Calculation of degrees of freedom, Applied Statistics

Calculation of Degrees of Freedom

First we look at how to calculate the number of DOF for the numerator. In the numerator since we calculate the variance from the sample means, the number of samples matter. The degrees of freedom for the numerator is given by a general rule shown below:

         (k - 1)

where k stands for the number of samples.

 

DOF for Denominator

 

For the calculation of the number of DOF in the denominator, the number of elements within each sample play an important role. In each of the samples, we lose the discretion for specifying the last element. A general rule to find the number of DOF for the denominator is given by

1286_DOF for denominator.png

where,      

         nj       denotes the number of elements in each of the sample and

         S       symbol indicating that we ought to take the sum of number of DOF of each sample.

Posted Date: 9/15/2012 6:20:38 AM | Location : United States







Related Discussions:- Calculation of degrees of freedom, Assignment Help, Ask Question on Calculation of degrees of freedom, Get Answer, Expert's Help, Calculation of degrees of freedom Discussions

Write discussion on Calculation of degrees of freedom
Your posts are moderated
Related Questions
Consider the following linear regression model:      a) What does y and x 1 , x 2 , . . . . x k represent?      b) What does β o , β 1 , β 2 , . . . . β k represent?

Different analyses of recurrent events data: The bladder cancer data listed in Wei, Lin, and Weissfeld (1989) is used in Example 54.8/49.8 of SAS to  illustrate different anal

i am new to stata and i am trying to figure out how to calculate expected growth of sales tax revenue as well as average growth rate of sales tax revenue in stata. I have a dataset

Q. Find the inverse Laplace transform of Y (s) = s-4/s 2 + 4s + 13 +3s+5/s 2 - 2s -3. Q. Use the Laplace transform to solve the initial value problem y''+ y = cos(3t), y(0) =

Regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

What is an interaction? Describe an example and identify the variables within your population (work, social, academic, etc.) for which you might expect interactions?

Celia is a nurse in a geriatric ward.  She noticed that older persons in her care are having problems sleeping at night.  She decided to introduce non-pharmocologic ways of relaxat

Evaluate Gross Reproduction Rate: From the data given below compute : i)   General  Fertility  Rate ii)  Specific  Fertility  Rate iii)  Total  Fertility  Rate iv)

A salesperson visits from house to house to sell her knives. The probability that she makes a sale at a random house is .3. Given that she makes a sale, the sale is worth $100 with

Suppose the money supply process is now represented by the following function: where m measures the sensitivity of money supply with respect to the interest rate. (i) Us