skills/domains/business/innovation-management-guide/SKILL.md
Innovation metrics, R&D management research, and technology forecasting
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A skill for conducting research on innovation management, technology strategy, and R&D performance. Covers innovation measurement, technology forecasting, diffusion modeling, patent-publication linkage, and bibliometric analysis of research portfolios.
| Metric | Definition | Data Source | |--------|-----------|-------------| | R&D intensity | R&D spending / Revenue | Annual reports, Compustat | | Patent count | Granted patents per year | USPTO, EPO | | Citation-weighted patents | Patents weighted by forward citations | PatentsView | | New product revenue share | Revenue from products < 3 years old | Internal data | | Time to market | Concept to commercial launch | Project records | | Innovation efficiency | Revenue from new products / R&D spend | Combined internal data |
import pandas as pd
import numpy as np
def compute_innovation_scorecard(firm_data: pd.DataFrame) -> pd.DataFrame:
"""
Compute a multi-dimensional innovation scorecard for firms.
firm_data columns: firm_id, rd_spend, revenue, patents_filed,
patents_granted, citation_count, new_product_revenue, employees
"""
scorecard = pd.DataFrame()
scorecard["firm_id"] = firm_data["firm_id"]
# Input metrics
scorecard["rd_intensity"] = firm_data["rd_spend"] / firm_data["revenue"]
scorecard["rd_per_employee"] = firm_data["rd_spend"] / firm_data["employees"]
# Output metrics
scorecard["patent_yield"] = (
firm_data["patents_granted"] / (firm_data["rd_spend"] / 1e6)
)
scorecard["citation_impact"] = (
firm_data["citation_count"] / firm_data["patents_granted"].clip(lower=1)
)
scorecard["new_product_share"] = (
firm_data["new_product_revenue"] / firm_data["revenue"]
)
# Efficiency
scorecard["innovation_efficiency"] = (
firm_data["new_product_revenue"] / firm_data["rd_spend"]
)
# Normalize to percentile ranks within the sample
for col in scorecard.columns[1:]:
scorecard[f"{col}_rank"] = scorecard[col].rank(pct=True)
# Composite score (equal weights)
rank_cols = [c for c in scorecard.columns if c.endswith("_rank")]
scorecard["composite_score"] = scorecard[rank_cols].mean(axis=1)
return scorecard.sort_values("composite_score", ascending=False)
The Bass model is the foundational framework for forecasting technology adoption:
from scipy.optimize import curve_fit
def bass_model(t: np.ndarray, p: float, q: float, m: float) -> np.ndarray:
"""
Bass diffusion model for cumulative adoption.
t: time periods (0, 1, 2, ...)
p: coefficient of innovation (external influence)
q: coefficient of imitation (internal influence)
m: market potential (total eventual adopters)
Returns cumulative adoption at each time period.
"""
return m * (1 - np.exp(-(p + q) * t)) / (1 + (q / p) * np.exp(-(p + q) * t))
def bass_incremental(t: np.ndarray, p: float, q: float, m: float) -> np.ndarray:
"""Bass model incremental (new adopters per period)."""
F = bass_model(t, p, q, m) / m
f = (p + q * F) * (1 - F)
return m * f
def fit_bass_model(adoption_data: np.ndarray) -> dict:
"""
Fit Bass diffusion parameters to observed adoption data.
adoption_data: cumulative adoption counts per period.
"""
t = np.arange(len(adoption_data))
try:
popt, pcov = curve_fit(
bass_model, t, adoption_data,
p0=[0.01, 0.3, adoption_data[-1] * 2],
bounds=([0, 0, adoption_data[-1]], [1, 2, adoption_data[-1] * 10]),
maxfev=10000,
)
return {
"p_innovation": round(popt[0], 6),
"q_imitation": round(popt[1], 6),
"m_potential": round(popt[2], 0),
"peak_period": round(np.log(popt[1] / popt[0]) / (popt[0] + popt[1]), 1),
"q_p_ratio": round(popt[1] / popt[0], 2),
}
except RuntimeError:
return {"error": "convergence_failed"}
| Technology | p (innovation) | q (imitation) | q/p ratio | |-----------|---------------|---------------|-----------| | Consumer electronics | 0.01-0.03 | 0.3-0.5 | 10-50 | | Enterprise software | 0.005-0.02 | 0.2-0.4 | 10-80 | | Medical devices | 0.001-0.01 | 0.1-0.3 | 10-300 | | Social media platforms | 0.03-0.10 | 0.5-0.8 | 5-25 |
def analyze_research_portfolio(publications: pd.DataFrame) -> dict:
"""
Bibliometric analysis of an organization's research portfolio.
publications columns: doi, title, year, journal, citations,
fields (list), authors (list), affiliations (list)
"""
# Publication trend
annual_pubs = publications.groupby("year").size()
# Citation impact
citation_stats = {
"total_citations": publications.citations.sum(),
"mean_citations": publications.citations.mean(),
"median_citations": publications.citations.median(),
"h_index": compute_h_index(publications.citations.values),
}
# Research field distribution
all_fields = []
for fields in publications.fields:
all_fields.extend(fields)
field_dist = pd.Series(all_fields).value_counts().head(20)
# Collaboration patterns
collab_rate = publications.affiliations.apply(
lambda x: len(set(x)) > 1
).mean()
return {
"total_publications": len(publications),
"annual_trend": annual_pubs.to_dict(),
"citation_impact": citation_stats,
"top_fields": field_dist.to_dict(),
"collaboration_rate": round(collab_rate, 3),
}
def compute_h_index(citations: np.ndarray) -> int:
"""Compute h-index from an array of citation counts."""
sorted_cites = np.sort(citations)[::-1]
h = 0
for i, c in enumerate(sorted_cites):
if c >= i + 1:
h = i + 1
else:
break
return h
Technology performance typically follows an S-curve pattern:
| Method | Time Horizon | Data Requirements | Best For | |--------|-------------|-------------------|----------| | Delphi method | 5-30 years | Expert panels | Emerging technologies | | Trend extrapolation | 2-10 years | Historical time series | Incremental innovation | | Scenario planning | 5-20 years | Qualitative analysis | Strategic uncertainty | | Patent analysis | 3-10 years | Patent databases | Technology landscape | | Bibliometric mapping | 2-5 years | Publication data | Research front detection |
def open_innovation_metrics(firm_patents: pd.DataFrame,
firm_publications: pd.DataFrame,
alliances: pd.DataFrame) -> dict:
"""
Compute open innovation indicators for a firm.
"""
# Inbound openness: external knowledge sourcing
external_collab_pubs = firm_publications[
firm_publications.external_coauthors > 0
]
inbound_ratio = len(external_collab_pubs) / max(len(firm_publications), 1)
# Outbound openness: technology licensing, spin-offs
licensed_patents = firm_patents[firm_patents.licensed == True]
outbound_ratio = len(licensed_patents) / max(len(firm_patents), 1)
# Network diversity (alliance partner variety)
partner_industries = alliances.partner_industry.nunique()
return {
"inbound_openness": round(inbound_ratio, 3),
"outbound_openness": round(outbound_ratio, 3),
"alliance_count": len(alliances),
"partner_diversity": partner_industries,
}
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