biostatistics notes for pg

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  • 8/17/2019 Biostatistics Notes for Pg

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    (qualit)SE=√(PQ/n)

    (quant)95%CI=mean±2.5SE

    (qualit)95%CI=proportion±2.5SE

    (quant)sample size=Z²SE²/L²

    (qualit)sample size=Z²PQ/L²

     Z²=4, P=prevalence, Q=1–P, L=100-CI

    probability

     p(event)=n(experiment)/n(total event)

     odds=n(event occur)/n(event not occur)

     Poisson distribution-discrete probability distribution for random event

    +ve/rt skew

     mean>median>mode

    –ve/lt skew

     mean

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     p value 0.01-difference 99%signif 

    ↑→ ↓CI level of signif  

     type I error-false +ve

     type II error-false –ve

    epidemiologic hypothesis specify population, expected outcome, sp cause, dose response relationship, time response

    relationship

    epidemiological study

     cohort(AIR)-Attributable risk, Incidence, Relative risk-natural h/o ds, Hawthorn

    effect-behaviour change when being observed

     case control-Odds ratio

     cross sectional-prevalence

     ecological(best)-group characteristics-unit-population

    observational study

     descriptive

     analytical

      ecological-correlation-polpulation

     cross sectional-prevalence-individual

      case control-case reference-individual

      cohort-follow up-individual

      prospective-Framingham heart study, Doll&Hills study on smoking&ca lung

      nested case control study

      retrospective-effect of fetal monitoring on neonatal death, PVC exposure&

    angiosarcoma liver  COmbine-COurt Brown&Doll study on radiation therapy

    experimental study

     randomised control trial-clinical trial-pt

     field trial-healthy people, introduce vacc for 1y old&see its efficacy

     community trial-community intervention study-community

    randomised control trial-dropout not excluded fr study

    accuracy to test association b/n risk factor&ds systematic review& metaanalysis>

     randomised control trial>

     retrospective cohort>

     prospective cohort>

     case cohort>

     cross sectional>

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     ecological

     

    yield=new case d/t screening

    →screen time=time(1st possible Dx final critical Dx)

    →lead time=time(1st possibl Dx usual time Dx)

    →serial interval=time(prim case sec case)→generation time=time(receipt of inf by host max infectivity)

     T interval=no. of d bed of hosp remain vacant

     incubat period≈generation time

     RR/risk ratio=incid(exposed)/incid(non exposed)

     AR=[incid(exposed)–incid(non exposed)]/incid(expos)

     popul AR=[incid(population)–incid(not exposed)]/incid(population)

    type of bias-technique

     selection-randomisation  surveillance/detection

      Neyman survival/incidence prevalence

      referral/volunteer

      response

     Berkesonian(hosp admission)

     recall(memory)

     bias d/t confounding-matching, multivariate analysis

     information-single blinding

     interviewer/observer-double blinding

     statician-triple blinding

     sensitivity=(true+ve/all ds)×100

     specificity=(true–ve/all not ds)×100

     +ve predictive value=(true+ve/all+ve)×100

     –ve predictive value=(true–ve/all–ve)×100

     diagnostic test-predictive value

     false+ve%=(FP/total not ds)×100=1–sPecificity

     false–ve%=(FN/total ds)×100=1–seNsitivity

     efficiency(accuracy)=all true/all pt

     likelihood ratio for +ve test=sensitivity/(1–specificity)

     likelihood ratio –ve test=(1–sensitivity)/specificity pretest probability=prevalence+clinical assessm

     posttest probability=pretest probability×likelihood ratio

    ↑ ↑ ↓sensitivity- TP- PPV

    ↑ ↑ ↓specificity- TN- NPV

     sensitivity,specificity-criterion validity

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    multiple Dx test

    ↓ ↑ ↑series- sensitivity, specificity, PPV

    ↑ ↓ ↑parallel- sensitivity, specificity, NPV

     best test to compare new&old test-Bland&Altman analysis

    sampling

     random/probability/nonpurposive-chance of being selected-same&known

      simple

      systematic

      stratified(heterogenous)

      multistage

     Cluster(homogenous-Cost effective)

     nonrandom/nonprobability/purposive

      convenient  quota/targetted

      snowball/network

      judgement

     PQLI=IMR+life expectancy at age 1y+literacy rate, range=0-100, India=65(rank-63)

      measure social, economic, politic policies

      does not measure economic growth

     HDI=GNI per capita+ life expectancy at birth+ (mean y of school, expected y of

    school), range0-1, India=0.545(rank-136)

      top-Norway, Australia, USA

      bottom-Congo, Nigeria human poverty index1=long&healthy life(probability at birth not surviving 40y)+

    knowledge(adult literacy rate)+ std of living(%of populat using improved H2O source+

