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Introductory Statistics

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  1. Introductory Statistics v2

  2. Faculty Resources
    1. Teaching Resources

    2. Technical Resources

    3. Evidence-Based Teaching Practices

  3. Course Resources
    1. Students: How to Use Lumen Course Materials

    2. Students: Additional Lumen Resources

  4. Module 1 - Thinking Statistically and Collecting Data
    1. Module 1: Cheat Sheet

    2. Module 1: Background You'll Need 1

    3. Module 1: Background You'll Need 2

    4. Module 1: Background You'll Need 3

    5. Thinking Statistically: Learn It 1

    6. Thinking Statistically: Learn It 2

    7. Thinking Statistically: Apply It 1

    8. Thinking Statistically: Fresh Take

    9. Statistical Questions: Learn It 1

    10. Statistical Questions: Learn It 2

    11. Statistical Questions: Learn It 3

    12. Statistical Questions: Apply It 1

    13. Statistical Questions: Apply It 2

    14. Statistical Questions: Fresh Take

    15. Statistical Studies: Learn It 1

    16. Statistical Studies: Learn It 2

    17. Statistical Studies: Learn It 3

    18. Statistical Studies: Apply It 1

    19. Statistical Studies: Fresh Take

    20. Sampling Methods and Bias: Learn It 1

    21. Sampling Methods and Bias: Learn It 2

    22. Sampling Methods and Bias: Learn It 3

    23. Sampling Methods and Bias: Learn It 4

    24. Sampling Methods and Bias: Apply It 1

    25. Sampling Methods and Bias: Apply It 2

    26. Sampling Methods and Bias: Apply It 3

    27. Sampling Methods and Bias: Fresh Take

    28. Thinking Statistically and Collecting Data: Practice

  5. Module 2 - Statistical Studies
    1. Module 2: Cheat Sheet

    2. Module 2: Background You'll Need 1

    3. Module 2: Background You'll Need 2

    4. Observational Studies: Learn It 1

    5. Observational Studies: Apply It 1

    6. Observational Studies: Fresh Take

    7. Experimental Design: Learn It 1

    8. Experimental Design: Learn It 2

    9. Experimental Design: Learn It 3

    10. Experimental Design: Learn It 4

    11. Experimental Design: Apply It 1

    12. Experimental Design: Apply It 2

    13. Experimental Design: Fresh Take

    14. Advanced Experimental Design: Learn It 1

    15. Advanced Experimental Design: Learn It 2

    16. Advanced Experimental Design: Learn It 3

    17. Advanced Experimental Design: Apply It 1

    18. Advanced Experimental Design: Apply It 2

    19. Advanced Experimental Design: Fresh Take

    20. Analyzing Statistics in Media: Learn It 1

    21. Analyzing Statistics in Media: Learn It 2

    22. Analyzing Statistics in Media: Learn It 3

    23. Analyzing Statistics in Media: Learn It 4

    24. Analyzing Statistics in Media: Learn It 5

    25. Analyzing Statistics in Media: Apply It 1

    26. Analyzing Statistics in Media: Fresh Take

    27. Statistical Studies: Practice

  6. Module 3 - Describing Data Graphically
    1. Module 3: Cheat Sheet

    2. Describing Data Graphically: Background You'll Need 1

    3. Describing Data Graphically: Background You'll Need 2

    4. Describing Data Graphically: Background You'll Need 3

    5. Displaying Categorical Data: Learn It 1

    6. Displaying Categorical Data: Learn It 2

    7. Displaying Categorical Data: Learn It 3

    8. Displaying Categorical Data: Learn It 4

    9. Displaying Categorical Data: Apply It 1

    10. Displaying Categorical Data: Fresh Take

    11. Applications of Bar Graphs: Learn It 1

    12. Applications of Bar Graphs: Learn It 2

    13. Applications of Bar Graphs: Learn It 3

    14. Applications of Bar Graphs: Apply It 1

    15. Applications of Bar Graphs: Fresh Take

    16. Visualizing Quantitative Data: Learn It 1

    17. Visualizing Quantitative Data: Learn It 2

    18. Visualizing Quantitative Data: Learn It 3

    19. Visualizing Quantitative Data: Apply It 1

    20. Visualizing Quantitative Data: Fresh Take

    21. Distribution of Quantitative Variables: Learn It 1

    22. Distribution of Quantitative Variables: Learn It 2

    23. Distribution of Quantitative Variables: Learn It 3

