Behrens fisher problem, Advanced Statistics

Assignment Help:

Behrens Fisher problem: The difficulty of testing for the equality of the means of the two normal distributions which do not have the equal variance. Various test statistics have been planned, even though none of them are completely satisfactory. The one which is most commonly used can be given as


1648_behrens fisher problem.png 

where x1; x2; s21; s2 2; n1 and n2 are the variances, means and sizes of samples of observations from each population. Under the hypothesis or the assumption that the population means are equal, t has a Student's t-distribution with v degrees of freedom where




1571_behrens fisher problem1.png 

and


2322_behrens fisher problem2.png 


Related Discussions:- Behrens fisher problem

Goodmanand kruskal measures of association, Goodmanand kruskal measures of ...

Goodmanand kruskal measures of association is the measures of associations which are useful in the situation where two categorical variables cannot be supposed to be derived from

Chi-squared distribution, Chi-squared distribution : It is the probability ...

Chi-squared distribution : It is the probability distribution, f (x), of the random variable de?ned as the sum of squares of the number (v) of independent standard normal variables

Pascal''s triangle, Pascal's triangle  is an arrangement of numbers describ...

Pascal's triangle  is an arrangement of numbers described by Pascal in his Traité du Triangle Arithmétique published in the year 1665 as 'The number in each cell is equal to in the

Accelerated life testing, Normal 0 false false false EN...

Normal 0 false false false EN-US X-NONE X-NONE

Raking adjustments, Raking adjustments  is an alternative to the post strat...

Raking adjustments  is an alternative to the post stratification adjustments in the complex surveys which ensures that the adjusted weights of the respondents conform to each of th

Hypothesis testing and chi-square tests.., The results of a survey determin...

The results of a survey determined whether the age of a driver 21 years and older has any effect on the number of motor vehicle accidents in which he/she is involved. Question 1:

Variance inflation factor, VIF is the abbreviation of variance inflation fa...

VIF is the abbreviation of variance inflation factor which is a measure of the amount of multicollinearity that exists in a set of multiple regression variables. *The VIF value

Ehrenberg''s equation, The equation linking the height and weight of the ch...

The equation linking the height and weight of the children between the ages of 5 and 13 and given as follows   here w is the mean weight in kilograms and h the mean height in

Describe Generalized principal components analysis, Generalized principal c...

Generalized principal components analysis: The non-linear version of the principal components analysis in which the goal is to determine the non-linear coordinate system which is

Daycare, facts and statistics about daycare

facts and statistics about daycare

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd