Question

In some ANOVA summary tables you will see, the labels in the first (source) column are Treatment, Error, and Total Which of the following reasons best explains why the within-treatments variance is sometimes referred to as the error variance"? O The within-treatments variance measures random, unsystematic differences within each of the samples assigned to each of the treatments. These differences are not due to treatment effects because everyone within each sample received the same treatment; therefore, the differences are sometimes referred to as error O Differences among members of the sample who received the same treatment occur when the researcher makes an error, and thus these differences are sometimes referred to as "error." O Differences among members of the sample who received the same treatment occur because some treatments are more effective than others, so it would be an error to receive the less superior treatments. O The within-treatments variance measures treatment effects as well as random, unsystematic differences within each of the samples assigned to each of the treatments. These differences represent all of the variations that could occur in a study; therefore, they are sometimes referred to as "error." In ANOVA, the F test statistic is the of the between-treatments variance and the within-treatments variance. The value of the F test statistic is When the null hypothesis is true, the F test statistic is When the null hypothesis is false, the F test statistic is most likely In general, you should reject the null hypothesis for

Answer 1

1.The reason that best explains why the within-treatments variance is sometimes referred to as 'error variance'

ans-> i)

2. ratio

3. less than or equal to 1, greater than 1, a higher value F statistic.