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# Tscore

## on Mar 15, 2011

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## TscorePresentation Transcript

• OUTLINE• 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 exam• Need to reflect the relative achievement level of pupils within their peers. 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 th i choice. h l f their h i
• What is PSLE Aggregate Score? It is a sum of scores. What are these scores? Are they raw scores?
• The PSLE Aggregate Score• incorporates performance of pupils in all 4 subjects• allows pupils to be ranked fairly y
• Can raw scores be used?NO !
• Wh Not?Why• 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 OF S P R E A D Narrow Wide
• HURRAY! I scored 85% in both EnglishDOLLY and Mother Tongue !
• Dolly scores 85% in both EL and MT Her performance in MT is very close to that of other pupils p p 85% She did much better in EL as compared to other pupils EL MT0 100 EL ave MT ave = 60 = 80
• A need for standardisation ofthe raw scores Transformed Score or T-Score
• EL T-Score MT85% 85% ave = 80 ave = 60 50T-Score converts average mark of each subjectto a common score of 50 points It also converts points.other marks taking into consideration the extentto which they differ from the average and the y gsize of spread of the marks around the average
• What is T-Score? 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 subject compared to others
• How is T-Score calculated foreach subject? T = 50 + 10 (X - Y) Z where X: pupil s mark for the subject pupil’s Y: average mark (mean) scored by all p p pupils Z: spread of marks around the average mark (standard deviation)
• Example: p• Pupil’s mark (X) in exam p ( ) = 50.0• Average mark (Y) scored by all pupils = 68.0• S Spread of marks (Z) around the d f k d th average mark (Y) = 14.0 T = 50 + 10 (50 - 68.0) 14.0 = 37.14
• How is the AggregateScore calculated? By adding the T-Scores of the 4 subjects
• Example: a pe Subject Total Mark T Score T-Score EL1 200 105 34 CL2 200 152 51 Maths 100 67 53 Science 100 58 47 Aggregate: 185
• Finally,Finallyall pupils are rankedaccording to their AggregateScores
• T-SCORES & GRADES:Is it possible for a pupil with3A* and 1A to be ranked lowerthan another pupil who hasonly 1A* and 3As?Yes, it is possible
• Subj John’s Susan’s Mark T- Mark T- (Grade) Score (Grade) Score EL1 182 60 190 68 A A* MT 185 70 180 68 A* A MA 91 60 80 58 A* A SC 92 56 86 55 A* AAggregate T Score: T-Score: 246 249