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SAMPLE ENTROPY

Sample Entropy Calculator

Measure sequential template recurrence with nonself Chebyshev-distance matches and a fixed common template set.

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Result

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Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    Use the same n−m start positions at both template lengths, count unordered distinct matching pairs and include equality at the tolerance.

    SampEn=−ln(A/B); B matches at length m, A matches at length m+1

    Worked example

    The repeating sequence 1,2,1,2,1,2,1,2 with m=2 and tolerance 0.1 has every length-two recurrence extend, giving sample entropy zero.

    Assumptions and input details

    Absolute tolerance is entered directly, not automatically scaled by sample SD. No self matches. Requires matching pairs at both lengths; zero counts make the finite entropy undefined and are rejected. Descriptive sequence measure only, with no physiological or randomness diagnosis.

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

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