Course Modules

Welcome to the Class

Welcome to the Class Welcome to the Class

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Syllabus Spring 2023 Syllabus Spring 2023 1

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Book and Data Files

Book and Data Files Book and Data Files

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Petruccelli, Nandram and Chen Applied Statistics Petruccelli, Nandram and Chen Applied Statistics 1

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Ch 5-6 Formula Sheet Ch 5-6 Formula Sheet 2

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Data Sets Data Sets 4

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Week-by-Week Planning : Follow The Order of Activities on these Documents

Week-by-Week Planning : Follow The Order of Activities on these Documents Week-by-Week Planning : Follow The Order of Activities on these Documents

External Tool

0.2 Formatting from *.dat files (4:43) 0.2 Formatting from *.dat files (4:43) 1

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External Tool

0.1 Introduction to the Spring 2023 Course 0.1 Introduction to the Spring 2023 Course 2

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Week 2 Planning (T, 1/17 - F, 1/20) - HW #2 due R, 1/26 by 11pm Week 2 Planning (T, 1/17 - F, 1/20) - HW #2 due R, 1/26 by 11pm 3

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Week 3 Planning (M, 1/23 - F, 1/27) - HW #3 due F, 2/2 by 11pm Week 3 Planning (M, 1/23 - F, 1/27) - HW #3 due F, 2/2 by 11pm 4

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Ch 5-6 Formula Sheet Copy Ch 5-6 Formula Sheet Copy 5

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Week 4 Planning (M, 1/31 - F, 2/4) - HW #4 due R, 2/10 by 11pm Week 4 Planning (M, 1/31 - F, 2/4) - HW #4 due R, 2/10 by 11pm 6

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Context Module Sub Header

Midterm Week: Review and Test #1 W, 2/15 Chapter 1-5 8

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Week 7 Planning (M, 2/20-F, 2/24) Week 7 Planning (M, 2/20-F, 2/24) 9

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Week 8 Planning (M, 2/27-F, 3/3) Week 8 Planning (M, 2/27-F, 3/3) 10

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Week 9 Planning (M, 3/6-R, 3/16) Week 9 Planning (M, 3/6-R, 3/16) 11

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Context Module Sub Header

Week 11: Review for Exam #2 : W, 3/22 Chapter 6-9, 6-8pm 12

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Synchronous Class Materials

Synchronous Class Materials Synchronous Class Materials

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Notes from Class 1 and Zoom recording (W, 4-6pm) Notes from Class 1 and Zoom recording (W, 4-6pm) 1

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Notes from Class 2 and Zoom recording (W, 4-6pm) Notes from Class 2 and Zoom recording (W, 4-6pm) 2

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Notes for Class 3 (Post Class) and Zoom recording (W, 1/25) Notes for Class 3 (Post Class) and Zoom recording (W, 1/25) 3

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Notes from Class 4 (Post class) and Zoom Recording (R, 2/2) Notes from Class 4 (Post class) and Zoom Recording (R, 2/2) 4

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Notes from Class 5 (Post class) and Zoom Recording (W, 2/8) Notes from Class 5 (Post class) and Zoom Recording (W, 2/8) 5

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Week 1 Planning (M, 1/9 - F, 1/13) - HW #1 due R, 1/19 by 11pm Week 1 Planning (M, 1/9 - F, 1/13) - HW #1 due R, 1/19 by 11pm 6

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Notes from Class 7 (Post class) and Zoom Recording (W, 2/22) Notes from Class 7 (Post class) and Zoom Recording (W, 2/22) 7

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Notes from Class 8 (Post class) and Zoom Recording (W, 3/1) Notes from Class 8 (Post class) and Zoom Recording (W, 3/1) 8

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Notes from Class 9 (Post class) and Zoom Recording (F, 3/10) Notes from Class 9 (Post class) and Zoom Recording (F, 3/10) 9

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Notes from Class 10 (Post class) and Zoom Recording (W, 3/15) Notes from Class 10 (Post class) and Zoom Recording (W, 3/15) 10

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Chapter 1: Data, Variation and 5Ms + E

