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.

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

Ask an Expert

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

Write your message here..

Related Questions

Daily revenue for next 30 days, Owner of a computer repair shop has daily r... Owner of a computer repair shop has daily revenue with mean $7200 and SD $1200 Daily revenue for next 30 days will be monitored. What is probability that daily revenue for those 30

Determine the line parallel or perpendicular, Determine if the line that pa... Determine if the line that passes through the points ( -2, -10) and (6, -1) is parallel, perpendicular or neither to the line specified  by 7 y - 9 x = 15 . Solution Togive

Product Management, Have 20 questions Have 20 questions

Determine the area of the shaded region, The diagram below shows the cross ... The diagram below shows the cross section of a pipe  1/2  inch thick that has an inside diameter of 3 inches. Determine the area of the shaded region in terms of π. a. 8.75π i

Multiplication, ?x7=54 ?x7=54

Write a congruence statement for pair and state reason, 2.5 in\ \/ 2.5 in\ \/

Shares and dividend, want to make an assignment on shares and dividend for ... want to make an assignment on shares and dividend for class 10

Algebra, sir i want to ask u a question and that is if we simplify this wha... sir i want to ask u a question and that is if we simplify this what will be the answer.(9x-45z+6y-100z+5x)

Mensuration, find the diameter of circle whose circumference is 26.51 find the diameter of circle whose circumference is 26.51

Evaluate the infinite limits of given limits, Evaluate following limits. ... Evaluate following limits. Solution Therefore we will taking a look at a couple of one-sided limits in addition to the normal limit here. In all three cases notice