EDF5432
Spring 2002
Worksheet 2
Obtain values by using the five assumptions of Classical Theory, four different forms of
reliability, and the facts; a.
σ=
, and
b.
22
XT
σ+
σ
2
E
'
XY
X Y
ρ
=ρ
.
1.
a. Given
X
= 10 and
E
= 2, what is
T
?
T
=
X
–
E
= 10 – 2 = 8
b. Given
and
, what is
2
5
T
2
10
X
2
E
σ
?
σ
2
E
=
σ
2
X
–
σ
2
T
= 10 – 5 = 5
c. Given
and
, what is
2
3
T
2
9
X
2
XT
ρ
?
ρ
2
XT
=
ρ
XX’
=
σ
2
T
/σ
2
X
= 3/9 =0.33
d. Given
and
, what is
2
1
E
2
4
X
2
XT
ρ
?
ρ
2
XT
=
ρ
XX’
= 1 –
σ
2
E
/σ
2
X
= 1 – 1/4 =
0.75
e. X and X' are parallel tests. Given
2
10
X
σ
=
and
'
0.3
XX
ρ
=
, what is
? What is
?
σ
2
'
X
σ
XT
ρ
2
X’
=
σ
2
X
= 10,
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 Spring '06
 Fenley
 classical theory, Xt, σ2E /σ2X, σ2T /σ2X, σ2X – σ2T

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