Statistics #

This section explores topics in statistics.

Measurement Data

Handling Measurement Data # This section discusses how to estimate mean values and uncertainties after conducting repeated experiments or measurements. Rounding Error 1. Number of Operations and Total Rounding Error # $$ \begin{align} X’ &= X \pm d \\ d &= \varepsilon \sqrt{N} \end{align} $$ Machine precision $\varepsilon$ Number of operations $N$ True value $X$ Computed result $X'$ Uncertainty in calculation $d$ 2. Explanation # Consider performing repeated operations on a computer.