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Evidence row 2201575

Observed , by sync.x402_bazaar/1.

Kind
listing
About
source_record x402_bazaar:https://math-stats.x402tookit.com/t-test
Recorded
Previous row
None: the first of its kind about this subject
Body SHA-256
8e8a87681266c26af8f2b46334fc2ac3b4c796133580acc42ae1f1b3fea965c7
Leaf
0xd25f91793987629538003dbf4942492f3af67e180beb79f4e751d2c074cd218e

What was observed

{
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      "x402",
      "https://math-stats.x402tookit.com/t-test"
    ]
  ],
  "name": "Math and Statistics",
  "owner_address": "0xb531320805c5bed1d46aeadcf4f008fdf172dbda",
  "raw": {
    "accepts": [
      {
        "amount": "20000",
        "asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
        "extra": {
          "name": "USD Coin",
          "version": "2"
        },
        "maxTimeoutSeconds": 300,
        "network": "eip155:8453",
        "payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
        "scheme": "exact"
      },
      {
        "amount": "20000",
        "asset": "EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v",
        "extra": {
          "feePayer": "D6ZhtNQ5nT9ZnTHUbqXZsTx5MH2rPFiBBggX4hY1WePM",
          "transactionVersions": [
            0
          ]
        },
        "maxTimeoutSeconds": 300,
        "network": "solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp",
        "payTo": "DUPiupXtuox38dcGoXUKer5mAydCzmaHjrbQ66qeEm8s",
        "scheme": "exact"
      },
      {
        "amount": "20000",
        "asset": "0x3c499c542cEF5E3811e1192ce70d8cC03d5c3359",
        "extra": {
          "name": "USD Coin",
          "version": "2"
        },
        "maxTimeoutSeconds": 300,
        "network": "eip155:137",
        "payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
        "scheme": "exact"
      },
      {
        "amount": "20000",
        "asset": "0xaf88d065e77c8cC2239327C5EDb3A432268e5831",
        "extra": {
          "name": "USD Coin",
          "version": "2"
        },
        "maxTimeoutSeconds": 300,
        "network": "eip155:42161",
        "payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
        "scheme": "exact"
      }
    ],
    "description": "Welch two-sample or one-sample t-test: t statistic, degrees of freedom, p-value, confidence interval and Cohen's d.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "a": "27.5,21.0,19.0,23.6,17.0,17.9,16.9,20.1,21.9,22.6,23.1,19.6,19.0,21.7,21.4",
              "b": "27.1,22.0,20.8,23.4,23.4,23.5,25.8,22.0,24.8,20.2,21.9,22.1,22.9,20.5,24.4"
            },
            "type": "http"
          },
          "output": {
            "example": {
              "alpha": 0.05,
              "asOf": "2026-10-11T06:26:07.896Z",
              "cohensD": -0.89656939,
              "confidenceInterval": {
                "level": 0.95,
                "lower": -3.98409626714,
                "upper": -0.349237066192
              },
              "degraded": false,
              "degreesOfFreedom": 24.98852929,
              "difference": -2.16666666667,
              "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
              "meanA": 20.82,
              "meanB": 22.98666667,
              "nA": 15,
              "nB": 15,
              "notChecked": [
                "the assumptions: independent observations and roughly normal data (or large samples)",
                "practical importance (a tiny effect can be 'significant' with enough data)",
                "…2 more"
              ],
              "pValueTwoSided": 0.021378001,
              "reasons": [
                "Two-sided test. 'Not significant' means the data do not rule out no difference, not that there is none.",
                "Significance is not importance: check the effect size (Cohen's d: about 0.2 small, 0.5 medium, 0.8 large)."
              ],
              "significant": true,
              "source": "computed locally",
              "standardError": 0.882424510014,
              "summary": "Welch two-sample t-test (unequal variances): t = -2.455, df = 24.99, two-sided p = 0.0214 -> significant at alpha 0.05; difference -2.16667 (95% CI -3.9841 to -0.349237).",
              "tStatistic": -2.455356398,
              "test": "Welch two-sample t-test (unequal variances)",
              "verdict": "SIGNIFICANT"
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "a": {
                      "description": "Sample A values",
                      "type": "string"
                    },
                    "alpha": {
                      "description": "Significance level 0.001 to 0.2 (default 0.05)",
                      "type": "number"
                    },
                    "b": {
                      "description": "Sample B values (two-sample test)",
                      "type": "string"
                    },
                    "mu": {
                      "description": "Hypothesised mean for a one-sample test (use instead of b)",
                      "type": "number"
                    }
                  },
                  "required": [
                    "a"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
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              "type": "object"
            },
            "output": {
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                  "properties": {
                    "alpha": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "cohensD": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "confidenceInterval": {
                      "properties": {
                        "level": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "lower": {
                          "type": [
                            "null",
                            "number"
                          ]
                        },
                        "upper": {
                          "type": [
                            "null",
                            "number"
                          ]
                        }
                      },
                      "type": [
                        "null",
                        "object"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "degreesOfFreedom": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "difference": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "meanA": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "meanB": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "nA": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "nB": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "pValueTwoSided": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "significant": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "standardError": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "tStatistic": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "test": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
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              ],
              "type": "object"
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          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-01T23:38:13.164Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-01T23:38:13.015Z"
    },
    "resource": "https://math-stats.x402tookit.com/t-test",
    "serviceName": "Math and Statistics",
    "tags": [
      "statistics",
      "t-test",
      "hypothesis-test",
      "p-value"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Welch two-sample or one-sample t-test: t statistic, degrees of freedom, p-value, confidence interval and Cohen's d."
}

What the leaf hashes

{"body":"8e8a87681266c26af8f2b46334fc2ac3b4c796133580acc42ae1f1b3fea965c7","id":2201575,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646806741766,"prev":null,"subject":"x402_bazaar:https://math-stats.x402tookit.com/t-test","subject_kind":"source_record"}

Proof

Fold these into the leaf in order, hashing each sorted pair with keccak256, to reach the root of (444186 rows).

  1. 0xd25fd69ad6ca373b6678317c8b644165f486c165b3651fac2e56b7fe1dc26ed0
  2. 0x4b67de93be611c8463ea1f7bffcbf7d68fe84d8e7dfc27da931cf09410acb6eb
  3. 0xf8b86b17a918ca79640d17f17dc587dafdce392eb4cbed36fe548ff75749163f
  4. 0xbe273bf86bd0f93ffdfdc24c816ff06b0eb4a9397e66118c19131b5660463227
  5. 0x4494421026bf860bbf76a35dfc0ce894139f7d6a5a23c2aba7c6e293bf3222fb
  6. 0x474213e7d43f058f3b2ad5fedb5ec314c2244ae66fe4b792c3c89a9944e37d15
  7. 0x5f8f20e751cb04045243ad952074e300adaa3aae3c0aff27a5880fdb926b9d33
  8. 0x71e360f24564887ef3cedbc932d55a9dfe7937c4312c32d7d65cd30336cc64aa
  9. 0xe8f58e22f1a197dc7f2eb80fa3d5ffd54c3de8791f94ce78b1a7533095ef3009
  10. 0x682faa10845eeb05817001387d51667c15cc99ecedc2a81a3da845319a26def9
  11. 0xe2dbc974d9b12796dffe1a22ce6c9cf9b5f24a00a6f898b1bd707086afabbf8d
  12. 0x8f7ec337f2782ee71c5fcf875ded67ab29b3a792b4ec497a9bd69388793bc4bb
  13. 0x0ee251e21135d18ee3004d16c3618e1f970e8952654b422f2554f8aa0ae09b4f
  14. 0x0a363925e7ecbf308dcd4c5e94385984a43aafeb977e419f632e8dc2019e0553
  15. 0xa9134f4ed9cec34e13ba243b6a51db73753dbbb3b48c63bd82b22694813d2b02
  16. 0x7ddefa7d79e7640c3fed21ee4472689415182c41a0258ab04a81d60495f4c40a
  17. 0xdb8bd933619a267f9790faac9839143d202be46af284371cc369cdf683f897ba
  18. 0x98cbbf2c68ab4c0b4db782aeb88bea1f30b02178cf8b5d3d24a931d19492ea6d
  19. 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884
Day root
0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
Chained
0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
Published
On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af

How to check it · This row as JSON