Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
What is Degrees of Freedom : While comparing the calculated value of X2 with the table value we have to determine the degrees of freedom. By degrees of freedom we mean the number of classes to which the values can be assigned arbitrarily or at will without violating the restrictions or limitations placed. For example, if we are to choose nay five numbers whose total is 100? We can exercise our independent choice for any four numbers only. The fifth number is the total is the total being 100 as it must be equal to 100 minus the total of the four numbers selected. For example, if the four numbers are 20, 35, 15, 10, the fifth number must be [100 - (20 + 35 + 15 + 10] 20. Thus though we were to choose any five numbers we could choose any four only. Our choice was reduced by one because of one condition placed in the data. That of total being 100, thus there was only one restraint on our freedom - the degrees of freedom were only foot. If more restraint ions are placed our freedom to choose will be still curtailed. For example, if there are 10 classes and we want out frequencies to be distributed in such a manner that the number of cases. The mean and the standard deviation agree with original distribution, we have three constraints (restrictions) and so three degrees of freedom are lost. Hence in this case the degrees of freedom will be 10 - 3 = 7. Thus the number of degrees of freedom is obtained by subtracting form the number of classes the number of degrees of freedom lost in fitting. Symbolically, the degrees of freedom are denoted by the symbol (pronounced nu) or by D.F. and are obtained as follows:Where k refers to the number of independent constraints. We have a constraint or restriction whenever observed or theoretical frequencies are made to agree with one another in some respect in the operations that lead to the calculation of X2. Thus a constraint is imposed by the condition ∑fo = ∑fe. In general when we fit a binomial distribution, the number of degrees of freedom is one less than the number of classes; then we fit a poison distribution. The degrees of freedom are 2 less than the number of degrees of freedoms is one less than the number of classes: (∴ we use total frequency and arithmetic mean), and when we fit normal curve, the number of degrees of freedom is small by 3 than the number of classes (because in the fitting we use total frequency, mean and standard deviation).In a contingency table the degrees of freedom are calculated in a slightly different manner. The marginal total or frequencies place the limit on our choice of selecting cell frequencies. The cell frequencies of all columns but on e(c -1) and of all rows but one (r - 1) can be assign arbitrarily and so the number of degrees of freedom for all the cell frequencies = (c - 1) (r - 1) where c refers to column and r refers to rows. Thus in a2 X2 table the degrees of freedom = (2 - 1) (2 - 1) = 1. Having filed up one cell in such a table the rest of the frequencies automatically follow - there is no choice for them. Similarly in a3 x3contingency tale, the number of degrees of freedom is (3 - 1) 3 - 1) = 4, and so on. It means only 4 expected frequencies need be computed. The others are obtained by subtraction from normal totals.Points to noteThe following points about the X2 test are worth noting: The sum of the observed and expected frequencies is always zero, symbolically.∑ (0-E) = ∑ 0 - ∑ E = N - N = 0Needless to say that this provides an important check on the calculation in the computation of X2, The X2 test depends only on the set of observed and expected frequencies and no degrees of freedom. It is a non-parametric test, also known as distribution-free test, since no assumptions are made about the parameters of the populations.X2 distribution is a limiting approximation of the multinomial distribution. Though X2 distribution is essentially a continuous distribution the X2 test can be applies to discrete random variables whose frequencies can be counted and tabulated with or without grouping.
Expertsmind.com offers unique solutions for statistics assignments, homework
LINEAR POWER SUPPLY (JPG) The Goodwill GPC3030D power supply is an example of a linear power supply. Discoveries that were made in researching this power supply are things such
Show that for a single-output technology, Y is convex if and only if the production function f (z) is concave.
The Washington Corp stock has a β of 1.15 and it will pay a dividend of $2.50 next year. The expected rate of return of the market is 17% and the current riskless rate is 9%. The e
ion #Minimum 100 words accepted#
Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers
Which of the following does Utts consider a disaster in sampling?sk question #Minimum 100 words accepted#
Tchebyshev Distance (Maximum Travel Distance per Trip Using Rectilinear Distance): It can be calculated by using following formula: d(X, Pi) = max{|x - ai|, |y - bi|} = ma
compute three protected t tests to compare all possible pairs of means. Also, for α = .05, what is the value of LSD ? Which pairs are significantly different from one another,
I would just like the formula to find the y-axis of a centroid.
IFRS has a lot of advantages over the other accounting standards - Provides consistency Ensures better comparability across organizations across the globe Decreases the c
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd