Test for the significance of the difference between means in two normal populations having unequal variances

Biometrika ◽  
1951 ◽  
Vol 38 (1-2) ◽  
pp. 252-256 ◽  
Author(s):  
D. G. C. GRONOW
1998 ◽  
Vol 48 (1-2) ◽  
pp. 73-82
Author(s):  
Moloy De ◽  
Jyotirmoy Sarkar

We exhibit the superiority of the Graybill- Deal estimator for estimating the common mean of two univariate normal populations with unequal variances, under a two stage sampling scheme. Some properties of the two-stage Graybill-Deal estimator are discussed.


1995 ◽  
Vol 45 (1-2) ◽  
pp. 103-110
Author(s):  
Moloy De

The purpose of this article is to extend a result of Sinha and Mouqadem ( Commun. Stal. Theo. Meth. 11, 1982, 1603-1614), and present a class of admissible estimators of the common mean of two univariate normal populations with unknown unequal variances. An extension of tbis result in the case of two-stage procedures is also briefly discussed.


1976 ◽  
Vol 43 (3_suppl) ◽  
pp. 1259-1262 ◽  
Author(s):  
John E. Bassett ◽  
George C. Schellman

Institutionalized retardates were examined on a special format of a task requiring them to name the colors of 36 color patches and to name the color of the ink in which 36 incongruent color words were printed on separate cards. Mean reaction time for the incongruent condition was significantly longer than that for the color patches and the difference was independent of fatigue and stimulus size. The color-word interference effect previously reported with normal populations when given the Stroop test was demonstrated for this retarded sample using a special format.


2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Yuliang Yin ◽  
Baoren Li

The Behrens-Fisher problem concerns the inferences for the difference between the means of two normal populations without making any assumption about the variances. Although the problem has been extensively studied in the literature, researchers cannot agree on its solution at present. In this paper, we propose a new method for dealing with the Behrens-Fisher problem in the Bayesian framework. The Bayesian evidence for testing the equality of two normal means and a credible interval at a specified level for the difference between the means are derived. Simulation studies are carried out to evaluate the performance of the provided Bayesian evidence.


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