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u2-Sample t Test
2-Sample t Test compares the population means when the population standard deviations
are unknown. The 2-Sample t Test is applied to t-distribution.
The following applies when pooling is in effect.
t
=
o
1
– o
2
n
1
1
+
n
2
1
x
p
n–1
2
σ
x
p n–1
=
σ
n
1
+ n
2
– 2
(n
1
–1)x
1
n–1
2
+(n
2
–1)x
2
n–1
2
σ
σ
df
= n1 + n2 – 2
The following applies when pooling is not in effect.
t =
o
1
– o
2
x
1 n–1
2
σ
n
1
+
x
2 n–1
2
σ
n
2
df =
1
C
2
n
1
–1
+
(1–C )
2
n
2
–1
C =
x
1 n–1
2
σ
n
1
+
x
2 n–1
2
σ
n
2
x
1 n–1
2
σ
n
1
Perform the following key operations from the statistical data list.
3(TEST)
c(T)
c(2-Smpl)
1-2-13
Tests (TEST)
o1 :mean of sample 1
o2 :mean of sample 2
x1
σ
n-1 :standard deviation of
sample 1
x2
σ
n-1 :standard deviation of
sample 2
n1 :size of sample 1
n2 :size of sample 2
xp
σ
n-1 : pooled sample standard
deviation
df :degrees of freedom
o1 :mean of sample 1
o2 :mean of sample 2
x1
σ
n-1 :standard deviation of
sample 1
x2
σ
n-1 :standard deviation of
sample 2
n1 :size of sample 1
n2 :size of sample 2
df :degrees of freedom
20011101