Skip to main content
Erschienen in: Social Indicators Research 3/2018

16.11.2016

Use of Poset Theory with Big Datasets: A New Proposal Applied to the Analysis of Life Satisfaction in Italy

verfasst von: Giulio Caperna, Giovanna Boccuzzo

Erschienen in: Social Indicators Research | Ausgabe 3/2018

Einloggen

Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The aim of this work is to propose a tool for measuring a complex concept, and to apply it to big sets of data measured on ordinal and/or dichotomous scales. An important field of application are subjective data, that are often based on opinions or personal evaluations. Many national and international surveys employ this kind of data, measured among thousand of individuals. Thanks to the use of the “average rank” as a synthetic measure of a complex concept, we believe that poset theory could be a very useful approach for dealing with ordinal data avoiding the use of scaling procedures. Because classic poset approaches are at their best when applied to few data at a time, our idea is based on a procedure for sampling units from a big population using a simple criterion to summarize the resulting values appropriately. Applying the central limit theorem enables a comparison of the results obtained from different groups using statistical tests on the means. We used our Height of Groups by Sampling (HOGS) method to compare the average rank among groups that are defined by one or more socio-demographic variables influencing the level of the complex concept we wish to measure. The application of the HOGS procedure to life satisfaction in Italy generated convincing results, revealing significant differences between regions, genders and levels of formal education. We compared the results given by HOGS with the non linear principal component analysis and obtain an easy readable output with convincing precision and accuracy; we are confident that the HOGS procedure can be applied to many other concepts investigated in the social sciences.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Brüggemann, R., & Carlsen, L. (2011). An improved estimation of averaged ranks of partial orders. MATCH Communications in Mathematical and in Computer Chemistry, 65, 383–414. Brüggemann, R., & Carlsen, L. (2011). An improved estimation of averaged ranks of partial orders. MATCH Communications in Mathematical and in Computer Chemistry, 65, 383–414.
Zurück zum Zitat Brüggemann, R., & Patil, G. P. (2011). Ranking and prioritization for multi-indicator systems (Vol. 5). New York: Springer.CrossRef Brüggemann, R., & Patil, G. P. (2011). Ranking and prioritization for multi-indicator systems (Vol. 5). New York: Springer.CrossRef
Zurück zum Zitat Brüggemann, R., Sørensen, P. B., Lerche, D., & Carlsen, L. (2004). Estimation of averaged ranks by a local partial order model#. Journal of Chemical Information and Computer Sciences, 44(2), 618–625.CrossRef Brüggemann, R., Sørensen, P. B., Lerche, D., & Carlsen, L. (2004). Estimation of averaged ranks by a local partial order model#. Journal of Chemical Information and Computer Sciences, 44(2), 618–625.CrossRef
Zurück zum Zitat Brüggemann, R., & Voigt, K. (2009). Analysis of partial orders in environmental systems applying the new software pyhasse. In J. Wittmann, M. Flechsig (Eds.), Simulation in Umwelt-und Geowissenschaften, Workshop Potsdam (pp. 43–55), ShakerVerlag. Brüggemann, R., & Voigt, K. (2009). Analysis of partial orders in environmental systems applying the new software pyhasse. In J. Wittmann, M. Flechsig (Eds.), Simulation in Umwelt-und Geowissenschaften, Workshop Potsdam (pp. 43–55), ShakerVerlag.
Zurück zum Zitat Caperna, G. (2016). Partial order theory for synthetic indicators. Ph.D. thesis, University of Padova. Caperna, G. (2016). Partial order theory for synthetic indicators. Ph.D. thesis, University of Padova.
Zurück zum Zitat Cummins, R. A. (1996). The domains of life satisfaction: An attempt to order chaos. Social Indicators Research, 38(3), 303–328.CrossRef Cummins, R. A. (1996). The domains of life satisfaction: An attempt to order chaos. Social Indicators Research, 38(3), 303–328.CrossRef
Zurück zum Zitat Davey, B. A., & Priestley, H. A. (2002). Introduction to lattices and order. New York: Cambridge University Press.CrossRef Davey, B. A., & Priestley, H. A. (2002). Introduction to lattices and order. New York: Cambridge University Press.CrossRef
Zurück zum Zitat De Leeuw, J., & Mair, P. (2009). Gifi methods for optimal scaling in r: The package homals. Journal of Statistical Software, 31(4), 1–30.CrossRef De Leeuw, J., & Mair, P. (2009). Gifi methods for optimal scaling in r: The package homals. Journal of Statistical Software, 31(4), 1–30.CrossRef
Zurück zum Zitat De Loof, K. (2009). Efficient computation of rank probabilities in posets. Ph.D. thesis, University of Ghent. De Loof, K. (2009). Efficient computation of rank probabilities in posets. Ph.D. thesis, University of Ghent.
