IRT Modeling Lab

3. Creating Parallel Forms Using IRT


To construct two parallel forms using IRT, a test developer can follow a procedure similar to the one for creating a single form. Item parameters and item information functions are examined to create TCCs and TIFs that maximize measurement precision in a specific ability range. Forms are judged to be parallel if they have nearly identical (overlapping) TCCs and TIFs.

To illustrate how to create multiple parallel forms of a test with desired psychometric properties, we designed two Excel workbooks that can be used to construct forms for the 3PL and SGR models.

Parallel Forms_25 items 3PL

To use this workbook, download it to a desired folder and double click on the Parallel Forms_25 items 3PL.xls icon. The workbook contains two worksheets labeled "All items" and "FormA&B."

Paste your item parameters (b, a, c) into the "All items" worksheet. Next, select the first five columns, A through E, as shown below (shaded cells). Assuming you pasted parameters for only 10 items the contents of the unshaded cells can be deleted.
Parallel Forms


Next, sort the a-parameters in descending order and color code items having similar a-values. Also update the number of items in the blue cell.

Parallel Forms


Next, select columns A through E and sort the b-parameters in ascending order (easy to difficult). Now you can easily assemble two forms by assigning items to each based on the b-values and the color codes.

Parallel Forms


Then, paste the item parameters for both forms into the appropriate cells of the worksheet named "FormsA&B." Compare the resulting TIFs and TCCs, and switch items as necessary until the desired level of overlap is achieved. Representative plots for two parallel forms are shown below.

Graph


To download a sample workbook to create parallel forms using the SGR model (5 options) click here.

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