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A Comparative Analysis Of Economic Efficiency Of Medium-Sized Manufacturing Enterprises In Districts Of Wielkopolska Province Using The Hybrid Approach With Metric And Interval-Valued Data

Author

Listed:
  • Dehnel Grażyna

    (Poznan University of Economics and Business, Department of Statistics, Poznań, Poland .)

  • Walesiak Marek

    (Wroclaw University of Economics, Department of Econometrics and Computer Science, Jelenia Góra. Poland)

Abstract

The article describes a hybrid approach to evaluating economic efficiency of medium-sized manufacturing enterprises (employing from 50 to 249 people) in districts of Wielkopolska province, using metric and interval-valued data. The hybrid approach combines multidimensional scaling with linear ordering. In the first step, multidimensional scaling is applied to obtain a visual representation of objects in a two-dimensional space. In the next step, a set of objects is ordered linearly based on the distance from the pattern (ideal) object. This approach provides new possibilities for interpreting linearly ordered results of a set of objects. Interval-valued variables characterise the objects of interests more accurately than metric data do. Metric data are atomic, i.e. an observation of each variable is expressed as a single real number. In contrast, an observation of each interval-valued variable is expressed as an interval. The analysis was based on data prepared in a two-stage process. First, a data set of observations was obtained for metric variables describing economic efficiency of medium-sized manufacturing enterprises. These unit-level data were aggregated at district level (LAU 1) and turned into two types of data: metric and interval-valued data. In the analysis of interval-valued data, two approaches are used: symbolic-to-classic, symbolic-to-symbolic. The article describes a comparative analysis of results of the assessment of economic efficiency based on metric and interval-valued data (the results of two approaches). The calculations were made with scripts prepared in the R environment.

Suggested Citation

  • Dehnel Grażyna & Walesiak Marek, 2019. "A Comparative Analysis Of Economic Efficiency Of Medium-Sized Manufacturing Enterprises In Districts Of Wielkopolska Province Using The Hybrid Approach With Metric And Interval-Valued Data," Statistics in Transition New Series, Polish Statistical Association, vol. 20(2), pages 49-67, June.
    • Handle: RePEc:vrs:stintr:v:20:y:2019:i:2:p:49-67:n:5
    DOI: 10.21307/stattrans-2019-014
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    References listed on IDEAS

    as
    1. Grażyna Dehnel, 2015. "Robust regression in monthly business survey," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 16(1), pages 137-152, May.
    2. Marek Walesiak & Andrzej Dudek, 2017. "Selecting The Optimal Multidimensional Scaling Procedure For Metric Data With R Environment," Statistics in Transition New Series, Polish Statistical Association, vol. 18(3), pages 521-540, September.
    3. Groenen, P.J.F. & Winsberg, S. & Rodriguez, O. & Diday, E., 2006. "I-Scal: Multidimensional scaling of interval dissimilarities," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 360-378, November.
    4. Grażyna Dehnel, 2015. "Robust Regression In Monthly Business Survey," Statistics in Transition New Series, Polish Statistical Association, vol. 16(1), pages 137-152, March.
    5. Federica Gioia & Carlo Lauro, 2006. "Principal component analysis on interval data," Computational Statistics, Springer, vol. 21(2), pages 343-363, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    medium-sized enterprise; metric data; interval-valued data; multidimensional scaling; composite measures; C38; C43; C63; C88; R12;
    All these keywords.

    JEL classification:

    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

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