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what does a hazard ratio greater than 1 mean

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When a hazard rate ratio, obtained as the exponential of an estimated regression coefficient from the Cox model, is greater than 1.0, it consistently exceeds relative risk, and is exceeded by the odds ratio. Any point where x/y is greater than 1 has a ratio larger than one. For example, the point (2, 1) has a ratio of 2:1, or 2. (3, 1) has a ratio of 3, etc. Calling it a hazard ratio simply says that one groups treatment is less effective. If the ratio is one then the two groups have equally effective treatments. If the HR number is less than one, or greater than one, it tells you the study group's treatment was more, or less, effective (relative to the control group). Suppose that in a sample of 100 men, 90 have drunk wine in the previous week, while in a sample of 100 women only 20 have drunk wine in the same period. The odds of a man drinking wine are 90 to 10, or 9:1, while the odds of a woman drinking wine are only 20 to 80, or 1:4 = 0.25:1. The odds ratio is thus 9/0.25, or 36, showing that men are much more likely to drink wine than women. The numerical value can be a fraction of 1.0 or it can be greater than 1.0. For example, a hazard ratio of 0.70 means that the study drug provides 30% risk reduction compared to the control treatment (25). A hazard ratio of exactly 1.0 means that the study drug provides zero risk reduction, compared to the control treatment. The probability of not drawing a spade is 1 - 0.25. So the odds is 0.25/0.75 or 1:3 (or 0.33 or 1/3 pronounced 1 to 3 odds). Moving back and forth To go from odds to probability, simply take the numerator/(denominator + numerator). In the spades example, the odds of 1/3 is converted by taking 1/1+3 = 0.25 - and now we are back to probability. Risk Ratio <1. It is also possible for the risk ratio to be less than 1; this would suggest that the exposure being considered is associated with a reduction in risk. In 1982 The Physicians' Health Study (a randomized clinical trial) was begun in order to test whether low-dose aspirin was beneficial in reducing myocardial infarctions (heart Odds ration can not be negative. It is always positive. Whether or not there is a protective effect or negative effect will be judged by the odds ratio greater than 1 or less than one. The same applies to other ratios such as hazard ratio, risk ratio 2:34 PM The following plot shows the shape of the Gamma hazard function for dif-ferent values of the shape parameter . The case =1 corresponds to the exponential distribution (constant hazard function). When is greater than 1, the hazard function is concave and increasing. When it is less than one, the hazard function is convex and decreasing. t h(t hazard ratio (haz′ărd), HR 1. In biostatistics, the calculated likelihood that a particular intervention will make a study outcome more or less likely to occur. A hazard ratio of 1.0 indicates that the variable has no impact on the outcome. A hazard ratio of less than 1.0 indicates that the variable decreases the likelihood of the outcome. A ratio

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what does a hazard ratio greater than 1 mean

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