Chapter 1: Data, Variation and 5Ms + E Chapter 1: Data, Variation and 5Ms + E

Context Module Sub Header

Start Week 1 1

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Notes for Chapter 1: Data Variation Notes for Chapter 1: Data Variation 2

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External Tool

1.1 Samples and Inference (9:32) 1.1 Samples and Inference (9:32) 3

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External Tool

1.7: Data and 5Ms + E (11:41) 1.7: Data and 5Ms + E (11:41) 4

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External Tool

1.6: Stratified Plots and Variation (10:43) 1.6: Stratified Plots and Variation (10:43) 5

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Page

Notes for Chapter 1: How to Use Excel for Statistics and Plots Notes for Chapter 1: How to Use Excel for Statistics and Plots 6

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External Tool

1.6: Stratified Plots in Excel (11:02) 1.6: Stratified Plots in Excel (11:02) 7

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External Tool

1.2 Frequency Tables in Excel (15:44) 1.2 Frequency Tables in Excel (15:44) 8

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External Tool

1.2 Histograms in Excel (18:38) 1.2 Histograms in Excel (18:38) 9

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External Tool

1.3 Time-Series Plots in Excel (21:46) 1.3 Time-Series Plots in Excel (21:46) 10

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External Tool

1.4 Nonstationarity and an Example of a Special Cause (11:30) 1.4 Nonstationarity and an Example of a Special Cause (11:30) 11

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External Tool

1.5-1.6 Terminology (13:47) 1.5-1.6 Terminology (13:47) 12

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Chapter 2 Descriptive Statistics

Chapter 2 Descriptive Statistics Chapter 2 Descriptive Statistics

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Notes for Chapter 2: Center and Spread Measures Notes for Chapter 2: Center and Spread Measures 1

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External Tool

2.3 Mean and Standard Deviation (8:35) 2.3 Mean and Standard Deviation (8:35) 2

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External Tool

2.4 Five Number Summary (9:47) 2.4 Five Number Summary (9:47) 3

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Context Module Sub Header

End Week 1 -> Start Week 2 4

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External Tool

2.2 Distribution Shapes (14:01) 2.2 Distribution Shapes (14:01) 6

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External Tool

2.6 Trimmed and Winsorized Means Options (14:51) 2.6 Trimmed and Winsorized Means Options (14:51) 7

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Ch 3 : Design of Statistical Studies

Ch 3 : Design of Statistical Studies Ch 3 : Design of Statistical Studies

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Notes for Chapter 3 : Design of Statistical Studies Notes for Chapter 3 : Design of Statistical Studies 1

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Week 2 for Chapter 3 (also have Chapter 4 material for Week 2) 2

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3.1 Designed Studies for Data Collection (10:02) 3.1 Designed Studies for Data Collection (10:02) 3

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3.2 Design and Executing a Plan (11:58) 3.2 Design and Executing a Plan (11:58) 4

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3.2 Alternative Sampling Designs (14:56) 3.2 Alternative Sampling Designs (14:56) 5

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3.2 Nonsampling Error and Biases (15:06) 3.2 Nonsampling Error and Biases (15:06) 6

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Continue rest of Ch 3 material in Week 3, go to Ch 4 for rest of Week 2 material. 7

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3.3 Differentiating Experiments and Observational Studies (8:54) 3.3 Differentiating Experiments and Observational Studies (8:54) 9

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3.4 Randomizing Treatment and Control 3.4 Randomizing Treatment and Control 10

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3.4 Blocking in Experimental Design 3.4 Blocking in Experimental Design 11

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3.4 Double-Blind Randomized Design 3.4 Double-Blind Randomized Design 12

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3.5 Observational Studies and Stratified Groups 3.5 Observational Studies and Stratified Groups 13

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3.5 Retrospective Studies and Surveys 3.5 Retrospective Studies and Surveys 14

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Chapter 4 Probability

Chapter 4 Probability Chapter 4 Probability

Page

Notes for Chapter 4: Probability Basics for Statistics and Beyond Notes for Chapter 4: Probability Basics for Statistics and Beyond 1

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Week 2 for Chapter 4 2

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4.1 Density Histogram and Intro to Probability 4.1 Density Histogram and Intro to Probability 3

