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............. is commonly used in the context of analysis of variance (ANOVA).

  • A.F-test
  • B.Z-test
  • C.Chi-square test
  • D.t-test

Answer: A

The F-test is used in ANOVA.

Analysis of variance tests whether the means of three or more groups differ. It compares the variance between the group means with the variance within the groups, and their ratio is the F statistic, with \(s^{2}\) standing for each variance:

\[ F = \frac{s^{2}_{\text{between}}}{s^{2}_{\text{within}}} \]

A large F shows that the groups differ more than chance would allow. The t-test and Z-test compare two means at a time, and the chi-square test is used for frequency data, testing association or goodness of fit, not for comparing means through variance.

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