“pooled estimate of common mean”的概念、定义、翻译、参考文献-科学参考

pooled estimate of common mean

Statistics

An estimate obtained by combining information from two or more independent samples taken from populations believed to have the same mean. Observations x₁₁, x₁₂,…, x_1m are randomly selected from a population. Their mean is x̄₁, given by $pooled estimate of common mean$ Random observations from a second population are denoted by x₂₁, x₂₂,…, x_2n and have mean x̄₂. If the two populations are believed to have the same mean, then a pooled estimate of the common mean is x̄, given by $pooled estimate of common mean$ With k samples of sizes n₁, n₂,…, n_k and with means x̄₁, x̄₂,… x̄_k, the pooled estimate is given by $pooled estimate of common mean$ The unbiased estimate of the variance of the first population is , given by $pooled estimate of common mean$ The corresponding estimate for the second population is . If it is believed that the two populations have the same variance, but possibly different means, then the pooled estimate of common variance is s², given by $pooled estimate of common mean$ In the case of k samples, with the estimate from sample j being , the pooled estimate is given by $pooled estimate of common mean$ See also hypothesis test.

单词	pooled estimate of common mean
释义	pooled estimate of common mean Statistics An estimate obtained by combining information from two or more independent samples taken from populations believed to have the same mean. Observations x₁₁, x₁₂,…, x_1m are randomly selected from a population. Their mean is x̄₁, given by $pooled estimate of common mean$ Random observations from a second population are denoted by x₂₁, x₂₂,…, x_2n and have mean x̄₂. If the two populations are believed to have the same mean, then a pooled estimate of the common mean is x̄, given by $pooled estimate of common mean$ With k samples of sizes n₁, n₂,…, n_k and with means x̄₁, x̄₂,… x̄_k, the pooled estimate is given by $pooled estimate of common mean$ The unbiased estimate of the variance of the first population is , given by $pooled estimate of common mean$ The corresponding estimate for the second population is . If it is believed that the two populations have the same variance, but possibly different means, then the pooled estimate of common variance is s², given by $pooled estimate of common mean$ In the case of k samples, with the estimate from sample j being , the pooled estimate is given by $pooled estimate of common mean$ See also hypothesis test.
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