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4.2 Addition Rule 4.2 Addition Rule 4

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4.2 Multiplication Rule 4.2 Multiplication Rule 5

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Complement Rule and DeMorgan’s Laws Complement Rule and DeMorgan’s Laws 6

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4.3 Mean and Standard Deviation of a Prob. Distribution 4.3 Mean and Standard Deviation of a Prob. Distribution 7

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4.3 Introduction to the Uniform and Binomial Distribution 4.3 Introduction to the Uniform and Binomial Distribution 8

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4.3 More on Binomial Distribution 4.3 More on Binomial Distribution 9

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4.3 The Poisson Distribution 4.3 The Poisson Distribution 10

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4.3 Distribution of Sum and Sample Means 4.3 Distribution of Sum and Sample Means 11

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4.5 Empirical Rule 4.5 Empirical Rule 12

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4.5 The Normal Distribution 4.5 The Normal Distribution 13

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4.5 Normal Percentiles 4.5 Normal Percentiles 14

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4.5 Normal Calculations of Parent and Sample Mean 4.5 Normal Calculations of Parent and Sample Mean 15

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Week 3 for Chapter 4 16

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4.6 Introduction to the Central Limit Theorem 4.6 Introduction to the Central Limit Theorem 17

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4.5 Uniform Distribution and CLT Application 4.5 Uniform Distribution and CLT Application 18

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4.6 A Normal Approximation of a Binomial Distribution 4.6 A Normal Approximation of a Binomial Distribution 19

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4.6 The Continuity Correction for the Normal Approximation 4.6 The Continuity Correction for the Normal Approximation 20

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4.4 Power of Models 4.4 Power of Models 21

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Total Probability and Bayes Rule Total Probability and Bayes Rule 22

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Chapter 5 : Confidence Intervals

Chapter 5 : Confidence Intervals Chapter 5 : Confidence Intervals

Context Module Sub Header

Week 4 Material (Chapter 5) 1

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Page

Notes for Chapter 5 : Confidence Intervals Notes for Chapter 5 : Confidence Intervals 2

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5.1 Confidence of a Sample Statistic 5.1 Confidence of a Sample Statistic 3

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5.2 Estimating Sampling without Replacement 5.2 Estimating Sampling without Replacement 4

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5.3 Concept of the Confidence Interval 5.3 Concept of the Confidence Interval 5

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5.4 The Classic Confidence Interval 5.4 The Classic Confidence Interval 6

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5.4 t-stat Confidence Interval for Population Mean 5.4 t-stat Confidence Interval for Population Mean 7

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5.4 Tradeoff of Confidence and Margin of Error 5.4 Tradeoff of Confidence and Margin of Error 8

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5.5 Inference for Observation opposed to Population Mean 5.5 Inference for Observation opposed to Population Mean 9

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5.6 Proportion Confidence Interval 5.6 Proportion Confidence Interval 10

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5.7 Determine Sample Size for Population Mean Confidence Interval 5.7 Determine Sample Size for Population Mean Confidence Interval 11

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5.7 Determining Sample Size for Proportion Confidence Interval 5.7 Determining Sample Size for Proportion Confidence Interval 12

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5.8 Large Samples Difference in Mean Confidence Interval 5.8 Large Samples Difference in Mean Confidence Interval 13

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5.8 Small Sample Means Pooled Variance Confidence Interval 5.8 Small Sample Means Pooled Variance Confidence Interval 14

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5.9 Two Proportion Confidence Interval 5.9 Two Proportion Confidence Interval 15

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End of Week 4 16

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Ch 6 : Hypothesis Testing

Ch 6 : Hypothesis Testing Ch 6 : Hypothesis Testing

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Week 6 Material (after a weekend break after the exam) 1

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Notes for Chapter 6 : Hypothesis Testing Notes for Chapter 6 : Hypothesis Testing 2

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6.1 Introducing the Concept of a Hypothesis Test 6.1 Introducing the Concept of a Hypothesis Test 3

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6.2 Six-Step Hypothesis Test 6.2 Six-Step Hypothesis Test 4

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6.3 Criminal Court Case Analogy 6.3 Criminal Court Case Analogy 5

