ab-test-analysis
Design and analyze A/B tests, calculate statistical significance, and determine sample sizes…
Analyze user conversion funnels, identify drop-off points, and optimize conversion rates for conversion optimization and user flow analysis
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Analyze user conversion funnels, identify drop-off points, and optimize conversion rates for conversion optimization and user flow analysis
name: Funnel Analysis description: Analyze user conversion funnels, identify drop-off points, and optimize conversion rates for conversion optimization and user flow analysis
Funnel analysis tracks user progression through sequential steps, identifying where users drop off and optimizing each stage for better conversion.
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
# Create sample funnel data
np.random.seed(42)
funnel_stages = ['Landing Page', 'Sign Up', 'Product Selection', 'Add to Cart', 'Checkout', 'Payment', 'Confirmation']
# Simulate user journey (progressive drop-off)
data = []
users_at_stage = 100000
for i, stage in enumerate(funnel_stages):
# Progressively lower retention
drop_off_rate = 0.15 + (i * 0.05) # Increasing drop-off
users_at_stage = int(users_at_stage * (1 - drop_off_rate))
for _ in range(users_at_stage):
data.append({
'user_id': f'user_{np.random.randint(0, 1000000)}',
'stage': stage,
'timestamp': np.random.randint(0, 365),
})
df = pd.DataFrame(data)
# 1. Funnel Counts
funnel_counts = df['stage'].value_counts().reindex(funnel_stages)
print("Funnel Counts by Stage:")
print(funnel_counts)
# 2. Funnel Metrics
funnel_metrics = pd.DataFrame({
'Stage': funnel_stages,
'Users': funnel_counts.values,
})
funnel_metrics['Drop-off'] = funnel_metrics['Users'].shift(1) - funnel_metrics['Users']
funnel_metrics['Drop-off %'] = (funnel_metrics['Drop-off'] / funnel_metrics['Users'].shift(1) * 100).round(2)
funnel_metrics['Conversion %'] = (funnel_metrics['Users'] / funnel_metrics['Users'].iloc[0] * 100).round(2)
print("\nFunnel Metrics:")
print(funnel_metrics)
# 3. Visualization - Funnel Chart
fig, axes = plt.subplots(1, 2, figsize=(14, 6))
# Traditional funnel visualization
ax = axes[0]
colors = plt.cm.RdYlGn_r(np.linspace(0.3, 0.7, len(funnel_metrics)))
for idx, (stage, users) in enumerate(zip(funnel_metrics['Stage'], funnel_metrics['Users'])):
# Create trapezoid-like bars
width = users / funnel_metrics['Users'].max()
y_pos = len(funnel_metrics) - idx - 1
ax.barh(y_pos, width, left=(1 - width) / 2, height=0.6, color=colors[idx], edgecolor='black')
ax.text(-0.05, y_pos, stage, ha='right', va='center', fontsize=10)
ax.text(0.5, y_pos, f"{users:,}", ha='center', va='center', fontsize=9, fontweight='bold')
ax.set_xlim(0, 1)
ax.set_ylim(-0.5, len(funnel_metrics) - 0.5)
ax.set_xticks([])
ax.set_yticks([])
ax.set_title('Conversion Funnel')
# Step-by-step conversion
ax2 = axes[1]
x_pos = np.arange(len(funnel_stages))
colors2 = plt.cm.Spectral(np.linspace(0, 1, len(funnel_stages)))
bars = ax2.bar(x_pos, funnel_metrics['Users'], color=colors2, edgecolor='black', alpha=0.7)
# Add value labels
for i, (bar, users, conv) in enumerate(zip(bars, funnel_metrics['Users'], funnel_metrics['Conversion %'])):
height = bar.get_height()
ax2.text(bar.get_x() + bar.get_width() / 2., height,
f'{int(users):,}\n({conv:.1f}%)',
ha='center', va='bottom', fontsize=9)
ax2.set_ylabel('User Count')
ax2.set_title('Users by Stage')
ax2.set_xticks(x_pos)
ax2.set_xticklabels(funnel_stages, rotation=45, ha='right')
ax2.grid(True, alpha=0.3, axis='y')
plt.tight_layout()
plt.show()
# 4. Drop-off Analysis
fig, ax = plt.subplots(figsize=(12, 6))
# Filter out first stage (no drop-off from before)
drop_off_data = funnel_metrics[1:].copy()
drop_off_data = drop_off_data[drop_off_data['Drop-off'] > 0]
colors_drop = ['#d62728' if x > drop_off_data['Drop-off'].median() else '#2ca02c'
for x in drop_off_data['Drop-off']]
bars = ax.barh(drop_off_data['Stage'], drop_off_data['Drop-off %'], color=colors_drop, edgecolor='black')
# Add value labels
for i, (bar, drop_pct) in enumerate(zip(bars, drop_off_data['Drop-off %'])):
width = bar.get_width()
ax.text(width, bar.get_y() + bar.get_height() / 2.,
f'{drop_pct:.1f}%',
ha='left', va='center', fontsize=10, fontweight='bold')
ax.set_xlabel('Drop-off Rate (%)')
ax.set_title('Drop-off Rates by Stage')
ax.grid(True, alpha=0.3, axis='x')
plt.tight_layout()
plt.show()
# 5. Funnel Efficiency Matrix
efficiency_matrix = funnel_metrics[['Stage', 'Conversion %']].copy()
print("\nFunnel Efficiency (% of Initial Users):")
print(efficiency_matrix)
# 6. Stage-to-stage conversion
fig, ax = plt.subplots(figsize=(12, 6))
stage_conversion = []
for i in range(len(funnel_metrics) - 1):
conversion = (funnel_metrics.iloc[i + 1]['Users'] / funnel_metrics.iloc[i]['Users'] * 100)
stage_conversion.append({
'Transition': f"{funnel_metrics.iloc[i]['Stage']}\n→ {funnel_metrics.iloc[i+1]['Stage']}",
'Conversion %': conversion
})
stage_conv_df = pd.DataFrame(stage_conversion)
colors_stage = ['#2ca02c' if x > 80 else '#ff7f0e' if x > 60 else '#d62728'
for x in stage_conv_df['Conversion %']]
bars = ax.bar(ran488 production-ready AI prompts, all following a standardized template with validated quality gates. Transform ChatGPT, Claude, and other AI assistants into expert consultants.
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