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What are the two types of continuous data?
interval data
ratio data
What is the definition of continuous data?
logical order with values that continuously increase or decrease by the same amount
What type of continuous data has no meaningful zero?
interval data
What are some examples of interval data?
temperature
What type of continuous data has a meaningful zero?
ratio data
What are some examples of ratio data?
heart rate
blood pressure
What are the two types of discrete data?
Nominal
Ordinal
What is another name for discrete data?
Categorical data
What is the definition of nominal data?
subjects are sorted into arbitrary categories
What is an example of nominal data?
male or female
What is the definition of ordinal data?
ranked with a logical order, categories do not increase by the same amount
What is an example of ordinal data?
pain scale; pain does not double for 2 to 4
What are measures of central tendency?
typical descriptive values including the mean, median, and mode
What is the mean?
An average, all of the values are added up and divided by the number of vavlues.
What type of data is the mean preferred for?
continuous data that is normally distributed
What is the median?
value in the middle when values are arranged lowest to highest
What type of data is the median preferred for?
ordinal data
skewed continuous data
What is the mode?
value that occurs most frequently
What type of data is the mode preferred for?
nominal data
What methods are used to describe the variability or spread of data?
Range
Standard deviation (SD)
What is the range?
difference between highest and lowest values
What does the standard deviation indicate?
how spread out the data is and to what degree it is away from the mean
What percentage of values fall within 1 standard deviation of the mean in normally distributed data?
68%
What percentage of values fall within 2 standard deviations of the mean in normally distributed data?
95%
What factors can cause skewed data?
small sample size
outliers in data
High values cause what kind of skew?
right
positive skew
Low values cause what kind of skew
left
negative skew
What type of variable is changed by the researcher?
independent variable
What does a trial need to demonstrate to show significance?
That the null hypothesis is not true and should be rejected
What is a null hypothesis?
No statistically significant difference between grouops
What is an alternative hypothesis?
there is a statistically significant difference between groups
What is the alpha level?
maximum permissible error margin.
Threshold for rejecting null hypothesis
To reject a null hypothesis what must be the p-value be in regard to the alpha?
p-value less than alpha
How is the confidence interval calculated?
CI = 1 - alpha
What is a type 1 error?
false positive. When the null hypothesis was rejected in error.
What is a type 2 error?
when a null hypothesis is accepted when it should have been rejected.
What is study power?
probability that a test will reject the null hypothesis. Used to avoid type 2 error.
What is power determined by?
- outcome values
- difference in outcome rates between groups
- alpha level
What is the formula for relative risk?
(# subjects in group with unfavorable event) / (total # of subjects in group)
What is the risk ratio formula?
(risk in treatment group) / (risk in control group)
What does an RR of 1 indicate?
no difference in risk of outcome between groups
What does an RR over 1 indicate?
greater risk of outcome in treatment group
What does an RR under 1 indicate?
lower risk of outcome in treatment group
What is the definition of relative risk reduction?
indicates how much the risk is reduced in treatment compared to placebo
What is the formula of relative risk reduction?
(% risk control - % risk treatment)
/
(% risk control OR
1 minus RR (decimal))
What is the formula for absolute risk reduction?
(% risk control)
-
(% risk treatment)
Why is absolute risk reduction useful?
it includes reduction in risk and the incidence rate of the outcome
What is the formula for number needed to treat?
NNT
1 / (risk in control - risk in treatment)
1 / ARR
**Risk and ARR expressed as decimals
How does rounding work for the number needed to treat?
round UP to the nearest whole number
What is the formula for number needed to harm?
NNH
1/(risk in control - risk in treatment)
ARR
**Risk and ARR expressed as decimals
How does rounding work for the number needed to harm?
round DOWN to the nearest whole number
When is odds ratio calculated?
to estimate the risks associated with a treatment and calculate the odds of an outcome occurring with an exposure compared to no exposure
What is the formula for odds ratio?
OR = AD/BC
A = # outcome w/ exposure
B = # w/o outcome w/ exposure
C = # w/ outcome w/o exposure
D = # w/o outcome w/o exposure
What is the hazard ratio?
the rate an unfavorable event occurs within a short period of time
What is the formula for hazard ratio?
HR = HR in treatment / HR in control
What does it mean if OR or HR is 1?
event rate is the same in treatment and contrl
What does it mean if OR or HR is above 1?
event rate in treatment group is higher than control
What does it mean if OR or HR is less than 1?
event rate in treatment group is lower than control
What is a primary endpoint?
main result that is measured to see if treatment has a significant benefit
What is a composite endpoint?
Combine multiple individual endpoints into one measurement
When should parametric methods be used?
For normally distributed, continuous data
When should nonparametric methods be used?
For data that is not normally distributed and continuous
What is a T-test?
parametric method used when endpoint has continuous data
When is a one-sample T-test performed?
For a single sample group that is compared with known data from the general population
When is a paired T-test used?
for a single sample group for a pre/post measurement
When is a student T-test used?
when the study has two independent samples. The treatment and control group.
When is ANOVA used?
With continuous data with 3 or more samples or groups
What type of data is a Chi-square test used for?
nominal data
ordinal data
What is correlation?
technique used to determine if one variable changes or is related to another variable
What is regression?
describes the relationship between a dependent variable and one or more independent variables
When is regression common?
When multiple independent variables are assessed or when there is a need to control many confounding factors
What is sensitivity?
how effectively a test identifies patients with a condition
What is the formula for sensitivity?
A / (A + C)
A = # with condition and positive test
C = # with condition and negative test
What is specificity?
how effectively a test identifies a patient without the condition
What is the formula for specificity?
D / (B+D)
D = # without condition, negative test
B = $ without condition, positive test
What data is included in intention to treat?
Data for all patients allocated to each treatment group regardless if they completed the trial according to protocol
What data is included in per protocol analysis?
subset of the trial population who completed the study according to protocol
Which type of analysis gives a real world estimate of treatment effect?
intention to treat
Which type of analysis gives an optimistic estimate of the treatment effect?
per protocol
What is the purpose of an equivalence trial?
To show that the new treatment roughly has the same effect as the old treatment
What is the purpose of non-inferiority trials?
to show that the new treatment is no worse than the current standard
What do the boxes, diamonds, and horizontal/vertical lines show in a forest plot?
Box = show the effect estimate
Diamond = pooled results from multiple studies
Horizontal = length of the CI for the endpoint
Vertical = line of no effect
What is a case-control study?
retrospective. Compare cases to controls
What is a cohort study?
retrospective or prospective. Compare patients with exposurer to those without.
What is a limitation of cohort studies?
influence of confounders affecting the outcome
What is a randomized controlled trial?
prospective. Compare patients who were randomly assigned to groups
What is a meta-analyses?
analyze results of multiple studies
What is an advantage of meta-analyses?
allows for greater power
What is the ECHO model?
economic
clinical
humanistic
outcomes
Assesses outcomes associated with diseases and treatments
What is the definition of a cost-minimization analysis?
used when two or more interventions have demonstrated equally in outcomes and costs of each intervention are being compared.
What is the definition of cost-benefit analysis?
systematic process for calculating and comparing benefits and costs of an intervention in terms of monetary units
What is the definition of cost-effectiveness analysis?
used to compare the clinical effects of two or more interventions to the respective costs.
What is the definition of cost-utility analysis?
includes quality of life component of morbidity assessments using common health indices such as quality adjusted life years and disability adjusted life years.