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1.40 p=0.145
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Epidemiologic Association Chance Bias Confounding Truth
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CHANCE “…the results of the retrospective cohort study was inconclusive with all but two of the data being non-significant.” “…analysis of self-reported cancer rates for children who had played at the site (Exhibit E) shows that while that was a positive association, the results were not statistically significant. “
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1387 study participants, 73 self reported cancers
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Self-Reported Cancer YesNo Nyanza SiteYes36547236 Waste Ponds & Lagoons No367671,151 7213141386 OR = 1.40 (95% CI 0.87, 2.25) p=0.16 Assume MDPH Study Results Were as Below What Does p=0.16 mean? OR=1.40 P=0.08 95% CI 0.87, 2.25 P=0.16
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Self-Reported Cancer YesNo Nyanza SiteYes36547236 Waste Ponds & Lagoons No367671,151 7213141386 OR = 1.40 (95% CI 0.87, 2.25) p=0.16 Self-Reported Cancer YesNo Nyanza SiteYes721,0941,166 Waste Ponds & Lagoons No721,5341,606 14426282772 OR = 1.40 (95% CI 1.00, 1.96) p=0.047 Assume MDPH Study Results Were as Below 50% Participation What if MDPH Study Had Full Participation? X 2
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What is Bias? Bias means that there is a systematic error in the design or results The measured (or estimated) variable is different from the truth. Depends on the question! –Biased sample sample does not represent population –Biased exposure exposure ≠ true value –Diagnostic bias Disease ≠ true disease –Epidemiologic Bias association ≠ truth NOTE: Biased sample, or exposure, or disease does not mean association is biased (epidemiologic bias)!!
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SELECTION BIAS “Selection bias may play a significant role if the 1,387 people out of 2,054 who agreed to participate were more likely to have cancer compared to those who declined participation.” “… individuals who may have already died either from cancer or unknown unrelated causes and thus were untraceable would significantly bias our findings.” “There is a chance of those people with cancer having enrolled in the study versus those who did not have cancer.”
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Self-Reported Cancer YesNo Nyanza SiteYes36547236 Waste Ponds & Lagoons No367671,151 7213141386 OR = 1.40 (95% CI 0.87, 2.25) p=0.16 OR = 1.40 (95% CI 1.00, 1.97) p=0.052 What if 50% of the Cancer Cases Died Before MDPH Study ? Ca X 2 Actual Cancer YesNo Nyanza SiteYes72547619 Waste Ponds & Lagoons No72767839 14413141458 Assumed MDPH Study Results
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Self-Reported Cancer YesNo Nyanza SiteYes36547236 Waste Ponds & Lagoons No367671,151 7213141386 OR = 1.40 (95% CI 0.87, 2.25) p=0.16 OR = 1.40 (95% CI 0.93, 2.11) p=0.104 What if Exposed People Were Twice as Likely to Participate ? Ca X 2 Assumed MDPH Study Results Self-Reported Cancer YesNo Nyanza SiteYes721,0941,166 Waste Ponds & Lagoons No36767803 1081,8611969
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SELECTION BIAS “There is a chance of those people with cancer having enrolled in the study versus those who did not have cancer.” Only 40 out of 73 cancers confirmed
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Self-Reported Cancer YesNo Nyanza SiteYes36547236 Waste Ponds & Lagoons No367671,151 7213141386 OR = 1.40 (95% CI 0.87, 2.25) p=0.16 OR = 1.39 (95% CI 0.74, 2.60) p=0.30 What if only 40 Confirmed Cancer Cases Included ? Assumed MDPH Study Results Confirmed Cancer YesNo Nyanza SiteYes20563583 Waste Ponds & Lagoons No20783803 4013461386
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SELECTION BIAS Possible sources: –Selection of eligible participants –Differential participation –Loss to follow-up Requires: –Selection based on both exposure and outcome SELECTION DOES NOT IMPLY SELECTION BIAS
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INFORMATION BIAS “The difference between self-reporting and confirmed cases especially in view of the prolonged resentment held by the community members towards Nyanza lends some doubt to the results.”
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CONFOUNDING BIAS “A number of potential confounders have been considered, others such as the possibility of other or previously existing sources of contamination have not been ruled out.” Age, sex, race ?
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1.40 p=0.145 1.17 p=0.50 0.78 p=0.58 1.35 p=0.20 1.17 p=0.50 1.36 p=0.17 1.47 p=0.106 1.26 p=0.31 1.82 p=0.176
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Confounding Bias Confounding bias results when the association between exposure and disease is altered (biased) by a third variable (i.e. the confounder) Confounder by definition: –An independent determinant for the outcome (i.e. it is associated with the outcome among the unexposed) AND –Associated with the exposure of interest through a noncausal mechanism. Confounding –Inevitable in all studies. It is not investigator induced; it is a basic characteristic of nature. –Can be minimized, but it is never possible to know effects of all confounders –Best one can do is design study to reduce confounding and collect information on known or suspected confounders to control in analysis.
