OUTLINEOUTLINE
• PSLE is a placement exam• PSLE is a placement exam
• What is the PSLE Aggregate SCORE?gg g
• Why is T-Score used?
• Definition & Calculation of T-Score
• Questions about T-Score
PSLE a placement examPSLE - a placement exam
• Need to reflect the relative achievement level of pupils within their peerspeers.
• Places pupils into different coursesPlaces pupils into different courses according to their academic ability
• Enables posting to secondary schools by merit and as far as possible into a
h l f th i h ischool of their choice.
What is PSLE Aggregate Score?What is PSLE Aggregate Score?
It is a sum of scores.
What are these scores? Are they
rawraw scores?
The PSLE Aggregate ScoreThe PSLE Aggregate Score
• incorporates performance of pupils in all 4 subjectsof pupils in all 4 subjects
• allows pupils to be ranked fairlyy
Can raw scores be used?
NO !NO !
Wh Not?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)
MEASURE OFMEASURE OFS P R E A D
Narrow WideNarrow Wide
H U R R A Y !
I scored 85% in
DOLLYboth English and Mother DOLLY
Tongue !
Dolly scores 85% in both EL and MT
85%Her performance in MT is very close to that of other pupils 85%p p
She did much betterShe did much better in EL as compared to other pupils
EL MT
EL ave MT ave0 100
EL ave= 60
MT ave= 80
A need for standardisation of the raw scores
Transformed ScoreTransformed Score or T-Score
T-ScoreEL MT
ave = 80
85% 85%
ave = 60ave = 80
50
T-Score converts average mark of each subject to a common score of 50 points It also convertsto 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 y gsize of spread of the marks around the average
What is T Score?What is T-Score?• It gives the relative position of aIt gives the relative position of a
pupil’s performance as compared to the performance of all the otherto 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 that subject, not how good he is as compared to others
How is T-Score calculated for each subject?
ZY)-(X1050T +=
where X: pupil’s mark for the subjectX: pupil s mark for the subjectY: average mark (mean) scored by all pupilsp pZ: spread of marks around the average mark (standard deviation)
Example:p
• Pupil’s mark (X) in exam = 50.0p ( )• Average mark (Y) scored by
all pupils = 68.0S d f k (Z) d th• Spread of marks (Z) around the
average mark (Y) = 14.0
T = 50 + 10 (50 - 68.0)14.0
= 37.14
How is the AggregateScore calculated?Score calculated?
By adding the T-Scores ofthe 4 subjectsthe 4 subjects
Example:a p e
Subject Total Mark T-ScoreSubject Total Mark T Score
EL1 200 105 34
CL2 200 152 51Maths 100 67 53
Science 100 58 47
Aggregate: 185Aggregate: 185
FinallyFinally,
all pupils are rankedall pupils are ranked according to their Aggregate Scores
T-SCORES & GRADES:
Is it possible for a pupil with 3A* and 1A to be ranked lower3A* and 1A to be ranked lower than another pupil who has only 1A* and 3As?
Yes, it is possible
John’s Susan’sSubj
Mark(Grade)
T-Score
Mark(Grade)
T-Score
EL1 182A
60 190A*
68
MT 185A*
70 180A
68
MA 91 60 80 58MA 91A*
60 80A
58
SC 92 56 86 55SC 92A*
56 86A
55
Aggregate T-Score: 246 249Aggregate T Score: 246 249