Filtering out outliers in Pandas dataframe with rolling median - pandas

Question

I am trying to filter out some outliers from a scatter plot of GPS elevation displacements with dates
I'm trying to use df.rolling to compute a median and standard deviation for each window and then remove the point if it is greater than 3 standard deviations.
However, I can't figure out a way to loop through the column and compare the the median value rolling calculated.
Here is the code I have so far
import pandas as pd
import numpy as np
def median_filter(df, window):
cnt = 0
median = df['b'].rolling(window).median()
std = df['b'].rolling(window).std()
for row in df.b:
#compare each value to its median
df = pd.DataFrame(np.random.randint(0,100,size=(100,2)), columns = ['a', 'b'])
median_filter(df, 10)
How can I loop through and compare each point and remove it?

Answer 1

Just filter the dataframe
df['median']= df['b'].rolling(window).median()
df['std'] = df['b'].rolling(window).std()
#filter setup
df = df[(df.b <= df['median']+3*df['std']) & (df.b >= df['median']-3*df['std'])]

Answer 2

There might well be a more pandastic way to do this - this is a bit of a hack, relying on a sorta manual way of mapping the original df's index to each rolling window. (I picked size 6). The records up and until row 6 are associated with the first window; row 7 is the second window, and so on.
n = 100
df = pd.DataFrame(np.random.randint(0,n,size=(n,2)), columns = ['a','b'])
## set window size
window=6
std = 1 # I set it at just 1; with real data and larger windows, can be larger
## create df with rolling stats, upper and lower bounds
bounds = pd.DataFrame({'median':df['b'].rolling(window).median(),
'std':df['b'].rolling(window).std()})
bounds['upper']=bounds['median']+bounds['std']*std
bounds['lower']=bounds['median']-bounds['std']*std
## here, we set an identifier for each window which maps to the original df
## the first six rows are the first window; then each additional row is a new window
bounds['window_id']=np.append(np.zeros(window),np.arange(1,n-window+1))
## then we can assign the original 'b' value back to the bounds df
bounds['b']=df['b']
## and finally, keep only rows where b falls within the desired bounds
bounds.loc[bounds.eval("lower<b<upper")]

Answer 3

This is my take on creating a median filter:
def median_filter(num_std=3):
def _median_filter(x):
_median = np.median(x)
_std = np.std(x)
s = x[-1]
return s if s >= _median - num_std * _std and s <= _median + num_std * _std else np.nan
return _median_filter
df.y.rolling(window).apply(median_filter(num_std=3), raw=True)