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On Exact Statistical Properties of Multidimensional Indices Based on Principal Components, Factor Analysis, MIMIC and Structural Equation Models

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  • Jaya Krishnakumar

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  • A. Nagar

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Suggested Citation

  • Jaya Krishnakumar & A. Nagar, 2008. "On Exact Statistical Properties of Multidimensional Indices Based on Principal Components, Factor Analysis, MIMIC and Structural Equation Models," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 86(3), pages 481-496, May.
  • Handle: RePEc:spr:soinre:v:86:y:2008:i:3:p:481-496
    DOI: 10.1007/s11205-007-9181-8
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    References listed on IDEAS

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    1. Klasen, Stephan, 2000. "Measuring Poverty and Deprivation in South Africa," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 46(1), pages 33-58, March.
    2. Jaya Krishnakumar, 2007. "Going Beyond Functionings to Capabilities: An Econometric Model to Explain and Estimate Capabilities," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 8(1), pages 39-63.
    3. Ram, Rati, 1982. "Composite indices of physical quality of life, basic needs fulfilment, and income : A principal component representation," Journal of Development Economics, Elsevier, vol. 11(2), pages 227-247, October.
    4. Basudeb Biswas & Frank Caliendo, 2002. "A Multivariate Analysis of the Human Development Index," Working Papers 2002-11, Utah State University, Department of Economics.
    5. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    6. Slottje, Daniel J, 1991. "Measuring the Quality of Life across Countries," The Review of Economics and Statistics, MIT Press, vol. 73(4), pages 684-693, November.
    7. Rahman, Tauhidur & Mittelhammer, Ron C. & Wandschneider, Philip, 2005. "Measuring the Quality of Life across Countries: A Sensitivity Analysis of Well-being Indices," WIDER Working Paper Series 006, World Institute for Development Economic Research (UNU-WIDER).
    8. Krishnakumar, Jaya & Ballon, Paola, 2008. "Estimating Basic Capabilities: A Structural Equation Model Applied to Bolivia," World Development, Elsevier, vol. 36(6), pages 992-1010, June.
    9. Maasoumi, Esfandiar & Nickelsburg, Gerald, 1988. "Multivariate Measures of Well-Being and an Analysis of Inequality in the Michigan Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(3), pages 326-334, July.
    10. Udaya Wagle, 2005. "Multidimensional Poverty Measurement with Economic Well-being, Capability, and Social Inclusion: A Case from Kathmandu, Nepal," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 6(3), pages 301-328.
    11. Maria Laura Di Tommaso, 2006. "Measuring the well being of children using a capability approach An application to Indian data," CHILD Working Papers wp05_06, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
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    Cited by:

    1. Jose Maria Fernandez-Crehuet & J. Ignacio Gimenez-Nadal & Luisa Eugenia Reyes Recio, 2016. "The National Work–Life Balance Index©: The European Case," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 128(1), pages 341-359, August.
    2. Karen Hofmann & Dominik Schori & Thomas Abel, 2013. "Self-Reported Capabilities Among Young Male Adults in Switzerland: Translation and Psychometric Evaluation of a German, French and Italian Version of a Closed Survey Instrument," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 114(2), pages 723-738, November.
    3. José Roberto de Souza Francisco & Hudson Fernandes Amaral & Luís M. de Castro, 2013. "Corporate Governance: Value Creation And Performance In Credit Unions," Portuguese Journal of Management Studies, ISEG, Universidade de Lisboa, vol. 0(1), pages 31-54.
    4. Koen Decancq and Maria Ana Lugo, 2008. "Setting Weights in Multidimensional Indices of Well-Being," OPHI Working Papers ophiwp018, Queen Elizabeth House, University of Oxford.
    5. Guio, Anne-Catherine & Fusco, Alessio & Marlier, Eric, 2009. "A European Union Approach to Material Deprivation using EU-SILC and Eurobarometer data," IRISS Working Paper Series 2009-19, IRISS at CEPS/INSTEAD.
    6. Raihan, Selim & Ahmed, Mansur, 2016. "Spatial divergence of primary education development in Bangladesh through the lens of Education Development Index (EDI)," MPRA Paper 71177, University Library of Munich, Germany.
    7. repec:spr:soinre:v:132:y:2017:i:3:d:10.1007_s11205-016-1341-2 is not listed on IDEAS
    8. Jaya Krishnakumar & Florian Chávez-Juárez, 2016. "Estimating Capabilities with Structural Equation Models: How Well are We Doing in a ‘Real’ World?," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 129(2), pages 717-737, November.
    9. Leßmann, Ortrud, 2011. "Empirische Studien zum Capability Ansatz auf der Grundlage von Befragungen: Ein Überblick," UFZ Discussion Papers 4/2011, Helmholtz Centre for Environmental Research (UFZ), Division of Social Sciences (ÖKUS).
    10. Krishnakumar, Jaya & Ballon, Paola, 2008. "Estimating Basic Capabilities: A Structural Equation Model Applied to Bolivia," World Development, Elsevier, vol. 36(6), pages 992-1010, June.
    11. Tindara Addabbo & Maria Laura Di Tommaso & Anna Maccagnan, 2016. "Education Capability: A Focus on Gender and Science," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 128(2), pages 793-812, September.
    12. Cristian Ricardo Nogales Carvajal & Fátima Rico Encinas, 2015. "Efforts and inequality of opportunity in the Bolivian labor market," Investigación & Desarrollo 0115, Universidad Privada Boliviana, revised Jun 2015.
    13. Atika Pasha, 2015. "Regional Perspectives to the Multidimensional Poverty Index," Courant Research Centre: Poverty, Equity and Growth - Discussion Papers 188, Courant Research Centre PEG.
    14. Soumaya HERGLI, 2016. "The Impact Of Ifrs Norms On Internal Governance Mechanisms With Regard To Socio-Economic Context," Management and Marketing Journal, University of Craiova, Faculty of Economics and Business Administration, vol. 0(2), pages 243-263, November.
    15. Luisa Corrado & Giuseppe De Michele, 2016. "Mind the Gap: Identifying Latent Objective and Subjective Multi-dimensional Indices of Well-Being," CEIS Research Paper 386, Tor Vergata University, CEIS, revised 24 Jun 2016.
    16. Marco d’Errico & Rebecca Pietrelli, 2017. "Resilience and child malnutrition in Mali," Food Security: The Science, Sociology and Economics of Food Production and Access to Food, Springer;The International Society for Plant Pathology, vol. 9(2), pages 355-370, April.
    17. Pasha, Atika, 2017. "Regional Perspectives on the Multidimensional Poverty Index," World Development, Elsevier, vol. 94(C), pages 268-285.
    18. Belhadj, Besma, 2012. "New weighting scheme for the dimensions in multidimensional poverty indices," Economics Letters, Elsevier, vol. 116(3), pages 304-307.
    19. Paula Rodríguez-Modroño & Lina Gálvez-Muñoz & Mauricio Matus-López & Mónica Domínguez-Serrano, 2013. "A gender analysis of children’s well-being and capabilities through time use data," Department of Economics (DEMB) 0009, University of Modena and Reggio Emilia, Department of Economics "Marco Biagi".
    20. Dossè Mawussi DJAHINI-AFAWOUBO, 2017. "Working Paper 267 - Does Access to Basic Services Matter for Child Health? Evidence From Togo," Working Paper Series 2384, African Development Bank.

    More about this item

    Keywords

    Principal components; Factor analysis; Structural equation models; Latent variables; Human development; C3; C43; I32; O15;

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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