The shotgun is not picky about what cannon fodder you decide to run through it, but the choke is, and outside of trap shooters few seldom ever pay attention to what they screw into the end of the barrel, or what a fixed barrel will do with the shot charge you decided to run down the barrel.
The first thing to check with either a fixed or choke tube barrel is where it hits. This is accomplished in a similar manner as a rifle. place your patterning target, which can be nothing more than a 36 or 40 inch piece of a cardboard box with butchers paper taped to it at 30 or 40 yards, (your choice) mark the center of the target with a round dot with a crayon or marker pen. After all you have to have a point to aim at. Using some form of rest, like you do with a rifle fire a shot at the center of your target. The center of the shot group should be centered on the target, the Pellets in a 36 inch circle should be appropriate for the range that you are shooting at.
If the pattern is not centered that means that your choke or barrel is not shooting straight. If it's a fixed barrel about the only thing you can di is send it out and have screw in choke tubes installed. You would be surprised how many barrels fall in this category. All those misses may not have really been your fault. The other thing you are looking for is the number of pellets in the shot pattern. If a shotgun with screw in chokes fails either of these two tests change the choke for another one. Another thing to pay attention to is whether that the choke you are using is compatible with the ammo you are shooting. A choke that is rated for lead only will not shoot steel or other types of shot safely. Make sure the choke is rated for what type of shot you are using.