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The ‘F’ ratio in a completely randomised ANOVA is the ratio of MSTR/MSE MST/MSE MSE/MSTR MSE/MST

Question

The ‘F’ ratio in a completely randomised ANOVA is the ratio of MSTR/MSE MST/MSE MSE/MSTR MSE/MST

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Solution

The 'F' ratio in a completely randomised ANOVA is the ratio of MST/MSE.

Here's a step-by-step explanation:

  1. ANOVA stands for Analysis of Variance, a statistical method used to test differences between two or more means.

  2. In ANOVA, we calculate the 'F' ratio, which is a statistical value used to decide whether to reject or not reject the null hypothesis.

  3. The 'F' ratio is calculated by dividing the Mean Square Between (MSB or MST for Mean Square Treatment) by the Mean Square Within (MSW or MSE for Mean Square Error).

  4. MST is the variance (or differences) between the group means, and MSE is the variance within each group.

  5. Therefore, the 'F' ratio in a completely randomised ANOVA is the ratio of MST/MSE.

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Similar Questions

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How is the F-statistic in an ANOVA test calculated?a.)The variance between the samples minus the variance within the samplesb.)The variance between the samples plus the variance within the samplesc.)The variance between the samples divided by the variance within the samplesd.)The variance between the samples multiplied by the variance within the samples

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