    24. Distribution of Quantitative Variables: Apply It 1

    25. Distribution of Quantitative Variables: Fresh Take

    26. Comparing Quantitative Distributions: Learn It 1

    27. Comparing Quantitative Distributions: Learn It 2

    28. Comparing Quantitative Distributions: Learn It 3

    29. Comparing Quantitative Distributions: Apply It 1

    30. Comparing Quantitative Distributions: Apply It 2

    31. Comparing Quantitative Distributions: Fresh Take

    32. Describing Data Graphically: Practice

  7. Module 4 - Describing Data Numerically
    1. Module 4: Cheat Sheet

    2. Describing Data Numerically: Background You'll Need 1

    3. Describing Data Numerically: Background You’ll Need 2

    4. Describing Data Numerically: Background You'll Need 3

    5. Describing Data Numerically: Background You'll Need 4

    6. Measures of Center: Learn It 1

    7. Measures of Center: Learn It 2

    8. Measures of Center: Learn It 3

    9. Measures of Center: Learn It 4

    10. Measures of Center: Apply It 1

    11. Measures of Center: Apply It 2

    12. Measures of Center: Fresh Take

    13. Interpreting the Mean and Median: Learn It 1

    14. Interpreting the Mean and Median: Learn It 2

    15. Interpreting the Mean and Median: Learn It 3

    16. Interpreting the Mean and Median: Apply It 1

    17. Interpreting the Mean and Median: Apply It 2

    18. Interpreting the Mean and Median: Apply It 3

    19. Interpreting the Mean and Median: Fresh Take

    20. Boxplot Data and Displays: Learn It 1

    21. Boxplot Data and Displays: Learn It 2

    22. Boxplot Data and Displays: Learn It 3

    23. Boxplot Data and Displays: Learn It 4

    24. Boxplot Data and Displays: Learn It 5

    25. Boxplot Data and Displays: Apply It 1

    26. Boxplot Data and Displays: Apply It 2

    27. Boxplot Data and Displays: Apply It 3

    28. Boxplot Data and Displays: Fresh Take

    29. Measures of Variability: Learn It 1

    30. Measures of Variability: Learn It 2

    31. Measures of Variability: Learn It 3

    32. Measures of Variability: Learn It 4

    33. Measures of Variability: Learn It 5

    34. Measures of Variability: Learn It 6

    35. Measures of Variability: Apply It 1

    36. Measures of Variability: Apply It 2

    37. Measures of Variability: Apply It 3

    38. Measures of Variability: Fresh Take

    39. Z-Score and the Empirical Rule: Learn It 1

    40. Z-Score and the Empirical Rule: Learn It 2

    41. Z-Score and the Empirical Rule: Learn It 3

    42. Z-Score and the Empirical Rule: Learn It 4

    43. Z-Score and the Empirical Rule: Learn It 5

    44. Z-Score and the Empirical Rule: Apply It 1

    45. Z-Score and the Empirical Rule: Apply It 2

    46. Z-Score and the Empirical Rule: Apply It 3

    47. Z-Score and the Empirical Rule: Fresh Take

    48. Describing Data Numerically: Practice

  8. Module 5 - Modeling and Analysis of Bivariate Data
    1. Module 5: Cheat Sheet

    2. Module 5: Background You'll Need 1

    3. Module 5: Background You'll Need 2

    4. Module 5: Background You'll Need 3

    5. Module 5: Background You'll Need 4

    6. Scatterplots & Correlation Coefficients: Learn It 1

    7. Scatterplots & Correlation Coefficients: Learn It 2

    8. Scatterplots & Correlation Coefficients: Learn It 3

    9. Scatterplots & Correlation Coefficients: Learn It 4

    10. Scatterplots & Correlation Coefficients: Apply It 1

    11. Scatterplots & Correlation Coefficients: Fresh Take

    12. Line of Best Fit: Learn It 1

    13. Line of Best Fit: Learn It 2

    14. Line of Best Fit: Learn It 3

    15. Line of Best Fit: Learn It 4

    16. Line of Best Fit: Learn It 5

    17. Line of Best Fit: Apply It 1

    18. Line of Best Fit: Apply It 2

    19. Line of Best Fit: Apply It 3

    20. Line of Best Fit: Fresh Take

    21. Coefficient of Determination: Learn It 1

    22. Coefficient of Determination: Learn It 2

    23. Coefficient of Determination: Learn It 3

    24. Coefficient of Determination: Learn It 4

    25. Coefficient of Determination: Learn It 5

    26. Coefficient of Determination: Apply It 1

    27. Coefficient of Determination: Fresh Take

