Type I Error
FP; we reject Ho when we shouldn’t (if Ho is not false)
There’s no relationship but you found one.
Smoking does not cause cancer but you found that it did.
Type II Error
FN; we fail to reject Ho when we should
There’s a relationship there but you didn’t find one.
Smoking does cause cancer but you don’t find more cancer in smokers.
Alpha
Willingness to reject the null hypothesis when we shouldn’t (type I error); willingness to be wrong.
There really is no association but our results show an association just by chance.
Beta
willingness to make type II error (failing to reject false Ho)
Ho
Null hypothesis (no association)
HA
Alternative hypothesis
Palpha
probability of a false positive study
if Pa=0.05, there is a 5% chance we will report a difference that occured by chance alone
Pbeta
probability of a false negative
if Pbeta= 0.10, then 10% chance we will fail to detect a difference that is real
Power
ability to detect or verify a difference that is real
Power = 1 - Pbeta (or 1-beta)
Ability to avoid a type II error
If you reject Ho, then by definition you cannot lack power (even if n is small)
What to consider when Ho is not rejected
What to consider when Ho is rejected
T-test
t=
meanA - meanB / (varA + varB).5
df
df= nA-1) + (nB-1)
critical value
Mann Whitney U test
Relative Risk
a/(a+b)
_______________
c/ (c+d)
Differential (regarding error)
misclassifies subjects differently depending on exposure and/or outcome - biases result in one direction or the other
Nondifferential
tends to bias results toward the null
can be systematic or random error
Confounding Variable
Must be associated with independent variable and the dependent varible; cannot be in the causal pathway btwn exposure and disease
Which designs would you use to answer the fundamental questions of:
Disease Prevalence
Prevalence =
(# of ppl with diease at a given pt in time)/
(total # of ppl in pop)
Disease Incidence
cumulatie incidence =
(# of new cases) / (# of ppl at risk of developing the disease over a defined time)
Incidence Rate
rate at which new diesease has occurd in the pop at risk per some time unit