In one-way ANOVA, identify a statistic that measures

a. the variation among the sample means.

b. the variation within the samples.

The statistical approach of analysis of variance, or ANOVA, divides observed variance data into multiple components for use in additional tests. For three or more groups of data, a one-way ANOVA is used to learn more about the relationship between the dependent and independent variables.

Consider the ANOVA with one variable.

The treatment mean square statistic (MSTR) is used to calculate the variation between sample means.

$MSTR=\frac{SSTR}{k-1}$

The number of populations under consideration is $k$.

SSTR stands for the sum of squares treatment.

The statistical approach of analysis of variance, or ANOVA, divides observed variance data into multiple components for use in additional tests. For three or more groups of data, a one-way ANOVA is used to learn more about the relationship between the dependent and independent variables.

Consider the ANOVA with one way effects.

The statistic used to measure the variation within the sample means is the error mean square (MSE).

$MSE=\frac{SSE}{n-k}$

The number of populations considered is $k$, and the total number of observations is $n$.

SSE stands for squared error sum.