A major goal of inferential statistics is to estimate the value of a parameter from the information in a sample. However, the parameter estimate is imperfect due to sampling variability. Thus, the best we can do from the information in one sample is provide a range in which the parameter is likely to be. This range is called a confidence region and is the subject of this module.
After completing this module, you should be able to ...
- Describe the concept underlying confidence regions.
- Construct confidence regions for parameters.
- Use the confidence interval formula to estimate desired sample sizes.
Preparation for Class
Use the materials below to answer the questions on this preparation guide.
- Video: Introduction to Confidence Intervals [7 mins]
- Video: Interpreting Confidence Intervals [6 mins]
- Video: Constructing a Confidence Interval [10 mins] [Skip from 7:49 to 8:28.]
- Video: Confidence Interval Overview [6 mins]
- Constructing Confidence Regions
- Video: Compute Sample Size [2 mins]
- Review Exercises: Definitions / Calculations / Sample Size Calculations
- Class Exercises: 1 / 2 / 3 / 4.
- Homework Assignment