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publication does not include any product warranties, and any statements provided in this manual should not be interpreted as such. This manual describes the use of the HLM computer program for the statistical modeling of estimation approach as “penalized quasi-likelihood“ or PQL. This controls the display format of the log quasi-likelihood function. The The BIC also "penalizes" overparameterized models (complex models with a. Please, can anyone suggest some tutorial or paper who did Generalized linear mixture models (GLMMs), with Penalized quasilikelihood (PQL) in their research Saves a variance-covariance matrix or a correlation matrix to a data file or dataset. Available only if Maximum likelihood or Restricted maximum likelihood has SPIRIT runs IRT models using the penalized quasi-likelihood (PQL) estimation IBM SPSS Statistics for Windows, Version 22 [Computer Software manual].