A good test needs to be fit for purpose - in other words it needs to match the requirements of the situation in which it is being used. This involves it demonstrating a number of qualities associated with effective testing in general - reliability, transparency, coverage, different types of validity, practicality etc - but also matching the needs of the learners with whom it is being used - and this might include such factors as age, level, culture, communicative needs and so on.
Some examples :
- if a progress test or an achievement test did not test the items taught in the preceding course or section of a course, the test would lack content validity and not be "fit for purpose". It would fail to show if the learners had or hadn't assimilated and retained those items and therefore would not accurately reflect their progress or achievement.
- if a placement test did not have a number of items likely to be known by learners who were at each level of linguistic competence (say for the CEFR levels A1 - C2) its coverage would not discriminate effectively between learners. If for example it had a very limited number of items at A2 and all of them at the upper end of the level, it could result in learners who were actually at B1 level being placed in A2 classes (because they had correctly answered the A1 items but not the "hard" A2 items or items from B1 and beyond).
However, that learner might well have a good grasp of "easier" A2 items that were not included in the test and actually be ready to start a B1 class - where revision of "harder" A2 items would probably be included. It would therefore not be "fit" for its intended purpose of placing learners in the correct class.
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