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      • L1: Error Analysis and Statistical Spread of Data
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Error Analysis and Statistical Spread of Data

Errors & Uncertainty Bounds 
  • There are two types of Error
    • Systematic Error
      • Occurs as a result as a flaw in the experiment design or apparatus
      • Cause the measured values to be consistently higher or lower than the actual value
      • They cannot be reduced by conducting repeated trails
      • Examples
        • Reading from the top of the meniscus when measuring volume
        • Forgetting to zero a mass balance
    • Random Error
      • Caused by unpredictable changes in the experiment. There is an equal probability of the measured value being too high or too low
      • Example
        • Changes in the environment during the experiment
      • Can be reduced by conducting repeated trails & by using a more precise apparatus
  • When we talk about error we always consider Accuracy which is how close the measured values is from the actual value is made of two components
    • Bias
      • A measure of how far the expected value of the estimate is from the true value of the parameter
    • Precision
      • The smallest quantity that can be measured
  • Random Fluctuations are governed by some statistics, MOST physical phenomena follow a Gaussian or Normal Distribution.
Picture
Picture
Error/Uncertainty Propagation
Say we have a value that is dependent on multiple variable which each have their own uncertainties associated with their values. How can we find the uncertainty of this dependent variable
Picture

  • Home
  • Rocketry Projects
    • RCS Thruster
    • Custom Solenoid Valve
    • Horizontal Test Stand
    • Project Quasar
    • COPV Burst Stand
    • Custom Flight Computer MkII
    • Experimental Air Braking
    • Solid Rocket Flight Computer
    • Syncope
  • Personal Projects
    • Persistence of View Globe
    • Hexapod
    • RTOS Race Car
    • OpenBevo
  • Makerstudio Trainings
    • Autodesk Eagle
  • Tutorials
    • NFPA70: NEC Standards
    • Github
    • Electronics Fundamentals >
      • Electricity from an Atomic Perspective
      • Resistor Circuit Analysis
    • Custom Rocket Engines >
      • Injector Orifice Sizing
      • How Rocket Engines Work
      • Choosing Your Propellant
      • Dimensioning Your Rocket
    • DIY Hybrid Rocket Engine >
      • L1: The Basics
    • Semiconductors >
      • L1: Charge Carriers and Doping
      • L2: Diodes
    • Rocket Propulsion >
      • L1: Introduction
      • L2: Motion in Space
      • L3: Orbital Requirements
      • L4: The Rocket Equation
      • L5: Propulsion Efficiency
    • Government 1 >
      • L1: The Spirit of American Politics
      • L2: The Ideas That Shape America
      • L3: The Constitution
    • Government 2 >
      • C1: The International System
      • C2: US Foregin Policy Apparatus and National Interest
      • C3: Grand Strategy I
      • C4: Grand Strategy II
      • C5: The President and Foreign policy
      • C6: Congress in Foreign Policy
    • Control Feedback Mechanisms >
      • L1: Intro to Control Systems
      • L2: Mathematical Modeling of Control Systems
      • C3: Modeling Mechanical and Electrical Systems
    • Electromechanical Systems >
      • L1: Error Analysis and Statistical Spread of Data
    • Rocket Avionics Sourcing