h-index-guide

npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill h-index-guide --agent claude-code

Same command for any agent — swap --agent for codex, cursor, copilot.

# H-Index and Research Impact Metrics Guide Understand, calculate, and responsibly interpret bibliometric indicators including h-index, impact factor, and related metrics. ## Core Bibliometric Indicators ### H-Index The h-index (Hirsch index) is defined as: a researcher has an h-index of h if h of their papers have each been cited at least h times. **Example**: If a researcher has published 20 papers with citation counts [120, 80, 55, 40, 22, 18, 15, 12, 10, 8, 5, 3, 2, 2, 1, 1, 0, 0, 0, 0], their h-index is 10 (10 papers with at least 10 citations each). ```python def calculate_h_index(citation_counts): """Calculate h-index from a list of citation counts.""" sorted_counts = sorted(citation_counts, reverse=True) h = 0 for i, count in enumerate(sorted_counts): if count >= i + 1: h = i + 1 else: break return h # Example citations = [120, 80, 55, 40, 22, 18, 15, 12, 10, 8, 5, 3, 2, 2, 1, 1, 0, 0, 0, 0] print(f"h-index: {calculate_h_index(citations)}") # Output: 10 ``` ### Related Author-Level Metrics | Metric | Definition | Advantage | |--------|-----------|-----------| | **h-index** | h papers with >= h citations | Simple, robust to outliers | | **i10-index** | Number of papers with