The basic difference is that the odds ratio is a ratio of two odds (yep, it's that obvious) whereas the relative risk is a ratio of two probabilities (The relative risk is also called the risk ratio) Let's look at an example Relative Risk/Risk Ratio Suppose you have a school that wants to test out a new tutoring program Here's the key Relative Risk looks to the future for the effect of a particular cause hence it is used in prospective studies say a cohort study Lets compare the above with Odds Ratio The Odds Ratio can be addressed by asking te following question How many times more likely is a diseased group to have been exposed to a risk factor as The risk ratio, also referred to as the relative risk, is calculated as the ratio of the risk of the outcome in these two groups In this article, we illustrate, by means of two empirical examples, that use of odds ratios in cohort studies and
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Odds ratio vs relative risk cohort-–45 5 McNutt L, Wu C, Xue X, Hafner JP Estimating the relative risk in cohort studies and clinical trials of common outcomes Am J Epidemiol 03; The odds ratio (OR) or the ratio of odds of exposure is thus given by a/cb/d (or ad/bc) The odds ratio is generally a good estimate of the relative risk The terms odds ratio and relative risk are in fact interchangeable when used in casecontrol studies Population and hospitalbased casecontrols studies
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The odds ratio then provides an overestimation of the risk ratio, especially when the outcome is frequent The use of logistic regression to adjust for confounding is one of the reasons that odds ratios are presentedA value lower than 100 indicates decreased risk The 95% confidence intervals and statisticalAbstract Odds ratios (OR) are commonly reported in the medical literature as the measure of association between exposure and outcome However, it is relative risk that people more intuitively understand as a measure of association Relative risk can be directly determined in a cohort study by calculating a risk ratio (RR)
Odds ratio can be calculated in a cohort study and in a casecontrol study The exposure odds ratio is equal to the disease odds ratio Relative risk can only be calculated in a cohort study Odds ratio can be a measure of relative risk in case control study 6 MantelHaenszel methods for stratified summaries of odds ratios have been extended to summarize risk ratios using matchedpair cohort data (1, 12– 16) The estimator of the risk ratio from the matched pairs reduces to the crude risk ratio described above Using the notation from table 1, this estimator is (A B)/(A C)An odds ratio of 112 means the odds of having eaten lettuce were 11 times higher among casepatients than controls Because the odds ratio is greater than 10, lettuce might be a risk factor for illness after the luncheon The magnitude of the odds ratio
I won't write here the equation for the Odds Ratio in a cohort study, because it would be exactly the same as the population odds ratio, therefore they are also the same Therefore, the odds ratio is an effect size measure that is adequate for both casecontrol and cohort designs, because they all measure the same thingConverting Odds Ratio to Relative Risk in Cohort Studies with Partial Data Information Zhu Wang Connecticut Children's Medical Center Abstract In medical and epidemiological studies, the odds ratio is a commonly applied measure to approximate the relative risk or risk ratio in cohort studies It is well known tha suchNonexposed group, "OR" is an odds ratio from a logistic regression equation, and "RR" is an estimated relative risk Most researchers apply this formula to the adjusted odds ratio to estimate an adjusted relative risk Using the formula in this manner is incorrect and will produce a biased estimate when confounding is present
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Odds ratios and risk ratios •How do you interpret the relative risk?The relative merits of risk ratios and odds ratios Arch Pediatr Adolesc Med 09;The relative risk is best estimated using a population sample, but if the rare disease assumption holds, the odds ratio is a good approximation to the relative risk — the odds is p / (1 − p), so when p moves towards zero, 1 − p moves towards 1, meaning that the odds approaches the risk, and the odds ratio approaches the relative risk
