Examples
Examples
Try the starting example
- Reference value (measurement units)
- 10
- Repeat readings (measurement units)
- 10,11,12
- User-supplied two-sided Student t critical value (dimensionless)
- 4.30265273
- Mean bias (measurement units)
- 1
- Sample standard deviation (measurement units)
- 1
- Bias interval lower (measurement units)
- -1.484138
- Bias interval upper (measurement units)
- 3.484138
Try another scenario
- Reference value (measurement units)
- 10
- Repeat readings (measurement units)
- 11,12,13
- User-supplied two-sided Student t critical value (dimensionless)
- 4.30265273
- Mean bias (measurement units)
- 2
- Sample standard deviation (measurement units)
- 1
- Bias interval lower (measurement units)
- -0.484138
- Bias interval upper (measurement units)
- 4.484138
Calculation method
Calculation method
Mean bias (measurement units)
mean(readings)-reference.
Sample standard deviation (measurement units)
sqrt(sum((x-mean)^2)/(n-1)).
Bias interval lower (measurement units)
bias-tCritical*s/sqrt(n).
Bias interval upper (measurement units)
bias+tCritical*s/sqrt(n).
Symbols and units
- a
- Reference value (measurement units)
- b
- Repeat readings (measurement units)
- c
- User-supplied two-sided Student t critical value (dimensionless)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
sum(list) adds all entries in the list.
Assumptions & limits
Assumptions & limits
- Student interval conditional on independent normal errors and negligible reference uncertainty. User supplies critical value, its degrees of freedom and coverage must match their intended inference; defaults illustrate n=3, two-sided 95%. Supported limits: 2..1000 finite readings; tCritical>0.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.