    28. Assessing the Fit of a Line: Learn It 1

    29. Assessing the Fit of a Line: Learn It 2

    30. Assessing the Fit of a Line: Learn It 3

    31. Assessing the Fit of a Line: Learn It 4

    32. Assessing the Fit of a Line: Learn It 5

    33. Assessing the Fit of a Line: Apply It 1

    34. Assessing the Fit of a Line: Apply It 2

    35. Assessing the Fit of a Line: Apply It 3

    36. Assessing the Fit of a Line: Fresh Take

    37. Modeling and Analysis of Bivariate Data: Practice

  9. Module 6 - Probability
    1. Module 6: Cheat Sheet

    2. Probability: Background You'll Need 1

    3. Probability: Background You'll Need 2

    4. Probability: Learn It 1

    5. Probability: Learn It 2

    6. Probability: Learn It 3

    7. Probability: Apply It 1

    8. Probability: Apply It 2

    9. Probability: Fresh Take

    10. Probability of Compound Events: Learn It 1

    11. Probability of Compound Events: Learn It 2

    12. Probability of Compound Events: Learn It 3

    13. Probability of Compound Events: Apply It 1

    14. Probability of Compound Events: Apply It 2

    15. Probability of Compound Events: Fresh Take

    16. Conditional Probabilities: Learn It 1

    17. Conditional Probabilities: Learn It 2

    18. Conditional Probabilities: Learn It 3

    19. Conditional Probabilities: Learn It 4

    20. Conditional Probabilities: Learn It 5

    21. Conditional Probabilities: Apply It 1

    22. Conditional Probabilities: Apply It 2

    23. Conditional Probabilities: Fresh Take

    24. Probability: Practice

  10. Module 7 - The Normal Distribution
    1. Module 7: Cheat Sheet

    2. Module 7: Background You'll Need 1

    3. Module 7: Background You'll Need 2

    4. Module 7: Background You'll Need 3

    5. Probability Distributions: Learn It 1

    6. Probability Distributions: Learn It 2

    7. Probability Distributions: Learn It 3

    8. Probability Distributions: Apply It 1

    9. Probability Distributions: Apply It 2

    10. Probability Distributions: Apply It 3

    11. Probability Distributions: Fresh Take

    12. Normal Distribution: Learn It 1

    13. Normal Distribution: Learn It 2

    14. Normal Distribution: Learn It 3

    15. Normal Distribution: Learn It 4

    16. Normal Distribution: Apply It 1

    17. Normal Distribution: Apply It 2

    18. Normal Distribution: Apply It 3

    19. Normal Distribution: Fresh Take

    20. Normal Distribution (continued): Learn It 1

    21. Normal Distribution (continued): Learn It 2

    22. Normal Distribution (continued): Learn It 3

    23. Normal Distribution (continued): Apply It 1

    24. Normal Distribution (continued): Apply It 2

    25. Normal Distribution (continued): Fresh Take

    26. The Normal Distribution: Practice

  11. Module 8 - Introduction to Sampling Distributions
    1. Module 8: Cheat Sheet

    2. Module 8: Background You'll Need 1

    3. Module 8: Background You'll Need 2

    4. Module 8: Background You'll Need 3

    5. Module 8: Background You'll Need 4

    6. Module 8: Background You'll Need 5

    7. Module 8: Background You'll Need 6

    8. Inference Basics: Learn It 1

    9. Inference Basics: Learn It 2

    10. Inference Basics: Learn It 3

    11. Inference Basics: Apply It 1

    12. Inference Basics: Apply It 2

    13. Inference Basics: Fresh Take

    14. Sampling Distribution of a Sample Proportion: Learn It 1

    15. Sampling Distribution of a Sample Proportion: Learn It 2

    16. Sampling Distribution of a Sample Proportion: Learn It 3

    17. Sampling Distribution of a Sample Proportion: Learn It 4

    18. Sampling Distribution of a Sample Proportion: Apply It 1

    19. Sampling Distribution of a Sample Proportion: Fresh Take

    20. Sampling Variability: Learn It 1

    21. Sampling Variability: Learn It 2

    22. Sampling Variability: Learn It 3

    23. Sampling Variability: Learn It 4

    24. Sampling Variability: Apply It 1

    25. Sampling Variability: Apply It 2

    26. Sampling Variability: Apply It 3

    27. Sampling Variability: Apply It 4

    28. Sampling Variability: Fresh Take

    29. Introduction to Sampling Distributions: Practice

  12. Module 9 - Confidence Intervals for Population Proportions
