The Big Picture Probability Statistical inference always involves an argument based on probability. Recall the following important points about probability • Probability is a measure of how likely an event is to occur. • We can make probability statements only about random events. Random here means that the outcome ...
Historical Aspect • The term statistical significance was coined by Ronald Fisher(1890-1962). • Student t-test : William Sealy Gosset. 2 Basis of Statistical Inference Statistical inference (a conclusion reached on the basis of evidence and reasoning) is the branch of statistics which is concerned with using probability concept to deal ...
Meet the Instructors CYNTHIA GARVAN, MA, PHD TERRIE VASILOPOULOS, PHD Research Assistant Professor in Anesthesiology Research Professor in Anesthesiology and Orthopaedics and Rehabilitation Course Objectives Review fundamentals of study design and research methodology Understand how to choose best statistical test for your research question Practice basic statistical analysis use JMP ...
Outline • Statistical inference • Hypothesis testing • Type I and type II errors • Student t test • ANOVA • Parametric vs non-parametric tests Importance of biostatistics • Diabetes type 2 study – Experimental group: Mean blood sugar level: 103 mg/dl – Control group: Mean blood sugar level: 107 ...
Meet the Instructors CYNTHIA GARVAN, MA, PHD TERRIE VASILOPOULOS, PHD Research Assistant Professor in Anesthesiology Research Professor in Anesthesiology and Orthopaedics and Rehabilitation Course Objectives Review fundamentals of study design and research methodology Understand how to choose best statistical test for your research question Practice basic statistical analysis use JMP ...
What may happen in this session. • Data • Questions and PPDAC • Bootstrap idea • Bootstrap confidence interval • (CLT, normal and CI ) • Contextual information • Census at School resources • Level 2, level 1, Year 9 and 10. What are we learning? • The bootstrap idea ...
CSE 544, Fall 2018 Probability and Statistics for Data Science What is Data Science? Analysis of data (using several tools/techniques) Statistics/Data Analysis + CS 2 CSE 544, Fall 2018 Probability and Statistics for Data Science Who is a Data Scientist? Someone who is better at stats than the average CS ...
Confidence Intervals for the Mean (Large Samples) 2 Next • In this chapter, you will learn an important technique of statistical inference—to use sample statistics to estimate the value of an unknown population parameter. 3 Next • In this section, you will learn how to use sample statistics to ...
A few basic stats • Expected value of a random variable – –example of Bernoulli and Binomal • Variance of a random variable –example of Bernoulli and Binomial • Correlation coefficient (same as Pearson correlation coefficient) • Formulas: –Covariance(X,Y) = E((X-μ )(Y-μ )) X Y &ndash ...
Outline of this section • Assumptions for parametric data • Comparing two means: Student’s t-test • Comparing more than 2 means • One factor: One-way ANOVA • Two factors: Two-way ANOVA • Relationship between 2 continuous variables: Correlation Introduction • Key concepts to always keep in mind –Null ...
Outline • Where are we up to? Part 1 • Hypothesis Testing • Multiple Comparisons vs Topological Inference • Smoothing Part 2 • Random Field Theory • Alternatives • Conclusion Part 3 • SPM Example Part 1: Testing Hypotheses Where are we up to? fMRI time-series Kernel Design matrix Statistical ...
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