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Analytical pm

Skill aroyburman-codes/pm-skills/skills/analytical-pm

PM workflow and product thinking skills for AI product managers. 17 structured frameworks for PRDs, metrics, strategy, writing, prioritization, and more.

Install
npx -y skills add aroyburman-codes/pm-skills --skill analytical-pm

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Structured analytical and metrics framework for AI product roles. Covers: metrics, goal-setting, root-cause analysis, trade-offs, A/B tests.

SKILL.md

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Analytical PM Skill

Apply a structured framework to PM analytical, metrics, root-cause, and trade-off questions targeting AI product roles.

When to Use

  • User asks "What metrics would you use for X"
  • User asks "How would you measure success for X"
  • User asks "Metric X dropped 20%, diagnose it"
  • User asks about trade-offs between two product decisions
  • User asks "Define a North Star metric for X"
  • User says /analytical-pm followed by a question
  • Any question about metrics, goals, root-cause analysis, A/B tests, or trade-offs

Context

  • Tuned for: AI product roles at frontier AI companies
  • What matters: Translating product intuition into measurable outcomes and debugging complex systems with data
  • Common pitfall: Picking vanity metrics or being too qualitative. Be rigorous and quantitative.

Three Question Types

TYPE A: Metrics / Goal-Setting Questions

"Define success metrics for X" / "What would you measure for X" / "Set goals for X"

Framework: Analytical (6 Steps)

Step 1: Clarify the Product

  • What is the product? Who uses it? What value does it deliver?
  • What stage is it in? (launch, growth, mature, declining)
  • What's the business model? (subscription, API usage, freemium, enterprise)

Step 2: Define the North Star Metric (NSM)

The NSM must capture the core value exchange between product and user.

  • Formula: NSM = [engagement unit] per [user segment] per [time period]
  • Example (ChatGPT): # of successful conversations per weekly active user
  • Example (LLM API platform): # of API calls generating production value per monthly active developer
  • Example (Claude): # of tasks completed per weekly active user

Decompose the NSM into a metric tree:

NSM = Factor A x Factor B x Factor C

Step 3: Supporting Metrics (3-5)

Leading indicators that the NSM will grow. Organized by AARRR:

  • Acquisition: New users/developers, sign-up conversion
  • Activation: First successful use, time-to-value
  • Retention: D7/D30 retention, usage frequency
  • Revenue: ARPU, conversion to paid, API spend
  • Referral: Organic invites, word-of-mouth, virality coefficient

Step 4: Counter / Guardrail Metrics (2-3)

What we must NOT break while optimizing the NSM:

  • Quality: Response accuracy, hallucination rate, harmful content rate
  • Safety: Content policy violations, user reports, model refusals (false positive rate)
  • Trust: User satisfaction (CSAT/NPS), enterprise churn, data privacy incidents
  • System: Latency (TTFT, TPS), error rate, uptime

Step 5: Ecosystem Metrics

For platform companies, measure ecosystem health:

  • Developer ecosystem: # of apps built, API integrations, plugin adoption
  • Partner ecosystem: Revenue through partners, integration depth
  • Content ecosystem: User-generated content, model fine-tunes, custom GPTs

Step 6: Trade-offs Between Metrics

Identify 2-3 key tensions:

  • Growth vs. Safety (more users vs. more moderation needed)
  • Speed vs. Quality (faster responses vs. more accurate responses)
  • Revenue vs. Access (monetization vs. mission of broad access)

State how you'd resolve each (e.g., set guardrail thresholds, A/B test, phased rollout).


TYPE B: Root-Cause / Diagnostic Questions

"Metric X dropped 20% this week. Diagnose it."

Framework: MECE (Mutually Exclusive, Collectively Exhaustive)

Step 1: Clarify

  • Which metric exactly? Over what timeframe? What's the baseline?
  • Is this relative or absolute? Sudden or gradual?
  • Any known events (launches, incidents, seasonality)?

