The Monotonic Polynomial Graded Response Model: Implementation and a Comparative Study.

ABSTRACT: We present a monotonic polynomial graded response (GRMP) model that subsumes the unidimensional graded response model for ordered categorical responses and results in flexible category response functions. We suggest improvements in the parameterization of the polynomial underlying similar models, expand upon an underlying response variable derivation of the model, and in lieu of an overall discrimination parameter we propose an index to aid in interpreting the strength of relationship between the latent variable and underlying item responses. In applications, the GRMP is compared to two approaches: (a) a previously developed monotonic polynomial generalized partial credit (GPCMP) model; and (b) logistic and probit variants of the heteroscedastic graded response (HGR) model that we estimate

SUBMITTER: Falk CF 

PROVIDER: S-EPMC7383691 | biostudies-literature | 2020 Sep

REPOSITORIES: biostudies-literature