Paired (dependent) t-test API

Runs a paired-samples t-test on before/after measurements, returning t, df, two-tailed p-value, the CI of the mean difference and Cohen's dz effect size. Answers 'Is the change between paired measurements significant?', 'What is the t-statistic and p-value for matched pairs?'.

Price$0.06per request

MethodPOST

Route/v1/stats/paired-t-test

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

statisticst-testpaireddependentbefore-afterp-valueinferencehypothesis-test

API URLhttps://x402.hexl.dev/v1/stats/paired-t-test

Integration docs

Example request

{
  "before": [
    210,
    205,
    193,
    182,
    259,
    239
  ],
  "after": [
    197,
    195,
    191,
    174,
    236,
    226
  ]
}

Example response

{
  "t": 4.053217,
  "df": 5,
  "pValue": 0.009794,
  "alpha": 0.05,
  "meanDifference": 11.5,
  "sdDifference": 6.94982,
  "standardError": 2.837252,
  "n": 6,
  "ci": [
    4.206611,
    18.793389
  ],
  "cohensDz": 1.654719,
  "rejectNull": true,
  "rating": "significant",
  "interpretation": "Paired t(5)=4.053, p=0.0098; mean change 11.5; reject H0 (no change) at alpha=0.05."
}

Input schema

{
  "type": "object",
  "required": [
    "before",
    "after"
  ],
  "properties": {
    "before": {
      "type": "array",
      "items": {
        "type": "number"
      },
      "examples": [
        [
          210,
          205,
          193,
          182,
          259,
          239
        ]
      ]
    },
    "after": {
      "type": "array",
      "items": {
        "type": "number"
      },
      "examples": [
        [
          197,
          195,
          191,
          174,
          236,
          226
        ]
      ]
    },
    "alpha": {
      "type": "number",
      "examples": [
        0.05
      ]
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}