Parallel Optimal Calibration of Mixed-Format Items for Achievement Tests.

Area of Science:

• Educational Measurement
• Psychometrics
• Applied Statistics

Background:

• Large-scale achievement tests require item calibration before operational use.
• Existing calibration methods often assume sequential examinee arrival.
• Simultaneous or parallel test administration is common in many calibration scenarios.

Purpose of the Study:

• To develop an optimal calibration design for parallel test setups.
• To investigate the efficiency gains of the proposed method.
• To demonstrate the practical implementation of the method in real-world calibration.

Main Methods:

• Development of an optimal calibration design for parallel test administration.
• Inclusion of mixed-format item handling.
• Accounting for varying expected response times.

Main Results:

• The proposed method significantly enhances calibration efficiency.
• The method is suitable for mixed-format tests.
• Demonstrated successful implementation in a real-world case study.

Conclusions:

• The developed optimal calibration design is effective for parallel test setups.
• This method offers substantial efficiency improvements for large-scale achievement testing.
• The approach is practical for real-world calibration of mixed-format tests with varying response times.