Welch's T-tests for Unequal Variances

Welch's Two-Sample T-tests

If the assumption for homogeneity of variances is violated, we can conduct a Welch's T-test instead.

To conduct a Welch two-sample t-test, one needs to use the stats.ttest_ind() method while passing “False” in the “equal_var” argument:

from scipy.stats import ttest_ind

ttest_ind(a, b, axis=0, equal_var=False)

Welch's One-Sample T-tests

To conduct a Welch one-sample t-test:

from scipy.stats import ttest_1samp
import numpy as np

# Define the sample data
sample_data = np.array([2.5, 3.0, 2.8, 3.2, 2.6, 3.1, 3.3, 2.7, 2.9, 3.0])

# Define the null hypothesis mean
null_mean = 3.0

# Calculate the t-statistic and p-value using scipy.stats.ttest_1samp
t_stat, p_val = ttest_1samp(sample_data, null_mean)

# Print the t-statistic and p-value
print("t-statistic:", t_stat)
print("p-value:", p_val)