{
  "aliases": null,
  "backlinks": [
    {
      "field": "uses",
      "target": "10WTA1QZXD"
    },
    {
      "field": "uses",
      "target": "9SYZS6S4NY"
    },
    {
      "field": "defines",
      "target": "V4Q6TSY1KX"
    }
  ],
  "body": "\n## Summary\n\nA factorial experiment studies several factors at once, each at a few levels, and runs every combination of levels.\nIt estimates the main effect of each factor and the interactions between factors.\nAn interaction shows whether the effect of one factor depends on the level of another.\nEach run contributes to the estimate of every main effect, so a factorial experiment is more efficient than changing one factor at a time.\nThe $2^k$ design, with $k$ factors at two levels each, is the basic case, and [[fractional factorial designs|PBK2XY4M0A]] run only a chosen part of it.\n\n## Explanations\n\n### L1 human\n\nTo bake a better cake, one might vary the oven temperature (low or high) and the baking time (short or long).\nA factorial experiment bakes all four combinations, instead of changing one thing at a time.\nEvery cake then says something about both temperature and time.\nIt also shows interactions: maybe a long time helps at low temperature but burns the cake at high temperature.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "kind": "concept",
    "msc": [
      "62K15"
    ],
    "name": "Factorial experiment",
    "same_as": {
      "wikidata": "Q4116558",
      "wikipedia": "Factorial experiment"
    },
    "sources": [
      {
        "url": "https://en.wikipedia.org/wiki/Factorial_experiment"
      }
    ],
    "tag": "EHJ3R589ZX"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/EHJ3R589ZX/",
  "links": null,
  "markdown": "https://tamnd.github.io/math2/node/EHJ3R589ZX.md",
  "msc": [
    "62K15"
  ],
  "name": "Factorial experiment",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/EHJ/EHJ3R589ZX.md",
  "status": null,
  "tag": "EHJ3R589ZX",
  "uri": "m2://EHJ3R589ZX",
  "url": "https://tamnd.github.io/math2/wiki/factorial-experiment/",
  "writing": {
    "tag": "EHJ3R589ZX",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      },
      {
        "what": "a source with a locator",
        "have": 0,
        "want": 1
      }
    ]
  }
}