Recent content by MathewsMD

Thank you for all the advice! Yes, NSERC does have a few grants I would certainly be applying to if I stay in Canada. Maybe the process is different since I've been looking at mainly professional schools in the past, but with regards to LoRs, don't the referees typically send it themselves? An...

Thank you for the response! I guess my uncertainty in a particular field stems from my interests in so many different topics (namely space exploration and cosmology) and I'm also very interested in pursuing veterinary school afterwards, too, so graduate school may not be a means to any specific...

Thank you for clearing that up! Just to reiterate: these stipends cover tuition fees, provide some basic living funds, and are generally provided through TA and RA positions, right? You're saying these positions are then essentially guaranteed for all accepted grad students? Do schools in the...

I've been looking over some past threads on PF with regards to graduate school and funding and it's made me reconsider applying internationally. To give some background: I'm a Canadian entering third year (of a 4-year BSc program) this fall and am studying Physics. I plan on pursuing grad school...

In this case I was referencing Pearson's chi-square test, but I agree it is not a great method for my data. I was really just looking for a well-established formula that takes into consideration very low expected values (i.e. ~0) and also the number of parameters used in the fitting function.

Yes, I just added a constant to use as a baseline after making this post, and this was once again found through curve fitting (therefore it does not approach 0 far from the mean, although this isn't strictly a Gaussian). When I did this, the chi-square came back down to relatively reasonable...

Yes, you're right, that's not a normal curve. Poor choice of words from me. I did get the mean and standard deviation of the data set, and I could plot a Gaussian using these parameters, but this function appears to have a higher chi-square value than the one produced from the curve fitting...

The normal curve was generated using curve_fit on Python to find the optimal parameters a, b, and c on a function: ## f = ae^{- \frac{x-b}{2c^2}} ## so it's interesting you bring that up because I do agree that it seems a bit narrow, but I have not interfered with the computation of its...

Thank you for the response! I've attached a figure that shows the histogram (it has 100 data points), and the function, f, that I am using to model the histogram's data. The 3 errors are associated to the amplitude, mean, and sigma, respectively, for f. Yes, that seems to be the case. That's...

Hi, I am currently working with a histogram (with 25 bins) that looks Gaussian and am trying to fit a function to it and compute its goodness of fit. The function I am using to fit to the histogram is a Gaussian (it looks like a good fit from visual inspection) and I am treating this as my...

And it turns out my code is correct, I just messed up my integral! Sweet! Thank you for catching my mistake!

You're right. Let me check that out. Complete oversight by me haha. Thank you!

Here is the WolframAlpha calculation in cartesian coordinates that should correspond to my polar coordinate integration in Python.

I have a 2D Gaussian: ## f(x,y) = e^{-[(x-x_o)^2 + (y-y_o)^2]/(2*{sigma}^2)}## which I converted into polar coordinates and got: ## g(r,θ) = e^{-[r^2 + r_o^2 - 2*r*r_o(cos(θ)cos(θ_o) + sin(θ)sin(θ_o))]/({2*{sigma}^2})} ## The proof for how this was done is in the attached file, and it would...

I have a 2D Gaussian: ## f(x,y) = e^{-[(x-x_o)^2 + (y-y_o)^2]/(2*{sigma}^2)}## which I converted into polar coordinates and got: ## g(r,θ) = e^{-[r^2 + r_o^2 - 2*r*r_o(cos(θ)cos(θ_o) + sin(θ)sin(θ_o))]/({2*{sigma}^2})} ## The proof for how this was done is in the attached file, and it would...