IntelligenceMax updates a learner estimate after every answer and displays it on the familiar IQ scale. The arithmetic resembles item response theory. That resemblance is useful, but it is easy to ask the formula to carry more meaning than it can bear.
A formula can be internally consistent while its inputs remain uncertain. Here, the distinction begins with the item parameters.
The update rule
For ability θ, item difficulty b, and discrimination a, the model assumes a logistic P(correct). The first estimate has a normal prior centred at 100 with SD 15. After an answer, the implementation takes one capped local update using score and Fisher information. Per-answer change is capped at 1.5 points.
The calculation is the easy part. The inputs are where the uncertainty lives.
