A researcher is interested in the influence of age on creativity. The researcher

Question

A researcher is interested in the influence of age on creativity. The researcher recruits kids from 4 different age groups: 4 year olds, asks them to come up with as many different ways to use a paper clip as they can in 5 minutes. The results are shown in the table below 2. 6 year olds, 8 year olds, and 10 years, and Age 4 Age 6 Age 8 Age 10 12 14 10 6 ing the above data, answer the following questions and fill in the ANOVA summary table. a) Compute SStotal, SSbetween and SSwithin (3 points) b) Compute df total, df within and df betwen (3 points) c) Compute MSwithin and MS between (2 points) d) Compute the F-statistic (1 point) ANOVA Summary Table Source Between Within Total df MS

Explanation / Answer

(a)   SStotal=140.9375
       SS between=73.1875
       SS within=67.75
(b) df total=15
     dfwithin=3
     df between=12
(c) MS within=5.6458
     MS between=24.3958
(d) F statistic= 4.3210

ANOVA Source of Variation SS df MS F P-value F crit Between Groups 73.1875 3 24.39583 4.321033 0.02771407 3.4902948 Within Groups 67.75 12 5.645833 Total 140.9375 15

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