Use the operator  module to get the corresponding functions for binary operations:
import operator
conversions = {
    '==': operator.eq,
    '+': operator.add
    ...
}
You would evaluate them like so:
op = conversions['==']
if op(stat, stat1):
    ...
Another method which is not as recommended is to use the underlying special method names to perform your operation:
conversions = {
    '==': '__eq__',
    '!=': '__ne__',
    '>=': '__ge__',
    ...
}
Now when evaluating your code:
op = conversions['==']
if getattr(stat, op)(stat1):
    ...
To create a full conversions list, use this website to get the method names of binary operations - arithmetic ones like addition and logical ones like greater than.