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Docetaxel with prednisone or prednisolone for the treatment of ...

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122<br />

Appendix 5<br />

Step 4. Calculate HR<br />

HR = exp[ln(HR)]<br />

= exp(0.052094) = 1.053474<br />

Step 5. Calculate <strong>the</strong> variance <strong>of</strong> ln(HR),<br />

var[ln(HR)]:<br />

var[ln(HR)] = 1/V<br />

Var[ln(HR)] = 1/31.5 = 0.0317<br />

Step 6. Calculate <strong>the</strong> 95% CI f<strong>or</strong> HR:<br />

95% CI = exp{ln(HR) ± 1.96 × √ –––––––––––<br />

var[ln(HR)]}<br />

95% CI = exp[0.052094 ± 1.96 × √ –––––––<br />

0.0317]<br />

95% CI = 0.747 to 1.494<br />

Theref<strong>or</strong>e, <strong>the</strong> HR f<strong>or</strong> death in this example is<br />

1.05 (95% CI: 0.747 to 1.494).

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