The effect of Factor and Cluster Analysis in Modeling using SPSS

The objective of this research is to arrive at to the following- Determine the number of factors that are extraced after using factor analysis for different dry milk type .- Determine number of different Clustering groups .- Explain the relationship between the elements after using the two analysis together .The research depends on (20) samples drown randomly from deferent dry milks . Using the two analysis Factor and Cluster analysis and by using statistical software (SPSS), and the results are:First: Cluster analysisThere are two factors which explain 91.8% of the total of variation between variables was used in this research . The first eigen value was 52.3% of the total variation , while the second eigen value was 38.7% of the total variation .Second: Factor analysisThree groups appear as a result of cluster analysis using data of (20) samples of dry milk types , as follows :A- The first group involves full cream milk .B- The second group involves also full cream milk ,C- The third group involves infant formula .Third : The two analysis together Design figure (2) which consists of two dimensions depending on figure (1). Matching the results of the two analysis, where the cluster analysis classifies the different samples of dry milk types into three groups (as mention above). while the factor analysis mentions that the two groups (first and second) waswere two closet and they are far away from the third group . this reflects the nature of the structure of these samples, where the two groups(first and second) involve full cream milks , while the third group involves infant formula .