Course Content
Learning Statistics with Python
Learning Statistics with Python
2. Mean, Median and Mode with Python
4. Covariance vs Correlation
Advanced Confidence Interval Calculation with Python
If working with a small distribution (size β€ 30) that approximates the normal distribution, use t-statistics.
How to calculate the confidence interval?
python
- The
t.interval()
function fromscipy.stats
is used for the Student's T distribution. 0.95
represents the confidence level (also known as thealpha
parameter).len(data) - 1
is the degrees of freedom (df
), which is the sample size minus one.loc
represents the mean of the sample data.sem
represents the standard error of the mean.
Degrees of Freedom
Degrees of freedom refer to the number of independent information elements used to estimate a parameter.
The formula for degrees of freedom is N - 1, where N is the sample size.
You can modify the alpha parameter to observe how it affects the confidence interval.
import scipy.stats as st import numpy as np data = [104, 106, 106, 107, 107, 107, 108, 108, 108, 108, 108, 109, 109, 109, 110, 110, 111, 111, 112] # Calculate the confidence interval confidence = st.t.interval(0.95, len(data)-1, loc = np.mean(data), scale = st.sem(data)) print(confidence)
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SectionΒ 5. ChapterΒ 6