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HarvardX Data Science Module 4 - Inference and Modeling

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Learn inference and modeling - two of the most widely used statistical tools in data analysis.
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  1. 1

    Parameters and Estimates

    Gratuito

    In this chapter, you will learn about parameters and estimates using the example of election polling.

    Reproduzir Capítulo Agora
    Exercise 1. Polling - expected value of S
    50 xp
    Exercise 2. Polling - standard error of S
    50 xp
    Exercise 3. Polling - expected value of X-bar
    50 xp
    Exercise 4. Polling - standard error of X-bar
    50 xp
    Exercise 5. se versus p
    100 xp
    Exercise 6. Multiple plots of se versus p
    100 xp
    Exercise 7. Expected value of d
    50 xp
    Exercise 8. Standard error of d
    50 xp
    Exercise 9. Standard error of the spread
    100 xp
    Exercise 10. Sample size
    50 xp
    End of Assessment
    50 xp
  2. 2

    Introduction to Inference

    Gratuito

    In this chapter, you will learn about the central limit theorem in practice.

    Reproduzir Capítulo Agora
    Exercise 1. Sample average
    100 xp
    Exercise 2. Distribution of errors - 1
    100 xp
    Exercise 3. Distribution of errors - 2
    50 xp
    Exercise 4. Average size of error
    100 xp
    Exercise 5. Standard deviation of the spread
    100 xp
    Exercise 6. Estimating the standard error
    100 xp
    Exercise 7. Standard error of the estimate
    100 xp
    Exercise 8. Plotting the standard error
    50 xp
    Exercise 9. Distribution of X-hat
    50 xp
    Exercise 10. Distribution of the errors
    50 xp
    Exercise 11. Plotting the errors
    100 xp
    Exercise 12. Estimating the probability of a specific value of X-bar
    100 xp
    Exercise 13. Estimating the probability of a specific error size
    100 xp
    End of Assessment
    50 xp
  3. 3

    Confidence Intervals and p-Values

    Gratuito

    In this chapter, you will learn about confidence intervals and p-values using actual polls from the 2016 US Presidential election.

    Reproduzir Capítulo Agora
    Exercise 1. Confidence interval for p
    100 xp
    Exercise 2. Pollster results for p
    100 xp
    Exercise 3. Comparing to actual results - p
    100 xp
    Exercise 4. Theory of confidence intervals
    50 xp
    Exercise 5. Confidence interval for d
    100 xp
    Exercise 6. Pollster results for d
    100 xp
    Exercise 7. Comparing to actual results - d
    100 xp
    Exercise 8. Comparing to actual results by pollster
    100 xp
    Exercise 9. Comparing to actual results by pollster - multiple polls
    100 xp
    End of Assessment
    50 xp
  4. 4

    Statistical Models

    Gratuito

    In this chapter, you will learn about different types of probability models

    Reproduzir Capítulo Agora
    Exercise 1 - Heights Revisited
    100 xp
    Exercise 2 - Sample the population of heights
    100 xp
    Exercise 3 - Sample and Population Averages
    50 xp
    Exercise 4 - Confidence Interval Calculation
    100 xp
    Exercise 5 - Monte Carlo Simulation for Heights
    100 xp
    Exercise 6 - Visualizing Polling Bias
    100 xp
    Exercise 7 - Defining Pollster Bias
    50 xp
    Exercise 8 - Derive Expected Value
    50 xp
    Exercise 9 - Expected Value and Standard Error of Poll 1
    50 xp
    Exercise 10 - Expected Value and Standard Error of Poll 2
    50 xp
    Exercise 11 - Difference in Expected Values Between Polls
    50 xp
    Exercise 12 - Standard Error of the Difference Between Polls
    50 xp
    Exercise 13 - Compute the Estimates
    100 xp
    Exercise 14 - Probability Distribution of the Spread
    50 xp
    Exercise 15 - Calculate the 95% Confidence Interval of the Spreads
    100 xp
    Exercise 16 - Calculate the P-value
    100 xp
    Exercise 17 - Comparing Within-Poll and Between-Poll Variability
    100 xp
    End of Assessment
    50 xp
  5. 5

    Bayesian Statistics

    Gratuito

    In this chapter, you will learn about Bayesian statistics.

    Reproduzir Capítulo Agora
    Exercise 1 - Statistics in the Courtroom
    50 xp
    Exercise 2 - Recalculating the SIDS Statistics
    100 xp
    Exercise 3 - Bayes' Rule in the Courtroom
    50 xp
    Exercise 4 - Calculate the Probability
    100 xp
    Exercise 5 - Misuse of Statistics in the Courts
    50 xp
    Exercise 6 - Back to Election Polls
    100 xp
    Exercise 7 - The Prior Distribution
    50 xp
    Exercise 8 - Estimate the Posterior Distribution
    100 xp
    Exercise 9 - Standard Error of the Posterior Distribution
    100 xp
    Exercise 10- Constructing a Credible Interval
    100 xp
    Exercise 11 - Odds of Winning Florida
    100 xp
    Exercise 12 - Change the Priors
    100 xp
    End of Assessment
    50 xp
  6. 6

    Election Forecasting

    Gratuito

    In this chapter, you will learn about election forecasting by exploring data from the 2016 US Presidential Election.

    Reproduzir Capítulo Agora
    Exercise 1 - Confidence Intervals of Polling Data
    100 xp
    Exercise 2 - Compare to Actual Results
    100 xp
    Exercise 3 - Stratify by Pollster and Grade
    100 xp
    Exercise 4 - Stratify by State
    100 xp
    Exercise 5- Plotting Prediction Results
    100 xp
    Exercise 6 - Predicting the Winner
    100 xp
    Exercise 7 - Plotting Prediction Results
    100 xp
    Exercise 8 - Plotting the Errors
    100 xp
    Exercise 9- Plot Bias by State
    100 xp
    Exercise 10 - Filter Error Plot
    100 xp
    End of Assessment
    50 xp
  7. 7

    The t-distribution

    Gratuito

    In this chapter, you will learn about the t-distribution.

    Reproduzir Capítulo Agora
    Exercise 1 - Using the t-Distribution
    100 xp
    Exercise 2 - Plotting the t-distribution
    100 xp
    Exercise 3 - Sampling From the Normal Distribution
    100 xp
    Exercise 4 - Sampling from the t-Distribution
    100 xp
    Exercise 5 - Why the t-Distribution?
    50 xp
    End of Assessment
    50 xp
  8. 8

    Association and Chi-Squared Tests

    Gratuito

    In this chapter, you will learn about the association tests and the chi-square test.

    Reproduzir Capítulo Agora
    Exercise 1 - Comparing Proportions of Hits
    100 xp
    Exercise 2 - Chi-squared Test
    100 xp
    Exercise 3 - Odds Ratio Calculation
    100 xp
    Exercise 4 - Significance
    50 xp
    End of Assessment
    50 xp
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