Theil's Method to Estimate Slope and Intercept (by hand)
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- Опубліковано 15 жов 2024
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Theil's 'incomplete' method is used in non-parametric statistics to fit an equation into a set of (x,y)-data points (non-parametric meaning a normal distribution in the data isn't assumed). Unlike the classic regression model, y_i=α+βx_i+ε_i … i=1,…,n, finding the slope and y-intercept aren't calculated using formulas (as in the case of least-squares regression). Instead, specific and repetitive steps must be made.
We'll discuss how to calculate α after we've found the slope!
Q. Below are the plasma testosterone (ng/ml) levels (Y)
and seminal citric acid (mg/ml) levels in a sample of 8 adult males. Compute the estimate of the population regression slope coefficient by Theil’s method. Subsequently, compute the estimator of the intercept coefficient.
Came here expecting a very esoteric presentation, but was pleasantly surprised by the very clear explanation. Nice job!
Thanks a ton! This helped me conceptualize the method much more than the books I was looking at, awesome work.
You guys make it so easy to learn! After reading countless pages, I watched this video and it all made sense. thank you!
A very good video. Thank you!
EXCELLENT lesson!!! CongratulationA
You can also find the total pairs by this formula: N(total pairs) = n(n-1) / 2, where n = total observations (8).
For example in this problem:
8(7) = 56
56 / 2 = 28 making N = 28.
This was amazing.
Thx man, that was a great job. I think if you use more visualization and less text, it'll improve your work
Hi Study Force,
Greetings from Puerto Rico. This video was really helpful. I don't know if I misunderstood, but I think that in minute 5:45 you misplaced the X and Y values. For example, 230 was a Y value but was placed alongside the slope coefficient, while 421 was a X value, but was placed in the dependent variable (Y)... Maybe I misunderstood, but anyways this video was very helpful... This was the best video on the topic that I found on UA-cam.
Hi José, thanks for pointing that out. The good news is that α being 24.6362 is correct, in the sense that it comes from x and y being placed in their respective place! Therefore, the process and numbers moving forward are all correct -- just demonstrated that instance wrong :(
@@StudyForceOnline This video was great! Thanks for sharing your knowledge on UA-cam. Keep it up!