Zhu Wang’s scientific contributions

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Publications (2)


Figure 1: Distribution of risk of the outcome among scenarios for which the calculated odds ratio and confidence interval coincide with the published values.  
Figure 2: Distribution of relative risk among scenarios for which the calculated odds ratio and confidence interval coincide with the published values.  
Converting Odds Ratio to Relative Risk in Cohort Studies with Partial Data Information
  • Article
  • Full-text available

October 2013

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848 Reads

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71 Citations

Journal of Statistical Software

Zhu Wang

In medical and epidemiological studies, the odds ratio is a commonly applied measure to approximate the relative risk or risk ratio in cohort studies. It is well known tha such an approximation is poor and can generate misleading conclusions, if the incidence rate of a study outcome is not rare. However, there are times when the incidence rate is not directly available in the published work. Motivated by real applications, this paper presents methods to convert the odds ratio to the relative risk when published data offers limited information. Specifically, the proposed new methods can convert the odds ratio to the relative risk, if an odds ratio and/or a confidence interval as well as the sample sizes for the treatment and control group are available. In addition, the developed methods can be utilized to approximate the relative risk based on the adjusted odds ratio from logistic regression or other multiple regression models. In this regard, this paper extends a popular method by Zhang and Yu (1998) for converting odds ratios to risk ratios. The objective is novelly mapped into a constrained nonlinear optimization problem, which is solved with both a grid search and a nonlinear optimization algorithm. The methods are implemented in R package orsk which contains R functions and a Fortran subroutine for efficiency. The proposed methods and software are illustrated with real data applications.

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Figure 1: Oxygen isotope series.
Figure 3: Model diagnostics for the oxygen isotope series.
Figure 4: Measurements of the lung function.
Figure 6: Components of the lung function measurements. From top to bottom: trend component, diurnal component, and approximate white noise component.
cts: An R Package for Continuous Time Autoregressive Models via Kalman Filter

April 2013

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744 Reads

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24 Citations

Journal of Statistical Software

We describe an R package cts for fitting a modified form of continuous time autore-gressive model, which can be particularly useful with unequally sampled time series. The estimation is based on the application of the Kalman filter. The paper provides the meth-ods and algorithms implemented in the package, including parameter estimation, spectral analysis, forecasting, model checking and Kalman smoothing. The package contains R functions which interface underlying Fortran routines. The package is applied to geophys-ical and medical data for illustration.

Citations (2)


... Specifically, it uses the OR as the primary epidemiological measure and aligns it with the commonly used BMD modeling framework for regulatory risk assessment. The objective of this study is to investigate and compare two approaches: the "effective count" based BMD modeling approach (Allen et al., 2020b), combined with the Wang algorithm (Wang, 2013), and the adjusted OR-based BMD analysis approach (Shao et al., 2021). ...

Reference:

Benchmark dose modeling for epidemiological dose–response assessment using case‐control studies
Converting Odds Ratio to Relative Risk in Cohort Studies with Partial Data Information

Journal of Statistical Software

... There are several packages that address continuous time (SDE) models in R, most of them focusing on single topic issues. These include sde [21], yuima [4], cts [39], and ctsem for more complex continuous time models [12]. Here we used the package Sim.DiffProc [18], which allows us to simulate, estimate and analyse the dynamics of stochastic systems using both symbolic and numerical computation. ...

cts: An R Package for Continuous Time Autoregressive Models via Kalman Filter

Journal of Statistical Software