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Therefore, the resulting skill vector task 3 in Q-ATAS is 000011010000 (see Fig. 8).
For example, row 3 and column 2: in 86% of all tasks with "REC" in their skill vector, "ANAL" is also defined as necessary; row 2 and column 3: in 50% of all tasks with "ANAL" in their skill vector, "REC" is also defined as necessary in this skill vector (Figs. 9, 10, 11, 12).
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Skill vectors of the two new tasks are equal in all Q matrix models because these tasks were not part of the validation process.
For example, to solve task 3 successfully the apprentice needs the following four skills (skill-vector 00001111000000: see Table 1).
The other way around, a person who fails all tasks with "TOOL" in their skill-vector can be diagnosed with a high probability as a "TOOL -non-master.
Hence, persons without the skill TOOL in their person-skill-vector will fail to master this particular task, but also all other tasks which require this particular TOOL-skill.
The underlying skills to solve tasks correctly are not compensable, meaning that a low ability (lack) of a specific skill (e.g., TOOL) of one's person-skill-vector cannot be compensated by a high ability of another skill (e.g., INFO).
Consequently, a person with a certain skill-deficit (e.g., is not "able to work with domain specific tools": TOOL) in its skill-vector will, for example, have a low probability of solving tasks which require the application of IP specific tools "TOOL", irrespective of other needed skills.
The Q matrix connects the skill-vectors of all 22 IP tasks.
Therefore, it needs to be evaluated which of the fourteen skills are relevant in a sufficient amount of tasks' skill-vectors and in a unique manner.
This fine-grained construction process was done for each task and their skill-vectors were translated into the initial Q matrix (see Table 2).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com