    %child underwt for age), India=31.3%

    DALY(Disability Adjusted Life Y)=y of life lost+y lost to disability

     burden of ds in populat

     effectiveness of intervention

    DFLE(Disability Free Life Expectancy)/active life expectancy=no. of y expected free of

    disability if current pattern of mortality& disability continue to apply

    HALE(Health Adjusted Life Expectancy)=life expectancy–time spent in poor health

    QALY(Quality Adjusted Life Y)=no. of y added to life by intervention

    type of data(NOIR)

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     Nominal(mode)-mal/fem, black/white, rural/urban

     Ordinal(median)-1st,2nd, very satisfied,satisfied,dissatisfied

     Interval(mean)-90°C,100°C,110°C

     Ratio(mean)-pulse rate 90,100,110/min

    correlation graph-scatter plot(correlation diagram)

     +ve-change in same direction

     –ve-change in opposite direction

     r(Piersen correlation coefficient)

      r=+1-perfect +ve

      r=–1-perfect –ve

      r=0-no correlation

      –1≤r≤+1

     r²=coeff of determination

      0≤r²≤1 r2group

      ANOVA(F) test

     qualitative/categorical

      Pearson chi² test/Fisher exact test/Yate correction

    obesity

     BMI(Quetlet index)=wt(kg)/ht(m²)

     Brocca index-ideal wt(kg)=ht(cm)–100

     corpulence index-actual wt/desirable wt≤1.2

     Lorentz formula-ideal wt(kg)= ht(cm)–100–[{ht(cm)–150}/2(fem),4(mal)}]

     skinfold thickn(MC meth)

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      midtriceps(best)+biceps+subscapular+suprailiac ≥50mm(fem),≥40mm(mal)

      midtriceps≥18mm(mal), ≥32mm(fem)

     waist circumf(cm)

     World≥102(mal), ≥88(fem)

      India≥90(mal), ≥80(fem)

     waist/hip ratio>1.0(mal), >0.85(fem) waist/ht ratio(best CVS ds risk)≥0.5

    contracept effectiveness

     Pearl index

      potency of contraception=(total accident preg/no. of pt observed×mth of use)×1200

     life table analysis-best

    prot quality assessm

     digestibilty coefficient=(N2 absorbed/N2 intake)×100

     biological value=(N2 retained/N2 absorbed)×100 net protein utilization=(N2 retained/N2 intake)×100=(biological value×digestibility

    coefficient)/100

     protein efficiency ratio=wt gain(g)/prot intake(g)

     AA(chemical) score=[{(no. of AA/g prot)}/{(no. of same AA/g egg prot)}]×100

    prot quantity assessm

     prot energy ratio=(energy fr prot/total energy fr diet)×100

     1g prot=6.25g N2

     norm NPU=50-80

    relative humidity=H2O vapour content/H2O vapour capacity

    Box Whisker plot

     quartile

    forest plot

     represent result in systematic review& metaanalysis(best study design)

    funnel plot

     assess publication bias

    Kaplan Meier curve/product limit estimation survival fn fr lifetime data-#pt living for certain time after Rx

     X-time, Y-%of survival

     cox-proportion hazard model to control confounding factor in survival analysis

    Levy Jenning chart

     accuracy, quality monitoring

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    rate-numerator part of denominator, time is taken

     IMR, incidence

     

    ratio-numerator not part of denominator

     std mortality rate, risk ratio, sex ratio, dependency ratio, coefficient of variance,abortion ratio

    PRoportion-%

     case fatality rate, PRevalence

     abortion ratio=no. of abortion performed/no. of live birth

     age sp death rate=(death age grp/MYP of same age grp)×1000

     case fatality rate(CFR)=(death d/t ds/total case)×100

     child sex ratio=no. of fem(0-6y)/no. of mal(0-6y)

     child survival rate=(1000–under5 mortality rate)/10 crude birth rate=(8×TFR)+1

     crude death rate=(no. of death during 1y/MYP)×1000

     dependency ratio=[(0-14y+>65y)/(15- 65y)]×100

     general fertilty rate=(no. of child born/reproductive women)×1000

     gross reprod/fertility rate=no. of girl born/reproduct fem(no mortality)

     incidence rate(I)=(no. of new case during a period/population at risk)×1000

     maternal mortality RATE=(maternal death/reprod women)×1000

     maternal mortality RATIO=(mat death/live birth)×1lac

     net reproduct rate=no. of girl born/reproductive women(fix age sp fertility& mortality)

     1-4y mortality(child death) rate=(death 1-4y/total childr1-4y)×1000

     prevalenc ratio(P)=(total no. of all case/population at risk) P=I×duration of ds(time)

     proportional mortality rate=(death d/t ds/total death)×100

     sp death rate d/t caus=(no. of death d/t cause/MYP)×1000

     standardised mortality ratio=(observed death/expected death)×100

     survival rate=1–CFR

     total fertilty rate=no. of child born/reproductive women(fix age sp fertility rate)

     under5(child) mortality rate=(deathIMR

    malaria

     Annual Parasite Incidence(API)

      =(confirm case in 1y/populat)×1000

     Annual Bld Examinat Rate(ABER)

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