The partially completed ANOVA table given in this problem is taken from the article “Perception of Spatial Incongruity” (Journal of Nervous and Mental Disease [1961]: 222), in which the abilities of three different groups to identify a perceptual incongruity were assessed and compared. All individuals in the experiment had been hospitalized to undergo psychiatric treatment. There were 21 individuals in the depressive group, 32 individuals in the functional “other” group, and 21 individuals in the brain-damaged group. Complete the ANOVA table. Carry out the appropriate test of hypothesis (use α = .01), and interpret your results.

Source of Variation Treatments Error Total df Sum of Squares 1123.14 Mean Square 76.09 F