Test of Basic Arithmetic and Numeracy Skills

About the measure

Version

TOBANS

Subject

Maths

Assessment screening

Subscales

8 tests — arithmetic tests (addition, addition with carry, subtraction, subtraction with carry, multiplication), basic number processing tests (dot comparison, digit comparison, count the dots).

Publisher

Oxford University Press

Test source

https://global.oup.com/education/content/primary/series/tobans/?region=uk

Guidelines available?

Yes

Norm-referenced scores

Yes

Age range

7 – 11 Years

Key Stage

Key Stage 1, Key Stage 2

UK standardisation sample

Yes

Publication date

2014

Re-norming date

N/​a

Eligibility

Validity measures available?

Yes

Reliability measures available?

Yes

note whether shortlisted, and reasons why not if relevant

Shortlisted

Administration format

Additional information about what the test measures

Basic number sense (digit and got comparison), enumeration (counting), fluency of basic calculation skills (addition, subtraction and multiplication).

Are additional versions available?

N/​a

Can subtests be administered in isolation?

Yes — separate scores are provided on each subtest.

Administration Group Size

Individual, Small group, Whole class

Administration duration

Timed test. Children are given 60 seconds or less to complete each subtest. Allow additional time to introduce the tests.

Description of materials needed to administer test

Manual, photocopied test sheets, writing implements, stopwatch.

Any special testing conditions?

Organise the the classroom in a way that will facilitate administration of the test. Ask children to be quiet and listen carefully to instructions.

Response format

Response mode

Electronic

What device is required?

N/​a

Question format

Multiple Choice

Progress through questions

Flat

Assessor requirements

Is any prior knowledge/training/profession accreditation required for administration?

Not stated (no)

Is administration scripted?

N/​a

Assessor requirements

Description of materials needed to score test

User manual, online tracker and correlation charts to Numicon, Inspire Maths or MyMaths (www.oxfordowl.co.uk).

Types and range of available scores

Raw scores, standard scores (<70 – >130, subtest standard scores, composite arithmetic standard score, overall standard score).

Score transformation for standard score

Age standardised

Age bands used for norming

6 months

Scoring procedures

Computer scoring with manual entry of responses from paper form/​simple manual scoring key — clerical skills required.

Automatised norming

Online

Construct Validity

Rating Construct

Does it reflect the multidimensionality of the subject?

Specific measure of mathematics — arithmetic and numeracy efficiency and fluency.

Construct validity comments (and reference for source)

Construct validity was assessed by comparing performance against a well established measure. All participants in the standardisation sample also completed the numerical operation test of the WIAT2UK (adapted for group administration). Correlations with arithmetic composite score of TOBANS were excellent and adequate to good for other subtests (arithmetic composite .81, count the dots .64, digit comparison .62, dot comparison .54).

Criterion Validity

Rating Criterion

Summarise available comparisons

Criterion validity was assessed by comparing performance against maths SATS score a term later for a sub-sample of participants from the standardisation sample (N=160). Correlations with arithmetic composite score of TOBANS were excellent and good for other subtests (arithmetic composite .72, count the dots .54, digit comparison .49, dot comparison .36).

Reliability

Rating Reliability

Summarise available comparisons

Good test-retest correlations on all subscales .72 – .93 (with a two day interval). (Addition .92, addition with carry .89, subtraction .88, subtraction with carry .85, multiplication .93, arithmetic composite .97, dot comparison .72, digit comparison .80, count the dots .79.) Demographics of test-retest reliability sample are unclear (N=93).

Is the norm-derived population appropriate and free from bias?

Does the standardisation sample represent the target/general population well?

If any biases are noted in sampling, these will be indicated here.

Whole classes participate, all schools located in Yorkshire, information about SEND and FSM provided at school level only, where is below national average in both cases. Gender differences were small and not statistically reliable.

Sources

Sources

Brigstocke, S., Moll, K., & Hulme, C. (2016). Test of Basic Arithmetic and Numeracy Skills. Oxford, UK: Oxford University Press.