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River Valley Primary School – Strive for the Best
River Valley Primary School – Strive for the Best
PSLE
SEMINAR
OUTLINE

PSLE is a placement exam

What is the PSLE Aggregate SCORE?

Why is T-Score used?

Definition & Calculation of T-Score

Questions about T-Score
River Valley Primary School – Strive for the Best
PSLE - a placement exam

Need to reflect the relative achievement level
of pupils within their peers.

Places pupils into different courses according
to their academic ability

Enables posting to secondary schools by
merit and as far as possible into a school of
their choice.
River Valley Primary School – Strive for the Best
What is PSLE Aggregate Score?
It is a sum of scores.
What are these
scores?
Are they
raw
scores?
River Valley Primary School – Strive for the Best
The PSLE Aggregate Score
 incorporates performance of
pupils in all 4 subjects
 allows pupils to be ranked fairly
River Valley Primary School – Strive for the Best
Can raw scores be used?
NO !
River Valley Primary School – Strive for the Best
Why Not?
 Different subjects have different
levels of difficulty
 So are the spread of marks from the
average mark, i.e. the standard
deviation
(spread = standard deviation)
River Valley Primary School – Strive for the Best
MEASURE OF
S P R E A D
Narrow
Wide
River Valley Primary School – Strive for the Best
HURRAY!
DOLLY
I scored 85% in
both English
and Mother
Tongue !
River Valley Primary School – Strive for the Best
Dolly scores 85% in both EL and MT
Her performance in MT is very
close to that of other pupils
85%
She did much better
in EL as compared to
other pupils
EL
0
MT
EL ave
= 60
MT ave
= 80
River Valley Primary School – Strive for the Best
100
A need for standardisation of
the raw scores
Transformed Score
or T-Score
River Valley Primary School – Strive for the Best
EL
T-Score
MT
85%
85%
ave = 80
ave = 60
50
T-Score converts average mark of each subject to a
common score of 50 points. It also converts other
marks taking into consideration the extent to which
they differ from the average and the size of spread
of the marks around the average
River Valley Primary School – Strive for the Best
What is T-Score?
• It gives the relative position of a
pupil’s performance as compared
to the performance of all the other
pupils in that subject
• The raw mark obtained in the exam
only shows how good the pupil is in
that subject, not how good he is as
compared to others
River Valley Primary School – Strive for the Best
How is T-Score calculated for
each subject?
(X - Y)
=
+
T 50 10
Z
where
X: pupil’s mark for the subject
Y: average mark (mean) scored by all
pupils
Z: spread of marks around the average
mark (standard deviation)
River Valley Primary School – Strive for the Best
Example:
• Pupil’s mark (X) in exam
= 50.0
• Average mark (Y) scored by
all pupils
= 68.0
• Spread of marks (Z) around the
average mark (Y)
= 14.0
T = 50 + 10 (50 - 68.0)
14.0
= 37.14
River Valley Primary School – Strive for the Best
How is the Aggregate
Score calculated?
By adding the T-Scores of
the 4 subjects
River Valley Primary School – Strive for the Best
Example:
Subject
Total
Mark
T-Score
EL1
200
105
34
CL2
200
152
51
Maths
100
67
53
Science
100
58
47
Aggregate: 185
River Valley Primary School – Strive for the Best
Finally,
all pupils are ranked
according to their Aggregate
Scores
River Valley Primary School – Strive for the Best
T-SCORES & GRADES:
Is it possible for a pupil with
3A* and 1A to be ranked lower
than another pupil who has
only 1A* and 3As?
Yes, it is possible
River Valley Primary School – Strive for the Best
Subj
John’s
Susan’s
Mark
TMark
T(Grade) Score (Grade) Score
EL1
MT
MA
SC
182
A
185
A*
91
A*
92
A*
60
70
60
56
Aggregate T-Score:
190
A*
180
A
80
A
86
A
246
68
68
58
55
249
River Valley Primary School – Strive for the Best
Expected Mean Aggregate Score by Class 2009
6A
6B
6C
6D
6E
6F
6G
Mean Aggregate Score
260
245
235
210
205
210
220
River Valley Primary School – Strive for the Best
Estimation of Aggregate Score
65 X4= 260
260 X 0.8=208
260X 0.75=195
75 X 4=300
300 X 0.8=240
300 X 0.75=225
80 x 4=320
320X 0.8=256
320X 0.75= 240
River Valley Primary School – Strive for the Best
Agg
Sco
EL
CL
Math
Sci
Total
Avg
0.75
0.8
EL
MT
MA
Sci
A
81
76
82
88
327
82
245
262
A
A
A*
A*
262
B
82
78
85
82
327
82
245
262
A*
A*
A*
A*
261
C
83
84
59
80
306
77
230
245
A
A
A*
A*
251
D
84
58
100
90
332
83
249
266
A*
A
A*
A*
250
E
63
91
87
76
317
79
238
254
B
A*
A*
A
240
F
73
79
85
74
311
78
233
249
A
A
A*
A
240
G
78
80
72
73
303
76
227
242
A
A
A
B
230
H
67
87
79
70
303
76
227
242
B
A
A
A
230
I
62
65
82
68
277
69
208
222
B
A
A*
B
220
J
63
62
68
70
263
66
197
210
B
A
A
A
220
K
66
68
73
74
281
70
211
225
B
A
A
B
220
L
65
79
61
76
281
70
211
225
B
A
B
A
210
M
60
76
53
60
249
62
187
199
B
A
B
B
209
N
60
65
50
58
233
58
175
186
B
A
B
B
201
O
57
70
51
56
234
59
176
187
B
A
B
B
200
P
48
63
47
41
199
50
149
159
C
A
B
C
181
Q
58
57
53
61
229
57
172
183
C
A
C
B
182
Student
River Valley Primary School – Strive for the Best
Average of 4
Subjects
Possible Aggregate
Score
80 & Above
250- 280
75
230- 245
70
215- 220
60
200
50
180
River Valley Primary School – Strive for the Best
River Valley Primary School – Strive for the Best