Geometric mean in DataFrame

user_6854929 0
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I am trying to get a geometric mean in rows, the DataFrame looks like this:

               PLTRNSU00013 PLSRBEX00014 PLATTFI00018 PLALMTL00023 PLAMBRA00013   PLAMICA00010 PLAMPLI00019 NL0000474351 PLAPATR00018 PLAPLS000016
 2010-07-01          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN  
 2010-10-01          NaN          NaN          NaN          NaN          NaN          NaN          NaN     0.968237          NaN          NaN 
 2011-01-01          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN  
 2011-04-01          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN  
 2011-07-01     0.979871          NaN          NaN          NaN          NaN          NaN          NaN      1.00999          NaN          NaN 
 2011-10-01          NaN          NaN          NaN          NaN          NaN       1.00737         NaN          NaN          NaN          NaN  
 2012-01-01          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN      1.05766          NaN 
 2012-04-01          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN     0.979955          NaN 
 2012-07-01          NaN          NaN          NaN          NaN          NaN          NaN          NaN          NaN      1.01718          NaN 
 2012-10-01          NaN     0.916302          NaN          NaN          NaN          NaN          NaN     0.979858          NaN          NaN

I did not find any pandas buildin method, so I was using the gmean from scipy from scipy.stats.mstats import gmean but when called on on row:

In [285]:gmean(DataFrame.loc['2015-10-01'])
Traceback (most recent call last):

  File "<ipython-input-28-e9186c65a04d>", line 1, in <module>
    gmean(DataFrame.loc['2015-10-01'])

  File "D:\Python\lib\site-packages\scipy\stats\stats.py", line 305, in gmean
    log_a = np.log(np.array(a, dtype=dtype))

 AttributeError: 'float' object has no attribute 'log'

I am getting and exception AttributeError I tried getting rid of the Nan with

In [287]: gmean(DataFrame.loc['2015-10-01'].dropna())
Traceback (most recent call last):

  File "<ipython-input-29-e8807696d6be>", line 1, in <module>
    gmean(DataFrame.loc['2015-10-01'].dropna())

  File "D:\Python\lib\site-packages\scipy\stats\stats.py", line 305, in gmean
    log_a = np.log(np.array(a, dtype=dtype))

AttributeError: 'numpy.float64' object has no attribute 'log'

I can do it manually with math pow method, but offcourse it is very inefficient, it works only with scalars.

pandas scipy python
4 Answers

We can do it manually with numpy:

np.exp(np.log(df.prod(axis=1))/df.notna().sum(1))

Output:

2010-07-01         NaN
2010-10-01    0.968237
2011-01-01         NaN
2011-04-01         NaN
2011-07-01    0.994817
2011-10-01    1.007370
2012-01-01    1.057660
2012-04-01    0.979955
2012-07-01    1.017180
2012-10-01    0.947547
dtype: float64
user_42384080 
from scipy.stats import gmean
df["gmean"] = df.apply(gmean, axis=1)
user_74113670

Not sure, why gmean didn't work for you. Have you already checked the datatypes of your columns? are they probably not np.float32 or np.float64?

A solution like proposed by Quang Hoang could work, but I guess only if the product does not produce an overflow. I immagine the gmean takes the logs, sums the results up, builds the average and returns e^(average).

You could of course do this by hand, if you like. Dropping the NAs before (or using an indexer that just ignores them).

So it would be something like:

import numpy as np
values= your_df.loc[your_id]
indexer= ~values.isna()
avg_log=values[indexer].map(np.log).mean()
np.exp(avg_log)

If you use this method, make sure to use at least np.float64 for the log and mean opreations.

user_69251850

The geometric mean is the nth root of the product of the series. That means it is also exp(mean of logs of values), like so using numpy:

df.apply(lambda x: np.exp(np.mean(np.log(x))), axis = 1)

Output

2010-07-01         NaN
2010-10-01    0.968237
2011-01-01         NaN
2011-04-01         NaN
2011-07-01    0.994817
2011-10-01    1.007370
2012-01-01    1.057660
2012-04-01    0.979955
2012-07-01    1.017180
2012-10-01    0.947547
dtype: float64
user_152861190
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