Statistician

A virtual statistician for your AI agent. An MCP server that gives Claude, ChatGPT, or any MCP-speaking client real statistical methods to work with — design of experiments, statistical process control, hypothesis testing, regression, measurement systems analysis — instead of hoping the model remembers the right formula and doesn't hallucinate a p-value.

MIT licensed. Built on scipy, statsmodels, and pyDOE3 — the same libraries a human statistician would reach for, just wired up so an LLM can call them directly.

Why this is different from "ask the model to do stats"

• Real methods, not guesses. Every tool runs an actual, tested statistical routine (Shapiro-Wilk, Tukey HSD, Gauge R&R variance components, D-optimal and factorial designs, Western Electric/Nelson rules for control charts) — the kind of thing that's easy for an LLM to get subtly wrong if it's doing the arithmetic itself, and easy to get right when it's calling a library built for it.
• Every result explains itself. Tool responses don't just return numbers — they come back with a plain-language interpretation field ("this p-value means...", "Cpk of 1.1 means..."), so the agent (and the human reading its output) doesn't have to guess what a statistic means.
• A built-in advisor, not just a toolbox. recommend_analysis looks at what you're trying to answer and suggests which test or design actually fits; explain_concept gives a plain-English explanation of ~30 core statistical concepts on demand.
• Broader than a stats library wrapper. Most "do some stats" integrations stop at t-tests and correlation. This covers full design-of-experiments (factorial, response surface, optimization), SPC (control charts, capability, stability rules), and MSA (Gauge R&R) — the parts of applied statistics that manufacturing, quality, and experimental-science work actually needs, and that a general-purpose model rarely gets right unprompted.
• Plots, not just numbers. Distribution plots, control charts, response surfaces, and power curves render as real images the agent can hand back to you, not ASCII art.
• Works everywhere MCP works. stdio for Claude Desktop/Claude Code, or streamable HTTP for a hosted deployment any MCP client can point at.

What's in the box

Category	Tools
Datasets	load from CSV/URL, list, describe, sample, transform, delete
EDA	column summaries, distribution plots, normality tests, outlier detection, correlations, scatter/time-series plots, crosstabs
Inference & power	compare means/proportions/variances, compare multiple groups, equivalence testing, confidence intervals, power/sample-size calculations
Design of experiments	design factorial/response-surface experiments, evaluate a design, analyze factorial results, analyze response surfaces, optimize a response
Statistical process control	control charts (X-bar/R, I-MR, ...), process capability (Cp/Cpk/Pp/Ppk), stability/out-of-control rule checks
Measurement systems analysis	Gauge R&R (crossed ANOVA), attribute agreement analysis
Regression & modeling	linear/logistic models, model comparison, prediction, distribution fitting
Advisor	recommend which analysis fits your question, explain a statistical concept

39 tools in total. See the module source under src/statistician_mcp/modules/ for the full list and docstrings.

Quickstart

Install in editable mode with dev dependencies:

.\.venv\Scripts\python.exe -m pip install -e ".[dev]"
.\.venv\Scripts\python.exe -m pytest

stdio (Claude Desktop / Claude Code)

Add to your MCP client config (e.g. claude_desktop_config.json):

{
  "mcpServers": {
    "statistician": {
      "command": "C:\\path\\to\\statistician-mcp\\.venv\\Scripts\\python.exe",
      "args": ["-m", "statistician_mcp", "--transport", "stdio"]
    }
  }
}

Streamable HTTP (hosted deployments)

.\.venv\Scripts\python.exe -m statistician_mcp --transport http --port 8347

curl http://localhost:8347/healthz
# {"status":"ok","version":"0.2.2"}

The MCP endpoint is served at POST http://localhost:8347/mcp (streamable HTTP, protocol version 2025-03-26).

Testing locally without writing a client

• Claude Desktop / Claude Code — the stdio config block above; tools show up directly once the client restarts.
• MCP Inspector — the official dev tool, gives you a UI to call tools/list/tools/call without a full chat client: npx @modelcontextprotocol/inspector .\.venv\Scripts\python.exe -m statistician_mcp --transport stdio (or point it at the HTTP transport instead).
• ChatGPT — connects over the HTTP transport as a custom connector; needs a reachable HTTPS URL and a bearer token (keys mode below).

Authentication

Three modes, set via STATMCP_AUTH_MODE (default token):

• token — a single static bearer token via STATMCP_API_TOKEN. Empty/unset disables auth entirely (dev only — this is what stdio/local testing above uses). Every valid request hashes to one shared workspace.

• keys — a real per-tenant API-key table, each key resolving to its own workspace. SQLite at {STATMCP_DATA_DIR}/keys.db by default; set STATMCP_DATABASE_URL to a Postgres DSN to use PostgresKeyStore instead (a hosted deployment's natural choice — the table is created automatically on first connect, in whatever schema the DSN's role defaults to via its search_path). Manage keys with the admin script (targets whichever store the server would use; --db PATH overrides to force SQLite at that path):

  .\.venv\Scripts\python.exe scripts\issue_key.py issue ws_acme --plan pro
  .\.venv\Scripts\python.exe scripts\issue_key.py list
  .\.venv\Scripts\python.exe scripts\issue_key.py disable sk_...
  

  The raw key is shown only once, at issuance — only its hash is stored.

