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Testing Fundamentals

t-test in Python

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To perform a t-test in Python, you typically use the scipy library, specifically the scipy.stats.ttest_ind function for comparing the means of two independent samples. This function takes two arrays or lists of numeric values representing your groups and returns two important values: the t-statistic and the p-value. These outputs help you determine whether the difference in means between your groups is statistically significant, based on the hypotheses you have set up. The process of running a t-test in Python is straightforward and can be integrated into your analysis workflow with just a few lines of code.

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import numpy as np from scipy import stats # Simulated data for two independent groups group_a = np.array([23, 21, 19, 24, 20, 22, 25, 23, 21, 20]) group_b = np.array([30, 29, 31, 28, 32, 30, 29, 31, 28, 30]) # Perform an independent two-sample t-test t_statistic, p_value = stats.ttest_ind(group_a, group_b) print("t-statistic:", t_statistic) print("p-value:", p_value)

When you run ttest_ind, you receive two key outputs:

  • t-statistic: measures how different the group means are, relative to the variation in your data. A larger absolute t-statistic means a bigger difference between the groups;
  • p-value: tells you the probability of observing such a difference (or a more extreme one) if the null hypothesis were true—meaning, if there were actually no difference between the group means.

A small p-value (commonly less than 0.05) indicates that the observed difference is unlikely to be due to chance. In this case, you would reject the null hypothesis.

A large p-value suggests that any difference could plausibly be due to random variation, so you would not reject the null hypothesis.

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What does a small p-value indicate in the context of a t-test?

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t-test in Python

To perform a t-test in Python, you typically use the scipy library, specifically the scipy.stats.ttest_ind function for comparing the means of two independent samples. This function takes two arrays or lists of numeric values representing your groups and returns two important values: the t-statistic and the p-value. These outputs help you determine whether the difference in means between your groups is statistically significant, based on the hypotheses you have set up. The process of running a t-test in Python is straightforward and can be integrated into your analysis workflow with just a few lines of code.

123456789101112
import numpy as np from scipy import stats # Simulated data for two independent groups group_a = np.array([23, 21, 19, 24, 20, 22, 25, 23, 21, 20]) group_b = np.array([30, 29, 31, 28, 32, 30, 29, 31, 28, 30]) # Perform an independent two-sample t-test t_statistic, p_value = stats.ttest_ind(group_a, group_b) print("t-statistic:", t_statistic) print("p-value:", p_value)

When you run ttest_ind, you receive two key outputs:

  • t-statistic: measures how different the group means are, relative to the variation in your data. A larger absolute t-statistic means a bigger difference between the groups;
  • p-value: tells you the probability of observing such a difference (or a more extreme one) if the null hypothesis were true—meaning, if there were actually no difference between the group means.

A small p-value (commonly less than 0.05) indicates that the observed difference is unlikely to be due to chance. In this case, you would reject the null hypothesis.

A large p-value suggests that any difference could plausibly be due to random variation, so you would not reject the null hypothesis.

Все було зрозуміло?

Як ми можемо покращити це?

Дякуємо за ваш відгук!

Секція 1. Розділ 7
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