Cluster Analysis in Perspective.

Classification is a fundamental scientific activity and remains one of the most intractable research and applied problems in special education. This article describes the strengths and weaknesses of different models of classification (primarily monothetic and polythetic) and then focuses on cluster analysis as a method of pursuing a polythetic model. Design features that need to be incorporated in a cluster analytic study are discussed in relation to theory formulation, internal validity, and external validity. References to both methodological and applied articles are provided for illustration and further study.

[1]  D Scheibler,et al.  Monte Carlo Tests of the Accuracy of Cluster Analysis Algorithms: A Comparison of Hierarchical and Nonhierarchical Methods. , 1985, Multivariate behavioral research.

[2]  J. Hailman.  Wonderful Life: The Burgess Shale and the Nature of History, Stephen Jay Gould. W. W. Norton, New York (1989), 347, Price $19.95 (U.S.A.), $27.95 (Canada) , 1991 .

[3]  D L Medin,et al.  Concepts and conceptual structure. , 1989, The American psychologist.

[4]  André Hardy,et al.  An examination of procedures for determining the number of clusters in a data set , 1994 .

[5]  J. Torgesen.  The use of Rationally Defined Subgroups in Research on Learning Disabilities , 1982 .

[6]  D. Luke,et al.  Charting the process of change: A primer on survival analysis , 1993, American journal of community psychology.

[7]  L. Cronbach,et al.  Assessing similarity between profiles. , 1953, Psychological bulletin.

[8]  Lydia J. Price.  Identifying cluster overlap with NORMIX population membership probabilities , 1993 .

[9]  R Lyon,et al.  Neuropsychological characteristics of empirically derived subgroups of learning disabled readers. , 1982, Journal of clinical neuropsychology.

[10]  Educational validation studies of learning disability subtypes. , 1985 .

[11]  J. Breckenridge.  Replicating Cluster Analysis: Method, Consistency, and Validity. , 1989, Multivariate behavioral research.

[12]  Harvey A. Skinner,et al.  Differentiating the Contribution of Elevation, Scatter and Shape in Profile Similarity , 1978 .

[13]  G. Morrison,et al.  Family profiles of adaptability, cohesion, and communication for learning handicapped and nonhandicapped adolescents , 1992, Journal of youth and adolescence.

[14]  Douglas A. Luke,et al.  Cluster analysis in community research: Epistemology and practice , 1993 .

[15]  J. H. Ward.  Hierarchical Grouping to Optimize an Objective Function , 1963 .

[16]  G. W. Milligan,et al.  A Review Of Monte Carlo Tests Of Cluster Analysis. , 1981, Multivariate behavioral research.

[17]  Anil K. Jain,et al.  Algorithms for Clustering Data , 1988 .

[18]  M. Lorr.  Cluster analysis for social scientists , 1938 .

[19]  R K Blashfield,et al.  Evaluative criteria for psychiatric classification. , 1976, Journal of abnormal psychology.

[20]  Harvey A. Skinner,et al.  "The eyes that fix you": A model for classification research. , 1977 .

[21]  Anne E. Fowler,et al.  Cognitive profiles of reading disability: Comparisons of discrepancy and low achievement definitions. , 1994 .

[22]  Roger K. Blashfield,et al.  The Methods and Problems of Cluster Analysis , 1988 .

[23]  L C Morey,et al.  A Comparison of Cluster Analysis Techniques Withing a Sequential Validation Framework. , 1983, Multivariate behavioral research.

[24]  J. Torgesen,et al.  Processing deficiencies of learning-disabled children who perform poorly on the Digit Span Test. , 1980, Journal of educational psychology.

[25]  R. Blashfield,et al.  Developmental classification of reading-disabled children. , 1986, Journal of clinical and experimental neuropsychology.

[26]  G. W. Milligan,et al.  Methodology Review: Clustering Methods , 1987 .

[27]  G. W. Milligan,et al.  A Study of the Beta-Flexible Clustering Method. , 1989, Multivariate behavioral research.

[28]  D. Speece,et al.  Ontogeny of School Failure: Classification of First-Grade Children , 1990 .

[29]  M. Drake.  Diagnostic and Statistical Manual of Mental Disorders (3rd ed. rev.) , 1988 .

[30]  Andrew W. Ellis,et al.  The cognitive neuropsychology of developmental (and acquired) dyslexia: A critical survey , 1985 .

[31]  M. Aldenderfer,et al.  Cluster Analysis. Sage University Paper Series On Quantitative Applications in the Social Sciences 07-044 , 1984 .

[32]  M. Appelbaum,et al.  Validation of Language Subtypes in Learning Disabled Children. , 1986 .

[33]  P. Satz,et al.  5 – LEARNING DISABILITY SUBTYPES: A Review , 1981 .

[34]  G. W. Milligan,et al.  A study of standardization of variables in cluster analysis , 1988 .

[35]  R. Kamphaus,et al.  Taxonomy and Validity of Subtest Profiles on the Kaufman Assessment Battery for Children , 1992 .

[36]  D. Speece,et al.  Academic consequences and longitudinal stability of behavioral subtypes of learning disabled children , 1986 .

[37]  Michael R. Anderberg,et al.  Cluster Analysis for Applications , 1973 .

[38]  R. Blashfield,et al.  A Nearest-Centroid Technique for Evaluating the Minimum-Variance Clustering Procedure. , 1980 .