#### 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

Test your knowledge of the skills in this course. Have a test coming up? The Course challenge can help you understand what you need to review.

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