{"id":2201575,"recorded_at":"2026-11-02T19:13:26.741837Z","observed_at":"2026-11-02T19:13:26.741766Z","subject_kind":"source_record","subject":"x402_bazaar:https://math-stats.x402tookit.com/t-test","kind":"listing","method":"sync.x402_bazaar/1","body":{"endpoints":[["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"],"type":"object"},"output":{"properties":{"example":{"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"}},"required":["type"],"type":"object"}},"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."},"body_sha256":"8e8a87681266c26af8f2b46334fc2ac3b4c796133580acc42ae1f1b3fea965c7","prev_id":null,"leaf":"0xd25f91793987629538003dbf4942492f3af67e180beb79f4e751d2c074cd218e","leaf_text":"{\"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\"}","day":{"day":"2026-11-02","leaves":444186,"root":"0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1","chained":"0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2","anchor_chain":"eip155:5042002","anchor_tx":"0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af","anchor_block":70432815},"proof":["0xd25fd69ad6ca373b6678317c8b644165f486c165b3651fac2e56b7fe1dc26ed0","0x4b67de93be611c8463ea1f7bffcbf7d68fe84d8e7dfc27da931cf09410acb6eb","0xf8b86b17a918ca79640d17f17dc587dafdce392eb4cbed36fe548ff75749163f","0xbe273bf86bd0f93ffdfdc24c816ff06b0eb4a9397e66118c19131b5660463227","0x4494421026bf860bbf76a35dfc0ce894139f7d6a5a23c2aba7c6e293bf3222fb","0x474213e7d43f058f3b2ad5fedb5ec314c2244ae66fe4b792c3c89a9944e37d15","0x5f8f20e751cb04045243ad952074e300adaa3aae3c0aff27a5880fdb926b9d33","0x71e360f24564887ef3cedbc932d55a9dfe7937c4312c32d7d65cd30336cc64aa","0xe8f58e22f1a197dc7f2eb80fa3d5ffd54c3de8791f94ce78b1a7533095ef3009","0x682faa10845eeb05817001387d51667c15cc99ecedc2a81a3da845319a26def9","0xe2dbc974d9b12796dffe1a22ce6c9cf9b5f24a00a6f898b1bd707086afabbf8d","0x8f7ec337f2782ee71c5fcf875ded67ab29b3a792b4ec497a9bd69388793bc4bb","0x0ee251e21135d18ee3004d16c3618e1f970e8952654b422f2554f8aa0ae09b4f","0x0a363925e7ecbf308dcd4c5e94385984a43aafeb977e419f632e8dc2019e0553","0xa9134f4ed9cec34e13ba243b6a51db73753dbbb3b48c63bd82b22694813d2b02","0x7ddefa7d79e7640c3fed21ee4472689415182c41a0258ab04a81d60495f4c40a","0xdb8bd933619a267f9790faac9839143d202be46af284371cc369cdf683f897ba","0x98cbbf2c68ab4c0b4db782aeb88bea1f30b02178cf8b5d3d24a931d19492ea6d","0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884"]}