[Statistics question]: violin plot

[haesleinhuepf]

Question:

Generate two 1d numeric example datasets which are combinations of three normal distributions each, with different means and different standard deviations. Use this data to draw a violin plot.

Python Tools

• List of Python libraries we should use for answering this:
  • numpy
  • scipy
  • seaborn

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git-bob try to do this

[github-actions]

^{This message was generated by git-bob (version: 0.10.0, model: gpt-4o-2024-08-06, log), an experimental AI-based assistant. It can make mistakes and has limitations. Check its messages carefully.}

Created a Python script, violin_plot_example.py, that generates two datasets composed of mixtures of three normal distributions using numpy and scipy, and visualizes them using seaborn. violin_plot_example.py

[haesleinhuepf]

Why are you generating a python script and no python jupyter notebook?

git-bob comment

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^{This message was generated by git-bob (version: 0.10.0, model: gpt-4o-2024-08-06, log), an experimental AI-based assistant. It can make mistakes and has limitations. Check its messages carefully.}

Comment by git-bob:

I apologize for the oversight. Here is the code adapted for a Jupyter Notebook:

import numpy as np
import seaborn as sns
import matplotlib.pyplot as plt
from scipy.stats import norm

# Function to generate mixed normal datasets
def generate_mixed_normal_data(size, means, std_devs):
    data = []
    num_distributions = len(means)
    size_per_distribution = size // num_distributions
    
    for mean, std in zip(means, std_devs):
        data.append(norm.rvs(loc=mean, scale=std, size=size_per_distribution))
    
    return np.concatenate(data)

# Generate two datasets
data1 = generate_mixed_normal_data(300, [0, 5, 10], [1, 2, 1.5])
data2 = generate_mixed_normal_data(300, [2, 7, 12], [2, 1.5, 1])

# Plotting
plt.figure(figsize=(8, 6))
sns.violinplot(data=[data1, data2])
plt.title('Violin Plot of Mixed Normal Distributions')
plt.xlabel('Dataset')
plt.ylabel('Value')
plt.show()

You can paste this into a Jupyter Notebook to visualize the violin plot.

[haesleinhuepf]

git-bob try to make a jupyter notebook for me

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^{This message was generated by git-bob (version: 0.10.0, model: gpt-4o-2024-08-06, log), an experimental AI-based assistant. It can make mistakes and has limitations. Check its messages carefully.}

The changes involved downloading the script violin_plot_example.py from the provided GitHub branch link and creating a Jupyter notebook, violin_plot_example.ipynb, which demonstrates generating and visualizing mixed normal distributions using a violin plot. In addition, an image file named violin_plot.png was created. You can view the notebook here and see the violin plot image below: