USMLE Step 1 First Aid 2015 Behavioral Science Epidemiology/Biostatistics – Flashcards
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Observational Studies
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1. Cross-sectional 2. Case-control 3. Cohort 4. Twin concordance 5. Adoption
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Observational Studies, Temporality 1. Cross-sectional 2. Case-control 3. Cohort 4. Twin concordance 5. Adoption
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1. Cross-sectional: Prospective 2. Case-control: Retrospective 3. Cohort: Prospective, Retrospective 4. Twin concordance: Prospective, Retrospective 5. Adoption: Prospective, Retrospective
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Observational Studies, Measures 1. Cross-sectional 2. Case-control 3. Cohort 4. Twin concordance 5. Adoption
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1. Cross-sectional: Prevalence 2. Case-control: Odds Ratio (OR) 3. Cohort: Relative Risk (RR) 4. Twin concordance: Heritability and influence of environmental factors 5. Adoption: Heritability and influence of environmantal factors
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Observational Studies, Examples 1. Cross-sectional 2. Case-control 3. Cohort
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1. Cross-sectional: What is happening? 2. Case-control: Patients w/ COPD had higher odds of a history of smoking than those without COPD. 3. Cohort: Smokers had a higher risk of developing COPD than nonsmokers.
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Observational Studies, Stable Factor 1. Cross-sectional 2. Case-control 3. Cohort
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1. Cross-sectional: One group, Point in time 2. Case-control: Risk factor 3. Cohort: Disease or no disease
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Observational Studies, Variable Factor 1. Case-control 2. Cohort 3. Twin concordance 4. Adoption
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1. Case-control: Diseased/Non-diseased 2. Cohort: Exposed/Non-exposed 3. Twin concordance: Disease and Risk factor 4. Adoption: Disease and Risk factor
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Observational Studies, Design 1. Cross-sectional 2. Case-control 3. Cohort 4. Twin concordance 5. Adaption
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1. Cross-sectional: Assesses frequency of disease (and related risk factor), Shows risk factor association but does not establish causality. 2. Case-control: Looks for prior exposure or risk factor. 3. Cohort: Looks to see if exposure incr. the likelihood of disease. 4. Twin concordance: Compares frequency with which both mono- and dizygotic twins develop the same disease 5. Adaption: Compares siblings raised by biological vs. adoptive parents
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Clinical trial
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Compares therapeutic benefit of 2 or more treatments, or of treatment and placebo
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Clinical trial, Study quality
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Improves when study is: - randomizes - controlled - double-blinded
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Clinical trial, Study Sample
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Humans
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Triple-blind Clinical trial
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Double-blinded plus additional blinding of the researchers analyzing the data.
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Clinical trial, Phase I, Typical Study Sample
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Small Healthy
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Clinical trial, Phase I, Purpose
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Assesses: - Safety - Toxicity - Pharmacodynamics - Pharmacokinetics
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Clinical trial, Phase II, Typical Study Sample
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Small Disease of interest
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Clinical trial, Phase II, Purpose
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Assesses: - Treatment efficiacy - Optimal dosing - Adverse effects
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Clinical trial, Phase III, Typical Study Sample
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Large, Diseased Randomly assigned to treatment or control group
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Clinical trial, Phase III, Purpose
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Compares new treatment to current standard of care.
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Clinical trial, Phase IV, Typical Study Sample
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Postmarketing surveillance of patients after treatment is approved
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Clinical trial, Phase IV, Purpose
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Detects: - Rare adverse effects - Long-term adverse effects Can result in treatment being withdrawn from market.
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Double-blind Clinical trial
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Neither Patient nor Doctor knows whether patient is in the treatment or control group.
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Sensitivity
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True-positive rate Proportion of all people with disease who test positive. Probability that test detects disease when disease is present.
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High Sensitivity Test, Use
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Screening in disease with low prevalence.
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Sensitivity approaching 100%
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Desirable for ruling out disease. Indicates low false-negative rate.
