How to compute Studentized Residuals in Python?

Question

I\'ve tried searching for an answer to this problem but so far I haven\'t found any. I used statsmodel to implement an Ordinary Least Squares regression model on a mean-impu

Answer 1

Use the OLSRresults.outlier_test() function to produce a dataset that contains the studentized residual for each observation.

For example:

#import necessary packages and functions
import numpy as np
import pandas as pd
import statsmodels.api as sm
from statsmodels.formula.api import ols

#create dataset
df = pd.DataFrame({'rating': [90, 85, 82, 88, 94, 90, 76, 75, 87, 86],
                   'points': [25, 20, 14, 16, 27, 20, 12, 15, 14, 19]})

#fit simple linear regression model
model = ols('rating ~ points', data=df).fit()

#calculate studentized residuals
stud_res = model.outlier_test()

#display studentized residuals
print(stud_res)

student_resid    unadj_p     bonf(p)
0   -0.486471   0.641494    1.000000
1   -0.491937   0.637814    1.000000
2    0.172006   0.868300    1.000000
3    1.287711   0.238781    1.000000
4    0.106923   0.917850    1.000000
5    0.748842   0.478355    1.000000
6   -0.968124   0.365234    1.000000
7   -2.409911   0.046780    0.467801
8    1.688046   0.135258    1.000000
9   -0.014163   0.989095    1.000000

This tutorial provides a full explanation: https://www.statology.org/studentized-residuals-in-python/