If I have a dataframe that has columns that include the same name, is there a way to combine the columns that have the same name with some sort of function (i.e. sum)?
Here is possible simplier solution for common aggregation functions like sum, mean, median, max, min, std - only use parameters axis=1 for working with columns and level:
#coldspeed samples
np.random.seed(0)
df = pd.DataFrame(np.random.choice(50, (5, 5)), columns=list('AABBB'))
print (df)
print (df.sum(axis=1, level=0))
A B
0 91 6
1 48 76
2 29 60
3 39 108
4 41 75
df.columns = pd.MultiIndex.from_arrays([['one']*3 + ['two']*2, df.columns])
print (df.sum(axis=1, level=1))
A B
0 91 6
1 48 76
2 29 60
3 39 108
4 41 75
print (df.sum(axis=1, level=[0,1]))
one two
A B B
0 91 0 6
1 48 19 57
2 29 24 36
3 39 39 69
4 41 37 38
Similar it working for index, then use axis=0 instead axis=1:
np.random.seed(0)
df = pd.DataFrame(np.random.choice(50, (5, 5)), columns=list('ABCDE'), index=list('aabbc'))
print (df)
A B C D E
a 44 47 0 3 3
a 39 9 19 21 36
b 23 6 24 24 12
b 1 38 39 23 46
c 24 17 37 25 13
print (df.min(axis=0, level=0))
A B C D E
a 39 9 0 3 3
b 1 6 24 23 12
c 24 17 37 25 13
df.index = pd.MultiIndex.from_arrays([['bar']*3 + ['foo']*2, df.index])
print (df.mean(axis=0, level=1))
A B C D E
a 41.5 28.0 9.5 12.0 19.5
b 12.0 22.0 31.5 23.5 29.0
c 24.0 17.0 37.0 25.0 13.0
print (df.max(axis=0, level=[0,1]))
A B C D E
bar a 44 47 19 21 36
b 23 6 24 24 12
foo b 1 38 39 23 46
c 24 17 37 25 13
If need use another functions like first, last, size, count is necessary use coldspeed answer