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Volumn 23, Issue 4, 2012, Pages 583-593

Addressing the identification problem in age-period-cohort analysis: A tutorial on the use of partial least squares and principal components analysis

Author keywords

[No Author keywords available]

Indexed keywords

AGE; BODY HEIGHT; CANCER MORTALITY; COHORT ANALYSIS; HUMAN; LIVER CELL CARCINOMA; MALE; PARTIAL LEAST SQUARES REGRESSION; PRINCIPAL COMPONENT ANALYSIS; PRIORITY JOURNAL; REVIEW; SCREENING; TAIWAN;

EID: 84862800328     PISSN: 10443983     EISSN: 15315487     Source Type: Journal    
DOI: 10.1097/EDE.0b013e31824d57a9     Document Type: Review
Times cited : (48)

References (50)
  • 1
    • 0020397266 scopus 로고
    • Age, period and cohort models applied to cancer mortality rates
    • Osmond C, Gardner MJ. Age, period and cohort models applied to cancer mortality rates. Statist Med. 1982;1:245-259.
    • (1982) Statist Med , vol.1 , pp. 245-259
    • Osmond, C.1    Gardner, M.J.2
  • 2
    • 0025811340 scopus 로고
    • Understanding the effects of age, period, and cohort on incidence and mortality rates
    • Holford TR. Understanding the effects of age, period, and cohort on incidence and mortality rates. Annu Rev Public Health. 1991;12:425-457.
    • (1991) Annu Rev Public Health , vol.12 , pp. 425-457
    • Holford, T.R.1
  • 3
    • 0033153187 scopus 로고    scopus 로고
    • Age-period-cohort models: A comparative study of available methodologies
    • Robertson C, Gandini S, Boyle P. Age-period-cohort models: a comparative study of available methodologies. J Clin Epidemiol. 1999;52:569-583.
    • (1999) J Clin Epidemiol , vol.52 , pp. 569-583
    • Robertson, C.1    Gandini, S.2    Boyle, P.3
  • 6
    • 0030526606 scopus 로고    scopus 로고
    • Modelling the age-period-cohort trend surface
    • Lee WC, Lin RS. Modelling the Age-Period-Cohort Trend Surface. Biom J. 1996;38:97-106.
    • (1996) Biom J , vol.38 , pp. 97-106
    • Lee, W.C.1    Lin, R.S.2
  • 7
    • 77951245008 scopus 로고    scopus 로고
    • What is a cohort effect? Comparison of three statistical methods for modeling cohort effects in obesity prevalence in the United States, 1971-2006
    • Keyes KM, Utz RL, Robinson W, Li G. What is a cohort effect? Comparison of three statistical methods for modeling cohort effects in obesity prevalence in the United States, 1971-2006. Soc Sci Med. 2010;70:1100-1108.
    • (2010) Soc Sci Med , vol.70 , pp. 1100-1108
    • Keyes, K.M.1    Utz, R.L.2    Robinson, W.3    Li, G.4
  • 8
    • 77956262980 scopus 로고    scopus 로고
    • A multiphase method for estimating cohort effects in age-period contingency table data
    • Keyes KM, Li G. A multiphase method for estimating cohort effects in age-period contingency table data. Ann Epidemiol. 2010;20:779-85.
    • (2010) Ann Epidemiol , vol.20 , pp. 779-785
    • Keyes, K.M.1    Li, G.2
  • 9
    • 84925897371 scopus 로고
    • Cohort analysts' futile quest: Statistical attempts to separate age, period, and cohort effects
    • Glenn ND. Cohort analysts' futile quest: statistical attempts to separate age, period, and cohort effects. Am Sociol Rev. 1976;41:900-905.
    • (1976) Am Sociol Rev , vol.41 , pp. 900-905
    • Glenn, N.D.1
  • 10
    • 0141933399 scopus 로고    scopus 로고
    • Distinguishing age period and cohort effects
    • Mortimer JT Shanahan MJ eds New York: Kluwer Academic
    • Glenn ND. Distinguishing age, period, and cohort effects. In: Mortimer JT, Shanahan MJ, eds. Handbook of the Life Course New York: Kluwer Academic; 2003;465-476.
    • (2003) Handbook of the Life Course , pp. 465-476
    • Glenn, N.D.1
  • 11
    • 0020109335 scopus 로고
    • Age, period, and cohort effects in demography: A review
    • Hobcraft J, Menken J, Preston S. Age, period, and cohort effects in demography: a review. Popul Index. 1982;48:4-43.
    • (1982) Popul Index , vol.48 , pp. 4-43
    • Hobcraft, J.1    Menken, J.2    Preston, S.3
  • 12
    • 16244369741 scopus 로고    scopus 로고
    • A methodological comparison of age-periodcohort models: The intrinsic estimator and conventional generalized linear models
