STAT 200

UBC

Course Overview

Lessons & Practice

I. Welcome

1. Collecting Data & Sampling

18min

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

2. Displaying & Summarizing Categorical Data

20min

2.1.1. Bar Chart3 min

2.1.2. Practice

2.2.1. Pie Chart3 min

2.2.2. Practice

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

2.3.2. Practice4 min

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

2.4.2. Simpson’s Paradox3 min

2.4.3. Practice

4. Standard Deviation & the Normal Model

51min

4.1.1. Transforming Data

4.1.2. Practice: Transforming Data

4.2.1. Normal Distribution11 min

4.2.2. Practice5 min

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

4.3.2. Standardizing a Normal Random Variable4 min

4.3.3. Example10 min

4.3.4. Practice6 min

4.3.5. Practice3 min

5. Scatterplots, Association, and Correlation

24min

5.1.1. Scatterplots5 min

5.1.2. Practice

5.2.1. Correlation5 min

5.2.2. Practice

5.2.3. Solving for Correlation2 min

5.2.4. Example6 min

5.2.5. Practice

5.2.6. Example3 min

5.2.7. Practice4 min

6. Simple Linear Regression

34min

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

6.1.2. Example7 min

6.1.3. Practice (Version 1)3 min

6.2.1. Predictions3 min

6.2.2. Residuals (Errors)5 min

6.2.3. Practice

6.2.4. Residual Plots2 min

6.2.5. Regression Diagnostics 5 min

6.2.6. Practice

6.2.7. Standard Deviation of the Residuals5 min

6.2.8. Practice

7. Sample Surveys

26min

7.1.1. Statistical Sampling28 sec

7.1.2. Convenience Sampling1 min

7.1.3. Simple Random Sampling3 min

7.1.4. Systematic Sampling2 min

7.1.5. Stratified Sampling vs. Cluster Sampling6 min

7.1.6. Two-Stage Cluster Sampling2 min

7.1.7. Practice

7.1.8. Practice

7.1.9. Practice

7.2.1. Sampling Bias7 min

7.2.2. Recipe for a Good Sample5 min

7.2.3. Practice

7.2.4. Practice

8. Experiments and Observational Studies

23min

8.1.1. Observational Studies4 min

8.1.2. Experimental Studies3 min

8.1.3. Example5 min

8.1.4. Practice

8.2.1. Types of Experimental Designs7 min

8.2.2. Principles of Experimental Design4 min

8.2.4. Practice

8.2.5. Practice

9. Probability

1.9hr

9.1.1. Events & Sample Spaces6 min

9.1.2. Types of Probability6 min

9.1.3. Probability Language & Notation4 min

9.1.4. Example3 min

9.1.5. Independent vs. Mutually Exclusive Events4 min

9.1.6. Example2 min

9.1.7. Practice

9.2.1. Venn Diagrams3 min

9.2.2. Tree Diagrams4 min

9.2.3. Two-way Table5 min

9.3.1. Interpretation of Probability2 min

9.3.2. Complement Rule3 min

9.3.3. Practice1 min

9.3.4. The Addition Rule4 min

9.4.1. Probability of Independent Events4 min

9.4.2. Example3 min

9.4.3. Practice2 min

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

9.5.2. Conditional Probability: Tree Diagram5 min

9.5.3. Bayes’ Theorem4 min

9.5.4. Example4 min

9.5.5. Practice3 min

9.6.1. Example6 min

9.6.2. Example7 min

9.6.3. Example7 min

9.6.4. Practice4 min

9.6.5. Practice5 min

9.7.1. Summary of Key Definitions6 min

10. Random Variables

46min

10.1.1. Discrete Random Variables8 min

10.1.2. Probability Distribution Function4 min

10.1.3. Example4 min

10.1.4. Practice

10.1.5. Practice6 min

10.1.6. Pratice4 min

10.2.1. Expected Value, Variance, and Standard Deviation of Discrete Random Variables6 min

10.2.2. Example5 min

10.2.3. Practice

10.3.1. Continuous Probability Distribution Theory10 min

11. Probability Models

1.4hr

11.1.1. Uniform Distribution1 min

11.1.2. Practice3 min

11.2.1. Normal Distribution11 min

11.2.2. Practice5 min

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

