To test whether memory changes with age, a researcher conducts an experiment in

Question

To test whether memory changes with age, a researcher conducts an experiment in which there are four groups of six subjects each. The groups differ according to the age of subjects. In group 1, the subjects are each 30 years old; group 2, 40 years old; group 3, 50 years old; and group 4, 60 years old. Assume that the subjects are all in good health and that the groups are matched on other important variables such as years of education, IQ, gender, motivation, and so on. Each subject is shown a series of nonsense syllables (a meaningless combination of three letters such as DAF or FUM) at a rate of one syllable every 4 seconds. The series is shown twice, after which the subjects are asked to write down as many of the syllables as they can remember. The number of syllables remembered by each subject is shown here:

30 Years
Old 40 Years
Old 50 Years
Old 60 Years
Old 14 12 17 13 13 15 14 10 15 16 14 7 17 11 9 8 12 12 13 6 10 18 15 9

Explanation / Answer

One-way ANOVA: Y versus Age

Source DF SS MS F P
Age 3 108.33 36.11 5.40 0.007
Error 20 133.67 6.68
Total 23 242.00

S = 2.585 R-Sq = 44.77% R-Sq(adj) = 36.48%

Here, the size of the effect is R-Sq=44.77%

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