User talk:Yilincau

Edits to Least Squares
I think that "residue" or "bias" could fit in that sentence, but that "bias" also has other meanings, so I think "residue" would be less confusing in that sentence. What do you think? Welcome to Wikipedia. (If I knew how to use those welcome macros, I'd do this welcome more formally.) Leegrc (talk) 12:31, 6 October 2014 (UTC)


 * I think the two words have different meanings. "Residuals" are x-x*,and x*is the "sample mean".But in "Least squares" we just use a "bias"(difference between an estimator's expectations and the true value), and we don't need to calculate the Mean. This is my understanding.Thank you！ Yilincau (talk) 14:31, 6 October 2014 (UTC)


 * To me, a residue is the difference between a number and its predicted value. On the other hand, (non-zero) bias is the situation in which the expected value of the residue is non-zero.  So I'd say that least-squares minimizes the sum of the squares of the residues.  Equivalently I would say that it is an ubiased estimator.  But "squared bias" doesn't quite work for me.  Does that make sense?  Leegrc (talk) 21:44, 6 October 2014 (UTC)


 * Maybe I have understood your meaning. I think we have different understanding of the two words "bias" and "residuals". Actually,I found the mistake, when I read the page "Least squares" in Chinese and linked its English page. And when I read "residuals",I check it. In this page:http://en.wikipedia.org/wiki/Errors_and_residuals_in_statistics

it says,

''A residual (or fitting error), on the other hand, is an observable estimate of the unobservable statistical error. Consider the previous example with men's heights and suppose we have a random sample of n people. The sample mean could serve as a good estimator of the population mean. Then we have: The difference between the height of each man in the sample and the unobservable population mean is a statistical error, whereas The difference between the height of each man in the sample and the observable sample mean is a residual.''


 * So i think,"residuals" is not strict. Because,in Chinese,"residuals" means "残差".And "残差" just means the difference between a number and the mean value. The same meaning as above explaining by Wikipedia.And when we talk about "Least Squares", we use "偏差".So I find "偏差" in Chinese Wikipedia and linked to its English page. Then I see the "bias".
 * Maybe I have not the right understanding of "bias", if "residuals" is better then "bias" in English, I made the wrong edit, I am very sorry. And you can edit it again. Very thanks for your explaining.Yilincau (talk) 01:30, 7 October 2014 (UTC)