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6.6 Hypothesis Testing about Mean with a Small Sample 6.6 Hypothesis Testing about Mean with a Small Sample 6

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6.8 Proportion Hypothesis Test 6.8 Proportion Hypothesis Test 7

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6.9 Two Population Means Hypothesis Test Difference 6.9 Two Population Means Hypothesis Test Difference 8

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6.10 Two Proportion Hypothesis Testing 6.10 Two Proportion Hypothesis Testing 9

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6.8 One-Sided Hypothesis Testing with Non-Zero Difference 6.8 One-Sided Hypothesis Testing with Non-Zero Difference 10

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6.7 Case 4 - Not Assuming Population SDs are Equal 6.7 Case 4 - Not Assuming Population SDs are Equal 11

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6.9 Dependent Paired Populations 6.9 Dependent Paired Populations 12

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Go to Chapter 7 Material to Finish Week 6. 13

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Exam 1 Ch 1-6 (up to this point) and Ch 7.4 14

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Starts Week 7 Material 15

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Ch 6 : Notes for Type II error and Power Ch 6 : Notes for Type II error and Power 16

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6.5 Weighing Type I and II error 6.5 Weighing Type I and II error 17

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6.11 Type II error calculation 6.11 Type II error calculation 18

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Ch 7 : Simple Regression and Categorical Variable Analysis

Ch 7 : Simple Regression and Categorical Variable Analysis Ch 7 : Simple Regression and Categorical Variable Analysis

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Week 6 Material continued 1

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Notes for Chapter 7: Categorical Analysis Notes for Chapter 7: Categorical Analysis 2

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7.4 Distribution Goodness of Fit 7.4 Distribution Goodness of Fit 3

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7.4 Catagorical Data and Association 7.4 Catagorical Data and Association 4

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Week 6 Material Ends (Ch 6 and 7) 5

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Week 7 Material continued 6

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Notes for Chapter 7 : Simple Regression Notes for Chapter 7 : Simple Regression 7

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7.2 Scatter Plot and Correlation 7.2 Scatter Plot and Correlation 8

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7.3 A Single Variable Regression 7.3 A Single Variable Regression 9

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7.3 Residual and R-squared Analysis 7.3 Residual and R-squared Analysis 10

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7.3 Influential Observations and Residuals 7.3 Influential Observations and Residuals 11

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7.5 Regression toward the Means 7.5 Regression toward the Means 12

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Go to Chapter 8 (One video/HW #6.6) 13

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Ch 8 : Multivariable Regression

Ch 8 : Multivariable Regression Ch 8 : Multivariable Regression

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Week 7 continues 1

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Notes for Chapter 8 : Multivariable Regression Notes for Chapter 8 : Multivariable Regression 2

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8.2 Data Analysis and Regression 8.2 Data Analysis and Regression 3

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End Week 7 Material 4

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Week 9 Starts 5

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8.9 t-stat and R-squared 8.9 t-stat and R-squared 6

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8.4 Why use a Quadratic Model? (Optional 14 minute video for Week 8) 8.4 Why use a Quadratic Model? (Optional 14 minute video for Week 8) 7

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8.4 Maximum Wage with respect to Experience 8.4 Maximum Wage with respect to Experience 8

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8.2 Dummy Variables used in Female and Race Studies 8.2 Dummy Variables used in Female and Race Studies 9

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8.2 Interaction Variable 8.2 Interaction Variable 10

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8.10 All things R-squared 8.10 All things R-squared 11

