关于HR值——what are hazard ratios
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Martin Duerden BMedSci DRCOG MRCGP DipTher DPH Medical Director,Conwy Local Health Board,North Wales;part-time GP in Gyffin,Conwy; Honorary Senior Lecturer in Prescribing and Therapeutics, Wales College of Medicine,Cardiff University
j j t j ,d j (Equation 1).1In this equation t 0=0 and S (0)=1.1
Equation 1.1
There is a clearly defined relationship
between S(t)and h(t),which is given by the
1
Hopefully the following dialogue will
make these concepts more accessible for most of us, who have more rudimentary mathematical skills.
Distinction from relative risk
In contrast to the hazard ratio, the relative risk ratio is a measure of how many events
What are hazard ratios?
What are
hazard ratios?
What are hazard ratios?
have occurred in a study expressed as a ratio of the proportion of events occurring in the treatment group compared with that in the control group. It is usually calculated at the end of the study and is quoted as having occurred over the average or median duration of the trial. One pitfall in
therapeutic trials is picking a point in time
data are not just used to describe the number of people who survive or die over a period of time. These data are increasingly being used in medical research and statistics to describe how many people can reach a certain point in time without experiencing a hazard or event other than death (for example, suffering a heart attack) – or conversely determining the What are
hazard ratios?
understand this it helps to look at an example. If a group of 1,000 patients are given a treatment and in Month 1, 20 die; then the hazard rate for Month 1 is 20/1,000. If in Month 2, 20 die; the hazard rate for Month 2 is20/980 and so on. In this case the hazard rate is the number of patients dying divided of the instantaneous event rate) it is possible
to compare the rate with the rate occurring in
another group of patients given an
alternative treatment, ideally within a
randomised controlled trial. At different
points in time the ratio of the hazard rates
can be calculated. If the pattern of events is
What are
hazard ratios?
100–90–80–70–60–50–40–
30–20–10–0–
100–90–80–70–60–50–40–30–20–p=0.007
TPF
PF
p=0.02
TPF
PF
patient to progress more quickly, and that a treated patient who has not yet progressed by a certain time has twice the chance of having progressed at the next point in time compared with someone in the control group.
In this example, the hazard ratio should be thought of as the odds that a patient will progress more slowly with treatment. It is a used to describe true survival in people with advanced head and neck cancer (a term used to describe squamous cell cancer of the throat, tongue, neck, sinus and so on). The safety and efficacy of types of ‘induction chemotherapy’ for patients with squamous cell carcinoma of the head and neck were evaluated, where induction chemotherapy is a treatment used in anticipation of
What are hazard ratios?