BIOL 2060

York U

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

3. Describing 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. Range and Interquartile Range11 min

3.3.2. Variance and Standard Deviation6 min

3.3.3. Practice3 min

3.3.4. Practice3 min

3.3.5. Practice

3.4.1. Boxplots and Five Number Summary9 min

3.4.2. Practice4 min

3.4.3. Practice

3.5.1. Percentiles4 min

3.5.2. Example2 min

3.5.3. Practice

4. Estimating with Uncertainty

1.2hr

4.1.1. Sampling Variability & Sampling Distribution12 min

4.2.1. Central Limit Theorem 5 min

4.2.2. Sampling Distribution for a Mean2 min

4.2.3. Example9 min

4.2.4. Sampling Distribution for a Mean Question5 min

4.3.1. Sampling Distribution of Proportions5 min

4.3.2. Example3 min

4.3.3. Practice4 min

4.4.1. Drawing Samples From a Finite Population8 min

4.4.2. Example4 min

4.4.3. Practice3 min

4.5.1. Introduction to Confidence Intervals14 min

5. Probability

2.4hr

5.1.1. Events & Sample Spaces6 min

5.1.2. Types of Probability6 min

5.1.3. Probability Language & Notation4 min

5.1.4. Example3 min

5.1.5. Independent vs. Mutually Exclusive Events4 min

5.1.6. Example2 min

5.1.7. Practice

5.2.1. Venn Diagrams3 min

5.2.2. Tree Diagrams4 min

5.2.3. Two-way Table5 min

5.3.1. Interpretation of Probability2 min

5.3.2. Complement Rule3 min

5.3.3. Practice1 min

5.3.4. The Addition Rule4 min

5.4.1. Probability of Independent Events4 min

5.4.2. Example3 min

5.4.3. Practice2 min

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

5.5.2. Conditional Probability: Tree Diagram5 min

5.5.3. Bayes’ Theorem4 min

5.5.4. Example4 min

5.5.5. Practice3 min

5.6.1. Example6 min

5.6.2. Example7 min

5.6.3. Example7 min

5.6.4. Practice4 min

5.6.5. Practice5 min

5.7.1. Summary of Key Definitions6 min

5.8.1. Fundamental Counting Principle6 min

5.8.2. Permutations and Combinations6 min

5.8.3. Practice1 min

5.8.4. Practice54 sec

5.8.5. More Combination Rules3 min

5.8.6. Example4 min

5.8.7. Practice3 min

5.8.8. Practice

5.9.1. Counting and Probability3 min

5.9.3. Practice1 min

6. Hypothesis Testing

54min

6.1.1. Introduction to Hypothesis Testing 15 min

6.1.2. Hypothesis Testing Steps25 min

6.2.1. Type I and Type II Errors5 min

6.2.2. Type I and Type II Errors1 min

6.2.3. Practice

6.2.4. Practice

6.2.5. Power7 min

6.2.6. Practice

7. Analyzing Proportions

1.5hr

7.1.1. Confidence Interval for a Proportion2 min

7.1.2. Example5 min

7.1.3. Practice4 min

7.2.1. Hypothesis Test for a Proportion10 min

7.2.2. Example4 min

7.2.3. Practice5 min

7.2.4. Practice9 min

7.3.1. Confidence Interval for Differences in Population Proportions3 min

7.3.2. Confidence Interval for Two Proportions1 min

7.3.3. Example4 min

7.3.4. Practice4 min

7.4.1. Hypothesis Testing for Two Independent Population Proportions9 min

7.4.2. Hypothesis Test Steps: Comparing Two Independent Proportions8 min

7.4.3. Example13 min

7.4.4. Practice (Pooled)6 min

8. Fitting Probability Models to Frequency Data

27min

8.1.1. Types of Chi Square Tests8 min

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

8.1.3. Example7 min

8.1.4. Pratice9 min

9. Contingency Analysis: Associations between Categorical Variables

21min

9.1.1. Chi-Square Test for Independence5 min

9.1.2. Example8 min

9.1.3. Practice4 min

9.1.4. More on Chi-Square Tests3 min

10. The Normal Distribution

1.4hr

10.1.1. Continuous Probability Distribution Theory10 min

10.2.1. Normal Distribution11 min

10.2.2. Practice5 min

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

10.3.2. Standardizing a Normal Random Variable4 min

10.3.3. Example10 min

10.3.4. Practice6 min

