What is the difference between NRT and CRT assessments?

Norm-referenced tests (NRT) rank students relative to a norm group (SAT, IQ tests). Criterion-referenced tests (CRT) measure performance against a defined standard (NAEP Proficient, state standards mastery). NRTs are best for selection decisions; CRTs are best for instructional planning and standards-based accountability.

Can a student score at the 50th percentile but still be below proficiency?

Yes. The 50th percentile (average for the norm group) and 'Proficient' on a standards-based assessment are independent metrics. In many states, the Proficient threshold is set at approximately the 60th–70th percentile, meaning the majority of students who score 'average' on norm-referenced tests may score 'Basic' on criterion-referenced proficiency scales.

Norm-Referenced vs. Criterion-Referenced Score Converter

Formula Definitions

The Norm-Referenced vs. Criterion-Referenced Score Converter works by applying a well-defined formula to the values you enter. Understanding the formula behind the calculation helps you interpret the result and check that your inputs are correct. Below we break down the key components that drive the NRT vs CRT Score.

The core formula used by this calculator is:

Result = f(inputs, settings)

Each variable in the formula has a specific meaning:

inputs — Values entered into the NRT vs CRT Score.
settings — Options, units, or parameters that adjust how the calculation is performed.
Result — Computed output for the chosen inputs and settings.

How to Use This Calculator

Enter the required values. Enter the required values into the Norm-Referenced vs. Criterion-Referenced Score Converter input fields.
Adjust settings. Adjust any settings, select applicable options, or choose units as needed.
Calculate the result. Press Calculate to compute the result using the underlying formula.
Interpret the output. Review and interpret your result using the provided context, reference ranges, or explanatory notes.

Glossary and Definitions

Input: A value entered into the calculator to be processed.
Output: The computed result returned by the calculator for the given inputs.
Setting: An option that adjusts how the calculation is performed, such as unit selection or mode.
Norm-referenced: A key concept referenced by the NRT vs CRT Score: Convert between norm-referenced (percentile rank, stanine, NCE, z-score) and criterion-referenced (proficiency level, mastery percentage, performance level) score formats. Includes standard score table for major standardised assessments.
Criterion-referenced: A key concept referenced by the NRT vs CRT Score: Convert between norm-referenced (percentile rank, stanine, NCE, z-score) and criterion-referenced (proficiency level, mastery percentage, performance level) score formats. Includes standard score table for major standardised assessments.
Percentile rank: A key concept referenced by the NRT vs CRT Score: Convert between norm-referenced (percentile rank, stanine, NCE, z-score) and criterion-referenced (proficiency level, mastery percentage, performance level) score formats. Includes standard score table for major standardised assessments.
Proficiency level: A key concept referenced by the NRT vs CRT Score: Convert between norm-referenced (percentile rank, stanine, NCE, z-score) and criterion-referenced (proficiency level, mastery percentage, performance level) score formats. Includes standard score table for major standardised assessments.
Mastery score: A key concept referenced by the NRT vs CRT Score: Convert between norm-referenced (percentile rank, stanine, NCE, z-score) and criterion-referenced (proficiency level, mastery percentage, performance level) score formats. Includes standard score table for major standardised assessments.
Assessment type: A key concept referenced by the NRT vs CRT Score: Convert between norm-referenced (percentile rank, stanine, NCE, z-score) and criterion-referenced (proficiency level, mastery percentage, performance level) score formats. Includes standard score table for major standardised assessments.