Question
Step 2: Set the Critical Value df between : # of Groups - 1 = df within : N (total) - # of Groups =
Step 2: Set the Critical Value
df
between
: # of Groups - 1 =
df
within
: N (total) - # of Groups =
F
critical
Step 3: Calculate Test (or Obtained) Statistic
Step A: calculate sum of squares between (SSB)
SS
between
=
(
)
2
o
In words: take the average of each group ( ) subtract from it the overall average (
). Then, square each of those values. Then, multiply those values by the
sample size of that group. Then, the sigma tells us to add up all those values.
(
)
2
(
)
2
Group 1: Morning
Group 2: Afternoon
Group 3: Evening
Sum (
)
SSbetween =
Step B: calculate sum of squares within (SSW)
SS
within
=
(
)
2
o
In words: take each individual observation (
) subtract from it the average of the
group that observation is in ( ). Then, square all those values. The two sigmas
(
) tell us to (1) add up all the values for each group, then (2) add up those group
sums together.
Group 1: Morning
Group 2: Afternoon
Group 3: Evening
1
(
1
1
)
2
2
(
2
2
)
2
3
(
3
3
)
2
6
10
4
7
12
6
6
12
6
8
10
3
Sum (
)
Mean ( )
SSwithin =
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Income Tax Fundamentals 2013
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
31st Edition
1111972516, 978-1285586618, 1285586611, 978-1285613109, 978-1111972516
