20_23_Spring MA 511 Applied Statistics CPE

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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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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This course content is offered under a Public Domain license. Content in this course can be considered under this license unless otherwise noted.

20_23_Spring MA 511 Applied Statistics CPE

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