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A Python package for A/B testing statistical analysis

Project description

owl_ab_test

A Python package for A/B testing statistical analysis. This package provides tools for analyzing the results of A/B tests with a focus on proportion testing.

Installation

pip install owl_ab_test

Features

  • Calculate proportion-based statistics for A/B tests including lift, p-values, and confidence intervals
  • Process multiple metrics simultaneously
  • Generate visualizations of confidence intervals using Plotly
  • Handle control and multiple treatment groups
  • Built-in error handling for invalid inputs

Usage

Basic Example

from owl_ab_test import calculate_proportion_stats, process_proportion_stats, plot_confidence_intervals
import pandas as pd

# Calculate statistics for a single metric
stats = calculate_proportion_stats(
    success_count=150,    # Number of successes in treatment group
    total_count=1000,     # Total sample size in treatment group
    control_success=120,  # Number of successes in control group
    control_total=1000,   # Total sample size in control group
    confidence_level=0.95 # Optional confidence level (default: 0.95)
)

print(f"Lift: {stats['lift']:.2%}")
print(f"P-value: {stats['p_value']:.4f}")
print(f"95% CI: ({stats['ci_lower']:.2%}, {stats['ci_upper']:.2%})")

Processing Multiple Metrics

# Example DataFrame structure
data = {
    'variant': ['control', 'treatment_a', 'treatment_b'],
    'bucketed_visitors': [1000, 1000, 1000],
    'trial_starts': [120, 150, 140],
    'purchases': [60, 75, 70]
}
df = pd.DataFrame(data)

# Configure metrics to analyze
metrics_config = {
    'trial_conversion': {
        'success_col': 'trial_starts',
        'total_col': 'bucketed_visitors'
    },
    'purchase_conversion': {
        'success_col': 'purchases',
        'total_col': 'bucketed_visitors'
    }
}

# Process all metrics
results = process_proportion_stats(df, metrics_config)

Visualizing Results

# Create a confidence interval plot
metric_mapping = {
    'trial_conversion': 'Trial Conversion Rate',
    'purchase_conversion': 'Purchase Conversion Rate'
}

fig = plot_confidence_intervals(
    results,
    metric_mapping=metric_mapping,
    width=900,
    height=400
)
fig.show()

API Reference

calculate_proportion_stats

calculate_proportion_stats(success_count, total_count, control_success, control_total, confidence_level=0.95)

Calculates statistical metrics for proportion-based A/B tests.

Parameters:

  • success_count (int): Number of successes in treatment group
  • total_count (int): Total sample size in treatment group
  • control_success (int): Number of successes in control group
  • control_total (int): Total sample size in control group
  • confidence_level (float, optional): Confidence level for intervals (default: 0.95)

Returns:

  • dict with keys:
    • lift: Relative improvement over control
    • statistic: Z-test statistic
    • p_value: Two-sided p-value
    • ci_lower: Lower bound of confidence interval for relative lift
    • ci_upper: Upper bound of confidence interval for relative lift

process_proportion_stats

process_proportion_stats(df, metrics_config)

Processes multiple metrics for A/B test analysis.

Parameters:

  • df (pandas.DataFrame): DataFrame containing experiment data
    • Required columns: 'variant' plus columns specified in metrics_config
  • metrics_config (dict): Configuration for metrics to analyze
    • Keys: metric names
    • Values: dict with 'success_col' and 'total_col' keys

Returns:

  • pandas.DataFrame with columns:
    • Metric: Name of the metric
    • Group: Variant name
    • Value: Raw proportion
    • Lift: Relative lift vs control
    • Statistic: Z-test statistic
    • P-Value: Two-sided p-value
    • CI_Lower: Lower confidence interval
    • CI_Upper: Upper confidence interval

plot_confidence_intervals

plot_confidence_intervals(results, metric_mapping=None, width=900, height=400)

Creates a visualization of confidence intervals for experiment results.

Parameters:

  • results (pandas.DataFrame): Results DataFrame from process_proportion_stats
  • metric_mapping (dict, optional): Maps metric names to display names
  • width (int, optional): Plot width in pixels (default: 900)
  • height (int, optional): Plot height in pixels (default: 400)

Returns:

  • plotly.graph_objects.Figure: Interactive confidence interval plot

Requirements

  • Python >=3.7
  • numpy
  • pandas
  • scipy
  • plotly

Notes

  • The package uses z-test statistics assuming large sample sizes
  • Confidence intervals are calculated for relative lift over control
  • The visualization uses Plotly for interactive plots
  • Treatment groups are compared against the control group specified by 'variant' == 'control'

License

MIT License

Contributing

Contributions are welcome! Please feel free to submit a Pull Request.

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