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Sensitivity, Equation
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True-positive rate = TP / (TP + FN) = 1 - FN If Sensitivity = 100% = TP / (TP + FN) = 1, FN = 0 and all negatives must be TNs
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Specificity
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True-negative rate Proportion of all people without disease who test neg. Probability that test indicates no disease when disease is absent.
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High Specificity Test, Use
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Used for confimation after positive screening test
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Specificity approaching 100%
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Desirable for ruling in disease. Indicates low false-positive rate.
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Specificity, Equation
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True-negative rate = TN / (TN + FP) = 1 - FP If Specificity = 100% = TN / (TN + FP) = 1, FP = 0 and all positives must be TPs
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Positive predictive value (PPV)
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Proportion of positive test results that are true positive. Probability that a person actually has a disease given a positive test result.
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Positive predictive value (PPV), Equation
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PPV = TP / (TP + FP)
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Positive predictive value (PPV) : Prevalence or pretest probability
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PPV varies directly with prevalence or pretest probability: High pretest probability -> high PPV
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Negative predictive value (NPV)
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Proportion of negative test results that are true negative. Probability that person actually is disease free given a negative test result.
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Negative predictive value (NPV), Equation
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NPV = TN / (TN + FN)
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Negative predictive value (NPV) : Prevalence or pretest probability
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NPV varies inversely with prevalence or pretest probability: High pretest probability -> low NPV
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Incidence Rate
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= # of new cases / # of cases at risk
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Prevalence Rate
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= # of existing cases / # of cases at risk
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Incidence Rate, Temporality
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During a time period
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Prevalence Rate, Temporality
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At a point of time
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When is Prevalence ≈ Incidence
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When Incidence for short duration disease (e.g. common cold)
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Prevalence ≈
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Pretest probability
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Odds ratio (OR)
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Odds that the group with disease (cases) was exposed to a risk factor (a/c) divided by the odds that the group without the disease (controls) was exposed (b/d).
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Odds ratio (OR), Equation
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OR = (a/c)/(b/d) = ad/bc
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Relative risk (RR)
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Risk of developing a disease in the exposed group divided by risk of developing a disease in the unexposed group. If prevalence is low, OR ≈ RR.
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Relative risk (RR), Equation
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RR= a (a + b) / c (c + d) [exposed% / unexposed%]
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Relative risk (RR), Example
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If 21% of smokers develop lung cancer vs. 1% of nonsmokers, RR = 21 / 1 = 21
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Attributable risk (AR)
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Difference in risk between exposed and unexposed groups. The proportion of disease occurrences that are attributable to the exposure.
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Attributable risk (AR), Equation
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AR = a / (a + b) - c / (c + d) [exposed% - unexposed%]
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Attributable risk (AR), Example
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If risk of lung cancer in smokers is 21% and risk in nonsmokers is 1%, then 20% of the lung cancer risk in smokers is attributable to smoking.
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Relative risk reduction (RRR)
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The proportion of risk reduction attributable to the intervention as compared to a control
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Relative risk reduction (RRR), Equation
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RRR = 1 - RR
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Relative risk reduction (RRR), Example
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If 2% of patients who receive a flu shot develop the flu, while 8% of unvaccinated patients develop the flu, then RR = 2/8 = 0.25, and RRR = 0.75
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Absolute risk reduction (ARR)
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The difference in risk (not the proportion) attributable to the intervention as compared to a control.
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Absolute risk reduction (ARR), Equation
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If 8% of people who receive a placebo vaccine develop the flu vs. 2% of people who receive a flu vaccine, then ARR = 8% − 2% = 6% = .06
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Absolute risk reduction (ARR), Example
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ARR = (c /c + d) - (a / a + b)
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Number needed to treat (NNT)
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Number of patients who need to be treated for 1 patient to benefit.
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Number needed to treat (NNT), Equation
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NNT = 1 / ARR
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Number needed to harm (NNH)
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Number of patients who need to be exposed to a risk factor for 1 patient to be harmed.
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Number needed to harm (NNH), Equation
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NNH = 1 / AR
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Precision
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The consistency and reproducibility of a test (reliability). The absence of random variation in a test.
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Accuracy
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The trueness of test measurements (validity). The absence of systematic error or bias in a test.
