definition 11.80 Chi-squared

Rests on

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Supports

• depends_on corollary 11.82 The one degree of freedom tail ¶
  • depends_on proposition 11.93 $Z=\sqrt{q}$ ¶
    • depends_on example 11.107 Degrading a local five sigma ¶
    • depends_on proposition 113.15 Why categorizing helps, and by how much ¶
    • depends_on proposition 113.12 Sensitivity is set by ratio, not by rate ¶
• depends_on lemma 11.83 Gaussian quadratic forms ¶
  • depends_on corollary 11.84 Residuals about a weighted mean; the Birge ratio ¶
  • depends_on example 33.15 The six values are mutually inconsistent, and by how much ¶
    • depends_on phenomenon 33.16 The least well determined of the constants ¶
  • depends_on theorem A.214 Wilks, $k$ parameters and $r$ constraints ¶
  • depends_on theorem 11.88 Wilks ¶
    • depends_on corollary 11.89 Degrees of freedom with nuisance parameters ¶
      • depends_on example 11.107 Degrading a local five sigma ¶ ↺
      • depends_on proposition 11.93 $Z=\sqrt{q}$ ¶ ↺
      • depends_on remark 11.90 Failure I: a parameter on the boundary ¶
• depends_on phenomenon 115.44 A large-scale dipole above $8\times10^{18}$ electronvolts ¶
• depends_on proposition 11.81 Density, mean and variance ¶
  • depends_on corollary 11.84 Residuals about a weighted mean; the Birge ratio ¶ ↺
  • depends_on example 33.15 The six values are mutually inconsistent, and by how much ¶ ↺
• depends_on theorem 11.88 Wilks ¶ ↺