Which of the following statements is false?
A) The sum of squares for treatments (SST) explains some of the variation.
B) The sum of squares for error (SSE) measures the amount of variation that is unexplained.
C) The total sum of squares Total SS = SST + SSE.
D) The total sum of squares Total SS measures the amount of variation within the samples.
E) The sum of squares for treatments (SST) explains some of the variation and the total sum of squares Total SS = SST + SSE.

Question

Quizplus · Accepted Answer

The total sum of squares (Total SS) measures the total amount of variation in the data, including both the variation within the samples (captured by the sum of squares for error, SSE) and the variation between the treatment groups (captured by the sum of squares for treatments, SST). Therefore, option D is false because it states that the total sum of squares only measures the amount of variation within the samples, which is incorrect.

Which of the Following Statements Is False