“Satterthwaite’s formula”的概念、定义、翻译、参考文献-科学参考

Satterthwaite’s formula

Statistics

A formula for finding the approximate distribution of a linear combination of independent chi-squared variables. Define the random variable S² by $Satterthwaite’s formula$ where c₁, c₂,… are known positive constants, and the chi-squared random variable S_j² has ν_j degrees of freedom. Satterthwaite’s suggestion, made in 1946, was that the distribution of νS²/σ² is approximately chi-squared with ν degrees of freedom, where , and ν is the nearest integer to $Satterthwaite’s formula$ where s_j² is the observed value of S_j².

单词	Satterthwaite’s formula
释义	Satterthwaite’s formula Statistics A formula for finding the approximate distribution of a linear combination of independent chi-squared variables. Define the random variable S² by $Satterthwaite’s formula$ where c₁, c₂,… are known positive constants, and the chi-squared random variable S_j² has ν_j degrees of freedom. Satterthwaite’s suggestion, made in 1946, was that the distribution of νS²/σ² is approximately chi-squared with ν degrees of freedom, where , and ν is the nearest integer to $Satterthwaite’s formula$ where s_j² is the observed value of S_j².
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