    1. Module 9: Cheat Sheet

    2. Module 9: Background You'll Need 1

    3. Module 9: Background You'll Need 2

    4. Module 9: Background You'll Need 3

    5. Module 9: Background You'll Need 4

    6. Module 9: Background You'll Need 5

    7. Confidence Interval for Proportions: Learn It 1

    8. Confidence Interval for Proportions: Learn It 2

    9. Confidence Interval for Proportions: Learn It 3

    10. Confidence Interval for Proportions: Learn It 4

    11. Confidence Interval for Proportions: Learn It 5

    12. Confidence Interval for Proportions: Apply It 1

    13. Confidence Interval for Proportions: Apply It 2

    14. Confidence Interval for Proportions: Apply It 3

    15. Confidence Interval for Proportions: Fresh Take

    16. Confidence Interval for Proportions (continued): Learn It 1

    17. Confidence Interval for Proportions (continued): Learn It 2

    18. Confidence Interval for Proportions (continued): Learn It 3

    19. Confidence Interval for Proportions (continued): Apply It 1

    20. Confidence Interval for Proportions (continued): Apply It 2

    21. Confidence Interval for Proportions (continued): Fresh Take

    22. Sample Size for Proportions: Learn It 1

    23. Sample Size for Proportions: Learn It 2

    24. Sample Size for Proportions: Learn It 3

    25. Sample Size for Proportions: Learn It 4

    26. Sample Size for Proportions: Apply It 1

    27. Sample Size for Proportions: Fresh Take

    28. Confidence Intervals for the Difference in Population Proportions: Learn It 1

    29. Confidence Intervals for the Difference in Population Proportions: Learn It 2

    30. Confidence Intervals for the Difference in Population Proportions: Learn It 3

    31. Confidence Intervals for the Difference in Population Proportions: Learn It 4

    32. Confidence Intervals for the Difference in Population Proportions: Apply It 1

    33. Confidence Intervals for the Difference in Population Proportions: Apply It 2

    34. Confidence Intervals for the Difference in Population Proportions: Apply It 3

    35. Confidence Intervals for the Difference in Population Proportions: Fresh Take

    36. Confidence Intervals for Population Proportions: Practice

  13. Module 10 - Hypothesis Testing for Population Proportions
    1. Module 10: Cheat Sheet

    2. Module 10: Background You'll Need 1

    3. Module 10: Background You'll Need 2

    4. Module 10: Background You'll Need 3

    5. Module 10: Background You'll Need 4

    6. Module 10: Background You'll Need 5

    7. Module 10: Background You'll Need 6

    8. Null and Alternative Hypotheses: Learn It 1

    9. Null and Alternative Hypotheses: Learn It 2

    10. Null and Alternative Hypotheses: Learn It 3

    11. Null and Alternative Hypotheses: Learn It 4

    12. Null and Alternative Hypotheses: Apply It 1

    13. Null and Alternative Hypotheses: Apply It 2

    14. Null and Alternative Hypotheses: Apply It 3

    15. Null and Alternative Hypotheses: Fresh Take

    16. One-Sample Hypothesis Test for Proportions: Learn It 1

    17. One-Sample Hypothesis Test for Proportions: Learn It 2

    18. One-Sample Hypothesis Test for Proportions: Learn It 3

    19. One-Sample Hypothesis Test for Proportions: Learn It 4

    20. One-Sample Hypothesis Test for Proportions: Learn It 5

    21. One-Sample Hypothesis Test for Proportions: Apply It 1

    22. One-Sample Hypothesis Test for Proportions: Apply It 2

    23. One-Sample Hypothesis Test for Proportions: Fresh Take

    24. Errors in Hypothesis Testing: Learn It 1

    25. Errors in Hypothesis Testing: Learn It 2

    26. Errors in Hypothesis Testing: Learn It 3

    27. Errors in Hypothesis Testing: Learn It 4

    28. Errors in Hypothesis Testing: Apply It 1

    29. Errors in Hypothesis Testing: Apply It 2

    30. Errors in Hypothesis Testing: Apply It 3

    31. Errors in Hypothesis Testing: Fresh Take

    32. Two-Sample Test for Proportions: Learn It 1

    33. Two-Sample Test for Proportions: Learn It 2

    34. Two-Sample Test for Proportions: Learn It 3

    35. Two-Sample Test for Proportions: Learn It 4

    36. Two-Sample Test for Proportions: Learn It 5