    • Yang Y, Fu WJ, Land KC. A methodological comparison of age-periodcohort models: the intrinsic estimator and conventional generalized linear models. Socio Meth. 2004;34:75-110.
    • (2004) Socio Meth , vol.34 , pp. 75-110
    • Yang, Y.1    Fu, W.J.2    Land, K.C.3
  • 13
    • 49249099187 scopus 로고    scopus 로고
    • The intrinsic estimator for age-period-cohort analysis: What it is and how to use it?
    • Yang Y, Schulhofer-Wohl S, Fu WJ, Land KC. The intrinsic estimator for age-period-cohort analysis: what it is and how to use it? Am J Sociol. 2008;113:1697-1736.
    • (2008) Am J Sociol , vol.113 , pp. 1697-1736
    • Yang, Y.1    Schulhofer-Wohl, S.2    Fu, W.J.3    Land, K.C.4
  • 14
    • 39449135159 scopus 로고    scopus 로고
    • A smoothing cohort model in age-period-cohort analysis with applications to homicide arrest rates and lung cancer mortality rates
    • Fu WJ. A smoothing cohort model in age-period-cohort analysis with applications to homicide arrest rates and lung cancer mortality rates. Socio Meth. 2008;38:327-361.
    • (2008) Socio Meth , vol.38 , pp. 327-361
    • Fu, W.J.1
  • 15
    • 0009262272 scopus 로고
    • A note on a generalized inverse of a matrix with applications to problems in mathematical statistics
    • Rao CR. A note on a generalized inverse of a matrix with applications to problems in mathematical statistics. J Roy Stat Soc Ser B. 1962;24: 152-158.
    • (1962) J Roy Stat Soc ser B , vol.24 , pp. 152-158
    • Rao, C.R.1
  • 17
    • 79955678293 scopus 로고    scopus 로고
    • Boca Raton: Chapman and Hall
    • Khuri AI. Linear Model Methodology. Boca Raton: Chapman and Hall; 2010: pp. 179-224.
    • (2010) Linear Model Methodology , pp. 179-224
    • Khuri, A.I.1
  • 19
    • 0002555784 scopus 로고
    • The multivariate calibration problem in chemistry solved by the PLS method
    • Berlin: Springer
    • Wold S, Martens H, Wold H. The multivariate calibration problem in chemistry solved by the PLS method. In: Proceedings of the Conference on Matrix Pencils. Berlin: Springer; 1983:286-293.
    • (1983) Proceedings of the Conference on Matrix Pencils , pp. 286-293
    • Wold, S.1    Martens, H.2    Wold, H.3
  • 20
    • 0000818474 scopus 로고
    • Continuum regression: Cross-validated sequentially constructed prediction embracing ordinary least squares, partial least squares and principal components regression
    • Stone M, Brooks RJ. Continuum regression: cross-validated sequentially constructed prediction embracing ordinary least squares, partial least squares and principal components regression. J Royal Stat Soc B. 1990;52:237-269.
    • (1990) J Royal Stat Soc B , vol.52 , pp. 237-269
    • Stone, M.1    Brooks, R.J.2
  • 22
    • 0642315270 scopus 로고    scopus 로고
    • The geometry of partial least squares
    • Phatak A, de Jong S. The geometry of partial least squares. J Chemometrics. 1997;11:311-338.
    • (1997) J Chemometrics , vol.11 , pp. 311-338
    • Phatak, A.1    De Jong, S.2
  • 23
    • 77953958931 scopus 로고    scopus 로고
    • Assessing the impact of body size in childhood and adolescence: An application of partial least squares regression
    • Tu YK, Woolston A, Baxter PD, Gilthorpe MS. Assessing the impact of body size in childhood and adolescence: an application of partial least squares regression. Epidemiology. 2010;21:440-448.
    • (2010) Epidemiology , vol.21 , pp. 440-448
    • Tu, Y.K.1    Woolston, A.2    Baxter, P.D.3    Gilthorpe, M.S.4
  • 25
    • 80051699732 scopus 로고    scopus 로고
    • Constrained estimators and age-period-cohort models
    • O'Brien RM. Constrained Estimators and Age-Period-Cohort Models. Sociol Method Res. 2011;40:419-452.
    • (2011) Sociol Method Res , vol.40 , pp. 419-452
    • O'Brien, R.M.1
  • 27
    • 0027675844 scopus 로고
    • Partial least squares modeling as successive singular value decompositions
    • Kaspar MH, Ray WH. Partial least squares modeling as successive singular value decompositions. Comput Chem Eng. 1993;17:985-989.
