Multiple Comparisons

{
  "adjusted": {
    "benjaminiHochberg": [
      0.02,
      0.04
    ],
    "bonferroni": [
      0.04,
      0.16
    ],
    "holm": [
      0.03,
      0.06
    ],
    "sidak": [
      0.03940399,
      0.15065344
    ]
  },
  "alpha": 0.05,
  "asOf": "2026-10-11T08:55:56.312Z",
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "notChecked": [
    "whether the tests are independent (Benjamini-Hochberg assumes independence or positive dependence)",
    "the choice of family of tests (decide it before seeing results)",
    "…1 more"
  ],
  "rawPValues": [
    0.01,
    0.04
  ],
  "reasons": [
    "Bonferroni and Holm control the chance of any false positive (family-wise error); Holm is never less powerful than Bonferroni.",
    "Benjamini-Hochberg controls the expected share of false discoveries (FDR) and is more powerful when many tests are real.",
    "…1 more"
  ],
  "significantCounts": {
    "benjaminiHochberg": 4,
    "bonferroni": 2,
    "holm": 2,
    "raw": 4,
    "sidak": 2
  },
  "significantIndexes": {
    "benjaminiHochberg": [
      0,
      1
    ],
    "holm": [
      0,
      3
    ]
  },
  "source": "computed locally",
  "summary": "4 tests at 0.05: raw 4 significant; Bonferroni 2, Holm 2, Benjamini-Hochberg 4 survive.",
  "tests": 4,
  "verdict": "SOME_SURVIVE"
}

# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://stats-tests.x402tookit.com/multiple-comparisons?pvalues=0.01%2C0.04%2C0.03%2C0.005'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://stats-tests.x402tookit.com/multiple-comparisons?pvalues=0.01%2C0.04%2C0.03%2C0.005' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode

// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fstats-tests.x402tookit.com%2Fmultiple-comparisons
const res = await pay("https://stats-tests.x402tookit.com/multiple-comparisons?pvalues=0.01%2C0.04%2C0.03%2C0.005");
console.log(res.status, await res.text());

# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://stats-tests.x402tookit.com/multiple-comparisons?pvalues=0.01%2C0.04%2C0.03%2C0.005")
    print(res.status_code, res.text)