42. ANOVA

ANOVA = Analysis of variance

import numpy as np

import matplotlib.pyplot as plt

import scipy.stats as stats

42.1. Test on Two Gaussians

Generate Gaussian data

a_dist = np.random.normal(loc=0, scale=1, size=1000)
b_dist = np.random.normal(loc=0.5, scale=1, size=1000)

fig, ax = plt.subplots(figsize=(10, 6.18))
ax.hist(a_dist, bins=50, density=True)
ax.hist(b_dist, bins=50, density=True)
ax.set_xlabel("Values")
ax.set_title("Histogram of Distribution A and B")
plt.show()

One-way ANOVA

stats.f_oneway(a_dist,
               b_dist)

F_onewayResult(statistic=120.15423777326816, pvalue=3.4231303945328154e-27)