Math placement item bank for the CAT design lab

A fictional calibrated 2PL item bank of 180 items for a college math placement test, 45 in each of four content areas. 40 items make up the college's current fixed-length test. The bank has weaknesses built in on purpose for the CAT design lab; lab_truth("catbank") lists them.

Usage

catbank

Format

A data frame with 180 rows and 5 columns: item (item ID), area (factor: Algebra, Functions, Geometry or Statistics), a (discrimination), b (difficulty) and fixed (logical, TRUE for the items on the current fixed test).

Source

Simulated; the script is data-raw/catbank.R in the package's GitHub repository.

Examples

table(catbank$area, catbank$fixed)
#>             
#>              FALSE TRUE
#>   Algebra       35   10
#>   Functions     35   10
#>   Geometry      35   10
#>   Statistics    35   10
tapply(catbank$a, catbank$area, mean)
#>    Algebra  Functions   Geometry Statistics 
#>   1.735556   1.129556   1.046444   1.075111