tag:blogger.com,1999:blog-2433841880619171855.post2577817938267034098..comments2022-12-09T14:26:07.192+00:00Comments on Pat'sBlog: Standard Deviation as DistanceUnknownnoreply@blogger.comBlogger4125tag:blogger.com,1999:blog-2433841880619171855.post-84788664250746207532014-04-08T04:31:38.980+01:002014-04-08T04:31:38.980+01:00Thats absolutely fantastic!!! This article is real...Thats absolutely fantastic!!! This article is really helpful to understand standard deviation.. I just want one help.. I am not able to understand that ... Sir, In your blog you have mentioned that to compensate we would divide the result by square root of the dimension.. What does this signify... I am eagerly waiting for your response.. Once again thanks a lot...... Mihir Manohar, India.Anonymoushttps://www.blogger.com/profile/09378812216305244430noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-47501085116606417702010-09-27T20:14:52.825+01:002010-09-27T20:14:52.825+01:00Chudi,
Thanks for the kind words, now about your ...Chudi,<br /> Thanks for the kind words, now about your question... if we measure the distance from 0 to one on the x-axis we call that a length of one..<br />If we go one unit out in two directions (say to the point one,one), the distance is sqrt(2) from the origin... as we increase the dimension with each one increment from the origin, the distance grows (1,1,1) is sqrt(3) from the origin... but the "average" distance is still one in each dimension... so if we want to know the "average distance" of (3,5,4) from the origin, we take the distance (sqrt*3^2_+5^2+4^2) and divide by sqrt(3) since it is in the third dimension... or sqrt(50/3) is the average.. or "standard" deviation from zero.. If we want the standard deviation from the mean value (rms) we do the same thing with the distances (3-4, 5-4, 4-4) and get sqrt(2/3) for the population... there is a minor adjustment if we expect this is a sample from a population...we replace n (in this case three) with n-1 (or two) :Hope one or both of those agree with your calculations..Pat's Bloghttps://www.blogger.com/profile/15234744401613958081noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-37951428451379084052010-09-27T19:32:47.051+01:002010-09-27T19:32:47.051+01:00Hi Pat. I'm just relearning statistics and the...Hi Pat. I'm just relearning statistics and the standard deviation "smelled" terribly as a pythagorean distance from something to something that i could not define and my teacher would not give a moment of thought. Thanks for explain it so clearly. Now, after the show of affection, I would require for you to formalize a bit more 'this distance is that it grows with dimension, "sort of"'. If it's not too much trouble. Or at least point me into further reading. Thanks.Unknownhttps://www.blogger.com/profile/04435305658406244025noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-15935018041902139612010-09-27T19:31:05.686+01:002010-09-27T19:31:05.686+01:00This comment has been removed by the author.Unknownhttps://www.blogger.com/profile/04435305658406244025noreply@blogger.com