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MA121: Introduction to Statistics
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COURSE INTRODUCTION
Course Syllabus
Unit 1: Statistics and Data
1.1.1: What is Statistics?
What are Statistics?
1.1.2: Descriptive and Inferential Statistics
Descriptive and Inferential Statistics
Basic Definitions and Concepts
1.1.3: Types of Data and Their Collection
Variables and Data Collection
Presenting Data
1.2.1: Graphical Methods for Describing Quantitative Data
Graphing
Three Popular Data Displays
1.2.2: Numerical Measures of Central Tendency and Variability
Numerical Measures of Central Tendency and Variability
Measures of Central Location
Mean, Median, Mode, and Variance
1.2.3: Methods for Describing Relative Standing
Percentiles
1.2.4: Methods for Describing Bivariate Relationships
Scatterplots and Bivariate Data
Pearson's r
Unit 1 Assessment
Unit 1 Assessment
Unit 2: Elements of Probability and Random Variables
2.1.1: Events, Sample Spaces, and Probability
Introduction to Probability
Basic Concepts of Probability
2.1.2: Counting Rules
Permutations and Combinations
The Addition Rule for Probability with a Venn Diagram Example
2.2.1: Common Discrete Random Variables
Random Variables and Probability Distributions
Binomial Distributions
Binomial, Poisson, and Multinomial Distributions
2.2.2: Normal Distribution
The Standard Normal Distribution
More on Normal Distributions
Introduction to the Normal Distribution
Unit 2 Assessment
Unit 2 Assessment
Unit 3: Sampling Distributions
3.1.1: Continuous Random Variables
Continuous Random Variables
3.1.2: Definition and Interpretation
Introduction to Sampling Distributions
3.1.3: Sampling Distributions Properties
Wolfram Demonstrations Project
3.2.1: The Sampling Distribution of Sample Mean
The Sampling Distribution of a Sample Mean
The Mean, Standard Deviation, and Sampling Distribution of the Sample Mean
Sampling Distribution
3.2.2: The Sampling Distribution of Pearson's r
Sampling Distribution of r
3.2.3: The Sampling Distribution of the Sample Proportion
Sampling Distribution of p
Standard Deviation
Unit 3 Assessment
Unit 3 Assessment
Unit 4: Estimation with Confidence Intervals
4.1.1: Sample Statistics and Parameters
Basic Sample Statistics and Parameters
4.1.2: Bias and Sampling Variability
Characteristics of Estimators
4.2.1: Confidence Intervals for Mean
Confidence Intervals for the Mean
Demonstration: Confidence Intervals for a Mean
t Distribution Demonstration
Comparing Normal and Student's t-Distributions
4.2.2: Confidence Intervals for Correlation and Proportion
Confidence Intervals for Correlation and Proportion
Confidence Intervals
Unit 4 Assessment
Unit 4 Assessment
Unit 5: Hypothesis Test
5.1.1: Setting up Hypotheses
Setting Up Hypotheses
5.1.2: Interpreting Hypotheses Testing Results
The Observed Significance of a Test
Results
Hypothesis Testing with One Sample
More on Hypothesis Testing
5.1.3: Steps in Hypothesis Testing and Its Relation to Confidence Intervals
Steps and Confidence Intervals in Hypothesis Testing
5.2.1: Testing Single Mean
Testing a Single Mean
Sample Tests for a Population Mean
5.2.2: Testing the Difference between Two Means
The Difference between Two Means
Difference of Means
5.3: Chi-Square Distribution
Contingency Tables
Chi-Square Distributions and Goodness of Fit
More on Chi-square Distributions
5.4: Comparing the Proportions of Populations
Comparing Population Proportions
Unit 5 Assessment
Unit 5 Assessment
Unit 6: Linear Regression
6.1.1: Scatter Plot of Two Variables and Regression Line
Introduction to Linear Regression
Linear Regression
6.1.2: Correlation Coefficient
Correlation
The Linear Correlation Coefficient
6.1.3: Sums of Squares
Partitioning Sums of Squares
Regression Lines
6.2.1: Standard Errors of the Least Squares Estimates
Standard Error of the Estimate
6.2.2: Statistical Inference for the Slope and Correlation
Inferential Statistics for b and r
Statistical Inference about Slope
6.2.3: Influential Observations
Influential Observations
A Complete Example
6.3: ANOVA
ANOVA
More on ANOVA
Unit 6 Assessment
Unit 6 Assessment
Study Guide
MA121 Study Guide
Course Feedback Survey
Course Feedback Survey
Certificate Final Exam
MA121: Certificate Final Exam
Saylor Direct Credit
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MA121: Introduction to Statistics
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