تحليل التباين متعدد المتغيرات لتصميم القطع المنشقة - المنشقة == Multivariate Analysis of Varaince For Split - Split Plot Design
Author name:
حسام عبد الرزاق رشيد البكري
Supervisor name:
ظافر حسين رشيد النجار
General topic:
Administration and Economics
Specific topic:
Statistics
Degree:
Master
University:
University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language:
Arabic
University location:
Baghdad
First pages:
07T3531 - p.pdf
Abstract:
This research work is a study of multivariate analysis of variance model (MANOVA) for the design of split - split plot to a complete randomized block. As it is an important method for determining whether the response variables are influenced with each other or in other words whether the correlation between the variables of a force such that it influence the decision taken concerning the applied hypothesis. When we don’t ignore the relationships which are created between the responses variables lead us to generalize the tests in the univariate analyses about the means of normal population to be changed to tests involving mean vectors responses taken from multivariate normal population. Ignoring the existing relationships between variables lead us to untrue conclusions, so in doing the (MANOVA) gives us a full picture of the experimental factors and their interaction in the experiment as a whole. The concentration on doing the (MANOVA) should not be at the expense of the study of the univariate analysis. So the research work involves the problem of heterogeneous in sub - sub plot variances, which is considered one of the important problems put forward by other researchers which may limit his work in special procedure. We are interested in solving this problem by using a univariate analysis procedure after splitting the error of sub - sub plot and then finding the standard deviation used in comparison testing between about the third factor (c). Then comparing them with the standard deviation used, if we assume the existence of homogeneity in variances of sub - sub plot.
