Discrete analogs of Fisher information and least favorable distributions in robust estimation of location parameters

N. O. Vil’chevskii; G. L. Shevlyakov

doi:10.1007/bf02368731

Discrete analogs of Fisher information and least favorable distributions in robust estimation of location parameters

Journal of Mathematical Sciences ◽

10.1007/bf02368731 ◽

1995 ◽

Vol 75 (2) ◽

pp. 1500-1503

Author(s):

N. O. Vil’chevskii ◽

G. L. Shevlyakov

Keyword(s):

Robust Estimation ◽

Fisher Information ◽

Location Parameters ◽

Discrete Analogs

Download Full-text

Minimax robust estimation of location and minimizing fisher information

10.1109/cdc.1976.267772 ◽

1976 ◽

Author(s):

Edward Price ◽

V. VandeLinde

Keyword(s):

Robust Estimation ◽

Fisher Information

Download Full-text

Modeling Self-Determination Theory Motivation Data by Using Unfolding IRT

European Journal of Psychological Assessment ◽

10.1027/1015-5759/a000629 ◽

2020 ◽

pp. 1-9

Author(s):

Philipp A. Freund ◽

Annette Lohbeck

Keyword(s):

Ideal Point ◽

Self Determination Theory ◽

Self Determination ◽

Dominance Model ◽

Irt Model ◽

Autonomous Behavior ◽

Location Parameters ◽

Unfolding Models ◽

Using Data ◽

Item Location

Abstract. Self-determination theory (SDT) suggests that the degree of autonomous behavior regulation is a characteristic of distinct motivation types which thus can be ordered on the so-called Autonomy-Control Continuum (ACC). The present study employs an item response theory (IRT) model under the ideal point response/unfolding paradigm in order to model the response process to SDT motivation items in theoretical accordance with the ACC. Using data from two independent student samples (measuring SDT motivation for the academic subjects of Mathematics and German as a native language), it was found that an unfolding model exhibited a relatively better fit compared to a dominance model. The item location parameters under the unfolding paradigm showed clusters of items representing the different regulation types on the ACC to be (almost perfectly) empirically separable, as suggested by SDT. Besides theoretical implications, perspectives for the application of ideal point response/unfolding models in the development of measures for non-cognitive constructs are addressed.

Download Full-text