Call Center Handle Time ANOVA

import matplotlib.pyplot as plt
import numpy as np
import scipy.stats as stats

np.random.seed(1414)

# Average handle time in minutes
team_alpha = np.random.normal(8.5, 2.0, 100)
team_beta = np.random.normal(7.2, 1.8, 100)
team_gamma = np.random.normal(9.8, 2.5, 100)
team_delta = np.random.normal(6.5, 1.5, 100)

team_alpha = np.clip(team_alpha, 3, 18)
team_beta = np.clip(team_beta, 2, 15)
team_gamma = np.clip(team_gamma, 4, 20)
team_delta = np.clip(team_delta, 2, 12)

F_stat, p_value = stats.f_oneway(team_alpha, team_beta, team_gamma, team_delta)

fig, ax = plt.subplots(figsize=(12, 7), facecolor='#ffffff')
ax.set_facecolor('#ffffff')

colors = ['#F5276C', '#27D3F5', '#F5B027', '#6CF527']
data = [team_alpha, team_beta, team_gamma, team_delta]

bp = ax.boxplot(data, positions=[1, 2, 3, 4], widths=0.6, patch_artist=True,
                medianprops={'color': '#1f2937', 'linewidth': 2},
                whiskerprops={'color': '#9ca3af', 'linewidth': 1.5},
                capprops={'color': '#9ca3af', 'linewidth': 1.5},
                flierprops={'marker': 'o', 'markerfacecolor': '#d1d5db', 'markersize': 4})

for patch, color in zip(bp['boxes'], colors):
    patch.set_facecolor(color)
    patch.set_alpha(0.6)
    patch.set_edgecolor(color)
    patch.set_linewidth(2)

labels = ['Team Alpha', 'Team Beta', 'Team Gamma', 'Team Delta']

# Target AHT
ax.axhline(y=7.5, color='#22c55e', linestyle='--', alpha=0.7, linewidth=1.5)
ax.text(4.45, 7.5, 'Target', fontsize=8, color='#22c55e', va='center')

# FCR and CSAT
fcr = ['72%', '81%', '65%', '88%']
csat = ['4.1', '4.4', '3.8', '4.6']
for i, (d, f, c, color) in enumerate(zip(data, fcr, csat, colors)):
    ax.text(i+1, 0.5, f'FCR:{f} | CSAT:{c}', ha='center', fontsize=8, color=color)

# Stats header
stats_text = f"ANOVA: F={F_stat:.2f}, p={p_value:.4f} | Best: Team Delta (AHT={team_delta.mean():.1f}min)"
bbox = dict(boxstyle="round,pad=0.3", facecolor='#ecfdf5', edgecolor='#6CF527', lw=2)
ax.text(0.5, 1.02, stats_text, transform=ax.transAxes, fontsize=9, color='#1f2937',
        ha='center', va='bottom', fontfamily='monospace', bbox=bbox)

ax.set_xticks([1, 2, 3, 4])
ax.set_xticklabels(labels, fontsize=11, color='#1f2937')
ax.set_ylabel('Average Handle Time (minutes)', fontsize=12, color='#1f2937', fontweight='500')
ax.set_title('Customer Service Team Performance\nQ4 2024 Metrics', 
             fontsize=14, color='#1f2937', fontweight='bold', pad=25)

ax.tick_params(colors='#374151')
for spine in ax.spines.values():
    spine.set_color('#e5e7eb')
ax.yaxis.grid(True, color='#f3f4f6', linewidth=0.8)
ax.set_axisbelow(True)
ax.set_ylim(0, 22)

plt.tight_layout()
plt.show()