Computer Output for One-Way ANOVA for Independent Samples

A study was done to see if memory changes with age. Different subjects were tested on their memory in their 30s, 40s, and 50s. Participants were shown a number of words and asked to write down as many words as they could remember.

STEP 1 Group (Age) N (# of Words) Mean Std. Dev. Std. Err. 1 30s 6 15.7 2.16 .882 2 40s 6 14.2 2.86 1.17 3 50s 6 11.2 2.56 1.05 One Way ANOVA: Words by Age Source STEP 2 Sum of Squares df Mean Square F Ratio PROB Between Groups 63 2 31.5 4.87 .023 Within Groups 97 15 6.47 Total 160 17 Post Hoc Test: Tukey HSD with Significance Level .05 * Indicates significant differences shown for pairings STEP 3 Mean Age 15.7 30s 14.2 40s 11.2 50s Group 1 (30s) Group 2 (40s) Group 3 (50s)