Exam 3 SG BIOSTATS PDF
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This document is a study guide for Exam 3 in Biostatistics. It focuses on simple and multiple linear regression, including concepts like dependent and independent variables, intercepts and coefficients, and evaluating the fit of regression models. It is useful for students reviewing these key statistical topics.
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-- Simple & Multiple Linear Regression *assess differences across test a control groups , accounting for factors that do not "average out" could cause bias.- > single or multiple predictors (X) -* ↳indep...
-- Simple & Multiple Linear Regression *assess differences across test a control groups , accounting for factors that do not "average out" could cause bias.- > single or multiple predictors (X) -* ↳independent variable Correlation vs. Regression need to show causation # > only one Y value (outcome) & ↳ ↳ dependent variable description/inferential Prediction/Designed ↳ continuous (#) statistics experiments * linear ↳ R2-adjusted (more acc than R2). ↳ Y 112X +5 Glinexplanatory = ↳ intercept always Y axis dependents preciatis * simple linear regression ↳ estimating sloped intercept of a trendline thrn the middle of When Reading Data! a scatterplot bX-Pluginford multiple R correlation R2 0 1 > 4Y = - = = a+ ↳ close to 0-poor fit (no pattern( ↳ 70 3 = weak crefficient intercept coeff ↓.. ↳ close to l-excellent fit > ALWAYS Use - Adjusted R2 ↳ ) < 0 33 (precise pattern tightly clustered poor fit > - ↳ Null Ho = slope of RL is Zero. = ↳ < 0 33-0 04 > moderate , - ↳no sig linear relationship bt 2variables... 4) 0 ne > strong fit. - > if ANOVA given-look at p-value * Ordinary least squares (OLS) ↳ 05 significant = ↳ simplest form of estimation. for regression < look at coefficients * analysis > use P-value of variables * not of intercept * cofounders * adjust for cofounders > factor ↳ 1 05 preventing appropriate ↳include them in. interpretation of statistical result multiple linear regression as control variables. no causation M independent alone > dependent Multiple Linear Regression (MLR) = more than 1 indvariable * accounts for cofounders & assess for mediation cofounder Enervou Y= a + b ,x, + bzXz... + ↓ or controlled values > mediators intercept - type of cofounder ↳ intermediate variable in a * removes possible source of bias causal chain relating a * use p-value of variables ind. a dep. ↳ ) < 0 05 =. Sig > predictor value. ind > changes on mediator > ↳ changes on dep. * > 0 05 not sig > Control value - ->... =. > if a variable moves from predictor - control in MRS, eX : Hi BP it is a 71 confounding variable > hull : Ho = atleast one of bl bz , be not equal to zero. smoking CVD mediator * results that omit important control variables are considered biased/inefficient Binary LogisticRegression Dependent Variable probability of occuring = ↑ binary or dichotomous probability of not = 1- Y yes/no 'deathlalive can recode variables to be binary eX : All levels 27 = has diabetes * 9ggo Cl & does NOT include I All levels < 7 = no diabetes ↳ reject null *99%0 Cd includes I ↳ ) BLR fail to reject - - probability of Yi = I Ho BK = 0 : J 05 = fail 2 reject ·. I = has o= does not have.os = reject 4 * alwaysIt od 1 what is I ? > interval = 1. 002-1 016. logit or ii = odds of having ↳ doesn't include I · odds. ↳reject null ! probability of success probability of failure use 95% confidence limits odds ratio IP & - odds of Yi 1 = 1. 002-1 011. if >I coefficient will be + ↓ B> O > OR greater than one - = hired - - - - BLO - OR smaller than one... o = not hired experience StudyDesign Overview EVIDENCE based medicine pyramid observational studies strength & quality ↑ as moves up "Observed" Critical Appraisal 1. Conort Meta-analyses strongest < prospective > retrospective systematic reviews. Cross-sectional 2 (surveys critically appraised lit. evidence based practice guidelines. case control 3. 4 case series a report experimental studies. randomizedcontrollers as a non-randomized controlled Trials Case Series Case Report observational studies > descriptive > detailed report of diagnosis , · novel or unusual char. frmt , response & follow up of cohort studies individual pt a) prospective b) retrospective - seen over short period of time (small # of Pts) educational , but selection bias · hypothesis generating · rare manifestations observational , case series or studies * group of case reports (3-10) (case control) individual case reports weakest Case Control * MATCHING > begins w/ cases of disease (outcome) amt. smoke observational · looks backward' retrospectively' to ex : 200 cases widisease 50% detect risk factors 200 cases wo disease starts Wh outcome & - 10 %0 · * case : looks at risk factors > look at smoking in pts ↳ind WI disease or outcome ↳ can say. smoking causes !! * control : ↳ ind wo disease or outcome. cross Sectional Conort Studies < analyze data from ind at one point in time. >a group of people who have something surveys epidemiology in common exc call residents dask now much they · · follow forward or 'Prospective' to see what will happen ↳ will exercise weekly & if they have been diagnosed they get? WI heart disease · commonality may= risk factor for disease or other health effect · ex : smokers vs non smokers. 1. objective is to establish 2 groups ↳ exposed vs nonexposed. observational ↳followed either in past or future startswt risk factory > Prospective looks for consequences > follows forward in time Retrospective < also uses historical info (database) experimental studies RCT * new drug * crossover studies ~ provides strongest evidence causation > same group for intervention & control > involving humans= clinical trials groups treated same in every way except · washout period = no trmt received 1. uncontrolled : for intervention * SWAP ↳ no comparison (control · each pt serves as their own control 1. Single blind : ↳ less validity ↳pts don't know. nonrandomized : 2. double blind : 2 ↳ trials we controls 4) Pt & investigator don't know nonrandomized trials 3 RCT. :. triple blind : 3 > char not , equally distributedbt ↳ trials wi control a randomization 4 Pt , investigator intervention & control , a data analysis personnel unaware questionable conclusions. 4 crossover : * randomization= causation · No causation ↳ trials w/self controls & randomization trials w/ historical controls > use results of another investigators research for comparison · must determine if other factors have changed since controls were treated - L Combine results from studies quantitatively Reviews & Meta Analyses > both qualitative & quantitative assessment * meta-analyses = reviews for overall conclusion * reviews # met analyses