• oauth — for clients (like Claude's custom connectors) that speak OAuth rather than a static bearer token. This server only ever plays the OAuth resource server role — an external identity provider (Kinde, or any OIDC provider) is the authorization server; there's no /authorize or /token endpoint here, just JWT validation. Requires:

  STATMCP_OAUTH_ISSUER=https://<your-tenant>.kinde.com
  STATMCP_OAUTH_AUDIENCE=https://<this-server>/mcp
  STATMCP_OAUTH_REQUIRED_PERMISSION=access:statistician-mcp   # optional, this is already the default
  

  A token must be signed by the issuer, carry the exact aud above, and include STATMCP_OAUTH_REQUIRED_PERMISSION in its permissions claim — this last check is the actual access gate (assigned per-user in the provider's dashboard today; swappable later for automatic subscription-driven entitlements without any code change here). Each distinct authenticated user gets their own workspace, derived from the token's sub claim the same way the token mode derives one from the static token. GET /.well-known/oauth-protected-resource (RFC 9728) tells a client where to authenticate; a 401 in this mode carries a WWW-Authenticate header pointing at it.

/healthz and /.well-known/oauth-protected-resource are always public. /artifacts/* also accepts the token as a ?t= query parameter (browsers can't set an Authorization header on a plain link).

Connecting from Claude (oauth mode)

Claude Desktop / claude.ai support custom MCP connectors with OAuth:

1. Settings → Connectors → Add custom connector
2. Remote MCP server URL: your deployment's MCP endpoint, e.g. https://your-deployment.example.com/mcp
3. Advanced settings → OAuth Client ID / OAuth Client Secret: from whatever OAuth application you registered in your identity provider (a "back-end web" / "regular web app" type, not machine-to-machine — this flow needs a real user login/consent screen and an individual identity, which M2M apps don't have) for this MCP server, with the redirect URI set to https://claude.ai/api/mcp/auth_callback
4. Click Add, then enable the connector for a conversation via the + button, and Claude will walk you through logging in.

This only works if the server operator has set STATMCP_AUTH_MODE=oauth and configured an identity provider (see above) — the token/keys modes don't speak OAuth at all, and need a bearer token supplied directly instead (via a connector's plain API-key/header auth option, where the client supports it).

Other MCP clients (ChatGPT, etc.) that support custom connectors follow a similar shape — point them at the same /mcp URL and either the OAuth flow above or a bearer token, depending on what the server is configured for and what the client supports. This section will grow as more of them get verified against this server.

Docker

docker build -t statistician-mcp .
docker run -p 8347:8347 -v statmcp-data:/data statistician-mcp

Runs as a non-root user, healthchecks /healthz. Set STATMCP_AUTH_MODE=keys and mount /data persistently to keep the issued-key database across restarts.

Storage backend

Dataset/artifact storage defaults to local disk under {STATMCP_DATA_DIR}/storage (LocalDirBackend) — fine for a Droplet with a mounted volume, but incompatible with ephemeral-disk compute like DO App Platform. Setting STATMCP_SPACES_BUCKET switches to a DigitalOcean Spaces bucket (SpacesBackend) instead; all of endpoint/key/secret must be set together:

STATMCP_SPACES_BUCKET=my-bucket
STATMCP_SPACES_ENDPOINT=https://nyc3.digitaloceanspaces.com
STATMCP_SPACES_KEY=...
STATMCP_SPACES_SECRET=...
STATMCP_SPACES_REGION=nyc3          # optional, defaults to nyc3
STATMCP_SPACES_PREFIX=statistician-mcp   # optional, this is already the default

If the bucket is shared with other services (each their own MCP server, say), STATMCP_SPACES_PREFIX namespaces every key this app writes under e.g. statistician-mcp/..., so two services can point at the same bucket with different prefixes and never see or collide with each other's objects — give each service its own prefix (and, on the DO side, its own Spaces access key scoped to just that bucket via doctl spaces keys create <name> --grants 'bucket=my-bucket;permission=readwrite').

STATMCP_DATABASE_URL (see Authentication above) is independent of this setting — one config switch for the key table, one for dataset/artifact storage; a deployment can mix and match (e.g. Postgres keys + local-disk storage on a Droplet, or Postgres keys + Spaces storage for App Platform).

Deployment

Two viable paths on DigitalOcean — pick based on how much ops you want:

• App Platform (this repo's spec: .do/app.yaml) — deploys the Dockerfile directly from this GitHub repo, managed TLS, no server to patch. Requires STATMCP_DATABASE_URL and the STATMCP_SPACES_* vars set (App Platform's disk is ephemeral, so local SQLite/local-dir storage don't survive a redeploy). Set each STATMCP_* secret as an encrypted app-level env var — never commit real values into .do/app.yaml, which only holds placeholders. Pick a region that co-locates with wherever your Postgres cluster and Spaces bucket actually live, to keep the per-request key lookup and dataset/artifact I/O both low-latency.
• Droplet + Docker — a small droplet with a mounted volume keeps the local-dir storage backend and SQLite key store working unchanged, at the cost of your own reverse proxy (Caddy/nginx + Let's Encrypt) for TLS and OS upkeep. Fine for a private beta; App Platform is the better path once you need to scale beyond one box.

Either way: set STATMCP_PUBLIC_BASE_URL to the real public HTTPS URL once it's known (artifact links resolve against this — App Platform has no bindable variable for an app's own URL, so this has to be set as a second step after the first deploy, once DO tells you the assigned domain) and smoke-test /healthz plus an actual tool call against the hosted instance before declaring it done.

See CHANGELOG.md for what's been built and verified so far.

Contributing

Issues and pull requests welcome. Run ruff check ., mypy src, and pytest before submitting — CI runs the same three.

License

MIT