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420 TESTS<br />

syllabus; then it indicates the marks/percentages<br />

to be awarded for each area. This indicates several<br />

points:<br />

<br />

<br />

<br />

<br />

<br />

The least emphasis is given to the build-up<br />

to and end of the war (10 marks each in the<br />

‘total’ column).<br />

The greatest emphasis is given to the invasion<br />

of France (35 marks in the ‘total’ column).<br />

There is fairly even coverage of the objectives<br />

specified (the figures in the ‘total’ row only vary<br />

from 9 to 13).<br />

Greatest coverage is given to objectives 2a and<br />

3a, and least coverage is given to objective 1c.<br />

Some content areas are not covered in the test<br />

items (the blanks in the matrix).<br />

Hence we have here a test scheme that indicates<br />

relative weightings, coverage of objectives and<br />

content, and the relation between these two latter<br />

elements. Gronlund and Linn (1990) suggest that<br />

relative weightings should be addressed by first<br />

assigning percentages at the foot of each column,<br />

then by assigning percentages at the end of each<br />

row, and then completing each cell of the matrix<br />

within these specifications. This ensures that<br />

appropriate sampling and coverage of the items<br />

are achieved. The example of the matrix refers to<br />

specific objectives as column headings; of course<br />

these could be replaced by factual knowledge,<br />

conceptual knowledge and principles, and skills<br />

for each of the column headings. Alternatively<br />

they could be replaced with specific aspects of<br />

an activity, for example (Cohen et al. 2004: 339):<br />

designing a crane, making the crane, testing the<br />

crane, evaluating the results, improving the design.<br />

Indeed these latter could become content (row)<br />

headings, as shown in Box 19.2. Here one can<br />

see that practical skills will carry fewer marks<br />

than recording skills (the column totals), and that<br />

making and evaluating carry equal marks (the row<br />

totals).<br />

This exercise also enables some indication to<br />

be gained on the number of items to be included<br />

in the test, for instance in the example of the<br />

history test the matrix is 9 × 6 = 54 possible<br />

items, and in the crane activity example the<br />

matrix is 5 × 4 = 20 possible items. Of course,<br />

there could be considerable variation in this, for<br />

example more test items could be inserted if it were<br />

deemed desirable to test one cell of the matrix with<br />

more than one item (possible for cross-checking),<br />

or indeed there could be fewer items if it were<br />

possible to have a single test item that serves<br />

more than one cell of the matrix. The difficulty<br />

in matrix construction is that it can easily become<br />

a runaway activity, generating very many test<br />

items and, hence, leading to an unworkably long<br />

test – typically the greater the degree of specificity<br />

required, the greater the number of test items there<br />

will be. One skill in test construction is to be able<br />

to have a single test item that provides valid and<br />

reliable data for more than a single factor.<br />

Having undertaken the test specifications, the<br />

researcher should have achieved clarity on the<br />

exact test items that test certain aspects of achievement<br />

of objectives, programmes, contents etc., the<br />

coverage and balance of coverage of the test items<br />

and the relative weightings of the test items.<br />

Box 19.2<br />

Compiling elements of test items<br />

Content area Identifying key concepts Practical skills Evaluative skills Recording results Total<br />

and principles<br />

Designing a crane 2 1 1 3 7<br />

Making the crane 2 5 2 3 12<br />

Testing the crane 3 3 1 4 11<br />

Evaluating the results 3 5 4 12<br />

Improving the design 2 2 3 1 8<br />

Total 12 11 12 15 50

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