Question

Do not just fill the blanks. Please explain how you get each blank. show your work. Thanks

1. Complete the One-Way ANOVA summary table (you do NOT need raw data to do this) df MS Fobs CV Source 40 Between (group)80 Within/Error Total 100 14

Answer 1

Sum of squares (SS):  

SS_within = SS_Total - SS_Between = 100 - 80 = 20

SS_within = 20

Dgrees of Freedom (DF) :

$DF_{Between} = \frac {SS_{Between}} { MS_{Between}} = \frac {80}{40} = 2$

DF_Between = 2

DF_Within = DF_Total - DF_Between = 14 - 2 = 12

Mean sum of squares:

$MS_{within} = \frac {SS_{within}} { DF_{within}} = \frac {20}{12} = 1.6667$

MS_within = 1.67

$F_{obs} = \frac {MS_{Betwewn}} { MS_{within}} = \frac {40}{1.67} = 23.9521$

F_obs = 23.95

ANOVA summary table:

Source	SS	df	MS	Fobs
Between(group)	80	2	40	23.95
Within/Error	20	12	1.67
Total	100	14