biostatistics notes for pg
TRANSCRIPT
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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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8/17/2019 Biostatistics Notes for Pg
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8/17/2019 Biostatistics Notes for Pg
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