11.2.4. Standardizing a Normal Random Variable4 min

11.2.5. Example10 min

11.2.6. Practice6 min

11.2.7. Practice3 min

11.3.1. Binomial Experiment4 min

11.3.2. Binomial Distribution8 min

11.3.3. Example10 min

11.3.4. Example1 min

11.3.5. Practice6 min

11.3.6. Practice

12. Sampling Distribution

59min

12.1.1. Sampling Variability & Sampling Distribution12 min

12.2.1. Central Limit Theorem 5 min

12.2.2. Sampling Distribution for a Mean2 min

12.2.3. Example9 min

12.2.4. Sampling Distribution for a Mean Question5 min

12.3.1. Sampling Distribution of Proportions5 min

12.3.2. Example3 min

12.3.3. Sampling Distribution of Proportions4 min

12.4.1. Drawing Samples From a Finite Population8 min

12.4.2. Example4 min

12.4.3. Practice3 min

13. Confidence Intervals for a Proportion

27min

13.1.1. Introduction to Confidence Intervals14 min

13.2.1. Confidence Interval for a Proportion2 min

13.2.2. Example5 min

13.2.3. Practice4 min

13.3.1. Margin of Error and Sample Size3 min

13.3.2. Practice

14. Hypothesis Testing for a Proportion

1.4hr

14.1.1. Introduction to Hypothesis Testing 15 min

14.1.2. Hypothesis Testing Steps25 min

14.2.1. Hypothesis Test for a Proportion10 min

14.2.2. Example4 min

14.2.3. Practice5 min

14.2.4. Practice9 min

14.3.1. Type I and Type II Errors5 min

14.3.2. Type I and Type II Errors1 min

14.3.3. Practice

14.3.4. Practice

14.3.5. Power7 min

14.3.6. Practice

15. Inferences About Means

52min

15.1.1. Confidence Interval for a Mean13 min

15.1.2. Example4 min

15.1.3. Practice3 min

15.2.1. Hypothesis Test for a Mean3 min

15.2.2. Example16 min

15.2.3. Example8 min

15.2.4. Practice4 min

16. Inference for Two Population Means

1.6hr

16.1.1. Comparing Two Independent Means9 min

16.1.2. Hypothesis Test Steps: Comparing Two Independent Means11 min

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

16.2.2. Example (Unpooled)11 min

16.2.3. Practice (Unpooled)5 min

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

16.3.2. Example (Pooled)7 min

16.3.3. Practice (Pooled)7 min

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

16.4.2. Confidence Interval for Two Means Containing Zero7 min

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

16.5.1. Confidence Interval Unpooled t2 min

16.5.2. Example: Confidence Interval (Unpooled)5 min

16.5.3. Practice (Unpooled)

16.6.1. Confidence Interval Formula Pooled t2 min

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

16.6.3. Practice (Pooled)

17. Match Pairs (Paired Groups)

37min

17.1.1. Match Pairs for Dependent Means12 min

17.2.1. Hypothesis Test for Matched Pairs11 min

17.2.2. Example7 min

17.2.3. Practice3 min

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

17.3.2. Practice

18. Analysis of Variance

38min

18.1.1. One-Way ANOVA8 min

18.1.2. One-Way ANOVA Table10 min

18.1.3. Example9 min

18.2.1. One-Way ANOVA Hypothesis Test6 min

18.2.2. One-way ANOVA4 min

18.2.3. Practice

18.2.4. One-way ANOVA16 Qns

19. Chi-Square

48min

19.1.1. Types of Chi Square Tests8 min

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

19.1.3. Example7 min

19.1.4. Pratice9 min

19.1.5. Chi-Square Test for Independence5 min

19.1.6. Example8 min

19.1.7. Practice4 min

19.1.8. More on Chi-Square Tests3 min

Mock Exams

ME.1. Midterm - Mock Assessment28 Qns

ME.2. Final Exam - Mock Assessment46 Qns

ME.2 Final Exam - Mock Assessment

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Final Exam - Mock Assessment

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