HW1Sol - STA 6934 Spatial Statistics HW 1 HW 1 Problem No 1...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: STA 6934 - Spatial Statistics: HW 1 HW 1 - Problem No. 1 a) Both the contour and perspective plots show a trend toward higher values in the northeast, or upper right, of LA. Thee are some lower ”peaks” towards the southeast. b) Your eye estimates should be similar with your answer in c). c) We choose spherical model because it relates more points than the exponential one. The still is (0.0253+0.1546=0.1799), range is 121.5, nugget is 0.0253 from R output. (see ozone.pdf) HW 1 - Problem No. 2 The Still = Co + (Cr*Ar) The Nugget = Co regardless of Cr or Ar The Range = Ar/2 (see Routput-hw1.2.pdf) 1 HW 1 - Problem No. 3 Cov ( Z ( S i , Z ( S j )) = C ( S i- Sj ) V ar ( Z ) = V ar ( N X i =1 Z ( S i ) /N ) = 1 /N 2 [ N X i =1 V ar ( Z ( S i )) + X i 6 = j Cov ( Z ( S i , Z ( S j ))] = 1 /N 2 [ N X i =1 C (0) + X i 6 = j C (0) ρ ( S i- Sj )] = C (0)(1 /N + 1 /N 2 X i 6 = j ρ ( S i- Sj )) If the data are independent, V ar ( Z ) = 1 /N 2 ∑ N i =1 V ar ( Z ( S i )) = 1 /NC (0) Since for spatial data, observations closer together tend to be more alike than observations farther apart,...
View Full Document

Page1 / 6

HW1Sol - STA 6934 Spatial Statistics HW 1 HW 1 Problem No 1...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online