Suppose that you analyze data from a completely randomized experimental design using a one-way ANOVA.You find out later that the data was actually from a randomized block experimental design and use the ANOVA procedure to reanalyze the data.The total sum of squares from your first analysis will be ______ the total sum of squares from your second analysis.
A)equal to
B)less than
C)greater than
D)Cannot be determined.

Question

Quizplus · Accepted Answer

The total sum of squares (SST) in an ANOVA analysis is a measure of the total variability in the data and is independent of the experimental design (whether it's a completely randomized design or a randomized block design). It's calculated before considering the design structure, based solely on the differences between individual data points and the overall mean. Therefore, the total sum of squares remains the same regardless of the analysis method.

Suppose That You Analyze Data from a Completely Randomized Experimental