Module Four: Statistical Inference


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  Estimation (point estimators and confidence intervals):

  • Estimating population parameters and margins of error
  • Properties of point estimators, including unbiasedness and variability
  • Logic of confidence intervals, meaning of confidence level and confidence intervals, and properties of confidence intervals
  • Large sample confidence interval for a proportion
  • Large sample confidence interval for a difference between two proportions
  • Confidence interval for a mean
  • Confidence interval for a difference between two means (unpaired and paired)
  • Confidence interval for the slope of a least-squares regression line

  Tests of significance:

  • Logic of significance testing, null and alternative hypotheses; p-values; one and two-sided tests; concepts of Type I and Type II errors; concept of power
  • Large sample test for a proportion
  • Large sample test for a difference between two proportions
  • Test for a mean
  • Test for a difference between two means (unpaired and paired)
  • Chi-square test for goodness of fit, homogeneity of proportions, and independence (one and two-way tables)
  • Test for the slope of a least-squares regression line

  Estimation (point estimators and confidence intervals):

  • Estimating population parameters and margins of error
  • Properties of point estimators, including unbiasedness and variability
  • Logic of confidence intervals, meaning of confidence level and confidence intervals, and properties of confidence intervals
  • Large sample confidence interval for a proportion
  • Large sample confidence interval for a difference between two proportions
  • Confidence interval for a mean
  • Confidence interval for a difference between two means (unpaired and paired)
  • Confidence interval for the slope of a least-squares regression line

  Tests of significance:

  • Logic of significance testing, null and alternative hypotheses; p-values; one and two-sided tests; concepts of Type I and Type II errors; concept of power
  • Large sample test for a proportion
  • Large sample test for a difference between two proportions
  • Test for a mean
  • Test for a difference between two means (unpaired and paired)
  • Chi-square test for goodness of fit, homogeneity of proportions, and independence (one and two-way tables)
  • Test for the slope of a least-squares regression line

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