    37. Two-Sample Test for Proportions: Apply It 1

    38. Two-Sample Test for Proportions: Apply It 2

    39. Two-Sample Test for Proportions: Fresh Take

    40. Connecting Tests and Intervals: Learn It 1

    41. Connecting Tests and Intervals: Learn It 2

    42. Connecting Tests and Intervals: Learn It 3

    43. Connecting Tests and Intervals: Learn It 4

    44. Connecting Tests and Intervals: Apply It 1

    45. Connecting Tests and Intervals: Apply It 2

    46. Connecting Tests and Intervals: Fresh Take

    47. Hypothesis Testing for Population Proportions: Practice

  14. Module 11 - Confidence Intervals for Population Means
    1. Module 11: Cheat Sheet

    2. Module 11: Background You'll Need 1

    3. Module 11: Background You'll Need 2

    4. Module 11: Background You'll Need 3

    5. Module 11: Background You'll Need 4

    6. Module 11: Background You'll Need 5

    7. Sampling Distribution of a Sample Mean: Learn It 1

    8. Sampling Distribution of a Sample Mean: Learn It 2

    9. Sampling Distribution of a Sample Mean: Learn It 3

    10. Sampling Distribution of a Sample Mean: Learn It 4

    11. Sampling Distribution of a Sample Mean: Apply It 1

    12. Sampling Distribution of a Sample Mean: Apply It 2

    13. Sampling Distribution of a Sample Mean: Fresh Take

    14. t-distribution: Learn It 1

    15. t-distribution: Learn It 2

    16. t-distribution: Learn It 3

    17. t-distribution: Learn It 4

    18. t-distribution: Apply It 1

    19. t-distribution: Apply It 2

    20. t-distribution: Fresh Take

    21. Confidence Interval for a Population Mean: Learn It 1

    22. Confidence Interval for a Population Mean: Learn It 2

    23. Confidence Interval for a Population Mean: Learn It 3

    24. Confidence Interval for a Population Mean: Learn It 4

    25. Confidence Interval for a Population Mean: Apply It 1

    26. Confidence Interval for a Population Mean: Apply It 2

    27. Confidence Interval for Population Mean: Fresh Take

    28. Confidence Interval for Difference in Population Means: Learn It 1

    29. Confidence Interval for Difference in Population Means: Learn It 2

    30. Confidence Interval for Difference in Population Means: Learn It 3

    31. Confidence Interval for Difference in Population Means: Learn It 4

    32. Confidence Interval for Difference in Population Means: Apply It 1

    33. Confidence Interval for Difference in Population Means: Apply It 2

    34. Confidence Interval for Difference in Population Means: Fresh Take

    35. Confidence Intervals for Population Means: Practice

  15. Module 12 - Hypothesis Testing for Population Means
    1. Module 12: Cheat Sheet

    2. Module 12: Background You'll Need 1

    3. Module 12: Background You'll Need 2

    4. Module 12: Background You'll Need 3

    5. Module 12: Background You'll Need 4

    6. Module 12: Background You'll Need 5

    7. Null and Alternative Hypothesis for Means: Learn It 1

    8. Null and Alternative Hypothesis for Means: Learn It 2

    9. Null and Alternative Hypothesis for Means: Learn It 3

    10. Null and Alternative Hypothesis for Means: Learn It 4

    11. Null and Alternative Hypothesis for Means: Apply It 1

    12. Null and Alternative Hypothesis for Means: Apply It 2

    13. Null and Alternative Hypothesis for Means: Fresh Take

    14. One-Sample Hypothesis Test for Means: Learn It 1

    15. One-Sample Hypothesis Test for Means: Learn It 2

    16. One-Sample Hypothesis Test for Means: Learn It 3

    17. One-Sample Hypothesis Test for Means: Apply It 1

    18. One-Sample Hypothesis Test for Means: Apply It 2

    19. One-Sample Hypothesis Test for Means: Fresh Take

    20. Comparing Two Population Means (Independent Samples): Learn It 1

    21. Comparing Two Population Means (Independent Samples): Learn It 2

    22. Comparing Two Population Means (Independent Samples): Learn It 3

    23. Comparing Two Population Means (Independent Samples): Apply It 1

    24. Comparing Two Population Means (Independent Samples): Apply It 2

    25. Comparing Two Population Means (Independent Samples): Fresh Take

    26. Comparing Two Population Means (Dependent Samples): Learn It 1

