calcLogLikelihood: Calculate log-likelihood

Description

calcLogLikelihood is a function for calculating log-likelihood values.

Usage

calcLogLikelihood(object, theta, resp)
# S4 method for item_pool,numeric,numeric
calcLogLikelihood(object, theta, resp)
# S4 method for item_pool,numeric,matrix
calcLogLikelihood(object, theta, resp)
# S4 method for item_pool,matrix,numeric
calcLogLikelihood(object, theta, resp)
# S4 method for item_pool,matrix,matrix
calcLogLikelihood(object, theta, resp)

Value

calcLogLikelihood returns values of log-likelihoods.

Arguments

object: an item_pool object.
theta: theta values to use.
resp: the response data to use.

References

Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests. Copenhagen: Danish Institute for Educational Research.

Lord, F. M. (1952). A theory of test scores (Psychometric Monograph No. 7). Richmond, VA: Psychometric Corporation.

Birnbaum, A. (1957). Efficient design and use of tests of mental ability for various decision-making problems (Series Report No. 58-16. Project No. 7755-23). Randolph Air Force Base, TX: USAF School of Aviation Medicine.

Birnbaum, A. (1958). On the estimation of mental ability (Series Report No. 15. Project No. 7755-23). Randolph Air Force Base, TX: USAF School of Aviation Medicine.

Birnbaum, A. (1958). Further considerations of efficiency in tests of a mental ability (Series Report No. 17. Project No. 7755-23). Randolph Air Force Base, TX: USAF School of Aviation Medicine.

Birnbaum, A. (1968). Some latent trait models and their use in inferring an examinee's ability. In Lord, F. M., Novick, M. R. (eds.), Statistical Theories of Mental Test Scores, 397-479. Reading, MA: Addison-Wesley.

Masters, G. N. (1982). A Rasch model for partial credit scoring. Psychometrika, 47(2), 149-174.

Andrich, D. (1978). A rating formulation for ordered response categories. Psychometrika, 43(4), 561-573.

Muraki, E. (1992). A generalized partial credit model: Application of an EM algorithm. Applied Psychological Measurement, 16(2), 159-176.

Samejima, F. (1969). Estimation of latent ability using a response pattern of graded scores. Psychometrika Monograph, 17.

Examples

Run this code

j_pool   <- calcLogLikelihood(itempool_science, seq(-3, 3, 1), 0)

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