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Course Outline

Statistics & Probabilistic Programming in Julia
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Basic Statistics
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  • Statistics
    • Summary Statistics using the statistics package
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    • Distributions & StatsBase package
      • Univariate & multivariate distributions
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      • Moments
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      • Probability functions
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      • Sampling and RNG
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      • Histograms
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      • Maximum likelihood estimation
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      • Product, truncation, and censored distributions
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      • Robust statistics
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      • Correlation & covariance
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        DataFrames
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        (DataFrames package)
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        • Data Input/Output
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        • Creating Data Frames
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        • Data types, including categorical and missing data
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        • Sorting & joining data
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        • Reshaping & pivoting data
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          Hypothesis Testing
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          (HypothesisTests package)
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          • Principle outline of hypothesis testing
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          • Chi-Squared test
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          • z-test and t-test
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          • F-test
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          • Fisher's exact test
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          • ANOVA
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          • Tests for normality
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          • Kolmogorov-Smirnov test
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          • Hotelling's T-test
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            Regression & Survival Analysis
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            (GLM & Survival packages)
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            • Principle outline of linear regression and exponential family
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            • Linear regression
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            • Generalized linear models
              • Logistic regression
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              • Poisson regression
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              • Gamma regression
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              • Other GLM models
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              • Survival analysis
                • Events
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                • Kaplan-Meier estimator
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                • Nelson-Aalen estimator
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                • Cox Proportional Hazard model
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                  Distances
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                  (Distances package)
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                  • Understanding distance metrics
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                  • Euclidean distance
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                  • Cityblock distance
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                  • Cosine distance
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                  • Correlation distance
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                  • Mahalanobis distance
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                  • Hamming distance
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                  • MAD (Mean Absolute Deviation)
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                  • RMS (Root Mean Square)
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                  • Mean squared deviation
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                    Multivariate Statistics
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                    (MultivariateStats, Lasso, & Loess packages)
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                    • Ridge regression
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                    • Lasso regression
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                    • Loess smoothing
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                    • Linear discriminant analysis
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                    • Principal Component Analysis (PCA)
                      • Linear PCA
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                      • Kernel PCA
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                      • Probabilistic PCA
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                      • Independent Component Analysis (ICA)
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                      • Principal Component Regression (PCR)
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                      • Factor Analysis
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                      • Canonical Correlation Analysis
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                      • Multidimensional scaling
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                        Clustering
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                        (Clustering package)
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                        • K-means clustering
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                        • K-medoids clustering
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                        • DBSCAN
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                        • Hierarchical clustering
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                        • Markov Cluster Algorithm
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                        • Fuzzy C-means clustering
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                          Bayesian Statistics & Probabilistic Programming
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                          (Turing package)
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                          • Markov Chain Monte Carlo (MCMC)
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                          • Hamiltonian Monte Carlo (HMC)
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                          • Gaussian Mixture Models
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                          • Bayesian Linear Regression
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                          • Bayesian Exponential Family Regression
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                          • Bayesian Neural Networks
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                          • Hidden Markov Models
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                          • Particle Filtering
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                          • Variational Inference

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Requirements

This course is intended for individuals who already have a background in data science and statistics.
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 21 Hours

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