Calibration interval drift planner calculator

Calculate observed OLS drift slope and fitted day-zero error with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use observed OLS drift slope and fitted day-zero error to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Dated errors JSON [elapsed days,error measurement units]
[[0,0],[10,0.1],[20,0.2]]
Permitted lower error (measurement units)
-0.5
Permitted upper error (measurement units)
0.5
Observed OLS drift slope (units/day)
0.01
Fitted day-zero error (measurement units)
0
Fitted error at last observation (measurement units)
0.2
Projected directional limit-crossing day
50

Try another scenario

Dated errors JSON [elapsed days,error measurement units]
[[0,0],[10,0.2],[20,0.4]]
Permitted lower error (measurement units)
-0.5
Permitted upper error (measurement units)
0.5
Observed OLS drift slope (units/day)
0.02
Fitted day-zero error (measurement units)
0
Fitted error at last observation (measurement units)
0.4
Projected directional limit-crossing day
25
Calculation method

Calculation method

Observed OLS drift slope (units/day)

Cov(day,error)/sum squared centered days.

Fitted day-zero error (measurement units)

mean(error)-slope*mean(day).

Fitted error at last observation (measurement units)

intercept+slope*maxDay.

Projected directional limit-crossing day

Solve (directionalLimit-intercept)/slope; zero slope or past crossing returns explicit status.

Symbols and units
a
Dated errors JSON [elapsed days,error measurement units]
b
Permitted lower error (measurement units)
c
Permitted upper error (measurement units)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Unweighted linear trend through dated errors. Projection is conditional, not a recommended calibration interval; no uncertainty, nonlinearity or manufacturer interval inferred. Supported limits: 2..1000 unique increasing day offsets>=0; finite errors; lower<upper; no constant-time series.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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