(2016-03-24, 5:52 pm)pm215 Wrote:After rereading the IRT explanation again, I think I might have assumed the "possible to miss points on correct questions" bit, but this is what I was thinking of:(2016-03-24, 2:24 pm)zx573 Wrote: You can lose points for correct answers still as far as I understand (and get points for incorrect answers).Why do you think that? The Item Response Theory stuff that the JLPT info about scaling refers you to is a pile of maths that I don't really understand, but I wouldn't expect it to result in a correct answer increasing your score or an incorrect answer decreasing it...
Quote:Scaled scores are determined mathematically based on “answering patterns” of how examinees answer particular questions (correctly or incorrectly). For example, a test consisting of 10 questions (items) has a maximum of 1024 answering patterns (210 patterns). For the scaled-score calculation process for the new test, based on these answering patterns Japanese-language proficiency of examinees is positioned on a scale between 0 and 60 points for one scoring section (0-120 points for Language Knowledge [Vocabulary/Grammar]・Reading for N4 and N5). Because the maximum 1024 answering patterns of a test consisting of 10 questions (actual exams have more questions) are categorized into 61 groups, scaled scores sometimes become identical for different answering patterns. Therefore, scaled scores can be identical for two examinees even when the number of questions they correctly answer or their answering pattern does not match.
If their scaled scores are identical but the number of questions they answer correctly differ, then that implies to me that they either weigh certain questions differently (probably the most likely case after rereading it), or you sometimes get assigned to a matrix where you might lose (or gain) some points somewhere.
Without knowing the exact details of how they calculate things, I think either of those are possible.
Edit: I read up some papers on IRT a little bit. So I was wrong about being able to lose points for incorrect answers (most likely). It seems like the way points for each problem is determined is parameters like difficulty of question and chance of guessing question correctly, and probably a few other parameters that I don't know of (different models exist, and I don't know what they're using exactly).
This paper has some good examples that should be easy to understand even if you aren't good at math (the first half, second half gets more mathy): http://www.creative-wisdom.com/computer/sas/IRT.pdf
Sorry for spreading bad information based on my misunderstanding.
Edited: 2016-03-24, 6:34 pm

