The biggest speed "improvements" usually just come from better understanding what PHP is doing in the code. Let the PHP authors worry about the actual executable code optimization. You should worry about using the best structures and syntax in your PHP script.
I write code with lots of loops which build html tables. I experienced significant performace gains when I quit using double quotes for everything. Single quotes are not scanned by the PHP engine and are thus traversed faster.
Compare:
echo "Fixed text that never changes. A $variable, and $another";
to
echo 'Fixed text that never changes. A ',$variable, ' and ',$another;
And yes that is a comma. Concatenation (using a period) takes extra time!
I'm sure there are other tips, I'll let other experts add them. This is just something I think many beginners could benefit from.