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error analysis tutorial

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Error Analysis Tutorial Welcome to the Error Analysis Tutorial. This tutorial will help you master the error analysis in the first-year, college physics laboratory. Error analysis may seem tedious; however, without proper error analysis, no valid scientific conclusions can be drawn. In fact, as the picture below illustrates, bad things can happen if error analysis is ignored. Since there is no way to avoid error analysis, it is best to learn how to do it right. After going through this tutorial not only will you know how to do it right, you might even find error analysis easy! The tutorial is organized in five chapters. Contents Basic Ideas How to Estimate Errors How to Report Errors Doing Calculations with Errors Random vs. Systematic Errors Chapter 1 introduces error in the scientific sense of the word and motivates error analysis. Chapter 2 explains how to estimate errors when taking measurements. Chapter 3 discusses significant digits and relative error. Chapter 4 deals with error propagation in calculations. Chapter 5 explains the difference between two types of error. 1. Basic Ideas This chapter introduces error analysis at the intuitive level. It is o rganized in three sections: 1.1. Errors as Uncertainties 1.2. Why Should We Care About Errors? 1.3. Dominant Error 1.1. Errors as Uncertainties Before we go into details of error analysis it is important to understand the meaning of error in science. Error in a scientific measurement usually does not mean a mistake or blunder. Instead, the terms "error" and "uncertainty" both refer to unavoidable imprecision in measurements.

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