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parazit

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- What is the most conviniant statistical model or method that I should use to determine the most consistent model with the measurements?

Hi all.

Let's assume I have a situation as following. I have a set of x values containing 10 data points. I also got the corresponding measurement values for that each x data points, as y values, and the error on them. Then, I perform calculations, with let's say 5 different models, in where I use the x values to obtain the y values.

In the end, I have x values, measured y values, and their errors, and five different sets of y values. You may see the attached file as an example.

My question is this: What is the most conviniant statistical model or method that I should use to determine the most consistent model with the measurements? Should I use chi-square, reduced chi-square, mean squared error, root mean square error, mean weighted deviation, the relative variance, Kolmogorov-Smirnov or something else?

You may wonder the distribution of the y values like are they linear, polynomial or etc. Let's assume they do not have a certain distribution or their distribution varies for different situation. My main interest in here is to point a statistical method for such cases.

Thank you so much for your time in advance.

Let's assume I have a situation as following. I have a set of x values containing 10 data points. I also got the corresponding measurement values for that each x data points, as y values, and the error on them. Then, I perform calculations, with let's say 5 different models, in where I use the x values to obtain the y values.

In the end, I have x values, measured y values, and their errors, and five different sets of y values. You may see the attached file as an example.

My question is this: What is the most conviniant statistical model or method that I should use to determine the most consistent model with the measurements? Should I use chi-square, reduced chi-square, mean squared error, root mean square error, mean weighted deviation, the relative variance, Kolmogorov-Smirnov or something else?

You may wonder the distribution of the y values like are they linear, polynomial or etc. Let's assume they do not have a certain distribution or their distribution varies for different situation. My main interest in here is to point a statistical method for such cases.

Thank you so much for your time in advance.

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