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. Author manuscript; available in PMC: 2014 Jul 1.
Published in final edited form as: Multivariate Behav Res. 2013 Jul 26;48(4):563–591. doi: 10.1080/00273171.2013.802647

Table 1.

Bayesian Estimation Results of MIRT Models

Single-level MIRT Multilevel MIRT

EAP (SD) p 99% CI EAP (SD) p 99% CI
Constitutional Law on
 UGPA 0.601 (.062) .000 0.442, 0.763 0.596 (.063) .000 0.433, 0.759
 LSAT 0.035 (.004) .000 0.025, 0.046 0.033 (.004) .000 0.022, 0.042
Contracts on
 UGPA 0.487 (.056) .000 0.343, 0.632 0.478 (.057) .000 0.331, 0.624
 LSAT 0.026 (.003) .000 0.018, 0.034 0.023 (.003) .000 0.013, 0.029
Criminal Law and Procedure on
 UGPA 0.439 (.067) .000 0.265, 0.610 0.425 (.067) .000 0.254, 0.598
 LSAT 0.041 (.004) .000 0.030, 0.051 0.038 (.004) .000 0.028, 0.046
Evidence on
 UGPA 0.510 (.058) .000 0.359, 0.658 0.503 (.059) .000 0.350, 0.655
 LSAT 0.035 (.003) .000 0.026, 0.043 0.032 (.004) .000 0.020, 0.040
Real Property on
 UGPA 0.471 (.057) .000 0.323, 0.617 0.458 (.058) .000 0.311, 0.608
 LSAT 0.042 (.004) .000 0.033, 0.052 0.037 (.004) .000 0.025, 0.047
Torts on
 UGPA 0.415 (.062) .000 0.257, 0.577 0.415 (.064) .000 0.249, 0.581
 LSAT 0.024 (.003) .000 0.016, 0.032 0.022 (.005) .000 0.009, 0.033

‘Pass or Fail’ on
 Constitutional Law 0.869 (.315) .002 0.060, 1.760 0.995 (.402) .004 −0.042, 2.211
 Contracts 1.173 (.418) .002 0.145, 2.381 1.359 (.520) .002 0.103, 2.991
 Criminal Law and Procedure 0.847 (.360) .007 −0.072, 1.849 1.002 (.432) .005 −0.063, 2.299
 Evidence 1.130 (.343) .000 0.284, 2.101 1.305 (.424) .000 0.352, 2.611
 Real Property 0.816 (.394) .017 −0.200, 1.927 0.950 (.460) .017 −0.282, 2.305
 Torts 1.099 (.385) .002 0.136, 2.205 1.279 (.493) .002 0.093, 2.730

‘Pass or Fail’ on
 UGPA −0.599 (.259) .007 −1.316, 0.036 −0.695 (.303) .004 −1.572, 0.020
 LSAT −0.104 (.025) .000 −0.178, −0.046 −0.116 (.026) .000 −0.180, −0.059

Note. EAP represents expected a posteriori, which is a point estimate. SD represents standard deviation. p represents one-tailed p-value. 99% CI represents 99% credibility interval.