    27. Comparing Two Population Means (Dependent Samples): Learn It 2

    28. Comparing Two Population Means (Dependent Samples): Learn It 3

    29. Comparing Two Population Means (Dependent Samples): Learn It 4

    30. Comparing Two Population Means (Dependent Samples): Learn It 5

    31. Comparing Two Population Means (Dependent Samples): Apply It 1

    32. Comparing Two Population Means (Dependent Samples): Apply It 2

    33. Comparing Two Population Means (Dependent Samples): Fresh Take

    34. Hypothesis Testing for Population Means: Practice

  16. Module 13 - Analysis of Variance
    1. Module 13: Cheat Sheet

    2. Module 13: Background You'll Need 1

    3. Module 13: Background You'll Need 2

    4. Module 13: Background You'll Need 3

    5. Module 13: Background You'll Need 4

    6. Module 13: Background You'll Need 5

    7. Module 13: Background You'll Need 6

    8. Introduction to One-Way ANOVA – Learn It 1

    9. Introduction to One-Way ANOVA – Learn It 2

    10. Introduction to One-Way ANOVA – Learn It 3

    11. Introduction to One-Way ANOVA – Apply It 1

    12. Introduction to One-Way ANOVA – Apply It 2

    13. Introduction to One-Way ANOVA – Apply It 3

    14. Introduction to One-Way ANOVA – Fresh Take

    15. Conditions for ANOVA - Learn It 1

    16. Conditions for ANOVA - Learn It 2

    17. Conditions for ANOVA - Learn It 3

    18. Conditions for ANOVA - Apply It 1

    19. Conditions for ANOVA - Apply It 2

    20. Conditions for ANOVA - Fresh Take

    21. ANOVA - Learn It 1

    22. ANOVA - Learn It 2

    23. ANOVA - Learn It 3

    24. ANOVA - Learn It 4

    25. ANOVA - Apply It 1

    26. ANOVA - Fresh Take

    27. Pair-wise Comparisons for ANOVA – Learn It 1

    28. Pair-wise Comparisons for ANOVA – Learn It 2

    29. Pair-wise Comparisons for ANOVA – Learn It 3

    30. Pair-wise Comparisons for ANOVA – Learn It 4

    31. Pair-wise Comparisons for ANOVA – Learn It 5

    32. Pair-wise Comparisons for ANOVA – Apply It 1

    33. Pair-wise Comparisons for ANOVA - Fresh Take

    34. Analysis of Variance: Practice

  17. Module 14 - Chi-Square Statistics
    1. Module 14: Cheat Sheet

    2. Module 14: Background You'll Need 1

    3. Module 14: Background You'll Need 2

    4. Module 14: Background You'll Need 3

    5. Module 14: Background You'll Need 4

    6. Introduction to Chi-Square Statistics - Learn It 1

    7. Introduction to Chi-Square Statistics – Learn It 2

    8. Introduction to Chi-Square Statistics – Learn It 3

    9. Introduction to Chi-Square Statistics – Apply It 1

    10. Introduction to Chi-Square Statistics – Apply It 2

    11. Introduction to Chi-Square Statistics – Apply It 3

    12. Introduction to Chi-Square Statistics – Fresh Take

    13. Chi-Square Test for Goodness of Fit – Learn It 1

    14. Chi-Square Test for Goodness of Fit – Learn It 2

    15. Chi-Square Test for Goodness of Fit – Learn It 3

    16. Chi-Square Test for Goodness of Fit – Apply It 1

    17. Chi-Square Test for Goodness of Fit – Apply It 2

    18. Chi-Square Test for Goodness of Fit – Fresh Take

    19. Chi-Square Test of Homogeneity – Learn It 1

    20. Chi-Square Test of Homogeneity – Learn It 2

    21. Chi-Square Test of Homogeneity – Learn It 3

    22. Chi-Square Test of Homogeneity – Learn It 4

    23. Chi-Square Test of Homogeneity – Learn It 5

    24. Chi-Square Test of Homogeneity – Learn It 6

    25. Chi-Square Test of Homogeneity – Apply It 1

    26. Chi-Square Test of Homogeneity – Fresh Take

    27. Chi-Square Test of Independence – Learn It 1

    28. Chi-Square Test of Independence – Learn It 2

    29. Chi-Square Test of Independence – Learn It 3

    30. Chi-Square Test of Independence – Learn It 4

    31. Chi-Square Test of Independence – Learn It 5

    32. Chi-Square Test of Independence – Apply It 1

    33. Chi-Square Test of Independence – Fresh Take

    34. Fisher's Exact Test – Learn It 1

    35. Fisher's Exact Test – Learn It 2

    36. Fisher's Exact Test – Learn It 3

    37. Fisher's Exact Test – Apply It 1

    38. Fisher's Exact Test – Apply It 2

    39. Fisher's Exact Test – Apply It 3

