For the proportional hazards model ln[(????)] = ln[0(????)] + ????1????1 + ????2????2, suppose that ????1 = 0.73

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For the proportional hazards model ln[ℎ(????)] = ln[ℎ0(????)] + ????1????1 + ????2????2, suppose that ˆ????1 = −0.73 and ????????(ˆ????1) = 0.26.

(a) Test ????0 ∶ ????1 = 0 at the ???? = 0.05 level. Be sure to compute the ????-value for this

(b) Compute a 95% confidence interval for ????1.

(c) Estimate the risk ratio associated with a one unit increase in ????1 when ????2 is held fixed.

(d) Compute a 95% confidence interval for the risk ratio associated with a one unit increase in ????1 when ????2 is held fixed.

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