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Latent variable modeling of disability in people aged 65 or more

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Abstract

This paper aims at classifying, on the basis of their disability profile, the population of elderly and quantifying the number of those with a very low level of functioning in a central region of Italy. This is accomplished using a set of variables on the difficulty of accomplishing everyday tasks (Activities of Daily Living, ADL) and functions. This issue is very important for National and Local Health organizations in order to evaluate the need for care, planning services, elaborating policies and allocating resources. Latent class models are applied on data coming from the Italian National Survey on Health Conditions and Appeal to Medicare to extract the latent trait of disability and classify the elder population according to their disability profile. Model selection brings to a classification into four latent classes. Looking at posterior probabilities, classes may be interpreted as follows: elderly without disability, with difficulties in movements, with difficulties in movements and daily tasks, with very low functioning level. Estimates of the amount of population aged 65 or more falling in each class is also provided. Cross-validation shows evidence of the robustness of such classification. Item response theory models are also applied to the items considered to study how functions are lost with increasing levels of disability. In particular, the abilities of climbing stairs and stooping down are those lost first, while those of eating and getting washed are those lost last.

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References

  • Bond T, Fox C (2007) Applying the Rasch model: fundamental measurement in the human sciences, 2nd edn. Lawrence Erlbaum Associates, Inc, Mahwah

    Google Scholar 

  • Breslau N, Reboussin BA, Anthony J, Storr CL (2005) The structure of posttraumatic stress disorder. Arch Gen Psychiatry 62(4): 1343–1351

    Article  Google Scholar 

  • Cabrero-Garcìa J, Lòpez-Pina JA (2008) Aggregated measures of functional disability in a nationally representative sample of disabled people: analysis of dimensionality according to gender and severity of disability. Qual Life Res 17: 425–436

    Article  Google Scholar 

  • Crialesi R (2008) Statistica pubblica e sanità: problemi aperti e nuove sfide. Nona conferenza nazionale di statistica, Roma, 15–16 dicembre, 2008

  • Davier M (1994) Winmira: a windows program for analyses with the Rasch model, with the latent class model, and with the mixed Rasch model. Institute for Science Education, Kiel

    Google Scholar 

  • Dempster A, Laird N, Rubin D (1977) Maximum likelihood from incomplete data via the EM algorithm. J Roy Stat Soc B 39: 1–38

    MATH  MathSciNet  Google Scholar 

  • Deville JC, Särndal CE (1992) Calibration estimators in survey sampling. J Am Stat Assoc 87: 376–382

    Article  MATH  Google Scholar 

  • D’Uva T (2005) Latent class models for utilisation of health care. Health Econ 15(4): 329–343

    Article  Google Scholar 

  • Erosheva EA (2002) Grade of membership and latent structure models With application to disability survey data. Department of Statistics, Carnegie Mellon University, Pittsburgh, PA, Phd Dissertation

  • Fischer G, Molenaar I (1995) Rasch models: foundations, recent developments and applications. Springer, New York

    MATH  Google Scholar 

  • Goodman LA (1974) Exploratory latent structure analysis using both identifiable and unidentifiable models. Biometrika 61: 215–231

    Article  MATH  MathSciNet  Google Scholar 

  • Holland P, Wainer H (1993) Differential item functioning. Lawrence Erlbaum, Hillsdale

    Google Scholar 

  • ISTAT (2002) Le condizioni di salute della popolazione. Indagine multiscopo sulle famiglie “Condizioni di salute e ricorso ai servizi sanitari. Anni 1999–2000”. Informazioni 12

  • ISTAT (2004) L’assistenziale residenziale: regioni a confronto. Anno 2000. Informazioni 14

  • Lazarsfeld P, Henry N (1968) Latent structure analysis. Houghton Mifflin, Boston

    MATH  Google Scholar 

  • Li F, Fisher KJ, Harmer P, McAuley E, Wilson NL (2003) Fear of falling in elderly persons: association with falls, functional ability, and quality of life. J Gerontology Ser B 58: 283–290

    Google Scholar 

  • Linacre JM, Wright BD (1998) A user’s guide to winsteps: Rasch-model computer program. Ill: Mesa Press, Chicago

    Google Scholar 

  • Linacre JM, Heinemann AW, Wright BD, Granger CV, Hamilton BB (1994) The structure and stability of the functional independence measure. Arch Phys Med Rehabil 75: 127–132

    Google Scholar 

  • Masters GN (1982) A Rasch model for partial credit scoring. Psychometrika 47: 149–174

    Article  MATH  Google Scholar 

  • Olsson U, Drasgow F, Dorans N (1982) The polyserial correlation coefficient. Psychometrika 47: 337–347

    Article  MATH  MathSciNet  Google Scholar 

  • Poss J, Hirdes J, Fries B, McKillop I, Chase M (2008) Validation of resource utilization groups version III for home care (RUG-III/HC): evidence from a Canadian home care jurisdiction. Med Care 46: 380–387

    Article  Google Scholar 

  • Rasch G (1960) Probabilistic models for some intelligence and attainment tests. The Danish Institute of Educational Research, Copenhagen

    Google Scholar 

  • Stineman MG, Ross RN, Fiedler R, Granger CV, Maislin G (2003) Functional independence staging: conceptual foundation, face validity, and empirical derivation. Arch Phys Med Rehabil 8: 29–37

    Article  Google Scholar 

  • Szatmari P, Volkmar F, Walter S (1995) Evaluation of diagnostic criteria for autism using latent class models. J Am Acad Child Adolesc Psychiatry 34(2): 216–222

    Article  Google Scholar 

  • Tennant A, Penta M, Tesio L, Grimby G, Thonnard JL, Slade A, Lawton G, Simone A, Carter J, Lundgren-Nilsson A, Tripolski M, Ring H, Biering-Sorensen F, Marincek C, Burger H, Phillips S (2004) Assessing and adjusting for cross-cultural validity of impairment and activity limitation scales through differential item functioning within the framework of the Rasch model: the PRO-ESOR project. Med Care 42: 37–48

    Article  Google Scholar 

  • Teresia J, Albert SM, Holmes D, Mayeux R (1999) Use of latent class analyses for the estimation of prevalence of cognitive impairment, and signs of stroke and Parkinson’s disease among African-American elderly of central Harlem: results of the harlem aging project. Neuroepidemiology 18: 309–321

    Article  Google Scholar 

  • Tesio L, Granger C, Perucca L, Franchignoni FP, Battaglia MA, Russell CF (2002) The FIM instrument in the United States and Italy: a comparative study. Am J Phys Med Rehabil 81: 168–176

    Article  Google Scholar 

  • Wright B (1996) Local dependency, correlations and principal components. Rasch Meas Trans 10(3): 509–511

    Google Scholar 

  • Wright BD, Masters GN (1982) Rating scale analysis. Meta Press, Chicago

    Google Scholar 

  • Zweig M, Campbell G (1993) Receiver-operating characteristic (ROC) plots: a fundamental evaluation tool in clinical medicine. Clin chem 39(8): 561–577

    Google Scholar 

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Correspondence to M. Giovanna Ranalli.

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The work reported here was supported by a grant awarded to the Department of Economics, Finance and Statistics of the University of Perugia by the Regione Umbria.

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Montanari, G.E., Ranalli, M.G. & Eusebi, P. Latent variable modeling of disability in people aged 65 or more. Stat Methods Appl 20, 49–63 (2011). https://doi.org/10.1007/s10260-010-0148-6

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