Author: Viktor Witkovský
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
Book Description
Weerahandi (1995b) suggested a generalization of the Fisher's solution to the Behrens-Fisher problem to the problem of multiple comparisons with unequal variances by the method of generalized -values. In this paper we present a brief outline of the Fisher's solution and its generalization as well as the methods to calculate the -values required for deriving the conservative joint confidence interval estimates for the pairwise mean differences, refered to as the generalized Scheffé intervals. Further, we present the corresponding tables with critical values for simultaneous comparisons of the mean differences of up to = 6 normal populations with unequal variances based on independent random samples with very small sample sizes.
On the Solution to the Behrens-Fisher Problem and Its Generalization to the Pairwise Multiple Comparisons
Author: Viktor Witkovský
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
Book Description
Weerahandi (1995b) suggested a generalization of the Fisher's solution to the Behrens-Fisher problem to the problem of multiple comparisons with unequal variances by the method of generalized -values. In this paper we present a brief outline of the Fisher's solution and its generalization as well as the methods to calculate the -values required for deriving the conservative joint confidence interval estimates for the pairwise mean differences, refered to as the generalized Scheffé intervals. Further, we present the corresponding tables with critical values for simultaneous comparisons of the mean differences of up to = 6 normal populations with unequal variances based on independent random samples with very small sample sizes.
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
Book Description
Weerahandi (1995b) suggested a generalization of the Fisher's solution to the Behrens-Fisher problem to the problem of multiple comparisons with unequal variances by the method of generalized -values. In this paper we present a brief outline of the Fisher's solution and its generalization as well as the methods to calculate the -values required for deriving the conservative joint confidence interval estimates for the pairwise mean differences, refered to as the generalized Scheffé intervals. Further, we present the corresponding tables with critical values for simultaneous comparisons of the mean differences of up to = 6 normal populations with unequal variances based on independent random samples with very small sample sizes.
A Multiple-Testing Approach to the Multivariate Behrens-Fisher Problem
Author: Tejas Desai
Publisher: Springer Science & Business Media
ISBN: 1461464439
Category : Mathematics
Languages : en
Pages : 60
Book Description
In statistics, the Behrens–Fisher problem is the problem of interval estimation and hypothesis testing concerning the difference between the means of two normally distributed populations when the variances of the two populations are not assumed to be equal, based on two independent samples. In his 1935 paper, Fisher outlined an approach to the Behrens-Fisher problem. Since high-speed computers were not available in Fisher’s time, this approach was not implementable and was soon forgotten. Fortunately, now that high-speed computers are available, this approach can easily be implemented using just a desktop or a laptop computer. Furthermore, Fisher’s approach was proposed for univariate samples. But this approach can also be generalized to the multivariate case. In this monograph, we present the solution to the afore-mentioned multivariate generalization of the Behrens-Fisher problem. We start out by presenting a test of multivariate normality, proceed to test(s) of equality of covariance matrices, and end with our solution to the multivariate Behrens-Fisher problem. All methods proposed in this monograph will be include both the randomly-incomplete-data case as well as the complete-data case. Moreover, all methods considered in this monograph will be tested using both simulations and examples.
Publisher: Springer Science & Business Media
ISBN: 1461464439
Category : Mathematics
Languages : en
Pages : 60
Book Description
In statistics, the Behrens–Fisher problem is the problem of interval estimation and hypothesis testing concerning the difference between the means of two normally distributed populations when the variances of the two populations are not assumed to be equal, based on two independent samples. In his 1935 paper, Fisher outlined an approach to the Behrens-Fisher problem. Since high-speed computers were not available in Fisher’s time, this approach was not implementable and was soon forgotten. Fortunately, now that high-speed computers are available, this approach can easily be implemented using just a desktop or a laptop computer. Furthermore, Fisher’s approach was proposed for univariate samples. But this approach can also be generalized to the multivariate case. In this monograph, we present the solution to the afore-mentioned multivariate generalization of the Behrens-Fisher problem. We start out by presenting a test of multivariate normality, proceed to test(s) of equality of covariance matrices, and end with our solution to the multivariate Behrens-Fisher problem. All methods proposed in this monograph will be include both the randomly-incomplete-data case as well as the complete-data case. Moreover, all methods considered in this monograph will be tested using both simulations and examples.
On a Generalization of the Behrens-fisher Problem
Author: John E. WALSH
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
Book Description
This paper considers a generalization of the BehrensFisher problem which appears to be approximated by many practical situations. A solution is presented for the generalized situation and some efficiency properties of this solution are investigated. (Author).
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
Book Description
This paper considers a generalization of the BehrensFisher problem which appears to be approximated by many practical situations. A solution is presented for the generalized situation and some efficiency properties of this solution are investigated. (Author).
Discussiones Mathematicae
Author:
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 328
Book Description
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 328
Book Description
Summer School DATASTAT ...
Author:
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 348
Book Description
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 348
Book Description
A Comparison of the Performance of Several Solutions to the Behrens-Fisher Problem
Author: Barbara Rose Kuzmak
Publisher:
ISBN:
Category : Statistical hypothesis testing
Languages : en
Pages : 100
Book Description
Publisher:
ISBN:
Category : Statistical hypothesis testing
Languages : en
Pages : 100
Book Description
Alternative Approaches in the Behrens-Fisher Problem
Author: Sidney Irving Feurst
Publisher:
ISBN:
Category :
Languages : en
Pages : 102
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 102
Book Description
Solutions to the Multivariate G-sample Behrens-Fisher Problem Based Upon Generalizations of the Brown-Forsythe F* Amd Wilcox Hm Tests
Author: William Thomas Coombs
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 296
Book Description
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 296
Book Description
A Proposed Solution to the Behrens-Fisher Problem
Author: Naomi Schwartz Fineberg
Publisher:
ISBN:
Category : Sampling (Statistics)
Languages : en
Pages : 332
Book Description
Publisher:
ISBN:
Category : Sampling (Statistics)
Languages : en
Pages : 332
Book Description
A Four Moment Solution to the Behrens-Fisher Problem
Author: Stephen Mark Scariano
Publisher:
ISBN:
Category : Behrens-Fisher problem
Languages : en
Pages : 190
Book Description
Publisher:
ISBN:
Category : Behrens-Fisher problem
Languages : en
Pages : 190
Book Description