Stats Flashcards
How to relate prevalence and incidence
Prevalence = incidence x duration
Prevalence- diseased / everyone
Incidence- new cases over certain time period
Formula for incidence vs. prevalence
Incidence = new cases over a specific time frame
Prevalence = rate of disease / all population
ex] sick / (sick plus well)
When does mortality start to equal incidence
Mortality approaches incidence if high case rate mortality and short duration of illness
Formula for sensitivity
Sensitivity= (SnOut)- chance of positive test if you have disease
- probability test will be positive when disease is present
Sensitivity = True Pos / (True pos plus false neg)
SN = a / (a + c)
Formula for specificity
Sensitivity = SpOut- chance of not having disease given a negative test
- probability test result negative when disease not present
Specificity = (true neg) / (true neg plus false pos)
SP = d / b + d
How to change the
(a) Sensitivity/specificity
(b) PPV/ NPV
(a) Changing the cutoff of positive or negative value
-otherwise is fixed!
(b) While PPV/NPV will change based on prevalence of disease in a population
Formula for positive predictive value
PPV = chance disease is present when test is positive
PPV = true pos / (true pos plus false pos)
PPV = a/ a + b
Formula for negative predictive value
NPV = chance disease not present when test is negative
NPV = true neg / (true neg plus false neg)
Increased prevalence would increase or decrease
(a) PPV of a test
(b) NPV
(c) Sensitivity
(d) Specificity
Increase prevalence (amount of ppl with illness)
(a) Increases positive predictive value = chance of having disease if test is positive
(b) Decreases NPV (chance of not having disease is test is negative
(c, d) does not change sens/spec b/c those are specific to the test
What is a positive likelihood ratio?
(a) Formula with respect to true pos/neg
(b) Formula with respect to Sn/Sp
PLR = ratio of positive test result given presence vs. absence of disease
PLR = (true pos rate) / (false pos rate) = sensitivity / (1- specificity)
What is a negative likelihood ratio?
(a) Formula with respect to true pos/neg
(b) Formula with respect to Sn/Sp
NLR = chance of negative test with presence vs. absence of disease
NLR = (false neg rate) / (true neg rate) = (1- sensitivity) / specificity
Differentiate lead-time and length-time bias
Biases with screening tests
Lead-time bias: survival (time from diagnosis to death) prolonged only because you diagnosed earlier, not b/c you delayed death
-lead time due to earlier Diagnosis, no real delay in survival
Length time bias- overestimation of survival (ppl who survive / ppl with disease) b/c detecting more earlier/slowly progressive cases (increasing the denominator)
-ex: more ppl with breast CA survive if you include DCIS cases that you detect early, but they weren’t going to die from the DCIS anyway
Gold standard for types of trials
(a) Observational
(b) Experimental
Gold standard for the two types of trials: experimental when the researcher alters the exposure
(a) Observational- no intervention, just see what happens based on different exposures- cohort study (prospective, take group exposed and those not then look forward to see outcome) preferred over case-control (retrospective, collect outcome and controls then look backwards at who was exposed to risk factor)
(b) Experimental- you change something about their exposure- RCTs (duh)
Differentiate case-control and cohort studies
Cohort (gold standard of observational): take ppl with and without exposure and see who gets disease prospectively
ex] take some patients given them statins, others not, follow with time and see who gets ASCVD
ex] fellows who used and didn’t use ultrasound, compare CVL complication rate
Case-control study: see ppl who do and don’t have disease, then look back (retrospectively) and see who was exposed
ex] lung CA and non-lung CA, look back to see who was exposed to agent orange
Compare cross-sectional study to case-control study
Cross-sectional: exposure and outcome measured at same time
ex: sample of nonsmoking vets asked if they had exposure to burn pits and if have been diagnosed with lung CA
Case-control: retrospective observational, certain disease (cases) and controls (w/o disease) then look back to see if exposed to risk factor
ex: vets with lung CA, look back to see if exposed to agent orange f
Differentiate relative risk and odds ratio
Relative risk- (risk in exposed/treated) / (risk in unexposed/untreated)
-used in cohort study (
ex: RR over 1- higher chance of disease if exposed
ex: RR less than one- lower chance of disease in exposed (ex: rate of ASCVD in ppl who exercise frequently)
- derived from prospective case-control, not from retrospective cohort studies
vs.
odds ratio- odds of disease in exposed vs. unexposed
-used for both cohort and case-control studies
Odds ratio approaches relative risk if the sampled population is representative of the general population