Question

3. Calculating the sum of squares Aa Aa You are interested in whether dating frequency influences the rate of men's beard growth. You measure the monthly beard growth of men who date with different frequencies. There are four men in each group. Your data from three of the groups are below Beard Growth (in inches per month) Group 2 4-5 times per week 2-3 times per week 2-3 times per month 0.5401 0.5321 0.4812 0.5009 0.5136 0.0274 0.0008 Group Group 1 Group 3 Dating Frequency Total 0.5614 0.5937 0.5303 0.4910 0.5441 0.0439 0.0019 0.4306 0.4814 0.4626 0.4507 0.4563 0.0213 0.0005 Mean Standard Deviation Variance 0.5047 0.0479 0.0023 Calculate the SSgroup, SSerror, and SStotal for this data set The SStotal is The SSgroup is Therefore, SSerrr S

Answer 1

X1 0.5614 0.5937 0.5303 0.491 2 X2 0.5401 0.5321 0.4812 0.5009 X3 0.4306 0.4814 0.4626 0.4507 Total 1.5321 1.6072 1.4741 1.4426 12 6.056 0.5047 2.1764 0.5441 1.18994874 0.0019 2.0543 0.5136 1.05729267 0.0008 1.8253 0.4563 0.83429157 0.0005 Average --ΣΧ/na grand mean Xgrand Total observation 12 number of groups between groups degree of freedom df»e-k-1 - within groups degree of freedom dfwg-N-k Total degree of freedom 2 9 df Total Si n(X-gand)(n-1) s 0.5441 0.5136 0.4563 0.0000 0.002 0.001 0.000 0.000 0.01 0.00 0.01 0.00 0.0159 0.01 0.00 0.00 0.00 0.0094 2 0 0 total sum of square between groups -SSG sum of square within groups SSE total sum of square (n-1)*S SSG SSE 0.0159 0.0094 0.0253

from above SStotal =0.0253

SSgroup=0.0159

SSerror =0.0094