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Advanced Statistics for Interventional Cardiologists Why waisting time with advanced statistics? BMJ 2003 What you will learn • • • • • • • • • • • • • • • Introduction Basics of multivariable statistical modeling Advanced linear regression methods Hands-on session: linear regression Bayesian methods Logistic regression and generalized linear model Resampling methods Meta-analysis Hands-on session: logistic regression and meta-analysis Multifactor analysis of variance Cox proportional hazards analysis Hands-on session: Cox proportional hazard analysis Propensity analysis Most popular statistical packages Conclusions and take home messages 1st day 2nd day What you will NOT learn – as some knowledge is necessary for this course! • • • • • • • • Descriptive statistics Probability distributions Inferential statistics Finding differences in mean between two groups Finding differences in mean between more than 2 groups Linear regression and correlation for bivariate analysis Analysis of categorical data: contingency tables Analysis of time-to-event data: survival analysis BUT IF YOU ARE STILL INTERESTED, ASK MEDTRONIC TO SPONSOR YOU FOR THE UPCOMING BIOSTATISTICS COURSE DUE IN JUNE 2009 What you will learn • • • • • • • • • • • • • • • Introduction Basics of multivariable statistical modeling Advanced linear regression methods Hands-on session: linear regression Bayesian methods Logistic regression and generalized linear model Resampling methods Meta-analysis Hands-on session: logistic regression and meta-analysis Multifactor analysis of variance Cox proportional hazards analysis Hands-on session: Cox proportional hazard analysis Propensity analysis Most popular statistical packages Conclusions and take home messages 1st day 2nd day Science or fiction? There are three kind of lies: lies, damn lies, and statistics B. Disraeli Knowledge is the process of piling up facts, wisdom lies in their simplification M. Fisher What is statistics? DEFINITIONS • A whole subject or discipline • A collection of methods • Collections of data • Specially calculated figures What is statistics? DEFINITIONS • A whole subject or discipline • A collection of methods • Collections of data • Specially calculated figures A collection of methods Statistics is great Find out stuff – Finding stuff out is fun • Feel like you have done something • It’s small, but it’s something Understand stuff – When are we being deceived – Support, or illumination? Ultimate goal: appraisal of causation Methods of inquiry Statistical inquiry may be… Descriptive (to summarize or describe an observation) or Inferential (to use the observations to make estimates or predictions) Descriptive statistics 100 100 AVERAGE Samples and populations This is a sample Samples and populations And this is its universal population Samples and populations This is another sample Samples and populations And this might be its universal population Samples and populations But what if THIS is its universal population? Samples and populations Any inference thus depend on our confidence in its likelihood Inferential statistics If I become a scaffolder, how likely I am to eat well every day? P values Confidence Intervals Inferential statistics Mauri et al, New Engl J Med 2007 Inferential statistics Mauri et al, New Engl J Med 2007 Focus on p values Mauri et al, New Engl J Med 2007 Focus on confidence intervals Mauri et al, New Engl J Med 2007 Types of variables Variables CATEGORY nominal QUANTITY ordinal discrete continuous ranks counting measuring TIMI flow Stent diameter Stent length BMI Blood pressure QCA data (MLD, late loss) Death: yes/no TLR: yes/no ordered categories Paired vs unpaired data Variables PAIRED OR REPEATED MEASURES eg • blood pressure measured twice in the same patients at different times • MLD measured at different times in the same segment UNPAIRED OR INDEPENDENT MEASURES eg • blood pressure measured in several different groups of patients only once • MLD measured at the same time in different vessels For further slides on these topics please feel free to visit the metcardio.org website: http://www.metcardio.org/slides.html