Exam 2 Flashcards
Hazard ratio 95% CI
Should not include 1
How do you get a Hazard ratio?
Cox Proportional Hazard Regression
Time to event (survival) outcome
Dichotomous independent variable
Clinical questions answered by survival analysis
Estimate time-to-event for a group of individuals
Compare time to event between two or more groups
Assess the relationship of co-variables in time to event
Why use survival analysis?
Using a t-test or linear regression ignores censoring (the time people spent in the study before drop out).
Same reason as to why we don’t use risk/odds ratios or logistic regressions
Censoring
Subjects are said to be censored if they are lost to follow up or drop out of the study or if the study ends before they die or have the outcome of interest. They are counted as alive and disease-free for the time they were enrolled in the study.
This is why survival analysis is so popular.
What is survival analysis?
Models time to failure or time to event.
-Unlike linear regression, it has a dichotomous (binary) outcome.
Able to account for censoring
Can compare survival between 2+ groups
Assess relationship between covariates and survival time.
How do you report survival analysis?
Kaplan-Meier curve Median survival time Restricted mean survival time (RMST) Measures in follow-up time Hazard Ratios
Kaplan-Meier curve
Horizontal axis: ALWAYS time
Vertical axis: A measure of survival
Each drop in curve represents that at that point in time an event happened.
Many graphics are truncated (do not show 0)
Vertical lines represent censored observations. This gives you an idea of when you started losing patients.
Dependence Scale
Time to event analysis
An easier to read kaplan-meier curve
Assesses 6 levels of functional dependence. Time to event is the time loss of 1 dependence level (increase in dependence)
Key points for Kaplan-meier curves
Make sure to read the axis labels carefully
See the marks and labels on the horizontal axis
Labels should represent MEANINGFUL time points
-Example- yearly for a 5 year study and every 5 years for a 20 year study
Survival curves are less precise at the end because of fewer subjects.
Hypothesis testing in survival analysis
H0= S1(t)= S2(t)
Time to event outcome, dichotomous predictors
Analysis: log rank test
Reject the null if p-value is less than 0.05
When critiquing survival analysis articles:
Look at censoring- there should be a description of how censoring arose.
Beware of comparison of rates at the end of the study.
Median survival time
The estimated time point at which 50% of the study population has experienced the event (or still alive) or time when probability of surviving is 0.5.
Median time to the primary endpoint.
What happens if >50% of the study population has not experienced the event at end of study?
Report 25% survival time instead
Restricted Mean Survival Time (RMST)
The calculation of the MST requires the estimation of the entire survival function.
This is almost impossible due to drop out and limited f/u.
This is why RSMT is so popular. It is the estimate of the mean survival times in a restricted (truncated) time interval.
“Among those in the study who had an event within the first 24 years, the average time (mean) to event is 20.1 years.”
Measures of follow-up time
Incomplete and differential follow-up between the primary comparison groups can lead to informative censoring and bias and bias may be overlooked if no summary measure of f/u
Hazard ratio is used for what?
To adjust for predictors/ confounders and censoring.
Interpret as any other rate ratio.
The point estimate indicates that at any point tin time the hazard of (outcome) for the intervention is (XX) times the hazard for the comparison group.
Intersection in kaplan-meier curves
When 2 curves never intersect they are likely to be statistically significant
Systematic Review
A systematic review is a clearly formulated question that uses systematic and explicit methods to identify, select and critically appraise relevant research, and to collect and summarize the data from the included studies.
Key characteristics of a systematic review
Objectives- clear, pre-defined
Methodology- Explicit and reproducible
Comprehensive-Attempts to identify all studies that would meet the eligibility criteria
Validity
What is a meta analysis?
- ) Answers a focused clinical question
- ) Searches the medical literature
- ) Assesses studies for inclusion and quality
- ) Mathematically combines the results of studies to determine a statistical summary statistic.
Medical analysis goals
Resolve clinical controversy
Provide a summary statistic
Increase precision (narrow CI) around a summary statistic by increasing ss
When are meta-analyses useful?
Quantitative and objective assessment
Useful when the results of previous trials are inconclusive or contradictory
Useful when ss is small
However- the quality of a meta analysis depends on the quality of the studies in it.
Unlike systematic reviews, practice guidelines use what?
Consensus opinion when evidence is insufficient.
Evidence based medicine steps
Ask and appropriate answerable question
Find the evidence- PubMed/filter
Apprise the evidence- validity, statistical sig, etc.
Apply evidence to practice.
Apprising the evidence of a systematic review
1.) What question did the systematic review/MA address?
It should be clear and focused
It should describe the population, intervention/exposure, and outcomes of interest.
2.) Look to see if a comprehensive search of all relevant studies (published and unpublished) were identified. Search strategy should include both controlled vocab terms and text words
Were the criteria used to select articles for inclusion predetermined, clearly stated, and appropriate? Inclusion and exclusion criteria should be clearly defined.
3.) Assess publication bias
4.) Determine validity
5.) Were the results similar from study to study?
-Results should be homogenous
Funnel plot
A method to visually inspect the studies in a MA and determine if publication bias exists.
Y axis- sample size
X axis- summary statistic (odds ratio)
The results of large studies show lower variability and are clustered together at the top of the funnel. The results of small studies show greater variability and are spread out at the bottom of the funnel.
This inverted funnel shape means that publication bias was unlikely.
Statistical test assessing publication bias
Beggs test
p<0.05 is significant for publication bias
How do you determine validity of a MA?
RCTs- Jadad score, Cochrane risk of bias
Diagnostic studies- modified QUADAS checklist
Reporting results in a systematic review
Report study characteristics- study size, f/u, PICOs, and include citations
Risk of bias w/in studies
Results in individual studies
Reporting results in a meta analysis
Everything from systematic review PLUS
Forest plot
Risk of bias
Additional analysis
Forest plot
Graphically assess the heterogeneity of study results
X axis- summary statistic
Y axis- Odds ratio of one. An odds ratio of one indicates no difference. If the forest plot has a mean the line of no effect is 0.
Results to the right of 1 favor the intervention and those to the left favor control/
Forest plot- heterogeneity
If no heterogeneity - Similar in magnitude -Similar in direction of effect - Overlapping CIs If these are present the studies can be combined.
What do we do if 1 study represents heterogeneity?
Propose possible subgroups pre-analysis
Re-examine study
Consider sensitivity analysis- summary statistic with/w/o Study
Statistical heterogeneity
Amount of variation in treatment effect present in MA beyond chance
Examined and quantified using statistical tests.
Best choice for MA
Cochrane Q test (chi-square test)- significant p value =heterogeneity. Only tells you yes/no.
I^2 value
I^2 value
Percentage of total variation across studies that is attributable to heterogeneity rather than chance. Ranges between 0 and 100% Typically, if I^2 <25%= homogenous 50% moderate >75%= high heterogeneity
Goals of CPGs
Improve quality of patient care Reduce unnecessary variation in practice Lessen disparities in practice Empower patients Influence public policy.
Who develops CPGs?
Governmental organizations
Professional organizations