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Sample spaces, probability, random variables and probability distributions, standard discrete and continuous distributions, multivariate distributions, Central Limit Theorem, statistical inference, confidence intervals and hypothesis testing, linear regression, inference in the linear model.

Descriptive Statistics
Elements of Probability
Random variables
Special discrete and continuous probability distributions
The Normal distribution. Sampling distributions.
Inferences concerning a mean (confidence intervals)
Inferences concerning a mean (hypothesis tests)
Inferences concerning proportions, variances and differences in means.
Regression analysis
Analysis of Variance

2099

Data and Distributions, Intro to densities

Distributions, including normal, exponential,binomial and Poisson

Numerical summaries of data. Correlation and regression.

Probability concepts

Random variables and sampling distributions

Quality and Reliability. Parameter Estimation.

Confidence Intervals. Hypothesis testing.

The analysis of variance

Inferential methods in Regression and Correlation one predictor

Inferential methods in regression and correlation many predictors

Data collection

Experimental design

C

Randomized experiments vs. Observational studies

Descriptive statistics

Introduction to R

Correlation

Measurement

Correlation analysis in R

Regression

Multiple regression

Multiple regression analysis in R

Mediation

Moderation

Mediation & moderation analysis in R

Student's t-test

Analysis of Variance (ANOVA)

ANOVA and t-tests in R

Factorial ANOVA

Model comparison

Factorial ANOVA in R

K P

Joint and Conditional Probability Random Variables Moments and Moment Generating Functions Standard Discrete Distributions Standard Continuous Distributions Useful Theorems: Central Limit Theorem

Jointly Distributed Random Variables

K S

Sampling a Population {Descriptive statistics} &nbsp {Inferential statistics}&nbsp Testing Hypothesesabout Outcomes of Experiments Independence and Dependence: Regression and Correlation Comparing Multiple Outcomes Simultaneously: Analysis of Variance Design of Experiments Dealing with Large Data Sets Common Mistakes in Statistical Analysis

Resources

Probability and Statistics Cookbook

NIST Engineering Statistics Handbook

StatSoft Electronic Statistics Textbook

Introduction to Probability and Statistics Using R

statistics resources