Proof of Reliability Convergence to 1 at Rate of Spearman–Brown Formula for Random Test Forms and Irrespective of Item Pool Dimensionality

Keyphrases

• Short Tests 100%
• Random Testing 100%
• Proofs of Reliability 100%
• Test Form 100%
• Item Response Theory 50%
• Practical Utility 50%
• Constructor 50%
• Test Reliability 50%
• Psychometric Tests 50%
• Correlated Errors 50%
• Logistic Model 50%
• Regularity Conditions 50%
• True Score 50%
• Almost Unbiased 50%
• Finite-dimensional 50%
• Bias Problem 50%
• Model Reliability 50%
• Score-based Models 50%
• Reliability-centered 50%
• Asymptotic Convergence Rates 50%

Mathematics

• Logistic Model 100%
• Asymptotics 100%
• Regularity Condition 100%
• Rate of Convergence 100%
• Probability 100%