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  • Books
  • Articles  (8)
  • Articles: DFG German National Licenses  (8)
  • Latest Papers from Table of Contents or Articles in Press
  • numerical taxonomy  (8)
  • 1970-1974  (8)
  • Geosciences  (8)
  • Architecture, Civil Engineering, Surveying
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  • Books
  • Articles  (8)
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  • Articles: DFG German National Licenses  (8)
  • Latest Papers from Table of Contents or Articles in Press
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  • Geosciences  (8)
  • Architecture, Civil Engineering, Surveying
  • Mathematics  (8)
  • 1
    Electronic Resource
    Electronic Resource
    Numerical classification applied to certain Jamaican eocene nummulitids (1971)
    Springer
    Mathematical geology 3 (1971), S. 297-311 
    Details
    ISSN: 1573-8868
    Keywords: classification ; cluster analysis ; discriminant analysis ; numerical taxonomy ; paleontology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Eighty-eight specimens of Eocene nummulitids from the Yellow Limestone Formation of northwestern Jamaica are classified according to quantitative measurements of morphologic parameters that are generally considered to be taxonomically useful. The specimens are grouped into homogeneous classes by the computer screening of differently oriented data projections. By this method, the use of similarity coefficients and the question of a priori weighting of characters, for which numerical taxonomy has been heavily criticized, are both avoided. The stability of the classes thus obtained is validated by discriminant analysis. These techniques provide an objective view of phenetic differences among specimens and show how the measured characters produce those differences. Tightness of coiling and total number of whorls, prove to be the most useful features in discriminating between groups but seem to have taxonomic value only at the specific and not at the generic level. This suggests that the generaOperculinoides andNummulites are synonymous.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02045797
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Numeric examination of multivariate soil samples (1971)
    Springer
    Mathematical geology 3 (1971), S. 1-14 
    Details
    ISSN: 1573-8868
    Keywords: classification ; cluster analysis ; principal components analysis ; numerical taxonomy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Numerical methods for the examination of multivariate soil samples are presented in geometric terms. Techniques of coordinate representation by principal components, by nonmetric scaling, and by a new method are discussed, as are techniques for agglomerative hierarchic cluster analysis. These are illustrated by two sets of previously published data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02047429
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The statistical zap versus the shotgun approach (1974)
    Springer
    Mathematical geology 6 (1974), S. 311-332 
    Details
    ISSN: 1573-8868
    Keywords: canonical correlation ; cluster analysis ; correlation ; discriminant analysis ; factor analysis ; multivariate analysis ; numerical taxonomy ; principal coordinates ; regression analysis ; statistics ; allometry ; eurypterids ; integration and coordination ; ontogeny ; paleontology ; relative growth
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Multivariate analysis is used in the search for one or more types of structure. The statistical zap applies a single method to determine one preselected type of structure. Several zaps suffice to ascertain several types of structure. The statistical shotgun represents an alternative approach. Here, a series of methods is applied to the data with the intent of ascertaining all possible types of structure that may exist. If strong structure is present, an appropriate zap will probably reveal it, and a variety of techniques will determine the same general structure. If only the main structure is required, the zap is adequate. In this situation, the shotgun will display a basic consistency which is at least reassuring. However, zaps may fail to detect a more subtle secondary structure of geological interest which will be displayed by the shotgun. For weakly structured data, a zap will only determine one type of structure but the shotgun reveals all. Study of the ontogeny of Parastylonurus myops(Clarke), a Lower Silurian eurypterid from New York (USA) shows the virtues of the statistical shotgun.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02082354
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Use of discriminant analysis for classification of strata in sedimentary successions (1973)
    Springer
    Mathematical geology 5 (1973), S. 163-177 
    Details
    ISSN: 1573-8868
    Keywords: classification ; discriminant analysis ; geochemistry ; numerical taxonomy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The technique of instrumental neutron activation analysis (INAA) has been used to analyze chip samples of geological material for 12 elements. Discriminant analysis has been used to classify the unknown chip samples to the correct stratum in a sedimentary succession.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02111893
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  • 5
    Electronic Resource
    Electronic Resource