10.3.5. Practice3 min

10.4.1. Sampling Variability & Sampling Distribution12 min

10.5.1. Drawing Samples From a Finite Population8 min

10.5.2. Example4 min

10.5.3. Practice3 min

11. Inference for a Normal Population

1.1hr

11.1.1. Introduction to Confidence Intervals14 min

11.2.1. Confidence Interval for a Mean13 min

11.2.2. Example4 min

11.2.3. Practice3 min

11.3.1. Hypothesis Test for a Mean3 min

11.3.2. Example16 min

11.3.3. Example8 min

11.3.4. Practice4 min

12. Comparing Two Means

2.8hr

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

12.1.2. Confidence Interval for Two Means Containing Zero7 min

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

12.2.1. Confidence Interval Unpooled t2 min

12.2.2. Example: Confidence Interval (Unpooled)5 min

12.2.3. Practice (Unpooled)

12.3.1. Confidence Interval Pooled t2 min

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

12.3.3. Practice (Pooled)

12.4.1. Comparing Two Independent Means9 min

12.4.2. Hypothesis Test Steps: Comparing Two Independent Means11 min

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

12.5.2. Example (Unpooled)11 min

12.5.3. Practice (Unpooled)5 min

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

12.6.2. Example (Pooled)7 min

12.6.3. Practice (Pooled)7 min

12.7.1. Match Pairs for Dependent Means12 min

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

12.8.2. Practice

12.9.1. Hypothesis Test for Matched Pairs11 min

12.9.2. Example7 min

12.9.3. Practice3 min

12.10.1. Test of Equality of Two Variances7 min

12.11.1. F-Test for Equality of Two Variances11 min

12.11.2. Example6 min

12.11.3. F-Test for Equality of Two Variances

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

12.12.2. Example7 min

12.12.3. Practice

13. Skip

14. Skip

15. Comparing Means of More than Two Groups

38min

15.1.1. One-Way ANOVA8 min

15.1.2. One-Way ANOVA Table10 min

15.1.3. Example9 min

15.1.4. Practice

15.2.1. One-Way ANOVA Hypothesis Test6 min

15.2.2. Example4 min

15.2.3. Practice

16. Correlation Between Numerical Variables

32min

16.1.1. Correlation5 min

16.1.2. Practice

16.2.1. Solving for Correlation2 min

16.2.2. Example6 min

16.2.3. Practice4 min

16.2.4. Example3 min

16.2.5. Practice

16.3.1. Coefficient of Determination (R Squared)7 min

16.3.2. Assessing Goodness of Fit6 min

16.3.3. Practice

17. Regression

2.6hr

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

17.1.2. Example7 min

17.1.3. Practice (Version 1)3 min

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

17.1.5. Example5 min

17.1.6. Practice (Version 2)5 min

17.2.1. Predictions3 min

17.2.2. Residuals (Errors)5 min

17.2.3. Practice

17.2.4. Residual Plots2 min

17.2.5. Regression Diagnostics 5 min

17.2.6. Practice

17.2.7. Standard Deviation of the Residuals5 min

17.2.8. Practice

17.3.1. Estimating the Coefficients of the Linear Regression Model9 min

17.3.2. Measures of Variation in Regression9 min

17.3.3. Practice

17.4.1. Standard Error and R Square Formulas7 min

17.4.2. Example5 min

17.4.3. Practice4 min

17.5.1. Hypothesis Testing for Linear Regression14 min

17.5.2. Example17 min

17.5.3. Example13 min

17.5.4. Practice: Linear Regression Analysis6 min

17.6.1. Prediction Interval of Y7 min

17.6.2. Example12 min

17.6.3. Practice10 min

17.6.4. Practice

Mock Exams

ME.1. Mock Exam21 Qns

ME.2. Mock Exam18 Qns

ME.3. Mock Exam27 Qns

ME.4. Test 1 - Mock Assessment33 Qns

ME.5. Test 2 - Mock Assessment16 Qns

ME.6. Test 3 - Mock Assessment24 Qns

ME.7. Final Exam - Mock Assessment24 Qns

ME.3 Mock Exam

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