Zurück zum Zitat De Loof, K., De Baets, B., & De Meyer, H. (2011). Approximation of average ranks in posets. MATCH Communications in Mathematical and in Computer Chemistry, 66, 219–229. De Loof, K., De Baets, B., & De Meyer, H. (2011). Approximation of average ranks in posets. MATCH Communications in Mathematical and in Computer Chemistry, 66, 219–229.
Zurück zum Zitat Fattore, M., & Arcagni, A. (2014). Parsec: an r package for poset-based evaluation of multidimensional poverty. In R. Brüggeman, L. Carlsen & J. Wittmann (Eds.), Multi-indicator systems and modelling in partial order (pp. 317–330). New York: Springer. Fattore, M., & Arcagni, A. (2014). Parsec: an r package for poset-based evaluation of multidimensional poverty. In R. Brüggeman, L. Carlsen & J. Wittmann (Eds.), Multi-indicator systems and modelling in partial order (pp. 317–330). New York: Springer.
Zurück zum Zitat Flanagan, J. C. (1978). A research approach to improving our quality of life. American Psychologist, 33(2), 138–147.CrossRef Flanagan, J. C. (1978). A research approach to improving our quality of life. American Psychologist, 33(2), 138–147.CrossRef
Zurück zum Zitat Gifi, A. (1990). Nonlinear multivariate analysis. Chicester: Wiley. Gifi, A. (1990). Nonlinear multivariate analysis. Chicester: Wiley.
Zurück zum Zitat Gupta, D. K., Jongman, A. J., & Schmid, A. P. (1994). Creating a composite index for assessing country performance in the field of human rights: Proposal for a new methodology. Human Rights Quarterly, 6(1), 131–162.CrossRef Gupta, D. K., Jongman, A. J., & Schmid, A. P. (1994). Creating a composite index for assessing country performance in the field of human rights: Proposal for a new methodology. Human Rights Quarterly, 6(1), 131–162.CrossRef
Zurück zum Zitat Krupinski, J. (1980). Health and quality of life. Social Science and Medicine Part A: Medical Psychology and Medical Sociology, 14(3), 203–211.CrossRef Krupinski, J. (1980). Health and quality of life. Social Science and Medicine Part A: Medical Psychology and Medical Sociology, 14(3), 203–211.CrossRef
Zurück zum Zitat Lerche, D., & Sørensen, P. B. (2003). Evaluation of the ranking probabilities for partial orders based on random linear extensions. Chemosphere, 53(8), 981–992.CrossRef Lerche, D., & Sørensen, P. B. (2003). Evaluation of the ranking probabilities for partial orders based on random linear extensions. Chemosphere, 53(8), 981–992.CrossRef
Zurück zum Zitat Loewe, N., Bagherzadeh, M., Araya-Castillo, L., Thieme, C., & Batista-Foguet, J. M. (2014). Life domain satisfactions as predictors of overall life satisfaction among workers: Evidence from chile. Social Indicators Research, 118(1), 71–86.CrossRef Loewe, N., Bagherzadeh, M., Araya-Castillo, L., Thieme, C., & Batista-Foguet, J. M. (2014). Life domain satisfactions as predictors of overall life satisfaction among workers: Evidence from chile. Social Indicators Research, 118(1), 71–86.CrossRef
Zurück zum Zitat Maggino, F., & Nuvolati, G. (2012). Quality of life in Italy: Research and reflections (Vol. 48). Dordrecht: Springer Science & Business Media. Maggino, F., & Nuvolati, G. (2012). Quality of life in Italy: Research and reflections (Vol. 48). Dordrecht: Springer Science & Business Media.
Zurück zum Zitat Polya, G. (1920). Über den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung und das Momentenproblem. Mathematische Zeitschrift, 8(3), 171–181. Polya, G. (1920). Über den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung und das Momentenproblem. Mathematische Zeitschrift, 8(3), 171–181.
Zurück zum Zitat Rojas, M. (2006). Life satisfaction and satisfaction in domains of life: Is it a simple relationship? Journal of Happiness Studies, 7(4), 467–497.CrossRef Rojas, M. (2006). Life satisfaction and satisfaction in domains of life: Is it a simple relationship? Journal of Happiness Studies, 7(4), 467–497.CrossRef
Zurück zum Zitat Schröder, B. (2012). Ordered sets: An introduction. New York: Springer Science & Business Media. Schröder, B. (2012). Ordered sets: An introduction. New York: Springer Science & Business Media.
Zurück zum Zitat Veenhoven, R. (2012). Happiness: Also known as life satisfaction and subjective well-being. In K. C. Land, A. C. Michalos, & J. Sirgy (Eds.), Handbook of social indicators and quality of life research (pp. 63–77). Dordrecht: Springer.CrossRef Veenhoven, R. (2012). Happiness: Also known as life satisfaction and subjective well-being. In K. C. Land, A. C. Michalos, & J. Sirgy (Eds.), Handbook of social indicators and quality of life research (pp. 63–77). Dordrecht: Springer.CrossRef
Metadaten
Titel
Use of Poset Theory with Big Datasets: A New Proposal Applied to the Analysis of Life Satisfaction in Italy
verfasst von
Giulio Caperna
Giovanna Boccuzzo
Publikationsdatum
16.11.2016
Verlag
Springer Netherlands
Erschienen in
Social Indicators Research / Ausgabe 3/2018
Print ISSN: 0303-8300
Elektronische ISSN: 1573-0921
DOI
https://doi.org/10.1007/s11205-016-1482-3

Weitere Artikel der Ausgabe 3/2018

Social Indicators Research 3/2018 Zur Ausgabe