    40. Fisher's Exact Test – Fresh Take

    41. Chi-Square Statistics: Practice

  18. Module 15 - Inferences Concerning Regression Models
    1. Module 15: Cheat Sheet

    2. Module 15: Background You'll Need 1

    3. Module 15: Background You'll Need 2

    4. Module 15: Background You'll Need 3

    5. Module 15: Background You'll Need 4

    6. Module 15: Background You'll Need 5

    7. Module 15: Background You'll Need 6

    8. Test for Significance of Slope - Learn It 1

    9. Test for Significance of Slope - Learn It 2

    10. Test for Significance of Slope - Learn It 3

    11. Test for Significance of Slope - Apply It 1

    12. Test for Significance of Slope – Apply It 2

    13. Test for Significance of Slope – Fresh Take

    14. ANOVA for Regression - Learn It 1

    15. ANOVA for Regression - Learn It 2

    16. ANOVA for Regression - Learn It 3

    17. ANOVA for Regression - Apply It 1

    18. ANOVA for Regression - Fresh Take

    19. Confidence Interval and Prediction Interval - Learn It 1

    20. Confidence Interval and Prediction Interval - Learn It 2

    21. Confidence Interval and Prediction Interval - Learn It 3

    22. Confidence Interval and Prediction Interval - Apply It 1

    23. Confidence Interval and Prediction Interval - Apply It 2

    24. Confidence Interval and Prediction Interval - Apply It 3

    25. Confidence Interval and Prediction Interval - Fresh Take

    26. Transforming Data - Learn It 1

    27. Transforming Data - Learn It 2

    28. Transforming Data - Apply It 1

    29. Transforming Data - Fresh Take

    30. Inferences Concerning Regression Models: Practice

  19. Module 16 - Multiple Linear Regression
    1. Module 16: Cheat Sheet

    2. Module 16: Background You'll Need 1

    3. Module 16: Background You'll Need 2

    4. Module 16: Background You'll Need 3

    5. Module 16: Background You'll Need 4

    6. Module 16: Background You'll Need 5

    7. Module 16: Background You'll Need 6

    8. Multiple Linear Regression - Learn It 1

    9. Multiple Linear Regression - Learn It 2

    10. Multiple Linear Regression - Learn It 3

    11. Multiple Linear Regression - Learn It 4

    12. Multiple Linear Regression - Apply It 1

    13. Multiple Linear Regression - Apply It 2

    14. Multiple Linear Regression - Fresh Take

    15. Indicator Variable - Learn It 1

    16. Indicator Variable - Learn It 2

    17. Indicator Variable - Learn It 3

    18. Indicator Variable - Apply It 1

    19. Indicator Variable - Apply It 2

    20. Indicator Variable - Fresh Take

    21. Interaction Terms - Learn It 1

    22. Interaction Terms - Learn It 2

    23. Interaction Terms - Learn It 3

    24. Interaction Terms - Apply It 1

    25. Interaction Terms - Apply It 2

    26. Interaction Terms - Fresh Take

    27. Multiple Linear Regression: Practice

  20. Module 17 - Bootstrap and Simulation-Based Statistics
    1. Module 17: Cheat Sheet

    2. Module 17: Background You'll Need 1

    3. Module 17: Background You'll Need 2

    4. Module 17: Background You'll Need 3

    5. Module 17: Background You'll Need 4

    6. Module 17: Background You'll Need 5

    7. Module 17: Background You'll Need 6

    8. Bootstrap Distribution and Confidence Interval for a Population Mean - Learn It 1

    9. Bootstrap Distribution and Confidence Interval for a Population Mean - Learn It 2

    10. Bootstrap Distribution and Confidence Interval for a Population Mean - Learn It 3

    11. Bootstrap Distribution and Confidence Interval for a Population Mean - Learn It 4

    12. Bootstrap Distribution and Confidence Interval for a Population Mean - Apply It 1

    13. Bootstrap Distribution and Confidence Interval for a Population Mean - Fresh Take

    14. Bootstrap Confidence Interval - Learn it 1

    15. Bootstrap Confidence Interval - Learn it 2

    16. Bootstrap Confidence Interval - Apply It 1

    17. Bootstrap Confidence Interval - Apply It 2

    18. Bootstrap Confidence Interval - Fresh Take

    19. Simulation-Based Hypothesis Test for a Population Proportion - Learn it 1

    20. Simulation-Based Hypothesis Test for a Population Proportion – Learn it 2