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Context Module Sub Header

Week 9 Ends (continues to Chapter 9) 12

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Ch 9 : ANOVA Tests

Ch 9 : ANOVA Tests Ch 9 : ANOVA Tests

Context Module Sub Header

Week 9 continues/ Optional Material 1

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Page

Notes for Chapter 9 : ANOVA Tests Notes for Chapter 9 : ANOVA Tests 2

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External Tool

9.2 One-Way Means Model 9.2 One-Way Means Model 3

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External Tool

9.1 F-Test for ANOVA 9.1 F-Test for ANOVA 4

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External Tool

9.2 Excel Data Analysis for ANOVA 9.2 Excel Data Analysis for ANOVA 5

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Context Module Sub Header

Week 9 Ends 6

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Context Module Sub Header

Optional Material 7

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External Tool

9.3 Two-Way ANOVA in Data Analysis 9.3 Two-Way ANOVA in Data Analysis 8

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External Tool

9.3 Two-Way ANOVA Details (Optional) 9.3 Two-Way ANOVA Details (Optional) 9

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External Tool

9.3 Tau and Gamma in Two-Way ANOVA 9.3 Tau and Gamma in Two-Way ANOVA 10

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Ch 11 : Nonparametric Tests

Ch 11 : Nonparametric Tests Ch 11 : Nonparametric Tests

Context Module Sub Header

Optional Material 1

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Page

Notes for Chapter 11 : Nonparametric Statistics Notes for Chapter 11 : Nonparametric Statistics 2

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External Tool

4.8 Assessing a QQ-Plot 4.8 Assessing a QQ-Plot 3

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External Tool

4.8 "Normal enough" Data Set 4.8 "Normal enough" Data Set 4

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Context Module Sub Header

Optional Material 5

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External Tool

11.3 The Sign Test 11.3 The Sign Test 6

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External Tool

11.5 Wilcoxon Rank Sum Test 11.5 Wilcoxon Rank Sum Test 7

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External Tool

11.7 Kruskal Wallis Test 11.7 Kruskal Wallis Test 8

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Practice Exams

Practice Exams Practice Exams

HW and Exam Solutions

HW and Exam Solutions HW and Exam Solutions

Page

HW #1 solutions HW #1 solutions 1

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Page

HW #2 Solutions HW #2 Solutions 3

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Page

HW #3 Solutions HW #3 Solutions 4

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Page

HW #4 Solutions HW #4 Solutions 5

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Page

Suggested Problems - Week 6 for Test 1 Suggested Problems - Week 6 for Test 1 6

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Page

HW #5 Solutions HW #5 Solutions 8

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Context Module Sub Header

Test 2 Material 9

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Page

HW #6 Solutions HW #6 Solutions 10

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Page

HW #7 Solutions HW #7 Solutions 11

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Page

Suggested Problem Ch 9 Solutions for Week 9 Suggested Problem Ch 9 Solutions for Week 9 12

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Course Modules

Welcome to the Class

Book and Data Files

Week-by-Week Planning : Follow The Order of Activities on these Documents

Midterm Week: Review and Test #1 W, 2/15 Chapter 1-5 8

Week 11: Review for Exam #2 : W, 3/22 Chapter 6-9, 6-8pm 12

Synchronous Class Materials

Chapter 1: Data, Variation and 5Ms + E

Start Week 1 1

Chapter 2 Descriptive Statistics

End Week 1 -> Start Week 2 4

Ch 3 : Design of Statistical Studies

Week 2 for Chapter 3 (also have Chapter 4 material for Week 2) 2

Continue rest of Ch 3 material in Week 3, go to Ch 4 for rest of Week 2 material. 7

Chapter 4 Probability

Week 2 for Chapter 4 2

Week 3 for Chapter 4 16

Chapter 5 : Confidence Intervals

Week 4 Material (Chapter 5) 1

End of Week 4 16

Ch 6 : Hypothesis Testing

Week 6 Material (after a weekend break after the exam) 1

Go to Chapter 7 Material to Finish Week 6. 13

Exam 1 Ch 1-6 (up to this point) and Ch 7.4 14

Starts Week 7 Material 15

Ch 7 : Simple Regression and Categorical Variable Analysis

Week 6 Material continued 1

Week 6 Material Ends (Ch 6 and 7) 5

Week 7 Material continued 6

Go to Chapter 8 (One video/HW #6.6) 13

Ch 8 : Multivariable Regression

Week 7 continues 1

End Week 7 Material 4

Week 9 Starts 5

Week 9 Ends (continues to Chapter 9) 12

Ch 9 : ANOVA Tests

Week 9 continues/ Optional Material 1

Week 9 Ends 6

Optional Material 7

Ch 11 : Nonparametric Tests

Optional Material 1

Optional Material 5

Practice Exams

HW and Exam Solutions

Test 2 Material 9