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Precision, Error
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Random error decr. precision in a test. Incr. precision -> decr. standard deviation. Incr. precision -> incr. statistical power (1 − β)
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Accuracy, Error
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Systematic error decr. accuracy in a test.
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Bias and study errors, Recruiting
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Selection bias
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Bias and study errors, Performing
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Recall bias Measurement bias Procedure bias Observer-expectancy bias
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Bias and study errors, Interpreting
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Confounding bias Lead-time bias
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Selection bias
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Error in assigning subjects to a subject group resulting in an unrepresentative sample. Most commonly a sampling bias.
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Selection bias, Examples
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Berkson bias Healthy worker effect Non-response bias
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Selection bias, Strategy to reduce bias
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Randomization Ensure the choice of the right comparison/reference group.
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Berkson bias
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Study population selected from hospital -> less healthy than general population
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Healthy worker effect
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Study population is healthier than the general population.
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Non-response bias
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Participating subjects differ from nonrespondents in meaningful ways.
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Recall bias, Definition
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Awareness of disorder alters recall by subjects
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Recall bias, Example
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Patients with disease recall exposure after learning of similar cases.
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Recall bias, Strategy to reduce bias
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Decrease time from exposure to follow-up.
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Measurement bias, Definition
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Information is gathered in a way that distorts it.
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Measurement bias, Example
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Miscalibrated scale consistently overstates weights of subjects.
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Measurement bias, Strategy to reduce bias
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Use standardized method of data collection.
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Procedure bias, Definition
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Subjects in different groups are not treated the same.
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Procedure bias, Example
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Patients in treatment group spend more time in highly specialized hospital units.
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Procedure bias, Strategy to reduce bias
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Blinding Use of placebo -> reduce influence of participants and researchers on procedures and interpretation of outcomes as neither are aware of group allocation
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Observer-expectancy bias, Definition
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Researcher's belief in the efficacy of a treatment changes the outcome of that treatment
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Observer-expectancy bias, Example
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If observer expects treatment group to show signs of recovery, then he is more likely to document positive outcomes
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Observer-expectancy bias, Strategy to reduce bias
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Blinding Use of placebo -> reduce influence of participants and researchers on procedures and interpretation of outcomes as neither are aware of group allocation
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Recall bias Common in:
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Common in retrospective studies.
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Observer-expectancy bias, aka
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Pygmalion effect: self-fulfilling prophecy
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Confounding bias, Definition
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When a factor is related to both the exposure and outcome, but not on the causal pathway -> factor distorts or confuses effect of exposure on outcome.
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Confounding bias, Example
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Pulmonary disease is more common in coal workers than the general population; however, people who work in coal mines also smoke more frequently than the general population
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Confounding bias, Strategy to reduce bias
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Multiple/repeated studies Crossover studies (subjects act as their own controls) Matching (patients with similar characteristics in both treatment and control groups)
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Lead-time bias, Definition
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Early detection is confused with incr. survival.
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Lead-time bias, Example
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Early detection makes it seem as though survival has increased, but the natural history of the disease has not changed.
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Lead-time bias, Strategy to reduce bias
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Measure "back-end" survival (adjust survival according to the severity of disease at the time of diagnosis)
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Measures of central tendency
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Mean Median Mode
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Mean
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Sum of values / total number of values. Most affected by outliers (extreme values).
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Median
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Middle value of a list of data sorted from least to greatest. If there is an even number of values, the median will be the average of the middle two values.
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Mode
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Most common value. Least affected by outliers.
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Standard deviation (SD)
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How much variability exists from the mean in a set of values.
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Standard error of mean (SEM)
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An estimate of how much variability exists between the sample mean and the true population mean.
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Standard error of mean (SEM), Equation
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SEM = σ/√n σ = SD; n = sample size SEM decr. as n incr.
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Normal distribution
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Gaussian, also called bell-shaped. Mean = median = mode.
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Bimodal
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Suggests two different populations
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Positive skew
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Typically, mean > median > mode. Asymmetry with longer tail on right.
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Negative skew
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Typically, mean < median < mode. Asymmetry with longer tail on left.
