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Discussion

Analysis of variance technique involves ....................... .

  • A.Computation of variances of different groups
  • B.Computation of means and variances of different groups
  • C.Splitting of the variance as variation between the samples and also within sample
  • D.Preparation of ANOVA table

Answer: C

ANOVA involves splitting of the variance as variation between the samples and also within sample.

R.A. Fisher's analysis of variance divides the total variation of all the observations into two parts: the variation between the sample means, which reflects differences between the groups, and the variation within each sample, which reflects chance. The ratio of the two mean squares is the F statistic used to test whether the group means are equal.

Computing the means and variances of each group, or setting out the ANOVA table, are steps in carrying out the analysis, but they do not describe what the technique essentially does.

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