# DPPM sample size calculator

Given a certain number of known failures and your sample size, the DPPM calculator can give you the estimated defective parts per million (DPPM) with a certain degree of confidence. Typical value for confidence level is 60 percent.

< the calculator is appended here >

### Purpose

For a specified Chi-square confidence level, observed or assumed number of fails and Sample size, the calculator provides failure fraction expressed in terms of 'defective parts per million'.

### Equation

\begin{aligned} \mathbf{DPPM} = 10^6 * \frac{ \mathbf{CHISQ.INV} ( {\mathbf{CL}, 2* \mathbf{fails} + 2}) }{2 * SS} \\ \end{aligned}

DPPM - Defective Parts per million

CL - Confidence Level represented as a decimal

SS - Sample size

Fails - Number of failures in your sample size

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