scholarly journals The Implementation Of An Online Mathematics Placement Exam And Its Effects On Student Success In Precalculus And Calculus

2020 ◽  
Author(s):  
Doug Bullock ◽  
Janet Callahan ◽  
Yuguang Ban ◽  
Alison Ahlgren ◽  
Cheryl Schrader
Keyword(s):  
Student Success ◽  
Mathematics Placement ◽  
Placement Exam ◽  
Online Mathematics

Bayesian Estimation of Normal Ogive Item Response Curves Using Gibbs Sampling

1992 ◽  
Vol 17 (3) ◽  
pp. 251-269 ◽  
Author(s):  
James H. Albert
Keyword(s):  
Gibbs Sampling ◽  
Maximum Likelihood Estimates ◽  
Posterior Density ◽  
Response Curves ◽  
Density Estimates ◽  
Mathematics Placement ◽  
Item Parameters ◽  
Normal Ogive Model ◽  
Using Data ◽  
Placement Exam

The problem of estimating item parameters from a two-parameter normal ogive model is considered. Gibbs sampling (Gelfand & Smith, 1990) is used to simulate draws from the joint posterior distribution of the ability and item parameters. This method gives marginal posterior density estimates for any parameter of interest; these density estimates can be used to judge the accuracy of normal approximations based on maximum likelihood estimates. This simulation technique is illustrated using data from a mathematics placement exam.

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