# One-Way ANOVA Statistical Test

> One-Way ANOVA Statistical Test is a paid API for AI agents from stats-tests.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-21).

Performs one-way ANOVA across 2–12 groups, returning F statistic, degrees of freedom, p-value, eta squared, omega squared, and group means.

## Facts

- Endpoint: GET https://stats-tests.x402tookit.com/anova-oneway?utm_source=zero.xyz
- Price: $0.02/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-21
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/one-way-anova-statistical-test-6329ee9a
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_CyG5RAC1tUiKWaUU9rUf3

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability one-way-anova-statistical-test-6329ee9a
```

Example prompt: 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.

## When to prefer this

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.

## Known failure modes

- 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

## How this service works

One-way ANOVA across 2 to 12 groups: F statistic, degrees of freedom, p-value, eta squared and omega squared, with group means.

## Output

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.

## Request schema (JSON Schema)

```json
{
 "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",
   
… (truncated)
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/one-way-anova-statistical-test-6329ee9a/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from stats-tests.x402tookit.com](https://www.zero.xyz/host/stats-tests.x402tookit.com/llms.txt)