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Immunology Below Limit Interval

Represent a supplied below-limit assay interval without assigning an imputed result.

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Description

Describe a supplied below-limit interval and upper-bound inclusion.

Immunological records separate assay controls, marker codes, censoring, replicate identity and instrument signal conventions. Background-relative ratios need their exact control definition and may extend beyond a unit interval. Flow-detector quantities retain their native instrument units; a local ratio or source label does not classify a cell or establish immunity.

Describe a supplied below-limit interval and upper-bound inclusion.

When to use this tool

Use Immunology Below Limit Interval when you already have reportedLimit, nonnegativeLower, strictlyBelow and need to describe a supplied below-limit interval and upper-bound inclusion.

How to use the tool and how it works

  1. Enter reportedLimit, nonnegativeLower, strictlyBelow. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read lower, upper, upperIncluded. Inspect upperIncluded before interpreting the associated values.

Require 0<=nonnegativeLower<=reportedLimit; return both bounds and upperIncluded=!strictlyBelow.1

Input fieldMeaning and unitsAccepted input
reportedLimitReported LimitRequired. Finite number.
nonnegativeLowerSupplied lower endpoint, at least zero and no greater than reportedLimit.Required. Finite number; minimum 0.
strictlyBelowStrictly BelowRequired. Boolean.
Output fieldInterpretationReturned shape
lowerLowerRequired. Finite number.
upperUpperRequired. Finite number.
upperIncludedThe inverse of strictlyBelow; no separate lower-inclusion flag is returned.Required. Boolean.
json
{
  "input": {
    "reportedLimit": 0.2,
    "nonnegativeLower": 0,
    "strictlyBelow": true
  },
  "output": {
    "lower": 0,
    "upper": 0.2,
    "upperIncluded": false
  }
}

Limitations and assumptions

  • This records the supplied upper-bound policy without imputing a value, validating a detection limit or determining clinical meaning; a separate lower-inclusion flag is not supplied.
  • 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

Review the original assay, control, detector and gating records for substantive interpretation. Use the complete validated analysis with explicit units and censoring treatment; a source token, local subtraction or normalization term does not establish a biological or clinical conclusion.

References

  1. Calculation and input contract: immunology/immunology-below-limit-interval — tool.io

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