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Evaluating of Confounding Crude vs. Adjusted Associations –Confounding bias is the difference between the crude (unadjusted) effect estimate and the effect estimate adjusted for the posited confounder. –Rule of Thumb: at least a 10% change in effect estimate produced by adjustment for a true confounder Test of significance –Have no role in the identification or assessment of confounding –The association of the confounder with the outcome or exposure does not have to be statistically significant to produce a substantial difference between crude and adjusted effect estimates. Residual Confounding –Confounding Bias remains after inclusion of the confounder in the analysis due to mismeasurement of confounder or inadequate model for the confounder
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Control of Confounding in Design Randomization –Random allocation of exposure (clinical trial) –Cannot (unlikely) to be realized in environmental epidemiology Restriction –Restrict participation by potential confounder No confounding if potential confounder does not vary across subjects –Straight forward and inexpensive –Reduces number of subjects (and power) –Residual confounding possible –Limits generalizability (extrapolation) Improves validity of study Matching –Reduces confounding in cohort study –Induces confounding in case control Must control for matching variables –Improves efficiency to control in analysis
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EFFECT MODIFICATION “We already know that genetics plays a large role in many cancer etiologies. Family history is a significant confounder within our findings.”
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Effect Modification Variation in the association between outcome and exposure across levels of some other variable. Confounders can also be effect modifiers.
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Epidemiologic Association Chance Bias Confounding Truth
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CAUSALITY “… the biological plausibility and the latency period of each type of cancer mentioned needs to be established in this population.” “Dose-response relationships need to be strengthened.”
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CAUSALITY “We would recommend the use of GIS mapping techniques, a more detailed qualitative assessment of exposure histories among cases and controls in Ashland and the consideration of other communities with similar exposures to liquid hazardous waste during the same time period.” “Coordination with other communities with similar exposures across the country may serve to increase the numbers of exposures and cancers and improve statistical analysis.”
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AUSTIN BRADFORD HILL The Environment and Disease: Association or Causation? Proc Royal Soc Med 1965; 58:295-300. Strength Consistency Specificity Temporality Biological Gradient Plausibility Coherence Experiment Analogy
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Hill Criteria for Causation STRENGTH –First upon my list I would put the strength of the association. –In thus putting emphasis upon the strength of an association we must, nevertheless, look at the obverse of the coin. We must not be too ready to dismiss a cause-and-effect hypothesis merely on the grounds that the observed association appears to be slight.. Top
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Hill Criteria for Causation CONSISTENCY. –Has it been repeatedly observed by different persons, in different places, circumstances and times? –...there will be occasions when repetition is absent or impossible and yet we should not hesitate to draw conclusions. Top
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Hill Criteria for Causation SPECIFICITY –...specificity of the association, the third characteristic which invariably we must consider. –...if specificity exists we may be able to draw conclusions without hesitation; if it is not apparent, we are not thereby necessarily left sitting irresolutely on the fence. Top
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Hill Criteria for Causation TEMPORALITY –...temporal relationship of the association - which is the cart and which is the horse? Top
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Hill Criteria for Causation BIOLOGICAL GRADIENT –...if the association is one which can reveal a biological gradient, or dose-response curve, then we should look most carefully for such evidence. Top
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Hill Criteria for Causation COHERENCE –...cause-and-effect interpretation of our data should not seriously conflict with the generally known facts of the natural history and biology of the disease... Top
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Hill Criteria for Causation EXPERIMENT –... Occasionally it is possible to appeal to experimental, or semi-experimental, evidence. For example, because of an observed association some preventive action is taken. Top
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Hill Criteria for Causation PLAUSIBILITY –It will be helpful if the causation we suspect is biologically plausible. But this is a feature I am convinced we cannot demand. What is biologically plausible depends upon the biological knowledge of the day. Top
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Hill Criteria for Causation ANALOGY –In some circumstances it would be fair to judge by analogy. Top
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Hill Criteria for Causation TESTS OF SIGNIFICANCE –No formal tests of significance can answer those questions. Such tests can, and should remind us of the effects that the play of chance can create, and they will instruct us in the likely magnitude of those effects. Beyond that they contribute nothing to the 'proof' of our hypothesis.
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Hill Criteria for Causation CONCLUSIONS –All scientific work is incomplete - whether it be observational or experimental. All scientific work is liable to be upset or modified by advancing knowledge. That does not confer upon us a freedom to ignore the knowledge we already have, or to postpone the actions that it appears to demand at a given time.
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CAUSALITY “It is crucial that with further testing and investigations, we do not ignore action that must be taken in order to minimize exposure to the residents of Ashland.”
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