    • (1993) Comput Chem Eng , vol.17 , pp. 985-989
    • Kaspar, M.H.1    Ray, W.H.2
  • 28
  • 29
    • 0347243182 scopus 로고    scopus 로고
    • Nonlinear component analysis as a kernel eigenvalue problem
    • Schölkopf B, Smola A, Müller KR. Nonlinear component analysis as a kernel eigenvalue problem. Neural Comput. 1998;10:1299-1319.
    • (1998) Neural Comput , vol.10 , pp. 1299-1319
    • Schölkopf, B.1    Smola, A.2    Müller, K.R.3
  • 30
    • 80051704135 scopus 로고    scopus 로고
    • On the intrinsic estimator and constrained estimators in age-period-cohort models
    • Fu WJ, Land KC, Yang Y. On the intrinsic estimator and constrained estimators in age-period-cohort models. Sociol Method Res. 2011;40: 453-466.
    • (2011) Sociol Method Res , vol.40 , pp. 453-466
    • Fu, W.J.1    Land, K.C.2    Yang, Y.3
  • 31
    • 80051695051 scopus 로고    scopus 로고
    • Intrinsic estimators as constrained estimators in ageperiod-cohort accounting models
    • O'Brien RM. Intrinsic estimators as constrained estimators in ageperiod-cohort accounting models. Sociol Method Res. 2011;40:467-470.
    • (2011) Sociol Method Res , vol.40 , pp. 467-470
    • O'Brien, R.M.1
  • 32
    • 80054043809 scopus 로고    scopus 로고
    • The age-period-cohort conundrum as two fundamental problems
    • O'Brien RM. The age-period-cohort conundrum as two fundamental problems. Qual Quant. 2011;45:1429-1444.
    • (2011) Qual Quant , vol.45 , pp. 1429-1444
    • O'Brien, R.M.1
  • 33
    • 79955686236 scopus 로고    scopus 로고
    • A new approach to age-periodcohort analysis using partial least squares regression: The trend in blood pressure in the glasgow alumni cohort
    • Tu Y-K, Davey Smith G, Gilthorpe MS. A new approach to age-periodcohort analysis using partial least squares regression: the trend in blood pressure in the glasgow alumni cohort. PLoS ONE. 2011;6:e19401.
    • (2011) PLoS ONE , vol.6
    • Tu, Y.-K.1    Davey Smith, G.2    Gilthorpe, M.S.3
  • 34
    • 79957491412 scopus 로고    scopus 로고
    • Unravelling the effects of age, period and cohort on metabolic syndrome components in a Taiwanese population using partial least squares regression
    • Tu YK, Chien KL, Burley V, Gilthorpe MS. Unravelling the effects of age, period and cohort on metabolic syndrome components in a Taiwanese population using partial least squares regression. BMC Med Res Methodol. 2011;11:82.
    • (2011) BMC Med Res Methodol , vol.11 , pp. 82
    • Tu, Y.K.1    Chien, K.L.2    Burley, V.3    Gilthorpe, M.S.4
  • 35
    • 45949095467 scopus 로고    scopus 로고
    • All-cause mortality attributable to chronic kidney disease: A prospective cohort study based on 462,293 adults in Taiwan
    • Wen CP, Cheng TY, Tsai MK, et al. All-cause mortality attributable to chronic kidney disease: a prospective cohort study based on 462,293 adults in Taiwan. Lancet. 2008;371:2173-2182.
    • (2008) Lancet , vol.371 , pp. 2173-2182
    • Wen, C.P.1    Cheng, T.Y.2    Tsai, M.K.3
  • 36
    • 0028487712 scopus 로고
    • Health, height, and history: An overview of recent developments in anthropometric history
    • Harris B. Health, height, and history: an overview of recent developments in anthropometric history. Soc Hist Med. 1994;7:297-330.
    • (1994) Soc Hist Med , vol.7 , pp. 297-330
    • Harris, B.1
  • 37
    • 0033855026 scopus 로고    scopus 로고
    • Secular trends in growth
    • Cole TJ. Secular trends in growth. Proc Nutr Soc. 2000;59:317-324.
    • (2000) Proc Nutr Soc , vol.59 , pp. 317-324
    • Cole, T.J.1
  • 38
    • 0026229257 scopus 로고
    • Age changes in adult stature: Trend estimation from mixed longitudinal data
    • Chandler PJ, Bock RD. Age changes in adult stature: trend estimation from mixed longitudinal data. Ann Hum Biol. 1991;18:433-440.
    • (1991) Ann Hum Biol , vol.18 , pp. 433-440
    • Chandler, P.J.1    Bock, R.D.2
  • 40
    • 33846829987 scopus 로고    scopus 로고
    • The pls package: Principal component and partial least squares regression in R
