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SINGLE MEAN CHANGE POINT

Single Mean Change Point Calculator

Find the single split minimizing within-segment squared deviations in an ordered numeric series.

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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

    Compare every valid two-mean fit against one overall mean using centered prefix sums.

    Best split minimizes SSEleft+SSEright over all allowed split positions

    Worked example

    Values1,2,1,10,11,10 split after observation3.

    Assumptions and input details

    Exactly one candidate mean break and equal squared-error weights. This returns an optimized descriptive split, not a significance test, online detection alarm or proof of a real regime change.

    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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