Recent content by liquidFuzz
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Undergrad Measurement for uncertainty in nonlinear model
I think i understand the subject well enough to implement it in code (which I usually do when I thinker). One question though. To calculate the variance of the function value I take the Jacobian J of the function and the Covariance matrix C of the curve fit and multiply as such v = J C J T...- liquidFuzz
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Measurement for uncertainty in nonlinear model
Hm. i might have been vague in my post, sry... We could use the growth model example, but I fear it might be to complicated, for me... I have four detector signals Sxx where my output = (Saa - Sab)(Sba - Sbb). The detector is the same so all signals have the same uncertainty. If understand this...- liquidFuzz
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Measurement for uncertainty in nonlinear model
I would like to find a measurement for uncertainty in a calculation I have. So, the uncertainties I have, or at least as far as I understand. uncertainty of sampled data that is used to optimized parameters of the model. uncertainty in the curve fit procedure Is there some fairly...- liquidFuzz
- Thread
- Calculation Measurement Uncertainty
- Replies: 4
- Forum: Set Theory, Logic, Probability, Statistics
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High School Deriving an asymmetric logistic growth model
Hi thanks for chipping in! I have a fully functional implementation of the model i wrote, its commonly known as the 5PL model. I was curious to know more about its origin.- liquidFuzz
- Post #3
- Forum: Differential Equations
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High School Deriving an asymmetric logistic growth model
Hi, I'm wondering how the asymmetric logistic growth model is derived. My main interest is this version that I've implemented in python. $$ growth(t) = d + \frac{a - d}{(1 + (x/c)^b)^g} $$ In particular, how is the asymmetry variable introduced? Best, Fuzz- liquidFuzz
- Thread
- Asymmetry
- Replies: 3
- Forum: Differential Equations
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Graduate How to set up and interpret Chi^2 test results for my data?
Thanks! I'll play around with merged bins and see if I get something useful out of it. I was hoping for a clear yes or no... 🤪- liquidFuzz
- Post #10
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate How to set up and interpret Chi^2 test results for my data?
A question regarding zero entries in expected values. Lets say I want to test whether a set of data could be considered normal distributed. How do I treat bins where the expected value is close to zero. Fewer bins or just upright rejecting the hypothesis..? Edit, additional, if I instead tests...- liquidFuzz
- Post #8
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate How to set up and interpret Chi^2 test results for my data?
What are my observed values yi and expected value ei if you calculated a model with a least square method?- liquidFuzz
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate How to set up and interpret Chi^2 test results for my data?
I have a curve fit of a nonlinear function (a growth model). As a sanity check I do a chi2 test, but I'm not really sure how to set it up properly. My data is as such: sample point and estimated points. In a chi2 test the variables are often referred to as observations and expected. What would...- liquidFuzz
- Thread
- Chi square
- Replies: 11
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad How to Set Up Equations for a Shape with a String Constraint Around a Rectangle?
True! I have transferred the shape into a CAD program and I had to calculate (approximated) Bézier splines to keep the nodes at a reasonable level. I think I ended up with 12 nodes or so to get a smooth contour that was fairly similar to the shape I was going for. The continuation of this is...- liquidFuzz
- Post #21
- Forum: General Math
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Undergrad How to Set Up Equations for a Shape with a String Constraint Around a Rectangle?
I tried your excel-file and it crashes as soon as I edit length, width, and string length. :-/ My don't crash so I stick with the analytical solution for now. I think I'll just go with brute force for the corners, when I have some spare time.- liquidFuzz
- Post #19
- Forum: General Math
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Undergrad How to Set Up Equations for a Shape with a String Constraint Around a Rectangle?
How big is e, in your approximation? Cool! I also hold a masters degree in physics. :-)- liquidFuzz
- Post #17
- Forum: General Math
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Undergrad How to Set Up Equations for a Shape with a String Constraint Around a Rectangle?
BVU, I have read all your posts. Stating "I'm not sure I follow you" was me trying to be polite about the fact that your approximation is not so good. :angel: The shape is ellipsoid in appearance but it is not an ellipsoid. So, as stated before. I have an analytical expression for the sides...- liquidFuzz
- Post #14
- Forum: General Math
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Undergrad How to Set Up Equations for a Shape with a String Constraint Around a Rectangle?
I'm not sure I follow your calculations BVU. Is it what I'm looking for..? I attached the excel I tried the calculations in. There you can see the segments I still haven't got, the corners. Oh, I should mention that I used Libreoffice for this tinkering. Edit, these spread sheets are a bit...- liquidFuzz
- Post #11
- Forum: General Math