Step 2: Segment to Isolate

Break the metric down systematically:

  • By user segment: New vs. existing, free vs. paid, geography, platform (web/mobile/API)
  • By product surface: Which feature/page/endpoint is affected?
  • By time: When exactly did the drop start? Correlated with any deploy/event?
  • By funnel stage: Where in the funnel is the drop?

Step 3: Hypothesize (MECE)

Generate hypotheses that are mutually exclusive and collectively exhaustive:

Internal factors:

  • Product change (new deploy, A/B test, feature removal)
  • Technical issue (latency increase, outage, bug, model regression)
  • Data/instrumentation issue (logging break, tracking change, attribution error)

External factors:

  • Seasonality (holiday, weekend, school schedule)
  • Competitor action (new feature launch, pricing change)
  • Market event (news cycle, regulatory change, viral moment)
  • Platform change (app store policy, browser update, API deprecation)

Step 4: Validate

For each hypothesis, state:

  • What data would confirm/deny it
  • What team/tool you'd use to investigate
  • Priority order for investigation

Step 5: Recommend Action

  • Short-term: Immediate mitigation
  • Medium-term: Root cause fix
  • Long-term: Monitoring/alerting to catch this earlier

TYPE C: Trade-off Questions

"Feature A would increase engagement but decrease revenue. Ship or not?"

Framework: 3 Trade-off Types

Type 1: Similar Product Cannibalization

Product A vs. Product B serving overlapping users.

  • Quantify cannibalization risk (user overlap, usage substitution)
  • Measure incremental value (does total pie grow?)
  • Run holdout experiment

Type 2: Same Product, Different Variations

Version A vs. Version B of the same feature.

  • Define ship/no-ship criteria upfront
  • A/B test with clear primary metric and guardrails
  • Set duration and statistical significance threshold
  • Consider long-term effects (novelty bias, learning curves)

Type 3: Different Products, Same Surface

Feature X vs. Feature Y competing for the same real estate.

  • Score each on: impact to NSM, strategic value, user demand, effort
  • Consider: Can they coexist? Is this a false dichotomy?
  • Propose: Experiment design, phased rollout, or user segmentation

For all trade-offs:

  • State the decision framework explicitly
  • Quantify where possible (even rough estimates)
  • Identify the reversibility of each option
  • Recommend with conviction, then acknowledge what you'd monitor

AI-Specific Analytical Considerations

  • Model metrics: Perplexity, BLEU/ROUGE, human eval scores, Elo ratings
  • Safety metrics: Harmful content rate, jailbreak success rate, refusal accuracy
  • Cost metrics: Cost per query, GPU utilization, inference cost per token
  • Latency metrics: Time to first token (TTFT), tokens per second (TPS), end-to-end response time
  • Quality metrics: Hallucination rate, factual accuracy, instruction-following score

Output Format

Structure as a rigorous analytical walkthrough. Be quantitative where possible. For metrics questions, draw the metric tree. For root-cause, walk through the diagnostic systematically. Aim for ~2000 words.

Research-First Workflow

Before generating the answer:

  1. Research — Use web search to find latest benchmarks, industry metrics, and analytical frameworks relevant to the question. Do 5-10 searches.
  2. Cite sources — Include [linked source](url) inline for data points and benchmarks.
  3. Display the complete structured answer.

What Good Looks Like

  • Starts with clarifying the metric/situation (don't assume)
  • NSM captures core user value (not vanity metrics)
  • Metric tree is decomposable and actionable
  • Counter metrics show product maturity (especially safety for AI)
  • Root-cause analysis is structured and exhaustive (MECE)
  • Trade-off analysis is quantitative, not just qualitative
  • Shows awareness of AI-specific measurement challenges

Keep looking

Skills are one crate of 328,083. Ordering is by how many stacks a row turns up in, so the top of any crate is what has actually been picked rather than what has the most stars.