Using R for Introductory Statistics

Using R for Introductory Statistics Chad Birger University of Sioux Falls

Statistics at USF • Courses Taught: • MAT233: Introduction to Statistics • MAT302: Probability and Statistics

Introduction to Statistics • Three Main Units: • Data and Descriptive Statistics • Probability • Basic Inferential Statistics

Data • Methods of Data Entry: • Using a list to enter data: • Using the scan() function: • Reading in from a database table

Graphing Data • Categorical Data: • Table • Bar-plot • Pie Chart • Numerical Data: • Stem-plot • Histogram • Box-Plot

Measures of Center • Mean • Median • Mode • Midrange

Measures of Variation and Position • Sample Variance • Sample Standard Deviation • Quartiles and Quantiles • Five-number summary • Percentiles • Inner Quartile Range • Z-scores

Paired Categorical Data

Paired Numerical Data • Scatter-plot of paired data • Correlation Coefficient • Linear Regression Line

Probabilities • R has functions built in for most “families” • “d”: Returns the p.d.f. of the distribution • “p”: Returns the c.d.f. of the distribution • “q”: Returns the quantiles • “r”: Returns random samples from a distribution

And Much more • Simulation • Confidence Intervals • Significance Tests • Goodness of Fit • Linear Regression • Analysis of Variance • …

Using R • Advantages of using R for an Introductory Statistics Course: • Free • Programmable • Many references available (for FREE) • Disadvantages: • Lack of Student Computing Background • Not Point-and-Click • Using for in-class exams

Using R for Introductory Statistics