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Table 5 Failure time distributions, assumptions and covariate effects included in the data-generating mechanisms for each article

From: A scoping methodological review of simulation studies comparing statistical and machine learning approaches to risk prediction for time-to-event data

 

Failure Times

 

Distribution

Assumptions

Covariate effects

 

Exponential

Weibull

Gamma

PH

PO

Non-PH

Null effects

Linear

Quadratic covariates

Non-linear

Time-dependent

Geng et al. (2014) [26]

   

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✓ *

 

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Golmakani et al. (2020) [31]

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Gong et al. (2018) [27]

 

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✓ **

 

Hu and Steingrimsson (2018) [28]

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Katzman et al. (2018) [29]

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✓ ***

 

Lowsky et al. (2012)**** [25]

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Omurlu et al. (2009) [24]

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Steingrimsson and Morrison (2020) [32]

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Wang and Li (2019) [30]

 

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✓ *****

 

Xiang et al. (2000) [23]

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  1. *Geng et al. (2014) [26] included a specific crossing hazards data-generating mechanism
  2. **Gong et al. (2018) [27] take the exponential of the first covariate squared and cos transform second covariate; covariate coefficients were also obtained for the clinically relevant data-generating mechanisms by fitting each of the predefined models to clinical data
  3. ***Katzman et al. (2018) [29] use a Gaussian distribution for the linear predictor and include quadratic effects for both covariates
  4. ****Lowsky et al. (2012) [25] fit an exponential model to the clinical data to obtain estimates for the covariate coefficients to use in simulating the failure times
  5. *****Wang and Li (2019) [30] transform the covariates by a radial basis kernel