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Relative risks for stroke by age, sex and population based on follow-up of 18 European populations in the MORGAM Project: supplement to a paper published in Stroke

Juha Karvanen1, Sangita Kulathinal2, Kari Kuulasmaa1, Simona Giampaoli3, Pekka Jousilahti1, Matti Niemelä1 and Kjell Asplund4, for the MORGAM Project5

1 Department of Chronic Disease Prevention, National Institute for Health and Welfare, Helsinki, Finland
2
Indic Society for Education and Development (INSEED), Nashik, India
3 National Centre for Epidemiology, Surveillance and Health Promotion,
Istituto Superiore di Sanità, Rome, Italy
4 Department of Public Health and Clinical Medicine, Medical Unit, Umeå University
Hospital, Sweden
5 See Annex for the sites and key personnel of contributing MORGAM Centres


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Last updated: 18 March 2009
For more information, please contact Juha Karvanen (firstname.lastname@thl.fi)

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Contents

1. Introduction

This document is a supplement to the manuscript Relative risks for stroke by age, sex and population based on follow-up of 18 European populations in the MORGAM project [1]. The supplement presents the details of the methods and the results of the analysis.

2. Definition of variables

The variables used in the analysis are defined in detail in the MORGAM Manual [2]. The names of the variables and hyperlinks to their definitions  are:

Variable MISSINGDATA has value 1 if at least one of the variables STROKE1, STRTIME1, BPM, BMI, DSMOKER, HDLA, and BASECVD2 has a missing value and value 0 otherwise. Percentages of risk factor measurements by population are given in Table 1.

3. Statistical models

Main hypotheses

The effect of risk factors to stroke was compared between regions, between men and women and between age-groups. The following main hypotheses were tested using likelihood ratio tests:

  1. There is no difference in the effect of risk factors between regions.
    The data are grouped into five regions: Nordic, Central, UK, France and Italy.
  2. There is no difference in the effect of risk factors between men and women.
  3. There is no difference in the effect of risk factors between age-groups.
    The data are divided into four age-groups: < 45 years, 45 - 55 years, 55 - 65 years and > 65 years.

The testing of the hypotheses is explained in detail in Appendix 1.

Model building and model checking

Covariates in the model

On the basis of the earlier research, AGE1, BPM , BMI, DSMOKER, HDLA and NONHDL were specified as potential covariates. The regression coefficient for NONHDL was estimated to be zero and NONDHL was dropped from the model.

Proportionality

The validity of the proportional hazards assumption was tested using R function cox.zph [4]. Table 2 indicates that covariate BPM does not follow proportional hazards assumption. However, the correlation between between the transformed survival time and the scaled Schoenfeld residuals of BPM is only -0.05, which is quite close to zero. Therefore, all covariates, including BPM, have a linear effect to log-hazard in our models.

 
Table 2. Test for proportional hazards assumption1
  rho chisq p
age1 0.00716 0.161 0.68798
bpm -0.05363 9.865 0.00168
bmi -0.00254 0.022 0.88211
dsmoker1TRUE -0.03589 3.909 0.04804
hdla 0.01621 0.963 0.32651
GLOBAL NA 15.333 0.00903

1 based on model: coxph(formula = Surv(strtime1, stroke1 %in% c("1", "2")) ~ age1 + bpm + bmi + dsmoker1 + hdla + strata(rua) + strata(sex), data = f31i, subset = ((basecvd2 == 2) & !missingdata))

 

Interactions

The three main hypotheses are all hypotheses on the interactions. No additional interactions were tested or modelled.

Details of the models and results

The models are specified in tabular format where each row summarizes one model. Column "Model summary" gives a three-letter identification code with a link to the R output [3]. Column "Main effects" lists covariates that are included without interactions. Column "Interaction covariates" lists covariates that are included with interactions with the variables listed in the column "Interaction groups". Column "Strata" gives the stratifying variables in the proportional hazards model. Separate baseline hazards are allowed for categories of the stratifying variables. Column "Subset" presents the inclusion criteria for the subjects in the analysis. Column "Outcome" defines the endpoint event. The model summaries use the R syntax, which is explained in Table 3.

Table 3. R syntax for model summaries.

Notation Explanation
BASECVD2==2 the value of variable BASECVD2 equals to 2.
& and (logical operator)
| or (logical operator)
! not (logical operator)
STROKE1 %IN% C('1','2') the value of variable STROKE1 belongs to the set containing values 1 and 2.

Main models (STROKE1)

Models for difference between men and women

Models for difference between regions

Models for difference between age groups

Main models for fatal strokes (STROKE2)

Main models for likely cerebral infarction (STROKE3)

Comparison of models (p-values can be found here)

Figures additional to those published in Stroke

Figure 1.  Hazard ratios for fatal stroke during follow-up of men and women free of cardiovascular disease at baseline shown for 5 European regions and all MORGAM populations together. The horizontal lines represent 95% confidence intervals of the estimates. [png | eps]

Figure 2.  Hazard ratios for ischaemic stroke during follow-up of men and women free of cardiovascular disease at baseline shown for 5 European regions and all MORGAM populations together. The horizontal lines represent 95% confidence intervals of the estimates. [png | eps]

Acknowledgements

This research was part funded through the European Community's Seventh Framework Programme (FP7/2007-2013),  ENGAGE project, grant agreement HEALTH-F4-2007-201413.

References

  1. Asplund K, Karvanen J, Giampaoli S, Jousilahti P, Niemelä M, Broda G, Cesana G, Dallongeville J, Ducimetriere P, Evans A, Ferrières J, Haas B, Jorgensen T, Tamosiunas A, Vanuzzo D, Wiklund PG, Yarnell J, Kuulasmaa K, Kulathinal S, for the MORGAM Project. Relative risks for stroke by age, sex and population based on follow-up of 18 European populations in the MORGAM Project. Stroke. In Press.
  2. MORGAM Project. MORGAM Manual. (2001-). Available from URL:http://www.ktl.fi/publications/morgam/manual/contents.htm, URN:NBN:fi-fe20041529.
  3. R Development Core Team. R: A language and environment for statistical computing: R Foundation for Statistical Computing, Vienna, Austria; 2008. Available from URL: http://www.R-project.org
  4. Grambsch P, Therneau T. Proportional hazards tests and diagnostics based on weighted residuals. Biometrika 1994;81:515-26.