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Bimodal, Examples
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Metabolic polymorphism such as fast vs. slow acetylators Age at onset of Hodgkin lymphoma Suicide rate by age
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Statistical Hypothesis, Null (H0)
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Hypothesis of no difference or relationship.
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Statistical Hypothesis, Null (H0), Example
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There is no association between the disease and the risk factor in the population.
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Statistical Hypothesis, Alternative (H1)
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Hypothesis of some difference or relationship.
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Statistical Hypothesis, Alternative (H1), Example
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There is some association between the disease and the risk factor in the population.
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Outcomes of statistical hypothesis testing, Correct result
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1. Stating that there is an effect or difference when one exists (null hypothesis rejected in favor of alternative hypothesis). 2. Stating that there is not an effect or difference when none exists (null hypothesis not rejected).
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Type I error (α)
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Also known as false-positive error. Stating that there is an effect or difference when none exists (null hypothesis incorrectly rejected in favor of alternative hypothesis).
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Type I error (α), α
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α is the probability of making a type I error.
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Type I error (α), p
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p is judged against a preset α level of significance (usually < .05).
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Type I error (α), p < 0.05
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There is less than a 5% chance that the data will show something that is not really there.
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Type II error (β)
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Also known as false-negative error. Stating that there is not an effect or difference when one exists (null hypothesis is not rejected when it is in fact false).
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Type II error (β), β
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β is the probability of making a type II error. β is related to statistical power (1 - β), which is the probability of rejecting the null hypothesis when it is false.
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Type II error (β), incr. power and decr. β by:
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incr. sample size incr. expected effect size incr. precision of measurement
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Confidence interval
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Range of values in which a specified probability of the means of repeated samples would be expected to fall.
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Confidence interval, Equation
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CI = mean ± Z(SEM).
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For the 95% CI
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Z = 1.96
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For the 99% CI
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Z = 2.58
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If the 95% CI for a mean difference between 2 variables includes 0...
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then there is no significant difference and H0 is not rejected.
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If the 95% CI for odds ratio or relative risk includes 1...
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H0 is not rejected.
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If the CIs between 2 groups do not overlap...
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-> statistically significant difference exists.
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If the CIs between 2 groups overlap...
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-> usually no significant difference exists.
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t-test
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Checks differences between MEANS of 2 groups.
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t-test, Example
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Comparing the mean blood pressure between men and women.
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ANOVA
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Checks differences between MEANS of 3 or more groups.
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ANOVA, Example
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Comparing the mean blood pressure between members of 3 different ethnic groups.
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Chi-square (χ2)
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Checks differences between 2 or more PERCENTAGES or PROPORTIONS of categorical outcomes (not mean values).
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Chi-square (χ2), Example
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Comparing the percentage of members of 3 different ethnic groups who have essential hypertension.
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Pearson correlation coefficient (r)
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r is always between −1 and +1. The closer the absolute value of r is to 1, the stronger the linear correlation between the 2 variables.
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Pearson correlation coefficient (r), Positive r value
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Positive correlation -> as one variable INCR., the other variable INCR.)
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Pearson correlation coefficient (r), Negative r value
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Negative correlation -> as one variable INCR., the other variable DECR.)
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Pearson correlation coefficient (r), Coefficient of determination
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r2 (value that is usually reported).
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Disease prevention, Primary
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Prevent disease occurrence (e.g., HPV vaccination)
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Disease prevention, Secondary
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Screening early for disease (e.g., Pap smear)
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Disease prevention, Tertiary
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Treatment to reduce disability from disease (e.g., chemotherapy)
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Medicare
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Available to patients: - ≥ 65 years old - < 65 with certain disabilities - patients with end-stage renal disease
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Medicare and Medicaid
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Federal programs that originated from amendments to the Social Security Act.
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The 4 parts of Medicare:
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- Part A: Hospital insurance - Part B: Basic medical bills (e.g., doctor's fees, diagnostic testing) - Part C: (Parts A+B) delivered by approved private companies - Part D: Prescription drugs
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Medicaid
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Medicaid is joint federal and state health assistance for people with very low income.