Research tools Flashcards
What is the standard error of the mean/ how to calculate?
Measures how much discrepancy is likely in a sample’s mean compared with the population mean
Standard deviation divided by square root of sample size
How do you calculate the chance of making a type 2 error/ what is a type 2 error?
Type 2 error = beta (failing to reject the null hypothesis when it is actually false i.e. false negative rate)
Sensitivity = power.
The higher the power/ sensitivity, the lower the chance of a type 2 error
1-power/sensitivity = P(type II error)/ beta
Power/ sensitivity = 1-P(type II error)/ beta
Incorrect acceptance of a null hypothesis
What is a type I error and how is it calculated?
Type I error = false positive rate
alpha (type I error) = 1- specificity
Incorrect rejection of a true null hypothesis
How to calculate true positive rate (TPR)
TRP = sensitivity = Power = 1- beta (FNR/ type II error)
How to calculate true negative rate (TNR)
TNR = specificity = 1-alpha (FPR/ type I error)
What is number needed to treat and how is it calculated?
Measure of effectiveness of an intervention: the number of subjects needed to receive an intervention for one event to be prevented/ occur
NNT= 1/AR
AR= absolute risk
AR = risk observed group - risk control group
Risk for each group= number of events occurring in that group divided by the total population.
The lower the NNT, the more effective the intervention.
Odds ratio
Odds of an event occurring in one group divided by the odds of it occurring in the other group
OR= odds observed groups/ odds control group (a/b)/(c/d)
a- number of subjects with event occurring in observed group
b- number of subjects without event occurring in observed group
c- number of subjects with event occurring in control group
d- number of subjects without event occurring in the control group
What is an ROC curve and what is on the axes?
Receiver operating characteristic curve: illustrates the performance of a binary classifier model at varying threshold values.
X axis: False positive rate (1-specificity)
Y axis: True positive rate (sensitivity)
The larger the area under the curve, the more accurate the test
Negative predictive value calculation
TN/ (TN+FN)
TN= true negative
FN = false negative
Term for condition in which statistical difference occurs purely by chance
Type 1 error
Relative risk calculation
Odd’s ratio calculation
Relative risk is the ratio of risk in an exposed group compared to a non-exposed group
RR = probability of an event when exposed/ probability of even in control group
Exposed & disease = a
Exposed & no disease = b
Control & disease = c
Control & no disease = d
RR = [a/(a+b)]/ [c/(c+d)]
OR = [a/b]/[c/d]
Incidence of ovarian cancer in UK
22 per 100,000
Risks associated with VBAC and statistics
2-3/10,000 additional risk of birth related perinatal death
8 in 10000 infant developing hypoxic ischaemic encephalopathy
22-74 in 10,000 risk of uterine rupture
1% additional risk of either blood transfusion or endometritis
Difference in risk of baby having breathing problems in VBAC vs repeat ELCS?
VBAC reduces the risk
Rates are 2-3% with VBAC compared to 3-4% with ELCS
Parametric vs non-parametric statistical tests
Parametric assume a normal distribution of population data. For example:
- Pearson (correlation test)
- T-test
- Analysis of variance (ANOVA)
- f-test
- z-test
Non-parametric can be used for populations that aren’t normally distributed.
For example:
- Spearman (correlation test)
- Mann Whitney
- Chi-squared
- Wilcoxon Signed Rank
- Fisher Exact Probability
- Kruskal Wallis
- Friedman