calcLogLikelihood-methods function

Calculate log-likelihood

calcLogLikelihood is a function for calculating log-likelihood values. methods

calcLogLikelihood(object, theta, resp)

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

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

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

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

Arguments

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

Returns

calcLogLikelihood returns values of log-likelihoods.

Examples

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

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.