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IJRSSAugust 2016Volume 6, Issue 8ISSN: 22492496___ The Invariance of Item Response Theory (IRT) Parameter Estimates and Classical Test Theory (CTT) StatisticsKesamang Monamodi E. E. Ph.D.* Abstract
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01
Define the groups for comparison (e.g., different demographics).
02
Gather the data for each group to assess.
03
Check for measurement invariance by conducting a multi-group confirmatory factor analysis (CFA).
04
Evaluate configural invariance by ensuring the same factor structure holds across groups.
05
Test metric invariance by checking if factor loadings are equivalent across groups.
06
Assess scalar invariance by confirming if intercepts are identical across groups.
07
If needed, conduct further tests for residual invariance and strict invariance.
08
Interpret the results to determine if the measuring tool is equivalent across groups and items.

Who needs group and item invariance?

01
Researchers in social sciences conducting comparative studies.
02
Organizations measuring results across diverse populations.
03
Psychologists validating assessment tools for different groups.
04
Educational institutions evaluating student performance across demographics.
05
Any entity seeking to ensure fair measurement across various subgroups.
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Group and item invariance refers to the property of a measurement instrument to provide consistent results across different groups of respondents and items. This means that the relationships measured by the instrument are not influenced by the grouping of participants or the specific items used.
Researchers and organizations conducting assessments or evaluations that involve multiple groups and items are typically required to file for group and item invariance, especially when they aim to ensure that their measurements are valid and comparable.
To fill out group and item invariance, researchers need to collect data from different groups using the same measurement instrument, and then analyze the data using statistical methods such as confirmatory factor analysis to test for invariance across groups and items.
The purpose of group and item invariance is to ensure that comparisons made between different groups or items are meaningful and that the measurement instrument functions similarly across diverse populations.
Information that must be reported includes details about the groups being compared, the items used in the measurement, the statistical analyses performed, and the results indicating whether invariance was achieved.
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