The Behrens-Fisher Problem: A Z Distribution Approach
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 21, Issue 1
Abstract
We propose the Z distribution to tackle the Behrens-Fisher problem. First, we define the Z distribution which is a generalization of the t distribution, and then find the pdf and cdf of the Z distribution. After that, we apply the Z distribution in the hypothesis testing of two normal means, where three different assumptions of the variances are considered. The Z distribution is very flexible in the applications in which one statistics that obeys the Z distribution is applicable to all the three assumptions of the variances. Finally, we provide two groups of simulation studies for the hypothesis testing problems of two normal means.
Authors and Affiliations
Ying-Ying Zhang, Teng-Zhong Rong, Man-Man Li
Keywords
Related Articles
- EP ID EP321906
- DOI 10.9734/BJMCS/2017/31815
- Views 80
- Downloads 0
Cyclic-union Operation to Obtain Latin Squares
With the power that has taken the information technologies, one has developed the study and research about cryptography, and cryptanalysis, in which Latin squares are ideal candidates for being used in cryptographic syst...
Velocity Profiles of Unsteady Blood Flow through an Inclined Circular Tube with Magnetic Field
The present paper is devoted to study the flow of incompressible viscous, electrically conducting fluid (blood) in a rigid inclined circular tube with magnetic field. The blood is considered to be Newtonian fluid and the...
Prime Numbers New Pattern, Formulas and ASA Method
The author proposes this paper to present a solution for natural distribution of prime numbers along numbers line, the author discovers the new pattern and proposes two formulas and the new method to generate prime numbe...
The Behrens-Fisher Problem: A Z Distribution Approach
We propose the Z distribution to tackle the Behrens-Fisher problem. First, we define the Z distribution which is a generalization of the t distribution, and then find the pdf and cdf of the Z distribution. After that, we...
Magnetic Curves According to Bishop Frame and Type-2 Bishop Frame in Euclidean 3-Space
In this paper, we de ne the notions of T-magnetic, N1-magnetic, N2-magnetic curves according to Bishop frame and 1-magnetic, 2-magnetic, B-magnetic curves according to type-2 Bishop frame in Euclidean 3-space. Also, we...