Question

True or false: If you know any two of the three sums of squares, $SST$, $SSTR$, and $SSE$, you can determine the remaining one. Explain your answer.

Short answer

The given statement is true.

Step-by-step solution

Given Information

Consider the following: "If we know the two square sums $SST,SSTR,SSE$, we can figure out the rest."

Explanation

The overall sum of the squares is equal to the sum of the treatment squares plus the sum of the error squares.

$SST=SSTR+SSE$

If we know the two sums, we can figure out the rest using the above equation.

Therefore, the given statement is true.