In one-way ANOVA, the sum of the squared deviations of each individual sample observation (regardless of the sample to which it belongs) from the mean of all observations is called:
A) the F statistic
B) the total sum of squares
C) the grand mean
D) the unexplained variance
E) the F statistic and the total sum of squares

Question

Quizplus · Accepted Answer

The sum of the squared deviations of each individual observation from the overall mean is called the total sum of squares (TSS) and is calculated by summing the squared deviations of each observation from the grand mean. It represents the total variation in the data set and is used to calculate the proportion of variation in the data that can be attributed to the factor being tested in the ANOVA.

In One-Way ANOVA, the Sum of the Squared Deviations of Each