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differences between clusters on variables that were not used in the cluster analysis. It is critical for the validity of the test that the variable not be used in forming the clusters. A different type of external analysis is based on a data partition generated independently of the data set at hand. The partition can be speci ed from a theoretical model or obtained from a clustering of a separate data set. Hubert and Baker (1977) developed a method to test for the signi cance of similarity between the two sets of partitions. The test is based on an assumption of independent assignments to groups in the two partition sets. It is important to note that the Hubert and Baker method cannot be applied to two clusterings of the same data set. Doing so would not result in two independent groupings of the objects in the study. An internal criterion analysis is based on information obtained from within the clustering process. These analyses are based on measures that attempt to represent in some form the goodness of t between the input data and the resulting cluster partitions. There are numerous ways in which to measure the goodness of t. Milligan (1981b) conducted a study of 30 internal criterion indices for cluster analysis. For an extended discussion of such indices, see Milligan (1981b). Milligan s research indicated that indices such as the gamma, C-index, and tau measures should make an effective measure of internal consistency. The advantage to identifying an effective internal criterion index is that it can serve as a test statistic in a hypothesistesting context. The test can be used to determine whether a signi cant clustering exists in the data. The main problem with this approach is the speci cation of a suitable sampling distribution for the test statistic under the null hypothesis of no cluster structure. One can use randomization methods, or bootstrapping, to generate an approximate sampling distribution. Milligan and Sokol (1980), Begovich and Kane (1982), and Good (1982) have all proposed tests based on this strategy. Unfortunately, software support for this form of testing is not widely available. Replication Analysis Replication analysis within a clustering context appears to have been developed by McIntyre and Blash eld (1980) and by Morey, Blash eld, and Skinner (1983). Replication analysis is analogous to a cross-validation procedure in multiple regression. The logic behind replication analysis is that if an underlying clustering exists in the data set, then one should be able to replicate these results in a second sample from the same source and set of variables. There are six steps in a replication analysis. First, one obtains two samples. This can be done by taking a random split-half reliability of a larger generate, create bar code interface none with java projects KeepDynamic.com/ barcodesjava barcode generator library use jar barcodes generation to make bar code on java value KeepDynamic.com/ bar code 1 2 3 4 Evolution as a Foundation for Psychological Theories use asp .net barcode encoder to compose barcode for vb.net copy KeepDynamic.com/ barcodesssrs barcode font free using telephone cri sql server reporting services to use bar code in asp.net web,windows application KeepDynamic.com/ bar code1.4 A NEW TAXONOMY
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