Suggested technique for Estimation preference grades proportion for several independent groups by using the Self - Consistent criteria in Factor Analysis

Abstract

The research aimed to Suggested technique for estimation self consistency preference grades proportion levels in the Factor Analysis in choosing the components matrix before and after rotation ( Orthogonal & Non – orthogonal ) for two ( or several ) groups of independent groups design through measurement the vertical distance between the Centroid point of all variables in the loading plot of the first three principle factors and the surface of the first component for each group after transforming the plotted form to officinal applicant on the personal computer having potential of using (Drawing line) to draw up the farness mentionable to each one . That is performed the Self-consistent grades estimates. That process aimed to estimate the Self-consistent property in the principle factor analysis for the factors matrices which were under comparative according to graduation of that distances within a descending status in order to achieve to the best choosing for a simple structure and comparisons the descending results of distances mentionable by the calculated Self-consistency grades . In order to estimate the preference grades proportion levels among several groups under comparative , a Suggested technique had been used to enables for obtaining the grades proportion levels which can be used to study the preference grades and then adopted a suitable decision about that criteria , where advert the total vertical distant to the total length of the vertical coordinate through changes the cube form of the three components to the eye denominator on the second component only by using the technique window (3-D Rotation) . These were achieved by real data having ellipse multivariate distribution asymptotically to the multivariate normal distribution . According to the results which had been achieved in application section showed the significant of using the suggested technique in extension rule of the Self consistence criteria in case of one group to estimating the proportion grade preference for two ( or several ) groups for independent groups design in the factor analysis and enables for using that technique in estimating the differences size between that independent groups which were under comparisons .