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卡方匹配度检验

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卡方匹配度检验 [2023/04/13 15:14] zhangruihao卡方匹配度检验 [2024/04/16 03:40] (当前版本) aiyuheng
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-**卡方匹配度(拟合优度)检验**+**卡方匹配度(拟合优度)检验(Chi-square match (goodness of fit) test)**
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   *卡方可以用来检验频率的**观测分布和理论分布之间的拟合优度**。   *卡方可以用来检验频率的**观测分布和理论分布之间的拟合优度**。
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   ***卡方检验的效应量Cramer's V:** V={𝜒^2/[n*min(c-1,r-1)]}^1/2   ***卡方检验的效应量Cramer's V:** V={𝜒^2/[n*min(c-1,r-1)]}^1/2
  
-  ***卡方检验的计算步骤:**+  ***卡方检验的计算步骤:**①提出假设;②根据虚无假设𝐻o,选择相应的统计模型;③确定显著性水平α(α确定后,否定域也随之确定);④基于𝐻o所设定的统计模型,计算检验统计量的值;⑤做出决策。 
 +  *** Chi-square match (goodness of fit) test ** 
 +---- 
 +The chi square can be used to test the goodness of fit between the observed and theoretical distributions of frequency. 
 + 
 +*** Definition formula: ** statistic 𝜒^2=Σ [(FO-Fe)^2/fe] (observed number fo, expected number fe=pn), degrees of freedom df=C-1 (C: number of class objects). 
 + 
 +*** Test limitations ** : ① Sensitive to sample size (significant results can be obtained when sample size is large); The causal relationship cannot be determined. 
 + 
 +* * * chi-square test the effect of Cramer 's V: V * * = {𝜒 ^ 2 / (n * min (r - c - 1, 1)]} ^ 1/2 
 + 
 +*** Calculation steps of Chi-square test: **① Put forward the hypothesis; ② According to the null hypothesis 𝐻o, select the corresponding statistical model; (3) The significance level α is determined (after α is determined, the negative domain is also determined); ④ The values of the test statistics are calculated based on the statistical model set by 𝐻o; ⑤ Make decisions.
卡方匹配度检验.1681398860.txt.gz · 最后更改: 2023/04/13 15:14 由 zhangruihao