Relating your PIRA and PUMA test marks to the national standard
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1 Relating your PIRA and PUMA test marks to the national standard We have carried out a detailed statistical analysis between the results from the PIRA and PUMA tests for Year 2 and Year 6 and the scaled scores of the 2016 national tests. In doing this, the PIRA and PUMA test raw scores of 1,150 children for PiRA and over 1,400 children for PUMA from 56 schools across the country have been linked to the scaled scores achieved by the same children in their actual national tests*. In order to describe the relationship between the Rising Stars PIRA and PUMA tests and the national test scores, a statistical technique known as linear regression was used to model the relationship between the two variables. Outputs of this analysis are provided below as tables and graphs to assist teachers in using the findings to relate their own children s PiRA and PUMA marks to the national test scaled scores. *Please note that this will be indicative only. Other factors can influence a child s performance on any given day. How this analysis will help you The results of this analysis provide teachers with a clear indication of the marks children are likely to need in their PIRA and PUMA tests in order to achieve a scaled score of 100 or above when they sit their national tests. The Relationship Tables show what PIRA and PUMA raw marks were achieved by children who went on to achieve 100 or more in the national tests. Children achieving similar scores in the PIRA and PUMA tests in would therefore be operating at the national standard. The analysis correlates all PIRA and PUMA marks to the full range of scaled scores from 85 to 115 at KS1 and 80 to 120 at KS2. This analysis should concentrate efforts to help identify those currently on track to perform slightly below the 100 scaled score, so you can use your PIRA and PUMA gap analysis to highlight the areas for development/intervention.
2 Using the Relationship Tables Relating your PIRA and PUMA test marks to the national standard The Relationship Tables have been created to enable you to monitor the marks children are likely to need in their PIRA and PUMA tests in order to achieve a scaled score of 100 or above when they sit their national tests The middle column shows you the child s Estimated Scaled Score. The numbers on either side of this are prediction and confidence intervals this simply means they show the lowest score the child is likely to achieve, and the highest. Because all children and all test experiences vary, it is impossible to say that they will definitely achieve the number in the middle column but you can be comfortable that there is a 95% chance they will achieve a score between the lowest and highest listed in that row. Using the Relationship Graphs For each table there is a corresponding graph which has the PIRA or PUMA test marks plotted against the national test scores, for easy reference. Either side of the central line are two lines directly above and below which show the upper and lower 95% s for the estimated scaled score of all pupils in the population. The outer lines show a prediction with 95% confidence for individual pupil s scaled score from their PIRA or PUMA test mark.
3 PiRA 6 Autumn Test Relationship Table PIRA 6 Autumn Test mark prediction limit National Test scores Estimated Scaled Score prediction limit 1 < < < < < < < < < < > > > > > > > > >120
4 PiRA 6 Autumn Test Relationship Graph
5 PIRA 6 Spring Test Relationship Table PIRA 6 Spring Test mark prediction limit National Test scores Estimated Scaled Score prediction limit 1 < < < < < < < > > > > > > > > > >120
6 PiRA 6 Spring Test Relationship Graph
7 PIRA 6 Summer Test Relationship Table PIRA 6 Summer Test mark prediction limit National Test scores Estimated Scaled Score prediction limit 1 < < < < < < < < < > > > > > > > > > > >120
8 PiRA 6 Summer Test Relationship Graph
Relating your PIRA and PUMA test marks to the national standard
Relating your PIRA and PUMA test marks to the national standard We have carried out a detailed statistical analysis between the results from the PIRA and PUMA tests for Year 2 and Year 6 and the scaled
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