Conteúdo Programatico
Module 1
Introduction to the R Environment
Topics
- Introduction to statistics
- The R environment
Learning Objectives
By the end of this module, you should be able to:
- Successfully navigate through all areas of the course site and get to know your instructor and classmates.
- Distinguish the difference between descriptive and inferential statistics.
- Manage the R environment.
- Successfully install the required software on your personal computer.
Readings
Required Readings
Mendenhall, W., Beaver, R.J., Beaver, B.M., & Ahmed, S.E. (2018). Introduction to probability & statistics, 4th Canadian Edition. Toronto, Ontario: Nelson Education.
- Introduction chapter: What is Statistics?
Dalgaard, P. (2008). Introductory statistics with R (2nd ed.). New York, NY: Springer.
- Chapter 1: Basics, Section 1.1 First Steps
Assessments
- Quiz (cumulative 10% of the final grade)
Module 2
Basics of R-language
Topics
- Variables in R
- Vectors and matrices in R
Learning Objectives
By the end of this module, you should be able to:
- Categorize the type of variables in R.
- Interpret simple R outputs regarding vectors and matrices in R.
Readings
Required Readings
Dalgaard, P. (2008). Introductory statistics with R (2nd ed.). New York, NY: Springer.
- Chapter 1: Basics, Section 1.2 Language Essentials
Recommended Readings
Lander, J. (2013). R for everyone: Advanced analytics and graphics, illustrated edition. Boston MA: Addison-Wesley.
Assessments
- Quiz (cumulative 10% of the final grade)
- Assignment 1 (10% of the final grade) – Due end of Module 4
Module 3
Describing Data with Graphs
Topics
- Graphs for categorical data
- Graphs for quantitative data
- Lists and arrays in R
- Data frames in R variables in R
Learning Objectives
By the end of this module, you should be able to:
- Describe data with graphs.
- Interpret and write R codes regarding vectors, matrices, lists, arrays and data frames in R.
Readings
Required Readings
Mendenhall, W., Beaver, R.J., Beaver, B.M., & Ahmed, S.E. (2018). Introduction to probability & statistics, 4th Canadian Edition. Toronto, Ontario: Nelson Education.
- Chapter 1: Describing Data with Graphs
Dalgaard, P. (2008). Introductory statistics with R (2nd ed.). New York, NY: Springer.
- Chapter 1: Basics, Section 1.2 Language Essentials
Recommended Readings
Lander, J. (2013). R for everyone: Advanced analytics and graphics, illustrated edition. Boston MA: Addison-Wesley.
- Chapter 5: Advanced Data Structures
Assessments
- Quiz (cumulative 10% of the final grade)
Module 4
Describing Data with Numerical Measures
Topics
- Measures of center
- Measures of variability
- Measures of relative standing
- Describing bivariate data
- Functions in R
Learning Objectives
By the end of this module, you should be able to:
- Describe univariate and bivariate data with numerical measures.
- Interpret and write R codes regarding functions in R.
Readings
Required Readings
Mendenhall, W., Beaver, R.J., Beaver, B.M., & Ahmed, S.E. (2018). Introduction to probability & statistics, 4th Canadian Edition. Toronto, Ontario: Nelson Education.
- Chapter 2: Describing Data with Numerical Measures
- Chapter 3: Describing Bivariate Data
Recommended Readings
Lander, J. (2013). R for everyone: Advanced analytics and graphics, illustrated edition. Boston MA: Addison-Wesley.
- Chapter 8: Writing R Functions
Assessments
- Quiz (cumulative 10% of the final grade)
There are no learning sessions this week. You may use this time to review course materials.
Module 5
Probability Distributions, Control Statements, and Loops in R
Topics
- Probability and probability distributions
- Control statements and loops in R
Learning Objectives
By the end of this module, you should be able to:
- Compute probability distributions.
- Write R codes including control statements and loops.
Readings
Required Readings
Mendenhall, W., Beaver, R.J., Beaver, B.M., & Ahmed, S.E. (2018). Introduction to probability & statistics, 4th Canadian Edition. Toronto, Ontario: Nelson Education.
- Chapter 4: Probability and Probability Distributions
Dalgaard, P. (2008). Introductory statistics with R (2nd ed.). New York, NY: Springer.
- Chapter 2: The R Environment
- Chapter 3: Probability and Distributions, Sections 3.1; 3.2
Recommended Readings
Lander, J. (2013). R for everyone: Advanced analytics and graphics, illustrated edition. Boston MA: Addison-Wesley.
