Chi square distribution, Mathematics

Chi Square Distribution

Chi square was first utilized by Karl Pearson in 1900. It is denoted by the Greek letter χ2. This contains only one parameter, called the number of degrees of freedom (d-f), whereas term degree of freedom represents the number of independent random variables that express the chi square

Properties

1. Its critical values vary along with the degree of freedom. For every raise in the number of degrees of freedom there is a new χ2 distribution.

2. This possesses additional property then that when χ21 and χ22 are independent and have a chi square distribution along with n1 and n2 degrees of from χ21 + χ22 will be distributed also as a chi square distribution along with n1 + n2 degrees of freedom

3. Where the degrees of freedom are 3.0 and less the distribution of χ2 is skewed. However, for degrees of freedom greater than 30 in a distribution, the values of χ2 are generally distributed

4. The χ 2 function has simply one parameter, the number of degrees of freedom.

391_Chi Square distribution.png

5. χ2 distribution is a continuous probability distribution that has the value zero at its lower limit and extends to infinity in the positive direction. Negative value of χ2 is not possible since the differences between the expected and observed frequencies are usually squared.

Posted Date: 2/20/2013 6:46:46 AM | Location : United States







Related Discussions:- Chi square distribution, Assignment Help, Ask Question on Chi square distribution, Get Answer, Expert's Help, Chi square distribution Discussions

Write discussion on Chi square distribution
Your posts are moderated
Related Questions
The temperature in Hillsville was 20° Celsius. What is the equivalent of this temperature in degrees Fahrenheit? This problem translates to the expression 3 {[2 - (-7 + 6)] + 4

what is the nearest ten thousand of 92,892?

Logarithmic Differentiation : There is one final topic to discuss in this section. Taking derivatives of some complicated functions can be simplified by using logarithms.  It i

rajan bought an armchair for rs.2200 and sold it for rs.2420.find his profit per cent.

Question 1 Explain Peano's Axioms with suitable example Question 2 Let A = B = C= R, and let f: A→ B, g: B→ C be defined by f(a) = a+1 and g(b) = b 2 +1. Find a) (f °g

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Here are four problems. Four children solved one problem each, as given below. Identify the strategies the children have used while solving them. a) 8 + 6 = 8 + 2 + 4 = 14 b)

1. Find the third and fourth derivatives of the function Y=5x 7 +3x-6-17x -3 2. Find the Tangent to the curve Y= 5x 3 +2x-1 At the point where x = 2.

Equations of Lines In this part we need to take a view at the equation of a line in R 3 .  As we saw in the earlier section the equation y = mx+b does not explain a line in R

Arc Length - Applications of integrals In this part we are going to look at determining the arc length of a function.  As it's sufficiently easy to derive the formulas that we'