The following docu. is based on suggestion(s) discussed during meeting and :

Mize, T. D. (2026). Item response theory [Lecture slides]. CNR/TStat Italy 2026, Purdue University.

Suggestion(s) :

  • Refine Research Question(s)

  • Re-order Problems

  • Split each cohort by term & analyze each model

0.1 Research Question(s) :

  • How many latent dimensions are there?

    • Method : EFA

  • How difficult is each question?

    • Method : \[ \mathbb{P}(Y_{ij}=1|\eta_j=\text{item difficulty})=0.5 \]

  • Which questions measure student ability most precisely?

    • Fisher information

  • Which questions best distinguish students of different abilities?

    • discrimination scores

1 Re-Order

Fall <- Midterms_lst$F23_Midterm
Winter <- Midterms_lst$W24_Midterm
Spring <- Midterms_lst$S24_Midterm

1.1 Fall

1.2 Winter

1.3 Spring