Adaptive Quiz Simulator

This simulator demonstrates Computerized Adaptive Testing (CAT) using Item Response Theory. The system selects questions that provide maximum information about your ability level based on your previous responses.

Your Ability Estimate

0.0 Theta (θ)
Standard Error: 2.0
Questions: 0/10
Measurement Precision

Ready to begin?

The simulator will present 10 questions. Each question is selected based on your performance so far to efficiently estimate your ability level.

How Adaptive Testing Works

1. Item Bank

The system has questions calibrated by difficulty (b parameter) ranging from -3 (easy) to +3 (hard).

2. Ability Estimation

After each response, the system updates its estimate of your ability (θ) using maximum likelihood estimation.

3. Item Selection

The next question is selected to provide maximum information at your current estimated ability.

4. Precision

As you answer more questions, the standard error decreases and ability estimates become more precise.