STATS 2B03

Mac

Course Overview

Lessons & Practice

I. Welcome

1. Introduction to Statistics

1.1hr

1.1.1. Introduction to Statistics4 min

1.1.2. Sample vs. Population7 min

1.1.3. Practice

1.1.4. Measurement Scales7 min

1.1.5. Practice

1.2.1. Statistical Sampling28 sec

1.2.2. Convenience Sampling1 min

1.2.3. Simple Random Sampling3 min

1.2.4. Systematic Sampling2 min

1.2.5. Stratified Sampling vs. Cluster Sampling6 min

1.2.6. Two-Stage Cluster Sampling2 min

1.2.7. Practice

1.2.8. Practice

1.2.9. Practice

1.3.1. Sampling Bias7 min

1.3.2. Recipe for a Good Sample5 min

1.3.3. Practice

1.3.4. Practice

1.4.1. Observational Studies4 min

1.4.2. Experimental Studies3 min

1.4.3. Example5 min

1.4.4. Practice

1.5.1. Types of Experimental Designs7 min

1.5.2. Principles of Experimental Design4 min

1.5.4. Practice

1.5.5. Practice

2. Exploring Data with Tables and Graphs

1.4hr

2.1.1. Histograms4 min

2.1.2. Practice2 min

2.1.3. Practice2 min

2.1.4. Practice

2.2.1. Dot Plots5 min

2.2.2. Practice

2.3.1. Frequency Polygons2 min

2.3.2. Practice4 min

2.4.1. Stemplots (Stem-and-Leaf Plots)2 min

2.4.2. Practice3 min

2.5.1. Times Series Plots2 min

2.5.2. Practice2 min

2.6.1. Pie Chart3 min

2.6.2. Practice

2.7.1. Bar Chart3 min

2.7.2. Practice

2.8.1. Segmented Bar Chart (or Stacked Columns)3 min

2.8.2. Practice4 min

2.9.1. Contingency Table (Two-Way Table)4 min

2.9.2. Simpson’s Paradox3 min

2.9.3. Practice

2.10.1. Scatterplots5 min

2.10.2. Practice

2.11.1. Correlation5 min

2.11.2. Practice

2.12.1. Solving for Correlation2 min

2.12.2. Example6 min

2.12.3. Practice4 min

2.12.4. Example3 min

2.12.5. Practice

2.13.1. Coefficient of Determination (R Squared)7 min

2.13.2. Assessing Goodness of Fit6 min

2.13.3. Practice

3. Describing, Exploring, and Comparing Data

1hr

3.1.1. Measures of Central Tendency7 min

3.1.2. Mean and Median Example2 min

3.1.3. Practice

3.1.4. Practice2 min

3.1.5. Practice3 min

3.2.1. Skewness and Symmetry 6 min

3.2.2. Practice

3.3.1. Percentiles4 min

3.3.2. Example2 min

3.3.3. Practice

3.4.1. Range and Interquartile Range11 min

3.4.2. Variance and Standard Deviation6 min

3.4.3. Practice3 min

3.4.4. Practice3 min

3.4.5. Practice

3.5.1. Boxplots and Five Number Summary9 min

3.5.2. Practice4 min

3.5.3. Practice

4. Probability

2.4hr

4.1.1. Events & Sample Spaces6 min

4.1.2. Types of Probability6 min

4.1.3. Probability Language & Notation4 min

4.1.4. Example3 min

4.1.5. Independent vs. Mutually Exclusive Events4 min

4.1.6. Example2 min

4.1.7. Practice

4.2.1. Venn Diagrams3 min

4.2.2. Tree Diagrams4 min

4.2.3. Two-way Table5 min

4.3.1. Interpretation of Probability2 min

4.3.2. Complement Rule3 min

4.3.3. Practice1 min

4.3.4. The Addition Rule4 min

4.4.1. Probability of Independent Events4 min

4.4.2. Example3 min

4.4.3. Practice2 min

4.5.1. Probability of Dependent Events (Conditional Probability)7 min

4.5.2. Conditional Probability: Tree Diagram5 min

4.5.3. Bayes’ Theorem4 min

4.5.4. Example4 min

4.5.5. Practice3 min

4.6.1. Example6 min

4.6.2. Example7 min

4.6.3. Example7 min

4.6.4. Practice4 min

4.6.5. Practice5 min

4.7.1. Summary of Key Definitions6 min