- Chapter 9: Control Statements
- Chapter 10: Loops, the Un-R Way to Iterate
Assessments
- Quiz (cumulative 10% of the final grade)
- Assignment 2 (10% of the final grade) – Due end of Module 8
Module 6
Discrete Distributions
Topics
- Discrete distributions
- Discrete distributions in R
- Plotting tools in R
Learning Objectives
By the end of this module, you should be able to:
- Distinguish the difference of Bernoulli, Binomial, Poisson and Hypergeometric probability distributions.
- Formulate discrete distributions in R.
- Write R codes using plotting tools.
Readings
Required Readings
Mendenhall, W., Beaver, R.J., Beaver, B.M., & Ahmed, S.E. (2018). Introduction to probability & statistics, 4th Canadian Edition. Toronto, Ontario: Nelson Education.
- Chapter 5: Several Useful Discrete Distributions
Dalgaard, P. (2008). Introductory statistics with R (2nd ed.). New York, NY: Springer.
- Chapter 3: Probability and Distributions, Sections 3.3; 3.5
Assessments
- Quiz (cumulative 10% of the final grade)
Module 7
Midterm Exam
Topics
- Core concepts from modules 1 to 5
- Preparing for the midterm exam
Learning Objectives
By the end of this module, you should be able to:
- Review core concepts from modules 1 to 5.
- Complete the practice questions in preparation for the midterm exam.
Readings
N/A
Assessments
- Midterm Exam (25% of the final grade)
Module 8
The Normal Probability Distribution
Topics
- The Normal Probability Distribution
- Applications in R
Learning Objectives
By the end of this module, you should be able to:
- Compute normal probability distribution.
- Formulate normal distribution in R.
Readings
Required Readings
Mendenhall, W., Beaver, R.J., Beaver, B.M., & Ahmed, S.E. (2018). Introduction to probability & statistics, 4th Canadian Edition. Toronto, Ontario: Nelson Education.
- Chapter 6: The Normal Probability Distribution
Dalgaard, P. (2008). Introductory statistics with R (2nd ed.). New York, NY: Springer.
- Chapter 3: Probability and Distributions, Sections 3.4; 3.5
Assessments
- Quiz (cumulative 10% of the final grade)
Module 9
Sampling Distribution
Topics
- Sampling distributions
- Central Limit Theorem
Learning Objectives
By the end of this module, you should be able to:
- Build sampling plans and experimental designs.
- Apply central limit theorem to random samples of a population.
Readings
Required Readings
Mendenhall, W., Beaver, R.J., Beaver, B.M., & Ahmed, S.E. (2018). Introduction to probability & statistics, 4th Canadian Edition. Toronto, Ontario: Nelson Education.
- Chapter 7: Sampling Distributions
Assessments
- Quiz (cumulative 10% of the final grade)
- Assignment 3 (10% of the final grade) – Due end of Module 11
Module 10
Linear Regression
Topics
- Linear regression
- Linear models in R
Learning Objectives
By the end of this module, you should be able to:
- Model the relationship of two data with the method of least squares.
- Interpret R codes for prediction of linear models.
Readings
Required Readings
Mendenhall, W., Beaver, R.J., Beaver, B.M., & Ahmed, S.E. (2018). Introduction to probability & statistics, 4th Canadian Edition. Toronto, Ontario: Nelson Education.
- Chapter 12: Linear Regression and Correlation
Dalgaard, P. (2008). Introductory statistics with R (2nd ed.). New York, NY: Springer.
- Chapter 6: Regression and Correlation
Assessments
- Quiz (cumulative 10% of the final grade)
Module 11
Correlation
Topics
- Pearson correlation
- Visualizing correlation in R
Learning Objectives
By the end of this module, you should be able to:
- Analyze the Pearson correlation, a parametric test in statistics.
- Visualize correlated variables in R.
Readings
Required Readings
Mendenhall, W., Beaver, R.J., Beaver, B.M., & Ahmed, S.E. (2018). Introduction to probability & statistics, 4th Canadian Edition. Toronto, Ontario: Nelson Education.
- Chapter 12: Linear Regression and Correlation
Dalgaard, P. (2008). Introductory statistics with R (2nd ed.). New York, NY: Springer.
- Chapter 6: Regression and Correlation
Assessments
- Quiz (cumulative 10% of the final grade)
Module 12
Final Exam Review
Topics
- Core concepts in modules 6, and 8 to 11
- Preparing for the final exam
Learning Objectives
By the end of this module, you should be able to:
- Review core concepts in modules 6, and 8 to 11.
- Complete the practice questions in preparation for the final exam.