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--- On Thu, 5/7/09, Madan Kundu <madan4331@...> wrote:
From: Madan Kundu <madan4331@...> Subject: Re: [Statisticians_group] (unknown) To: Statisticians_group@... Date: Thursday, May 7, 2009, 12:53 AM
Let me try!
Suppose you have 4 variables, say, x1, x2, x3, x4. Now you know their sum i.e. x1+x2+x3+x4= n, where n is some known number.
Now here you can vary the value of only 3 variables, becasue the value of 4th variable will be calculated by substracting the sum of the 3 other variables from n. Since here you can vary only 3 variables at your will, degrees of freedom will be 3, not the 4.
for example, if x1+x2+x3+x4= 120, and the value of x4 must be 120-x1-x2-x3. See here you can only vary the value of x1, x2 and x3. It won't allow you to vary the value of x4 as it will be calculated from 120-x1-x2-x3.
In general, we can say that degress of freedom will be equal to no. of the variables minus the no. of constraints.
In the above example, we had 4 variables and one constraint that is there sum will be 120. So in this case degrees of freedom will be 4-1=3.
--- On Wed, 6/5/09, Hasan ALi <street192005@ yahoo.com> wrote:
From: Hasan ALi <street192005@ yahoo.com> Subject: [Statisticians_ group] (unknown) To: Statisticians_ group@yahoogroup s.co.in Date: Wednesday, 6 May, 2009, 12:13 PM
i had read out almost all the books of statistics but i am still dont clear about degrees of freedom.is there any body who can answer so simply that could be digestable
regards
mr. kandu thanx for ur answer, i already know about the theory that u mentioned but the aim of my question is ask about what are the benefits while knowing the sum of all variables and to exclude on of them. what is the significance of removing the variable.if we remove the variable so is there any specific variable that we can remove or just to subtract from the total.
regards
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