Question

the mean square for error in the anova provides an estimate of (a) the variance of the random error (b) the variance of an individual treatment average (c) the standard deviation of an individual observation (d) none of the above

Answer 1

The mean square for error in the ANOVA provides an estimate of the variance of an individual treatment average.

What is a variance?

Variance is the anticipated squared variation of a random variable from its population mean or sample mean in probability theory and statistics. Variance serves as a proxy for dispersion, or the degree to which a set of numbers deviates from their mean.

Here, We have

The mean square for error in the ANOVA provides an estimate

ANOVA = Analysis of VarianceThe correct answer is (B)

The mean square for error (MSE) in the analysis of variance (ANOVA) provides an estimate of the variance of an individual treatment average.

Unlike option C which refers to an individual observation,

option B refers to a group of observations that are classified into a single treatment sample.

The MSE measures (gives an estimate of) the variation within this treatment sample. In this case, the variation is in the average or the mean. This could be average texture, average strength, average penetration, etc.

Hence, the mean square for error in the ANOVA provides an estimate of the variance of an individual treatment average.

To learn more about the variance from the given link

brainly.com/question/25639778

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