Consider the following ANOVA table: The total number of observations is:
A) 25
B) 29
C) 30
D) 32

Question

Consider the following ANOVA table:  The total number of observations is:
A) 25 
B) 29 
C) 30 
D) 32

Quizplus · Accepted Answer

The total sum of squares (SS) is divided into three components: treatment SS, error SS, and total SS. The degrees of freedom (df) for each component are as follows: treatment df = k-1 (where k is the number of groups), error df = n-k (where n is the total number of observations), and total df = n-1. In this ANOVA table, the treatment df is 2, the error df is 27, and the total df is 29. Therefore, the total number of observations is n = total df + 1 = 29 + 1 = 30.

Consider the Following ANOVA Table: the Total Number of Observations