4.8.1. Fundamental Counting Principle6 min

4.8.2. Permutations and Combinations6 min

4.8.3. Practice1 min

4.8.4. Practice54 sec

4.8.5. More Combination Rules3 min

4.8.6. Example4 min

4.8.7. Practice3 min

4.8.8. Practice

4.9.1. Counting and Probability3 min

4.9.3. Practice1 min

6. Normal Probability Distributions

2.2hr

6.1.1. Continuous Probability Distribution Theory10 min

6.2.1. Normal Distribution11 min

6.2.2. Practice5 min

6.3.1. Standard Normal Distribution (Z-Scores)11 min

6.3.2. Standardizing a Normal Random Variable4 min

6.3.3. Example10 min

6.3.4. Practice6 min

6.3.5. Practice3 min

6.4.1. Normal Approximation to Binomial2 min

6.4.2. Practice5 min

6.4.3. Practice4 min

6.4.4. Practice4 min

6.5.1. Sampling Variability & Sampling Distribution12 min

6.6.1. Central Limit Theorem 5 min

6.6.2. Sampling Distribution for a Mean2 min

6.6.3. Example9 min

6.6.4. Sampling Distribution for a Mean Question5 min

6.7.1. Sampling Distribution of Proportions5 min

6.7.2. Example3 min

6.7.3. Practice4 min

6.8.1. Drawing Samples From a Finite Population8 min

6.8.2. Example4 min

6.8.3. Practice3 min

7. Estimating Parameters and Determining Sample Sizes

1hr

7.1.1. Introduction to Confidence Intervals14 min

7.2.1. Confidence Interval for a Mean13 min

7.2.2. Example4 min

7.2.3. Practice3 min

7.3.1. Confidence Interval for a Proportion2 min

7.3.2. Example5 min

7.3.3. Practice4 min

7.4.1. Margin of Error and Sample Size3 min

7.4.2. Practice

7.5.1. Confidence Interval for Population Variance5 min

7.5.2. Example6 min

7.5.3. Pratice3 min

7.5.4. Practice

8. Hypothesis Testing

2.4hr

8.1.1. Introduction to Hypothesis Testing 15 min

8.1.2. Hypothesis Testing Steps25 min

8.2.1. Hypothesis Test for a Mean3 min

8.2.2. Example16 min

8.2.3. Example8 min

8.2.4. Practice4 min

8.3.1. Hypothesis Test for a Proportion10 min

8.3.2. Example4 min

8.3.3. Practice5 min

8.3.4. Practice9 min

8.4.1. Type I and Type II Errors5 min

8.4.2. Type I and Type II Errors1 min

8.4.3. Practice

8.4.4. Practice

8.4.5. Power7 min

8.4.6. Practice

8.5.1. Inference for Population Variance & Chi-square Distribution 8 min

8.6.1. Hypothesis Test for Population Variance8 min

8.6.2. Example8 min

8.6.3. Hypothesis Test for Population Variance

8.6.4. Practice4 min

9. Inferences from Two Samples

4hr

9.1.1. Hypothesis Testing for Two Independent Population Proportions9 min

9.1.2. Hypothesis Test Steps: Comparing Two Independent Proportions8 min

9.1.3. Example13 min

9.1.4. Practice (Pooled)6 min

9.2.1. Confidence Interval for Differences in Population Proportions3 min

9.2.2. Confidence Interval for Two Proportions1 min

9.2.3. Example4 min

9.2.4. Practice4 min

9.3.1. Comparing Two Independent Means9 min

9.3.2. Hypothesis Test Steps: Comparing Two Independent Means11 min

9.4.1. Unpooled t-test (Unequal Variances)4 min

9.4.2. Example (Unpooled)11 min

9.4.3. Practice (Unpooled)5 min

9.5.1. Pooled t-test (Equal Variances)3 min

9.5.2. Example (Pooled)7 min

9.5.3. Practice (Pooled)7 min

9.6.1. Confidence Interval for Differences in Population Means (Pooled and Unpooled)6 min

9.6.2. Confidence Interval for Two Means Containing Zero7 min

