{"uid":"cap_CyG5RAC1tUiKWaUU9rUf3","slug":"one-way-anova-statistical-test-6329ee9a","name":"One-Way ANOVA Statistical Test","description":"One-way ANOVA across 2 to 12 groups: F statistic, degrees of freedom, p-value, eta squared and omega squared, with group means.","url":"https://stats-tests.x402tookit.com/anova-oneway?utm_source=zero.xyz","method":"GET","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method"],"properties":{"type":{"type":"string","const":"http"},"method":{"enum":["GET"],"type":"string"},"queryParams":{"type":"object","required":["groups"],"properties":{"groups":{"type":"string","description":"Groups separated by semicolons: 6,8,4,5,3,4;8,12,9,11,6,8;13,9,11,8,7,12"}}}},"additionalProperties":false},"output":{"type":"object","required":["type"],"properties":{"type":{"type":"string"},"example":{"type":"object","properties":{"asOf":{"type":["null","string"]},"groups":{"type":["null","number"]},"pValue":{"type":["null","number"]},"source":{"type":["null","string"]},"reasons":{"type":["array","null"],"items":{"type":"string"}},"summary":{"type":["null","string"]},"verdict":{"type":["null","string"]},"degraded":{"type":["boolean","null"]},"dfWithin":{"type":["null","number"]},"dfBetween":{"type":["null","number"]},"grandMean":{"type":["null","number"]},"disclaimer":{"type":["null","string"]},"etaSquared":{"type":["null","number"]},"fStatistic":{"type":["null","number"]},"groupMeans":{"type":["array","null"],"items":{"type":"number"}},"groupSizes":{"type":["array","null"],"items":{"type":"number"}},"notChecked":{"type":["array","null"],"items":{"type":"string"}},"omegaSquared":{"type":["null","number"]},"maxVarianceRatio":{"type":["null","number"]},"meanSquareWithin":{"type":["null","number"]},"sumSquaresWithin":{"type":["null","number"]},"meanSquareBetween":{"type":["null","number"]},"significantAt5pct":{"type":["boolean","null"]},"sumSquaresBetween":{"type":["null","number"]},"totalObservations":{"type":["null","number"]}}}}}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.02","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.02/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_P_t5DcmH_sXA3To7DH1iT","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.02","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Performs one-way ANOVA across 2–12 groups, returning F statistic, degrees of freedom, p-value, eta squared, omega squared, and group means.","exampleAgentPrompt":"Run a one-way ANOVA on these three groups and tell me the F statistic, p-value, and effect sizes: group 1 is 6,8,4,5,3,4; group 2 is 8,12,9,11,6,8; group 3 is 13,9,11,8,7,12.","exampleUseCases":[{"title":"Comparing crop yield across fertilizer treatments","prompt":"I have yield measurements from three fertilizer conditions — control: 4,5,6,4,5; low-dose: 7,8,9,7,8; high-dose: 11,12,10,13,11 — run a one-way ANOVA and tell me if the differences are statistically significant and what the effect size is."},{"title":"Testing student performance across teaching methods","prompt":"Can you run an ANOVA to compare test scores across four teaching methods? Group 1: 72,68,75,70; Group 2: 85,88,82,90; Group 3: 60,65,63,61; Group 4: 78,80,76,79. I need the F statistic, p-value, and eta squared."},{"title":"Evaluating drug dosage effect on blood pressure reduction","prompt":"I've got blood pressure reduction values for patients on three drug doses — 5mg: 3,5,4,6,4; 10mg: 8,7,9,8,10; 20mg: 14,12,15,13,14 — please do a one-way ANOVA and let me know if dose level has a statistically significant effect and how large the effect is."}],"resultDescription":"Returns a JSON object containing the F statistic, between-group and within-group degrees of freedom, p-value, eta squared, omega squared, group means array, group sizes, grand mean, sum of squares and mean squares for both between and within groups, max variance ratio, total observations, a boolean significance flag at 5%, a verdict string, a summary, and optional diagnostic reasons or warnings.","failureModes":["Fewer than 2 groups provided — requires at least 2 groups","More than 12 groups provided — maximum is 12","Non-numeric values in group data cause parse failure","Groups with fewer than 2 observations may produce unreliable results","Malformed semicolon/comma-separated format returns an error","All group means identical yields F=0 and non-significant result"],"whenToPreferThis":"Choose this endpoint when you need to compare means across 2–12 independent groups and want a full one-way ANOVA output including effect size measures (eta squared and omega squared). Prefer this over a t-test when you have more than two groups. Use this instead of the Mann-Whitney U endpoint when your data is approximately continuous and you need parametric effect sizes. Ideal for experimental designs with multiple treatment levels.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-21T12:30:12.457Z","isFirstParty":false,"canonicalSlug":"one-way-anova-statistical-test-6329ee9a"}