# Statistics: Analysis of Variance (ANOVA) – #4494

Question: Suppose we’re interested in nonsense syllable learning. We select three groups of participants, each of which learns a list of nonsense syllables under different conditions. The first group learns the list in a normally lit room; the second group learns the list in a darkened room lit only by a small lamp placed near the memory drum (a rotating device with a small window where each nonsense syllable appears briefly); the third group learns the list in a room with flashing lights. We record the number of repetitions of the list each participant requires before he or she has an errorless repetition. We intended to have the same N in each group, but one of the participants was unable to complete training and her data were discarded. The data are as follows:

 Group X1 (Normal Room) Group X2 (Dark Room) Group X3 (Flashing Lights) 5 3 10 7 4 11 6 5 20 10 10 13 15 7 10 11 6 8 8 2 7 7 4 12 5 12

Compute F and test it for significance.