    Quantified coefficients of association and measurement of similarity (1974)
    Springer
    Mathematical geology 6 (1974), S. 135-152 
    Details
    ISSN: 1573-8868
    Keywords: classification ; cluster analysis ; numerical taxonomy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Coefficients of association have been widely employed in cluster analysis. However, their use has been, for the most part, restricted to binary data. This limitation can be overcome by redefining positive and negative matches and mismatches in terms of minimum and maximum values of paired elements of parallel vector arrays. Rewriting the algorithms of coefficients of association with these new components gives the new “quantified” coefficients general utility for binary, ordered multistate, and quantitative data, while retaining their original analytic properties. Quantified coefficients of association avoid several problems of shape and size that are associated with correlation coefficients and measures of Euclidean distance. However, when measuring similarity, quantified coefficients weight each attribute of an object by that attribute's magnitude. A related set of similarity indices termed “mean ratios” is introduced; these indices give each attribute equal weight in all situations. Both quantified coefficients of association and mean ratios are related to a number of measures of similarity introduced to various fields of scientific research during the past 50 years. A review of this literature is included in an attempt to consolidate methodology and simplify nomenclature.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02080152
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  • 6
    Electronic Resource
    Electronic Resource
    Some principles of data storage and information retrieval and their implications for information exchange (1973)
    Springer
    Mathematical geology 5 (1973), S. 1-10 
    Details
    ISSN: 1573-8868
    Keywords: classification ; data processing ; information exchange ; general geology ; groundwater ; numerical taxonomy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The definition of objectives and question of interpretation must be considered when setting up data banks. The objective will determine the type of data to be collected. A hierarchy of data-processing systems exists where the amount of interpretation in the data increases as the order of the system increases. The remarkable continuity of basic data can be embodied in the axiom: “Any fundamental data free of interpretation cannot be discontinuous.” The measurement of space and time remain invariant for all orders of data systems and are essential for relating data containing various amounts of interpretation. In general, only basic data should be exchanged. Where this is not feasible the object described should be clearly defined in space and time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02114083
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  • 7
    Electronic Resource
    Electronic Resource
    A multivariate analytical strategy for classifying paleoenvironments (1974)
    Springer
    Mathematical geology 6 (1974), S. 333-352 
    Details
    ISSN: 1573-8868
    Keywords: classification ; cluster analysis ; discriminant analysis ; multivariate analysis ; ordination ; numerical taxonomy ; paleoecology ; sedimentology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract A multivariate analytical strategy is proposed for aiding the investigator in extracting maximum information from environmental data. Data are carefully coded and scaled and are tested for redundancy using R-mode cluster analysis. The samples are partitioned into environmental classes using Q-mode cluster analysis. Q-mode ordination facilitates interpretations, which usually can be verified by comparison with field relationships. Discriminant analysis serves as an identification procedure for extending the classification to unknown samples. The strategy is demonstrated by application to Cape Hatteras microorganism distributions and Devonian sedimentary facies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02082355
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  • 8
    Electronic Resource
    Electronic Resource
    An application of cluster analysis in mineral exploration (1973)
    Springer
    Mathematical geology 5 (1973), S. 213-223 
    Details
    ISSN: 1573-8868
    Keywords: classification ; cluster analysis ; numerical taxonomy ; mineral exploration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract This paper presents a technique for evaluating the similarity of ore deposits utilizing several geological variables. Information on tungsten mines in North America, taken from published literature, was used for a cluster analysis to group samples according to their similarity based on a simple matching coefficient. It was possible to interpret and evaluate different ore environments that clustered according to age, mineralogy, and other variables. Cluster analysis may be important in mineral exploration where considerable amounts of data are available for analysis. Subtle relationships that might be overlooked because the data are too voluminous can be isolated using this technique. It also can be used to establish exploration priority in unknown areas on the basis of similarity to known metallogenetic provinces.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02111811
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