Module Four: Statistical Inference

  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