F統計量的意思、翻譯和例句

是什麼意思

「F統計量」是指在統計學中用來進行假設檢定的一種統計量,通常用於比較兩個或多個樣本的變異性。F統計量是由兩個獨立樣本的變異數比值計算而來,廣泛應用於方差分析(ANOVA)和回歸分析中。F統計量的值越大,表示樣本之間的變異性越大,從而可能拒絕零假設。

依照不同程度的英文解釋

  1. A number used to compare groups.
  2. A value that helps check if things are different.
  3. A ratio of two variances.
  4. A measure used in certain statistical tests.
  5. A statistic that shows how much two groups differ.
  6. A metric used in analysis to evaluate group differences.
  7. A calculation derived from the ratio of variances to test hypotheses.
  8. A statistic used to determine if there are significant differences among groups.
  9. A ratio of variances used to assess the significance of group differences in statistical models.
  10. A statistical measure that compares the variance between groups to assess if they are significantly different.

相關英文單字或片語的差別與用法

1:F-statistic

用法:

在統計學中,F統計量主要用於方差分析(ANOVA)中,幫助研究者檢驗多個樣本均值之間是否存在顯著差異。它是通過比較不同組別的變異數來計算的,並且通常用於檢定零假設。

例句及翻譯:

例句 1:

F統計量的計算是進行方差分析的關鍵步驟。

Calculating the F-statistic is a key step in performing ANOVA.

例句 2:

如果F統計量超過臨界值,我們可以拒絕零假設。

If the F-statistic exceeds the critical value, we can reject the null hypothesis.

例句 3:

F統計量可以幫助我們理解不同組別之間的變異性。

The F-statistic helps us understand the variability between different groups.

2:Variance Ratio

用法:

這個術語通常用於描述F統計量的計算方式,即兩個樣本的變異數之比。它是檢驗樣本變異性是否存在顯著差異的重要指標。

例句及翻譯:

例句 1:

變異數比是F統計量的基礎,幫助我們進行假設檢定。

The variance ratio is the basis of the F-statistic, helping us conduct hypothesis testing.

例句 2:

在計算變異數比時,必須確保數據符合正態分佈。

When calculating the variance ratio, it is essential to ensure that the data follows a normal distribution.

例句 3:

變異數比越大,表示組別之間的差異越明顯。

The larger the variance ratio, the more pronounced the differences between groups.

3:ANOVA F-value

用法:

這是指在方差分析中計算出的F統計量,通常用來檢驗三個或更多組的均值是否相等。ANOVA F值的計算基於組內變異和組間變異的比率。

例句及翻譯:

例句 1:

ANOVA F值幫助我們檢驗多組數據的差異。

The ANOVA F-value helps us test the differences among multiple groups of data.

例句 2:

在進行ANOVA分析時,F值的解釋至關重要。

Interpreting the F-value is crucial when conducting ANOVA analysis.

例句 3:

如果ANOVA F值顯著,表示至少有一組的均值不同。

If the ANOVA F-value is significant, it indicates that at least one group's mean is different.