougkerr.net/Pumpkin/articles/DOF_calculator.xls
It allows us to use several schemes of systems of units (via different sheets).
It makes no presumptions for us. We must enter all the basic parameters of each case.
It allows a number of cases to be established (on different lines) so we can make comparisons.
An illustrative example is in place on the first line. It can of course be replaced by a specific example.
Best regards,
Doug