Prior content: Hypothesis Testing
Previous Section: Probability Generating Functions*
Next Section: Further Statistics 1
This whole chapter is A level only (not needed for AS Further Maths).
Contents
- Whole Topic Notes
- 8A Type I and Type II Errors*
- 8B Finding Type I and Type II Errors Using the Normal Distribution*
- 8C Calculate the Size and Power of a Test*
- 8D The Power Function*
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Full Notes to Accompany Examples
Dr Frost
- Dr Frost Further Statistics 1 Quality of Tests Section
- Dr Frost Further Statistics 1 Quality of Tests Slides
FMSP Whole Chapter Videos
- FMSP Further Statistics 1 (Year 2) playlist (Courtesy of MEI)
8A Type I and Type II Errors*
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
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Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 857a: Distinguish between Type I and Type II errors.
- 857b: Determine the probability of a Type I error for a binomial model with one-tailed critical region.
- 857c: Determine the probability of a Type II error for a binomial model, given the true value of p, with one-tailed critical region.
- 857d: Determine the probability of a Type I error for a Poisson model, with one-tailed critical region.
- 857e: Determine the probability of a Type II error for a Poisson model, given the true value of λ, with one-tailed critical region.
- 857f: Determine the probability of a Type I error for a binomial model with two-tailed critical region.
- 857g: Determine the probability of a Type II error for a binomial model, given the true value of p, with two-tailed critical region.
- 857h: Determine the probability of a Type I error for a Poisson model, with two-tailed critical region.
- 857i: Determine the probability of a Type II error for a Poisson model, given the true value of λ, with two-tailed critical region.
- 857j: Determine the probability of a Type I error for a geometric model.
- 857k: Determine the probability of a Type II error for a geometric model, given the true value of p
- 857: Exam Practice: Type I and II errors, Power and Size of tests
Worksheets
- Mathshelper (Jon Stone)
8B Finding Type I and Type II Errors Using the Normal Distribution*
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
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Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
8C Calculate the Size and Power of a Test*
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
Download Slides
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
8D The Power Function*
Textbook resources
FMSP Video Courtesy of MEI
Dr Frost resources
No Live Lesson Video Yet
Download Slides
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost