20_20_Summer MA 511 Applied Statistics for Engineers and Scientists MRJ

Course Modules

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

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Week 1 Instructions (Chapter 1+2) Week 1 Instructions (Chapter 1+2) 2

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0.3 Our Weekly Organization Plan 0.3 Our Weekly Organization Plan 3

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Week 2 Instructions Week 2 Instructions 4

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0.4 Week 2 Planning 0.4 Week 2 Planning 5

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Week 3 Instructions Week 3 Instructions 6

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0.5 Hello Week 3 0.5 Hello Week 3 7

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Week 4 Plans (M, 6/8-F, 6/12) Week 4 Plans (M, 6/8-F, 6/12) 8

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Week 4 - Planning your Week MA 511 : M, 6/8-F, 6/12 Week 4 - Planning your Week MA 511 : M, 6/8-F, 6/12 9

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Week 6 Plans (M, 6/22-F 6/26) Week 6 Plans (M, 6/22-F 6/26) 10

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Week 7 Plans: M, 6/29 - F, 7/3 Week 7 Plans: M, 6/29 - F, 7/3 11

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Week 8 Plans: M, 7/6-F 7/10 Week 8 Plans: M, 7/6-F 7/10 12

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Week 9 Plans (M, 7/13-F, 7/17) Week 9 Plans (M, 7/13-F, 7/17) 13

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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 3

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External Tool

0.2 Formatting from *.dat files 0.2 Formatting from *.dat files 4

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Welcome to the Class

Welcome to the Class Welcome to the Class

Attachment

Syllabus_MA511_E20.docx Syllabus_MA511_E20.docx 1

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0.1 Hello MA 511 Students 0.1 Hello MA 511 Students 2

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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

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

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1.1 Samples and Inference 1.1 Samples and Inference 2

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External Tool

1.7: Data and 5Ms + E 1.7: Data and 5Ms + E 3

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1.6: Stratified Plots and Variation 1.6: Stratified Plots and Variation 4

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Notes for Chapter 1: How to Use Excel for Statistics and Plots Notes for Chapter 1: How to Use Excel for Statistics and Plots 5

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1.6: Stratified Plots in Excel 1.6: Stratified Plots in Excel 6

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External Tool

1.2 Frequency Tables in Excel 1.2 Frequency Tables in Excel 7

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1.2 Histograms in Excel 1.2 Histograms in Excel 8

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External Tool

1.3 Time-Series Plots in Excel 1.3 Time-Series Plots in Excel 9

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1.4 Nonstationarity and an Example of a Special Cause 1.4 Nonstationarity and an Example of a Special Cause 10

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1.5-1.6 Terminology 1.5-1.6 Terminology 11

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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 2.3 Mean and Standard Deviation 2

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2.4 Five Number Summary 2.4 Five Number Summary 3

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2.1 Bar Charts and Histograms 2.1 Bar Charts and Histograms 4

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2.2 Distribution Shapes 2.2 Distribution Shapes 5

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2.6 Trimmed and Winsorized Means Options 2.6 Trimmed and Winsorized Means Options 6

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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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Context Module Sub Header

Week 2 Starts Here 2

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3.1 Designed Studies for Data Collection 3.1 Designed Studies for Data Collection 3

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3.2 Design and Executing a Plan 3.2 Design and Executing a Plan 4

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3.2 Alternative Sampling Designs 3.2 Alternative Sampling Designs 5

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3.2 Nonsampling Error and Biases 3.2 Nonsampling Error and Biases 6

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Context Module Sub Header

Week 3 Starts Here 7

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3.3 Differentiating Experiments and Observational Studies 3.3 Differentiating Experiments and Observational Studies 8

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External Tool

3.4 Randomizing Treatment and Control 3.4 Randomizing Treatment and Control 9

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3.4 Blocking in Experimental Design 3.4 Blocking in Experimental Design 10

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3.4 Double-Blind Randomized Design 3.4 Double-Blind Randomized Design 11

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3.5 Observational Studies and Stratified Groups 3.5 Observational Studies and Stratified Groups 12

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3.5 Retrospective Studies and Surveys 3.5 Retrospective Studies and Surveys 13

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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

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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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Ch 6 : Hypothesis Testing

Ch 6 : Hypothesis Testing Ch 6 : Hypothesis Testing

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Week 6 Material 1

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Page

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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Week 7 Material 13

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Ch 6 : Notes for Type II error and Power Ch 6 : Notes for Type II error and Power 14

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6.5 Weighing Type I and II error 6.5 Weighing Type I and II error 15

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6.11 Type II error calculation 6.11 Type II error calculation 16

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6.11 Power of the Test 6.11 Power of the Test 17

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6.5 Discussing Practical Significance 6.5 Discussing Practical Significance 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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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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End of Week 6 5

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Week 7 Material 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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End Week 7 Material 13

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Ch 8 : Multivariable Regression

Ch 8 : Multivariable Regression Ch 8 : Multivariable Regression

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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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8.9 t-stat and R-squared 8.9 t-stat and R-squared 4

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8.4 Why use a Quadratic Model? 8.4 Why use a Quadratic Model? 5

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8.4 Maximum Wage with respect to Experience 8.4 Maximum Wage with respect to Experience 6

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8.2 Dummy Variables used in Female and Race Studies 8.2 Dummy Variables used in Female and Race Studies 7

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8.2 Interaction Variable 8.2 Interaction Variable 8

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8.10 All things R-squared 8.10 All things R-squared 9

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Ch 9 : ANOVA Tests

Ch 9 : ANOVA Tests Ch 9 : ANOVA Tests

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

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

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

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

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9.3 Two-Way ANOVA in Data Analysis 9.3 Two-Way ANOVA in Data Analysis 6

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9.3 Two-Way ANOVA Details (Optional) 9.3 Two-Way ANOVA Details (Optional) 7

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9.3 Tau and Gamma in Two-Way ANOVA 9.3 Tau and Gamma in Two-Way ANOVA 8

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Ch 11 : Nonparametric Tests

Ch 11 : Nonparametric Tests Ch 11 : Nonparametric Tests

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Notes for Chapter 11 : Nonparametric Statistics Notes for Chapter 11 : Nonparametric Statistics 1

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4.8 Assessing a QQ-Plot 4.8 Assessing a QQ-Plot 2

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4.8 A Normal enough Data Set 4.8 A Normal enough Data Set 3

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11.3 The Sign Test 11.3 The Sign Test 4

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11.5 Wilcoxon Rank Sum Test 11.5 Wilcoxon Rank Sum Test 5

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11.7 Kruskal Wallis Test 11.7 Kruskal Wallis Test 6

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Context Module Sub Header

Week 9 Ends 7

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Practice Exams

Practice Exams Practice Exams

Page

Practice Test 1 Practice Test 1 1

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Practice Test 1 Solutions Practice Test 1 Solutions 2

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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_20_Summer MA 511 Applied Statistics for Engineers and Scientists MRJ

Course Modules

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

Book and Data Files

Welcome to the Class

Chapter 1: Data, Variation and 5Ms + E

Chapter 2 Descriptive Statistics

Ch 3 : Design of Statistical Studies

Week 2 Starts Here 2

Week 3 Starts Here 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

Ch 6 : Hypothesis Testing

Week 6 Material 1

Week 7 Material 13

Ch 7 : Simple Regression and Categorical Variable Analysis

Week 6 Material 1

End of Week 6 5

Week 7 Material 6

End Week 7 Material 13

Ch 8 : Multivariable Regression

Week 8 Starts 1

Ch 9 : ANOVA Tests

Week 9 Starts 1

Ch 11 : Nonparametric Tests

Week 9 Ends 7

Practice Exams