    • Mevik B-H, Wehrens R. The pls package: principal component and partial least squares regression in R. J Stat Software. 2007;18:1-24.
    • (2007) J Stat Software , vol.18 , pp. 1-24
    • Mevik, B.-H.1    Wehrens, R.2
  • 41
    • 79960116378 scopus 로고    scopus 로고
    • The degrees of freedom of partial least squares regression
    • Krämer N, Sugiyama M. The degrees of freedom of partial least squares regression. J Am Stat Assoc. 2011;106:697-705.
    • (2011) J Am Stat Assoc , vol.106 , pp. 697-705
    • Krämer, N.1    Sugiyama, M.2
  • 42
    • 84862808580 scopus 로고
    • The multiple classification model in age-periodcohort analysis: Theoretical considerations
    • Chapel Hill, NC: University of North Carolina Institute of Statistics
    • Kupper LL. Janis JM. The multiple classification model in age-periodcohort analysis: theoretical considerations. Mimeo Series No. 1311. Chapel Hill, NC: University of North Carolina Institute of Statistics; 1980.
    • (1980) Mimeo Series No. 1311
    • Kupper, L.L.1    Janis, J.M.2
  • 43
    • 84862828440 scopus 로고    scopus 로고
    • Forecasting hepatocellular carcinoma mortality in Taiwan using an age-period-cohort model
    • 6 October 2011 Epub ahead of print doi:10.1177/1010539511422941. In Press
    • Tseng I-S, Lee W-C. Forecasting hepatocellular carcinoma mortality in Taiwan using an age-period-cohort model. Asia Pac J Public Health. 6 October 2011 Epub ahead of print, doi:10.1177/1010539511422941. In Press.
    • Asia Pac J Public Health
    • Tseng, I.-S.1    Lee, W.-C.2
  • 44
    • 16244390208 scopus 로고    scopus 로고
    • Mean squared error of prediction (MSEP) estimates for principal component regression (PCR) and partial least squares regression (PLSR)
    • Mevik BH, Cederkvist HR. Mean squared error of prediction (MSEP) estimates for principal component regression (PCR) and partial least squares regression (PLSR). J Chemometr. 2004;18:422-429.
    • (2004) J Chemometr , vol.18 , pp. 422-429
    • Mevik, B.H.1    Cederkvist, H.R.2
  • 45
    • 76349111180 scopus 로고    scopus 로고
    • Partial least squares regression and projection on latent structure regression (PLS regression)
    • Abdi H. Partial least squares regression and projection on latent structure regression (PLS regression). WIREs Comp Stat. 2010;2:97-106.
    • (2010) WIREs Comp Stat , vol.2 , pp. 97-106
    • Abdi, H.1
  • 46
    • 0030033503 scopus 로고    scopus 로고
    • Autoregressive age-period-cohort models
    • Lee WC, Lin RS. Autoregressive age-period-cohort models. Stat Med. 1996;15:273-281.
    • (1996) Stat Med , vol.15 , pp. 273-281
    • Lee, W.C.1    Lin, R.S.2
  • 47
    • 0022782542 scopus 로고
    • Age, period and cohort models: The use of individual records
    • Robertson C, Boyle P. Age, period and cohort models: the use of individual records. Stat Med. 1986;5:527-538.
    • (1986) Stat Med , vol.5 , pp. 527-538
    • Robertson, C.1    Boyle, P.2
  • 48
    • 0029093499 scopus 로고
    • Analysis of cancer rates using excess risk age-periodcohort models
    • Lee WC, Lin RS. Analysis of cancer rates using excess risk age-periodcohort models. Int J Epidemiol. 1995;24:671-677.
    • (1995) Int J Epidemiol , vol.24 , pp. 671-677
    • Lee, W.C.1    Lin, R.S.2
  • 49
    • 71149116763 scopus 로고    scopus 로고
    • Recent advances in age-period-cohort analysis. A commentary on Dregan and Armstrong, and on Reither, Hauser and Yang
    • Harding DJ. Recent advances in age-period-cohort analysis. A commentary on Dregan and Armstrong, and on Reither, Hauser and Yang. Soc Sci Med. 2009;69:1449-1451.
    • (2009) Soc Sci Med , vol.69 , pp. 1449-1451
    • Harding, D.J.1
  • 50
    • 33751265581 scopus 로고    scopus 로고
    • A mixed models approach to age-period-cohort analysis of repeated cross-section surveys: Trends in verbal test scores
    • Yang Y, Land KC. A mixed models approach to age-period-cohort analysis of repeated cross-section surveys: trends in verbal test scores. Socio Meth. 2006;36:75-97.
    • (2006) Socio Meth , vol.36 , pp. 75-97
    • Yang, Y.1    Land, K.C.2


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