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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
  • A. Nagar

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  • 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. Rahman, Tauhidur & Mittelhammer, Ronald C. & Wandschneider, Philip R., 2003. "A Sensitivity Analysis Of Quality Of Life Indices Across Countries," 2003 Annual meeting, July 27-30, Montreal, Canada 22045, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    2. Stephen Klasen, 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.
    3. Sara Lelli, 2001. "Factor Analysis vs. Fuzzy Sets Theory: Assessing the Influence of Different Techniques on Sen's Functioning Approach," Public Economics Working Paper Series ces0121, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
    4. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    5. 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.
    6. Bengt Muthén, 1984. "A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators," Psychometrika, Springer;The Psychometric Society, vol. 49(1), pages 115-132, March.
    7. 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.
    8. 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.
    9. Basudeb Biswas & Frank Caliendo, 2002. "A Multivariate Analysis of the Human Development Index," Working Papers 2002-11, Utah State University, Department of Economics.
    10. 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.
    11. Tauhidur Rahman & Ron C. Mittelhammer & Philip Wandschneider, 2005. "Measuring the Quality of Life Across Countries: a Sensitivity Analysis of Well-Being Indices," WIDER Working Paper Series RP2005-06, World Institute for Development Economic Research (UNU-WIDER).
    12. 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.
    13. 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.
    14. 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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    More about this item

    Keywords

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

    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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