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UNCERTAINTY IN
GEOSPATIAL DATA
By : Ehsan Hamzei (810392121)
GOAL
• We want to Learn about Uncertainty Factor in Raster Model.
• All of them derived from “Confusion Matrix” (or Ambiguity Matrix).
CONFUSION MATRIX
OMISSION - COMMISSION
• Error of omission ( Producer’ s acc.) :
• proportion of values in reality, which were interpreted as something else: Sum of
column’s non-diagonal elements / column total (For Corn 8/20)
• Error of commission (User’s acc.) :
• proportion of values which were in reality found to belong to another class: Sum of row’s
non-diagonal elements / row total (For Corn 6/18)
TOTAL ACCURACY
• Also called: Correct Classification Rate!
• Formulas: TA = (a + d)/N
• Where N = a + b + c + d
LIMITATION OF TOTAL ACCURACY
• Consider a 2-class problem
• Number of Class 0 examples = 9990
• Number of Class 1 examples = 10
• If model predicts everything to be class 0, accuracy is 9990/10000 = 99.9 %
• Accuracy is misleading because model does not detect any class 1 example
COHEN’ KAPPA
• Formulas: [(a + d)- (((a + c)(a + b) + (b + d)*(c + d))/N)]/[N - (((a + c)(a + b) + (b + d)(c
+ d))/N]
OTHER FACTORS
OTHER FACTORS
THANKS…

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Uncertainty in Geospatial Data

  • 1. UNCERTAINTY IN GEOSPATIAL DATA By : Ehsan Hamzei (810392121)
  • 2. GOAL • We want to Learn about Uncertainty Factor in Raster Model. • All of them derived from “Confusion Matrix” (or Ambiguity Matrix).
  • 4. OMISSION - COMMISSION • Error of omission ( Producer’ s acc.) : • proportion of values in reality, which were interpreted as something else: Sum of column’s non-diagonal elements / column total (For Corn 8/20) • Error of commission (User’s acc.) : • proportion of values which were in reality found to belong to another class: Sum of row’s non-diagonal elements / row total (For Corn 6/18)
  • 5. TOTAL ACCURACY • Also called: Correct Classification Rate! • Formulas: TA = (a + d)/N • Where N = a + b + c + d
  • 6. LIMITATION OF TOTAL ACCURACY • Consider a 2-class problem • Number of Class 0 examples = 9990 • Number of Class 1 examples = 10 • If model predicts everything to be class 0, accuracy is 9990/10000 = 99.9 % • Accuracy is misleading because model does not detect any class 1 example
  • 7. COHEN’ KAPPA • Formulas: [(a + d)- (((a + c)(a + b) + (b + d)*(c + d))/N)]/[N - (((a + c)(a + b) + (b + d)(c + d))/N]