วันพุธที่ 11 มีนาคม พ.ศ. 2569

Stanine

 In educational assessment, a stanine (short for STAndard NINE) is a method of scaling test scores on a nine-point standard scale with a mean of 5 and a standard deviation of 2.

It is designed to simplify the interpretation of test results by grouping scores into broad categories rather than looking at precise raw scores or percentiles.

How Stanines Work

The scale converts a normal distribution of scores into nine units. Because it follows a bell curve, most students fall into the middle stanines (4, 5, and 6), while very few fall into the extreme ends (1 or 9).

StaninePercentage of CasesPerformance Level
94%Highest (Top)
87%Well Above Average
712%Above Average
617%High Average
520%Average
417%Low Average
312%Below Average
27%Well Below Average
14%Lowest (Bottom)

Key Characteristics

  • Coarseness: Because it only has nine points, it "smooths out" small, insignificant differences between students. For example, two students with slightly different raw scores might both be a "Stanine 6," preventing over-interpretation of minor score gaps.

  • Comparison: It allows educators to compare a student’s performance across different subjects (e.g., comparing a Stanine 7 in Math to a Stanine 5 in Reading) using a single, unified metric.

  • Simplicity: It is often easier for parents and students to understand than complex z-scores or T-scores.

Mathematical Context

If you are working with standard normal distributions, the stanine (S) can be calculated from a z-score (z) using the following linear transformation:

S = 2z + 5

The result is then rounded to the nearest whole number between 1 and 9.

Use in Pedagogy

In the context of Outcome-Based Education (OBE) or curriculum design, stanines are frequently used to identify groups of students who may need additional support or advanced enrichment, as they provide a clear snapshot of where a student sits relative to a peer group.

Would you like me to help you create a grading rubric or a distribution chart based on this scale?

--Gemini