Description
Compare one score with a supplied mastery cut under an explicit equality rule.
Scoring rules combine points, item weights, boundaries and policies for omission, extra credit or missing items. A computed mark is meaningful only under those explicit rules; applying a rule does not establish its fairness or official status.
Compare one score with a supplied mastery cut under an explicit equality rule.
When to use this tool
Use Mastery Cut Score Distance One Student when checking one supplied scoring contribution or policy boundary.
How to use the tool and how it works
- Enter score, cut, inclusive, maximum. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read distance, mastered, maximumMargin. Inspect mastered before interpreting the associated values.
Require maximum >= cut and score <= maximum. distance = score-cut; mastered uses score >= cut when inclusive, otherwise score > cut; maximumMargin = maximum-score.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| score | Score | Required. Finite number. |
| cut | Cut | Required. Finite number. |
| inclusive | Inclusive | Required. Boolean. |
| maximum | Maximum | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| distance | Distance | Required. Finite number. |
| mastered | Result of the supplied cut-score rule, not independent mastery assessment. | Required. Boolean. |
| maximumMargin | Maximum Margin | Required. Finite number. |
{
"input": {
"score": 75,
"cut": 70,
"inclusive": true,
"maximum": 100
},
"output": {
"distance": 5,
"mastered": true,
"maximumMargin": 25
}
}Limitations and assumptions
- No lower score bound is imposed here. Mastery is the supplied cut rule's label, not an independent educational or clinical conclusion.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the complete approved rubric and score record for an official outcome, and examine measurement quality separately.
References
Similar or alternative tools
- Guessing Corrected Score One Item
score is zero if omitted, one if correct, otherwise -1/(alternatives-1).
- Student Motivation Scale Missing Item Term
Apply an explicit missing-item proration rule and flag whether a complete-scale score is available.