Course Notes

Overview of Statistics

A brief overview of statistics

Presentation of Data

This chapter covers the presentation of data

Numerical Measures of Data

This chapter covers the measures of central tendency, spread, and relative standing

Correlation and Linear Regression

This chapter covers the basics of correlation, simple linear regression, the least squares method, and the coefficient of determination.

Probability Theory

This chapter covers the basics of probability, counting techniques, the addition and multiplication rules, and conditional probability, independence, and Bayes' theorem

Discrete Random Variables

This chapter covers the probability mass function, probability distribution, and expected value of a discrete random variable, and the binomial distribution.

Continuous Random Variables

This chapter covers the probability density function, probability distribution, and expected value of a continuous random variable, and the normal distribution.

Sampling Distributions

This chapter covers the sampling distribution of the sample mean, the central limit theorem, and the sampling distribution of the sample proportion.

Estimation

This chapter covers point estimation, interval estimation, and the properties of point estimators.

Hypothesis Testing

This chapter covers the basics of hypothesis testing, the p-value, and the power of a test.

Chi-Square Tests

This chapter covers the chi-square test for independence, the chi-square test for goodness of fit, and the chi-square test for homogeneity.