9.6.3. Confidence Interval for Two Means (Independent Populations)9 min

9.7.1. Confidence Interval Unpooled t2 min

9.7.2. Example: Confidence Interval (Unpooled)5 min

9.7.3. Practice (Unpooled)

9.8.1. Confidence Interval Pooled t2 min

9.8.2. Example: Confidence Interval w/ Pooled T-test5 min

9.8.3. Practice (Pooled)

9.9.1. Match Pairs for Dependent Means12 min

9.10.1. Hypothesis Test for Matched Pairs11 min

9.10.2. Example7 min

9.10.3. Practice3 min

9.11.1. Matched Pairs Confidence Interval for Differences in Two Dependent Population Means4 min

9.11.2. Practice

9.12.1. Test of Equality of Two Variances7 min

9.13.1. F-Test for Equality of Two Variances11 min

9.13.2. Example6 min

9.13.3. F-Test for Equality of Two Variances

9.14.1. Levene’s Test for the Equality of Two Variances4 min

9.14.2. Example7 min

9.14.3. Practice

10. Correlation and Regression

5hr

10.1.1. Solving for the Regression Line (r, Sy, Sx Method)5 min

10.1.2. Example7 min

10.1.3. Practice (Version 1)3 min

10.1.4. Solving for the Regression Line (Least Squares Method)2 min

10.1.5. Example5 min

10.1.6. Practice (Version 2)5 min

10.2.1. Predictions3 min

10.2.2. Residuals (Errors)5 min

10.2.3. Practice

10.2.4. Residual Plots2 min

10.2.5. Regression Diagnostics 5 min

10.2.6. Practice

10.2.7. Standard Deviation of the Residuals5 min

10.2.8. Practice

10.3.1. Estimating the Coefficients of the Linear Regression Model9 min

10.3.2. Measures of Variation in Regression9 min

10.3.3. Practice

10.4.1. Standard Error and R Square Formulas7 min

10.4.2. Example5 min

10.4.3. Practice4 min

10.5.1. Confidence Interval for Linear Regression5 min

10.5.2. Example9 min

10.5.3. Practice3 min

10.5.4. Slope: The Significance of "Zero" (or Lack Thereof)6 min

10.5.5. Practice

10.6.1. Hypothesis Testing for Linear Regression14 min

10.6.2. Example17 min

10.6.3. Example13 min

10.6.4. Practice: Linear Regression Analysis6 min

10.7.1. Prediction Interval of Y7 min

10.7.2. Example12 min

10.7.3. Practice10 min

10.7.4. Practice

10.8.1. Assessing a Multiple Regression Model5 min

10.8.2. F-test for Multiple Regression5 min

10.8.3. Solving for the F-score9 min

10.8.4. Example2 min

10.8.5. Practice8 min

10.9.1. Hypothesis Testing for Multiple Regression (F-test)7 min

10.9.2. Example26 min

10.9.3. Example13 min

10.9.4. Practice13 min

10.9.5. Practice12 min

11. Goodness-of-Fit and Contingency Tables

48min

11.1.1. Types of Chi Square Tests8 min

11.1.2. Chi-Square Test for "Goodness of Fit"4 min

11.1.3. Example7 min

11.1.4. Pratice9 min

11.1.5. Chi-Square Test for Independence5 min

11.1.6. Example8 min

11.1.7. Practice4 min

11.1.8. More on Chi-Square Tests3 min

12. Analysis of Variance

38min

12.1.1. One-Way ANOVA8 min

12.1.2. One-Way ANOVA Table10 min

12.1.3. Example9 min

12.1.4. Practice

12.2.1. One-Way ANOVA Hypothesis Test6 min

12.2.2. Example4 min

12.2.3. Practice

Mock Exams

ME.1. Mock Exam21 Qns

ME.2. Mock Exam18 Qns

ME.3. Mock Exam27 Qns

ME.4. Test 1 - Mock Assessment22 Qns

ME.5. Test 2 - Mock Assessment31 Qns

ME.6. Final Exam - Mock Assessment38 Qns

ME.3 Mock Exam

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