Remove Outliers in Pandas DataFrame using Percentiles

Question

I have a DataFrame df with 40 columns and many records.

df:

User_id | Col1 | Col2 | Col3 | Col4 | Col5 | Col6 | Col7 |...| Col39

For each column except the user_id column I want to check for outliers and remove the whole record, if an outlier appears.

For outlier detection on each row I decided to simply use 5th and 95th percentile (I know it's not the best statistical way):

Code what I have so far:

P = np.percentile(df.Col1, [5, 95])
new_df = df[(df.Col1 > P[0]) & (df.Col1 < P[1])]

Question: How can I apply this approach to all columns (except User_id) without doing this by hand? My goal is to get a dataframe without records that had outliers.

Thank you!

Answer 1

Use this code and don't waste your time:

Q1 = df.quantile(0.25)
Q3 = df.quantile(0.75)
IQR = Q3 - Q1

df = df[~((df < (Q1 - 1.5 * IQR)) |(df > (Q3 + 1.5 * IQR))).any(axis=1)]

in case you want specific columns:

cols = ['col_1', 'col_2'] # one or more

Q1 = df[cols].quantile(0.25)
Q3 = df[cols].quantile(0.75)
IQR = Q3 - Q1

df = df[~((df[cols] < (Q1 - 1.5 * IQR)) |(df[cols] > (Q3 + 1.5 * IQR))).any(axis=1)]

Answer 2

The initial dataset.

print(df.head())

   Col0  Col1  Col2  Col3  Col4  User_id
0    49    31    93    53    39       44
1    69    13    84    58    24       47
2    41    71     2    43    58       64
3    35    56    69    55    36       67
4    64    24    12    18    99       67

First removing the User_id column

filt_df = df.loc[:, df.columns != 'User_id']

Then, computing percentiles.

low = .05
high = .95
quant_df = filt_df.quantile([low, high])
print(quant_df)

       Col0   Col1  Col2   Col3   Col4
0.05   2.00   3.00   6.9   3.95   4.00
0.95  95.05  89.05  93.0  94.00  97.05

Next filtering values based on computed percentiles. To do that I use an apply by columns and that's it !

filt_df = filt_df.apply(lambda x: x[(x>quant_df.loc[low,x.name]) & 
                                    (x < quant_df.loc[high,x.name])], axis=0)

Bringing the User_id back.

filt_df = pd.concat([df.loc[:,'User_id'], filt_df], axis=1)

Last, rows with NaN values can be dropped simply like this.

filt_df.dropna(inplace=True)
print(filt_df.head())

   User_id  Col0  Col1  Col2  Col3  Col4
1       47    69    13    84    58    24
3       67    35    56    69    55    36
5        9    95    79    44    45    69
6       83    69    41    66    87     6
9       87    50    54    39    53    40

Checking result

print(filt_df.head())

   User_id  Col0  Col1  Col2  Col3  Col4
0       44    49    31   NaN    53    39
1       47    69    13    84    58    24
2       64    41    71   NaN    43    58
3       67    35    56    69    55    36
4       67    64    24    12    18   NaN

print(filt_df.describe())

          User_id       Col0       Col1       Col2       Col3       Col4
count  100.000000  89.000000  88.000000  88.000000  89.000000  89.000000
mean    48.230000  49.573034  45.659091  52.727273  47.460674  57.157303
std     28.372292  25.672274  23.537149  26.509477  25.823728  26.231876
min      0.000000   3.000000   5.000000   7.000000   4.000000   5.000000
25%     23.000000  29.000000  29.000000  29.500000  24.000000  36.000000
50%     47.000000  50.000000  40.500000  52.500000  49.000000  59.000000
75%     74.250000  69.000000  67.000000  75.000000  70.000000  79.000000
max     99.000000  95.000000  89.000000  92.000000  91.000000  97.000000

How to generate the test dataset

np.random.seed(0)
nb_sample = 100
num_sample = (0,100)

d = dict()
d['User_id'] = np.random.randint(num_sample[0], num_sample[1], nb_sample)
for i in range(5):
    d['Col' + str(i)] = np.random.randint(num_sample[0], num_sample[1], nb_sample)

df = DataFrame.from_dict(d)

Answer 3

What you are describing is similar to the process of winsorizing, which clips values (for example, at the 5th and 95th percentiles) instead of eliminating them completely.

Here's an example:

import pandas as pd
from scipy.stats import mstats
%matplotlib inline

test_data = pd.Series(range(30))
test_data.plot()

# Truncate values to the 5th and 95th percentiles
transformed_test_data = pd.Series(mstats.winsorize(test_data, limits=[0.05, 0.05])) 
transformed_test_data.plot()

Answer 4

Use an inner join. Something like this should work

cols = df.columns.tolist()
cols.remove('user_id') #remove user_id from list of columns

P = np.percentile(df[cols[0]], [5, 95])
new_df = df[(df[cols[0] > P[0]) & (df[cols[0]] < P[1])]
for col in cols[1:]:
    P = np.percentile(df[col], [5, 95])
    new_df = new_df.join(df[(df[col] > P[0]]) & (df[col] < P[1])], how='inner')

Answer 5

To trim the entire DataFrame based on a single column, here is an easier way. Remove n rows from the top and bottom after sorting.

nb_to_trim = round(len(df.index) * 0.05)
df = df.sort_values(col1).iloc[nb_to_trim:-nb_to_trim, :]