Statistics and probability
Course Description
Analyzing categorical data
Analyzing one category variable
Two way table
Distribution in two variable
Displaying and comparing quantitative data
Displaying quantitative data with graph
Describing and comparing distributions
More on data display
Summarizing quantitative data
Measuring center in quantitative data
More on mean and medium
Interquartile range(IQR)
variance and standard deviation of a population
variance and standard deviation of a simple
More or standard deviation
Box and whisker
other measure of spread
Modeling data distributions
Percentiles
Z-scores
Effect of linear transformation
Density curves
Normal distribution and the empiricial rule
Normal distribution calculation
More on normal distribution
Exploring bivariate numerical data
introduction to Scatterplots
Correlation Coefficient
Introduction to trend line
Least square regression equation
Assecing the fit least-square resgression
More on regression
Study design
statistical question
sampling and obersvational studies
sampling method
types of studies
Experiment
Probability
Basic theoretical probability
Probability using sample space
Basic set operation
Experimental probability
Randomness ,probability ,and simulation
Additional rule
multiplication rule for independent event
multiplication rule for dependent event
conditional probability and independence
Counting, permutations, and combinations
counting principle and factorial
Permutations
Combinations
Combinatorics and probability
Random variables
Discrete random variable
Continuous random variable
Transforming random variable
combining random variable
Binomial random variable
Binomial mean and standard deviations formulas
More on expected value
Poisson distribution
Sampling distributions
What is sampling distributions ?
Sampling distributions of a sample proportion
sampling distributions of a sample mean
Confidence intervals
Introduction to confidence interval
Estimating a population proportion
Estimating a population mean
More confidence interval video
Significance tests (hypothesis testing)
The idea of singnificance test
Error probability and power
Test about a population proportion
Test about a population mean
More significance testing video
Two-sample inference for the difference between groups
Comparing two proportion
Comparing two mean
Inference for categorical data (chi-square tests)
Chi-square goodness -of-fit tests
Chi-square for test relationship
Advanced regression (inference and transforming)
Inference about slope
Non linear regression
Analysis of variance (ANOVA)
Analysis of variance (ANOVA)
COURSE CHALLENGES
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