1973
DOI: 10.1111/j.1745-3984.1973.tb00782.x
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Methods of Reordering the Correlation Matrix to Facilitate Visual Inspection and Preliminary Cluster Analysis

Abstract: Using the notion of parallel items this paper presents a family of new criteria for cluster analysis. Instead of looking at the item correlation matrix one could look at a matrix of similarity coefficients. These coefficients are standardized raw dot products of columns in the correlation matrix or related numbers. After discussing the properties of this matrix the discussion will move to a classic example of a factor analytic problem in personality assessment, an item pool concerned with Fromm's marketing ori… Show more

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Cited by 44 publications
(28 citation statements)
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“…A useful methodological consideration that follows from an analysis of external consistency is that indicators from other scales provide a means by which to assess unidimensionality of the items that define the given scale. Simply stated, given Equation 3, measures that are truly alternate indicators of the same underlying construct will correlate proportionally with other indicators and factors to within sampling error (Hunter, 1973;Hunter & Gerbing, 1982;Anderson & Gerbing, 1982). The construction of scales to satisfy the requirements of a multiple-indicator measurement model is, in many ways, a more explicit formalization of traditional psychometric procedures for achieving unidirnensional scales (Gerbing &Anderson, 1988;Gerbing, 1989).…”
Section: Multiple-indicator Measurement Modelsmentioning
confidence: 98%
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“…A useful methodological consideration that follows from an analysis of external consistency is that indicators from other scales provide a means by which to assess unidimensionality of the items that define the given scale. Simply stated, given Equation 3, measures that are truly alternate indicators of the same underlying construct will correlate proportionally with other indicators and factors to within sampling error (Hunter, 1973;Hunter & Gerbing, 1982;Anderson & Gerbing, 1982). The construction of scales to satisfy the requirements of a multiple-indicator measurement model is, in many ways, a more explicit formalization of traditional psychometric procedures for achieving unidirnensional scales (Gerbing &Anderson, 1988;Gerbing, 1989).…”
Section: Multiple-indicator Measurement Modelsmentioning
confidence: 98%
“…Items were initially grouped together on the basis of their correlations using the ITAN ordering (Hunter, 1973) procedure. Preliminary scales were then constructed by examining the entire 184 x 184 ordered correlation matrix.…”
Section: Analytic Techniquementioning
confidence: 99%
“…For each of the scale variables, procedures related to examination of the factor structure of a scale were used to compare the expected correlation matrix, generated on the basis of the theoretical measurement model, to the observed matrix generated by the actual data (Nunnally & Bernstein, 1994;Hunter, 1973;Hunter & Cohen, 1969;Levine & McCroskey, 1990).…”
Section: Preliminary Analysismentioning
confidence: 99%
“…Frequent references can be found in the literature to a paper by Anderson and Gerbing (1982) and to a paper by Hunter (1973) and one by Tryon and Bailey (1970) suggesting the use of the similarity coefficient or the index of proportionality to estimate the unidimensionality of measures. This index is based on the following idea.…”
Section: Test Of Unidimensionality Using the Similarity Indexmentioning
confidence: 97%