Like increases don't stack. Anything that causes an actual size increase does not stack with themselves. Anything that gives an "effective size increase" without actually growing it do not stack. You can stack these two types together however. For example lead blades+impact enchantment do not stack but either of them stack with enlarge person.
Like what Texas Snyper said, it depends on the source and effect.
On my animal companion I cast Animal Growth and Strong Jaw all the time and the companion took Improved Natural Attack and all of that stacks.
My fighter has Juggernaut's Pauldrons that make her large like Enlarge Person and she uses an impact weapon so those stack. She could not also gain the benefit of Lead Blades if she was somehow able to get that cast on herself. She could, however, through various classes or archetypes use a larger sized weapon with impact on it to get yet another size boost as that is not a damage category increase (Lead Blades, Strong Jaw, Impact, etc.) or a size category increase (Enlarge Person, Righteous Might, Animal Growth, Giant Form, etc.) so it would stack.
I hope that helps.
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Okay, that makes sense. Improved Natural Attack uses the "as if one size category larger" wording, so that obviously falls under an effective size bonus. Could I ask for a hand interpreting this one? From the Master Chymist class features:
Furious Mutagen (Ex): The damage dice for the feral mutagen's bite and claw attacks increase by one die step. The character must have an effective alchemist level (alchemist level plus chymist level) of at least 11 and must have the feral mutagen discovery or advanced mutagen to select this ability.It doesn't reference size at all, so I'm not sure.
Correct, that is not a size increase, so it would stack with size increase.
Okay, that makes sense. Improved Natural Attack uses the "as if one size category larger" wording, so that obviously falls under an effective size bonus.
Since the feat says "The damage for this natural attack increases by one step on the following list, as if the creature's size had increased by one category", I take that to mean that is a progression like a size increase would entail, but it is not actually a size increase bonus, so it should stack with the spells or effects that increase size, e.g. Enlarge Person, Animal Growth, etc.