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x/p TIMSS test

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Looking at a technical manual for the TIMSS it looks like not all students were administered all the questions so you can't simply convert a raw score to a scaled score. Achievement results from TIMSS are reported on a scale from 0 to 1,000, with a TIMSS scale average of 500 and standard deviation of 100.

This is from the manual and here is the link





To keep student burden to a minimum, TIMSS administered a limited number of assessment

items to each student—too few to produce accurate content-related scale scores for each

student. To accommodate this situation, during the scaling process plausible values were

estimated to characterize students participating in the assessment. Plausible values are imputed

values and not test scores for individuals in the usual sense. In fact, they are biased estimates of

the proficiencies of individual students.

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