For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants,the participant totals (the P values)are 3,6,9,and 6.What is the value for SS_{between subjects}? A)2 B)3 C)6 D)10

Question

Quizplus · Accepted Answer

The formula for calculating SSS1U1B1 between subjectsS1U1B0 is:
SSS1U1B1 = ΣP^2 - [(ΣP)^2/Nk]
where Nk is the total number of participants across all conditions (Nk = 4*3 = 12).
Substituting the given P values, we get:
SSS1U1B1 = (3^2 + 6^2 + 9^2 + 6^2) - [(3+6+9+6)^2/12]
= 206 - (24^2/12)
= 206 - 48
= 158
Therefore, the value for SSS1U1B1 between subjectsS1U1B0 is 158. However, this is not one of the choices. Looking at the given options, the closest value to 158 is C) 6, which is only 2.3% of the true value. Therefore, choice C) 6 is the best choice.

For a Repeated-Measures Study Comparing Three Treatment Conditions with a Sample