Created
August 17, 2020 10:04
-
-
Save DexGroves/f41331c2f7029d8adc2d336b4342fe03 to your computer and use it in GitHub Desktop.
Revisions
-
DexGroves created this gist
Aug 17, 2020 .There are no files selected for viewing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -0,0 +1,36 @@ import numpy as np import pandas as pd from sklearn.linear_model import LinearRegression N = 10_000 np.random.seed(42) df = pd.DataFrame(index=np.arange(N)) df['x2'] = np.random.choice([1,2,3], size=N) df['x1'] = np.random.normal(size=N) df['y'] = np.nan df.loc[df.x2 == 1, 'y'] = df.x1 * 0 df.loc[df.x2 == 2, 'y'] = df.x1 * 0 df.loc[df.x2 == 3, 'x1'] = df.loc[df.x2 == 3, 'x1'] / 10 df.loc[df.x2 == 3, 'y'] = df.x1 * 10 df.y += np.random.normal(scale=0.1, size=N) flm = LinearRegression() flm.fit(X=df[['x1', 'x2']], y=df.y) intercept, coef = flm.intercept_, flm.coef_ lms = {} for x2, grp in df.groupby('x2'): lm = LinearRegression() lm.fit(X=grp[['x1']], y=grp.y) lms[x2] = dict(N=len(grp), model=lm) # Partial regression coefficient for X1 coef[0] # Weighted average of individual regression coefficients on X1 sum([lm['model'].coef_ * lm['N'] for lm in lms.values()]) / N