Theory & Design Principles (6 min)
IRT 2PL Model:
P(correct) = 1 / (1 + e^(-a(θ - b)))
Where θ = learner ability, b = item difficulty, a = item discrimination
Key Features:
- Efficiency: 40-60% fewer items than fixed-length tests
- Precision: Standard error < 0.3 in 8-12 items
- Formative: Feedback and hints available during test
- Diagnostic: Identifies specific strengths and gaps
Key Innovation: Unlike traditional CAT (no feedback), SBCAT makes assessment a learning opportunity