Newcastle University

Least Squares Adjustment for Offshore Survey

[ Book online ]

This intermediate/advanced course is offered in association with Fugro. It provides geomatics professionals with an opportunity to strengthen their Least Squares and Statistical Analysis skills.

Topics covered include:

• Error analysis and concepts of least squares
• Efficient data handling using matrices
• Review of fundamental concepts including:
  • differentiation and linearisation
  • the least squares process from ground up
  • statistical testing

Course Outline

• Day 1
  • Introduction
  • Why Least Squares? + Survey Error
  • Review of Matrices
  • Matrix Manipulation in Excel
  • Review of Differentiation
  • Linearisation and Error Propagation
  • The Functional model
  • Linearisation Exercise
  • The Stochastic Model
• Day 2
  • The Least Squares Principle
  • Least Squares by Observation Equations
  • Deriving Observation Equations
  • Exercise: Observation Equation Derivation
  • The Approach to Least Squares and Flowchart
  • A Simple Practical Example of Least Squares
  • Box-In Example: Least Squares Estimation
• Day 3
  • Simple Statistical Theory
  • Statistical Testing
  • Box-In Example: Outlier Detection
  • Post Least Squares Analysis
  • Box-In Example: Post Least Squares Analysis
  • Box-In Tutorial

Who is the course aimed at?

The course will have particular value for those working in the fields of offshore and land surveying, together with other high precision positioning applications such as GNSS. Software programmers in related fields will also find the course of benefit.

Presenters

School of Civil Engineering and Geosciences

• Dr Stuart Edwards (Course Leader)
• Prof Phil Moore

[ Book online ]

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