Introduction to Probability and Statistics Using RThis is a textbook for an undergraduate course in probability and statistics. The approximate prerequisites are two or three semesters of calculus and some linear algebra. Students attending the class include mathematics, engineering, and computer science majors. |
Contents
1 An Introduction to Probability and Statistics | 1 |
2 An Introduction to R | 5 |
3 Data Description | 19 |
4 Probability | 65 |
5 Discrete Distributions | 107 |
6 Continuous Distributions | 137 |
7 Multivariate Distributions | 157 |
8 Sampling Distributions | 181 |
15 Nonparametric Statistics | 313 |
16 Time Series | 315 |
A R Session Information | 317 |
B GNU Free Documentation License | 319 |
C History | 327 |
D Data | 329 |
E Mathematical Machinery | 339 |
F Writing Reports with R | 349 |
9 Estimation | 193 |
10 Hypothesis Testing | 217 |
11 Simple Linear Regression | 235 |
12 Multiple Linear Regression | 267 |
13 Resampling Methods | 297 |
14 Categorical Data Analysis | 311 |
G Instructions for Instructors | 355 |
H RcmdrTestDrive Story | 359 |
| 363 | |
| 369 | |
Common terms and phrases
answer approximately argument assumptions balls Bernoulli trials binom(size bootstrap boxplot calculate called Chapter coefficient coin column command compute confidence interval continuous random variables copy count the number data frame data set default defined denote discrete discrete random variables display Document Equation event Example Exercise F statistic FALSE Figure fitted values formula fX(x gender Girth given graph Height histogram independent Invariant Sections IP(A IP(X License likelihood linear regression matrix measure median method norm(mean normal distribution null hypothesis observations outcomes outliers output p-value package parameter plot population prediction prediction intervals prob probability space quantile function random experiment regression model resampling residuals rows sample mean sample space sampling distribution scatterplot simulated skewed standard deviation standard error statistic stemplot Suppose Theorem toss trees data TRUE vector