Suggested Estimation Technique of the Observed different levels for the Independent and Repeated measurements Designs by Improvement the ( Leaf – stem ) graphical method

Abstract

The research aimed to estimate the gradation differences that had been happened between the independent samples design and between the repeated sample design of interval and rational measurements scales as a results of the statistical hypotheses processes for coincidence testing of samples populations , compound and simple hypotheses respectively .The level of significant could be convergent according to the statistics testing results when rejecting that hypotheses with highly grade of similarity which had had a signs bad vision in view of differentiation processes between that populations and then the testing significant of trace would be similar however a differences in the test statistics among that groups . In addition to that , the differentiation could be accredit to a pointed an actual differences in the trace measuring between that groups .An improvement suggested technique for the ( Stem-Leaf ) method which known by explorer plot by using measure rectangular area that determined with the cord at the two centered lines of median responding for the two independent samples which could be refined to more than one pair of populations and through using angularity measure that determined with the cord at the two centered lines of median responding for the two repeated samples which could be refined to more than one pair of populations also , that is for the first time as far ( as we know ) .The two interpreted of the suggested techniques showed a highly and accuracy estimations in the measuring of the actual levels of differentiation of the two studied designs and then tolerance the problem of a bad vision for the differentiation processes .