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The quote surely just means to say that the odds ratio is a relative risk measure rather than an estimate of the relative risk, which as already point out is only approximately the case in cohort studies/randomized trials for very low proportions By relative risk measure I mean something that is given relative to some comparison group in a way that the absolute difference depends on the The odds ratio (OR) is the ratio of the odds of cancer in smokers to the odds of cancer in nonsmokers OR = (a/b)/ (c/d) = (ad)/ (bc) The risk ratio (RR), also called the relative risk, is the ratio of the probability of cancer in smokers to the probability of cancer in nonsmokers Given that you know a, b, c, and d, you can compute either ofHi, Been reading through a research paper that used a prospective cohort study, but in the results table for measures of association, the odds ratio was used instead of relative risk
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Even with initial risks as high as 50% and very large reductions in this risk (odds ratios of about 01), the odds ratio is only 50% smaller than the relative risk (01 for the odds ratio compared with a true value for the relative risk of 02)95%ci ของ rr = 32, 95 2 2 1 1 /2 (1 )100%confidence interval rr log 1 1 1 n p p p z p pERRATA At about the 300 mark the slide says "10,00" when it is really supposed to say "10,000" I added a pop up box to fix it Thanks to Mehdi Hedjazi for
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In a cohort study, P0indicates the incidence of the outcomeof interest in the nonexposed group and P1in the exposed group;OR, odds ratio;The Odds Ratio The odds of disease in the exposed group are 7/10, and the odds of disease in the nonexposed group are 6/56 If I compute the odds ratio, I get (7/10) / (5/56) = 656, very close to the risk ratio that I computed from data for the entire population We will consider odds ratios and casecontrol studies in much greater depth inWhile retrospective cohort studies try to compare the risk of developing a disease to some already known exposure factors, a casecontrol study will try to determine the possible exposure factors after a known disease incidence Both the relative risk and odds ratio are relevant in retrospective cohort studies, but only the odds ratio can be used in casecontrol studies
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Given that this is a cohort study, the relative risk (RR) should have been calculated instead of the odds ratio Odds ratios frequently generate larger differences between exposed and nonexposed groups (especially when dealing with nonrare events), therefore overestimating the observed effect (4)Odds of the disease in men Odds=Risk of disease in men/risk of no disease in men= (140/0)/(60/0)=07Thus, (P1/P0)=OR/(1−P0)(P0×OR) Since RR=P1/P0,the corrected Graphic Jump Location
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Definition of risk ratio A risk ratio (RR), also called relative risk, compares the risk of a health event (disease, injury, risk factor, or death) among one group with the risk among another group It does so by dividing the risk (incidence proportion, attack rate) in group 1 by the risk (incidence proportion, attack rate) in group 2 However, one can calculate a risk difference (RD), a risk ratio (RR), or an odds ratio (OR) in cohort studies and randomized clinical trials Consider again the data in the table below from the randomized trial assessing the effectiveness of a newly developed pain reliever as compared to the standard of careAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How works Test new features Press Copyright Contact us Creators
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Relative measures of effect are risk ratio (ie the ratio between two incidence proportions), incidence rate ratio (the ratio between two incidence rates), and OR (the ratio between two odds) The risk difference is an absolute measure of effect (ie the risk of the outcome in exposed individuals minus the risk of the same outcome in unexposed) Davies et al (1) state that the odds ratio is a common measure in casecontrol studies, cohort studies, or clinical trails Unfortunately, this first sentence of their article is not correct For different study designs, OR should only be used as a measure of effect size when RR can not be estimated directlyThe odds ratio can also be used to determine whether a particular exposure is a risk factor for a particular outcome, and to compare the magnitude of various risk factors for that outcome OR=1 Exposure does not affect odds of outcome OR>1 Exposure associated with higher odds of outcome OR
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As an extreme example of the difference between risk ratio and odds ratio, if action A carries a risk of a negative outcome of 999% while action B has a risk of 990% the relative risk is approximately 1 while the odds ratio between A and B is 10 (1% = 01% x 10), more than 10 times higherAnd RR, risk ratio OR=(P1/1−P1)/(P0/1−P0);ความเสี่ยงสมพันธั์ (Relative risk) risk ratio relative risk เท่ากับ ค่าอัตราส่วนของ p1/p2 Cohort Study risk ratio = 12/22 =55;
