What Statistical Test Determines Concentricity in Spherical Geophysics Data?

  • Thread starter Thread starter arlosaur
  • Start date Start date
  • Tags Tags
    Test
arlosaur
Messages
1
Reaction score
0
I am doing a geophysics project where I am analyzing a number of lineations on a globe / sphere. That is, I have a data set with many (70 - 180) sets of data points that are grouped together in lineations. I am trying to determine if the lineations are best described by concentric circles about a specific pole. To do this for every longitude/latitude value on the sphere I rotate the entire data set so that the chosen axis of rotation is now the z-axis. I then fit a z-plane through each lineation, which amounts to averaging the z values for each lineation after rotation. I also calculate the sum of the squares of the residuals (z_i - <z>)^2 for each lineation. I then calculate the 'best fit' pole by choosing the pole which minimizes the sum of the squares of the residuals of each lineation with their respective best-fit plane.

Now I wish to come up with a hypothesis test or a goodness-of-fit test to determine if the lineations are best described by concentric circles about this pole (as opposed to two or three poles or something else altogether).

Any ideas? Thanks.
 
Physics news on Phys.org
Goodness of fit applies to the graduation of a probability distribution only.
 

Thread 'Here's a Statistics problem for game of Polo (or Hockey if you like)'

Namaste & G'day Postulate: A strongly-knit team wins on average over a less knit one Fundamentals: - Two teams face off with 4 players each - A polo team consists of players that each have assigned to them a measure of their ability (called a "Handicap" - 10 is highest, -2 lowest) I attempted to measure close-knitness of a team in terms of standard deviation (SD) of handicaps of the players. Failure: It turns out that, more often than, a team with a higher SD wins. In my language, that...
View full post »

Thread 'Roulette wheel physics and probability'

Hi all, I've been a roulette player for more than 10 years (although I took time off here and there) and it's only now that I'm trying to understand the physics of the game. Basically my strategy in roulette is to divide the wheel roughly into two halves (let's call them A and B). My theory is that in roulette there will invariably be variance. In other words, if A comes up 5 times in a row, B will be due to come up soon. However I have been proven wrong many times, and I have seen some...
View full post »

Similar threads

A Defining a Symmetry Statistic to test for Normality?
Replies
4
Views
2K
I Which method should I use for a linear fit of data with error on both z and y?
Replies
8
Views
1K
I How Should You Approach Fitting Multiple Gaussians to Data with Poisson Errors?
Replies
28
Views
3K
I How do I determine if improving a fit is significant?
Replies
13
Views
2K
I Right way to account for non-statistical uncertainties
Replies
16
Views
2K
B Chi-squared test stat choosing a critical value
Replies
5
Views
3K
A The Blessings of Dimensionality and Hilbert's 6th Problem
Replies
4
Views
2K
MHB What independence test should I use for this group of data? <-----------
Replies
1
Views
2K
Determining appropriate range from test data
Replies
1
Views
3K
Testing regression model with F-test
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top