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Statistics for Marketing and Consumer Research (统计数据营销和消费者研究)
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * Statistics The agglomeration schedule is a table which shows the steps of the clustering procedure, indicating which cases (clusters) are merged and the merging distance The proximity matrix contains all distances between cases (it may be huge) Shows the cluster membership of individual cases only for a sub-set of solutions * Plots Shows the clustering process, indicating which cases are aggregated and the merging distance With many cases, the dendrogram is hardly readable The icicle plot (which can be restricted to cover a small range of clusters), shows at what stage cases are clustered. The plot is cumbersome and slows down the analysis (advice: no icicle) * Method Choose a hierarchical algorithm Choose the type of data (interval, counts binary) and the appropriate measure Specify whether the variables (values) should be standardized before analysis. Z-scores return variables with zero mean and unity variance. Other standardizations are possible. Distance measures can also be transformed * Cluster memberships If the number of clusters has been decided (or at least a range of solutions), it is possible to save the cluster membership for each case into new variables * The example: agglomeration schedule ? ? Cluster Combined ? ? Stage Number of clusters Cluster 1 Cluster 2 Distance Diff. Dist 490 10 8 12 544.4 ? 491 9 8 11 559.3 14.9 492 8 3 7 575.0 15.7 493 7 3 366 591.6 16.6 494 6 3 6 610.6 19.0 495 5 3 37 636.6 26.0 496 4 13 23 663.7 27.1 497 3 3 13 700.8 37.1 498 2 1 8 754.1 53.3 499 1 1 3 864.2 110.2 Last 10 stages of the process (10 to 1 clusters) As the algorithms proceeds towards the end, the distance increases * Scree diagram The scree diagram (not provided by SPSS but created from the agglomeration schedule) shows a larger distance increase when the cluster number goes below 4 Elbow? * Non-hierarchical solutionwith 4 clusters * K-means solution (4 clusters) Variables Number of clusters (fix
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