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In epidemiological terms, the odds ratio is used as a point estimate of the relative risk in retrospective studies Odds ratio is the key statistic for most casecontrol studies In prospective studies, Attributable risk or risk difference is used to quantify risk in the exposed group that is attributable to the exposure In retrospective studies, attributable risk can not be calculatedWhen used for cohort studies and randomized clinical trials, the odds ratio is often incorrectly interpreted as the risk ratio;Relative Risk (RR) is a ratio of probabilities or put another way it is one probability divided by another Odds Ratio (OR) is a ratio or proportion of odds I just remember that odds ratio is a ratio of odds and probability isn't a ratio of odds (AKA it is the other option) Relative Risk = Probability / Probability
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INTRODUCTION Odds ratio (OR) and risk ratio (RR) are two commonly used measures of association reported in research studies In crosssectional studies, the odds ratio is also referred to as the prevalence odds ratio (POR) when prevalent cases are included, and, instead of the RR, the prevalence ratio (PR) is calculatedOdds ratio can be calculated in a cohort study and in a casecontrol study − The exposure odds ratio is equal to the disease odds ratio Relative risk can only be calculated in a cohort study 33 When Is Odds Ratio a Good Estimate of Relative Risk? Other O does not have an R (cOhort), which means the other group does not have the risk factor Compare the two to see who gets the disease How to remember that case control studies measure odds ratio and cohort studies measure relative risk You take surgical "cases" to the "OR" (Operating room) Case control study Odds Ratio cohoRRRRRRt
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In a control group The odds ratio (OR) is the odds of an event in an experimental group relative to that in a control group An RR or OR of 100 indicates that the risk is comparable in the two groups A value greater than 100 indicates increased risk;The odds ratio for lettuce was calculated to be 112 How would you interpret the odds ratio?It is assumed that, if the prevalence of the disease is low, then the odds ratio approaches the relative risk Case control studies are relatively inexpensive and less timeconsuming than cohort studies In this case the odds ratio (OR) is equal to 16 and the relative risk (RR) is equal to 865
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A crude odds ratio can be converted to a crude risk ratio risk ratio = odds ratio/(1 − p0) (p0 × odds ratio), in which p0 is the outcome prevalence (risk) among the unexposed Some have applied this formula to an adjusted odds ratio to obtain an adjusted risk ratio 49 This method can produce biased risk ratios and incorrect confidence Relative risks and odds ratios are widely reported in the medical literature, but can be very difficult to understand We sought to further clarify these important indices Methods We illustrated both relative risks and odds ratios using bar charts, then looked at the types of study for which each statistic is suited9222 Measures of relative effect the risk ratio and odds ratio Measures of relative effect express the outcome in one group relative to that in the other The risk ratio (or relative risk) is the ratio of the risk of an event in the two groups, whereas the odds ratio is the ratio of the odds of an event (see Box 92a)For both measures a value of 1 indicates that the estimated effects
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Risk ratios, odds ratios, and hazard ratios are three ubiquitous statistical measures in clinical research, yet are often misused or misunderstood in their interpretation of a study's results 1 A 01 paper looking at the use of odds ratios in obstetrics and gynecology research reported 26% of studies (N = 151) misinterpreted odds ratios as risk ratios 2, while aIncludes the 95% of risk ratios of these 100 population samples Thus, the 95% CI is the interval of values in which the true risk ratio is likely to lie with a probability of 95% To be statistically significant with a Po005, a risk ratio should have a 95% CI not including 10 Thus, in the HOPE study, the risk ratio of 078 (95% CI 070–0The risk of getting the disease in males is 31 times the risk of getting the disease in females •What is the odds ratio for the disease among men as opposed to women?
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Odds ratio vs relative risk Odds ratios and relative risks are interpreted in much the same way and if and are much less than and then the odds ratio will be almost the same as the relative risk In some sense the relative risk is a more intuitive measure of effect size Note that the choice is only for prospective studies were the distinction
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