Conservative savings claim bound calculator

A specified one-sided claim rule subtracts its error margin from estimated savings. The multiplier depends on the stated statistical or contract basis; the formula does not choose that basis.

S_{\text{lower}} = \max\left(S_{\text{est}} - k \times \mathrm{SE},\ 0\right)

Calculator

Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.

Worked example

Given

$S_{\text{est}}$ = 120,000 kWh
$k$ = 1.64 ratio
$\mathrm{SE}$ = 15,000 kWh

S_{\text{lower}} = \max\left(120{,}000 - 1.64 \times 15{,}000,\ 0\right) = 95{,}400

Symbols and units

Symbol	Meaning	Unit
$S_{\text{lower}}$	nonnegative lower savings claim	kWh
$S_{\text{est}}$	estimated savings	kWh
$k$	specified one-sided error multiplier	ratio
$\mathrm{SE}$	standard error on the same savings basis	kWh

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Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.