    21. Simulation-Based Hypothesis Test for a Population Proportion – Apply It 1

    22. Simulation-Based Hypothesis Test for a Population Proportion – Apply It 2

    23. Simulation-Based Hypothesis Test for a Population Proportion – Apply It 3

    24. Simulation-Based Hypothesis Test for a Population Proportion – Fresh Take

    25. Simulation-Based Hypothesis Test for a Difference in Proportions - Learn It 1

    26. Simulation-Based Hypothesis Test for a Difference in Proportions - Learn It 2

    27. Simulation-Based Hypothesis Test for a Difference in Proportions - Learn It 3

    28. Simulation-Based Hypothesis Test for a Difference in Proportions - Apply It 1

    29. Simulation-Based Hypothesis Test for a Difference in Proportions - Fresh Take

    30. Bootstrap and Simulation-Based Statistics: Practice

  21. Additional Concepts in Probability
    1. Additional Concepts in Probability: Cheat Sheet

    2. Additional Concepts in Probability: Background You'll Need 1

    3. Additional Concepts in Probability: Background You'll Need 2

    4. Probability with Venn Diagrams: Learn It 1

    5. Probability with Venn Diagrams: Learn It 2

    6. Probability with Venn Diagrams: Learn It 3

    7. Probability with Venn Diagrams: Learn It 4

    8. Probability with Venn Diagrams: Learn It 5

    9. Probability with Venn Diagrams: Apply It 1

    10. Probability with Venn Diagrams: Fresh Take

    11. Probability with Tree Diagrams: Learn It 1

    12. Probability with Tree Diagrams: Learn It 2

    13. Probability with Tree Diagrams: Learn It 3

    14. Probability with Tree Diagrams: Apply It 1

    15. Probability with Tree Diagrams: Fresh Take

    16. Bayes' Theorem: Learn It 1

    17. Bayes' Theorem: Learn It 2

    18. Bayes' Theorem: Apply It 1

    19. Bayes' Theorem: Fresh Take

    20. Additional Concepts in Probability: Practice

  22. Additional Concepts in Probability Distributions
    1. Additional Concepts in Probability Distributions: Cheat Sheet

    2. Supplemental Module - Binomial Distribution: Background You'll Need 1

    3. Supplemental Module - Binomial Distribution: Background You'll Need 2

    4. Supplemental Module - Binomial Distribution: Background You’ll Need 3

    5. Supplemental Module - Binomial Distribution: Background You'll Need 4

    6. Discrete Probability Distributions: Learn It 1

    7. Discrete Probability Distributions: Learn It 2

    8. Discrete Probability Distributions: Apply It 1

    9. Discrete Probability Distributions: Apply It 2

    10. Discrete Probability Distributions: Fresh Take

    11. Binomial Distribution: Learn It 1

    12. Binomial Distribution: Learn It 2

    13. Binomial Distribution: Learn It 3

    14. Binomial Distribution: Learn It 4

    15. Binomial Distribution: Learn It 5

    16. Binomial Distribution: Apply It 1

    17. Binomial Distribution: Apply It 2

    18. Binomial Distribution: Apply It 3

    19. Binomial Distribution: Fresh Take

    20. Connection Between Binomial and Normal Distributions: Learn It 1

    21. Connection Between Binomial and Normal Distributions: Learn It 2

    22. Connection Between Binomial and Normal Distributions: Learn It 3

    23. Connection Between Binomial and Normal Distributions: Learn It 4

    24. Connection Between Binomial and Normal Distributions: Apply It 1

    25. Connection Between Binomial and Normal Distributions: Apply It 2

    26. Connection Between Binomial and Normal Distributions: Apply It 3

    27. Connection Between Binomial and Normal Distributions: Fresh Take

    28. Additional Concepts in Probability Distributions: Practice

Bootstrap and Simulation-Based Statistics: Practice

Animated person holding a large pencil next to a large calculator.These practice problems can help you develop a deeper understanding of the concepts and topics in the Learn It and Apply It sections of this module.

  • Bootstrap Distribution and Confidence Interval for a Population Mean
  • Bootstrap Confidence Interval
  • Simulation-Based Hypothesis Test for a Population Proportion
  • Simulation-Based Hypothesis Test for a Difference in Proportions

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