Additional file 4 of Optimal target of LDL cholesterol level for statin treatment: challenges to monotonic relationship with cardiovascular events
Additional file 4: Figure S1. The cumulative martingale residuals (blue, thick line) plotted against 10-mg/dl LDL-C levels above the threshold value set by each model to check the linearity assumption in the Cox models, accompanied by 1000 resampled zero-mean random Gaussian processes (black, thin l...
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| creator | Sakuma, Masashi Iimuro, Satoshi Shinozaki, Tomohiro Kimura, Takeshi Nakagawa, Yoshihisa Ozaki, Yukio Iwata, Hiroshi Miyauchi, Katsumi Daida, Hiroyuki Suwa, Satoru Sakuma, Ichiro Nishihata, Yosuke Saito, Yasushi Ogawa, Hisao Matsuzaki, Masunori Ohashi, Yasuo Taguchi, Isao Toyoda, Shigeru Inoue, Teruo Nagai, Ryozo |
| description | Additional file 4: Figure S1. The cumulative martingale residuals (blue, thick line) plotted against 10-mg/dl LDL-C levels above the threshold value set by each model to check the linearity assumption in the Cox models, accompanied by 1000 resampled zero-mean random Gaussian processes (black, thin lines). If the relationship between LDL-C above the threshold and event hazards is actually linear in the Cox model (i.e., the linearity assumption holds), the cumulative sum of martingale residuals will approximately follow the zero-mean Gaussian process and fluctuate randomly. The supremum of the cumulative martingale residuals along the LDL-C levels can be tested against the suprema from randomly sampled zero-mean Gaussian processes. A small p-value from this resampling-based test would provide evidence against the linearity assumption. |
| doi_str_mv | 10.6084/m9.figshare.21550950 |
| format | Video |
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The cumulative martingale residuals (blue, thick line) plotted against 10-mg/dl LDL-C levels above the threshold value set by each model to check the linearity assumption in the Cox models, accompanied by 1000 resampled zero-mean random Gaussian processes (black, thin lines). If the relationship between LDL-C above the threshold and event hazards is actually linear in the Cox model (i.e., the linearity assumption holds), the cumulative sum of martingale residuals will approximately follow the zero-mean Gaussian process and fluctuate randomly. The supremum of the cumulative martingale residuals along the LDL-C levels can be tested against the suprema from randomly sampled zero-mean Gaussian processes. A small p-value from this resampling-based test would provide evidence against the linearity assumption.</abstract><pub>figshare</pub><doi>10.6084/m9.figshare.21550950</doi><oa>free_for_read</oa></addata></record> |
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| title | Additional file 4 of Optimal target of LDL cholesterol level for statin treatment: challenges to monotonic relationship with cardiovascular events |
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