The Essentials of Biostatistics for Physicians, Nurses, and Clinicians

(Ann) #1
6.14 Exercises 93


  1. How are equivalence tests different from standard hypothesis tests?

  2. What is the difference between equivalence testing and non - inferiority?

  3. What is a pooled standard deviation and when can it be applied?

  4. Describe the 1 : 1 correspondence between hypothesis tests and confi dence
    intervals. How do confi dence intervals give you more information than
    p - values?

  5. D e fi ne the following quantities:
    (a) Hypothesis test
    (b) Null hypothesis
    (c) Alternative hypothesis
    (d) Signifi cance level
    (e) Power of the test
    (f) Power function
    (g) p - value
    (h) Type I error
    (i) Type II error

  6. In a factory, an occupational medicine physician who was conducting a
    medical research study found the mean blood level of the clerical workers
    was 11.2 based on a sample. State the null and alternative hypotheses
    when testing to see if the population of clerical workers has a mean blood
    level of 11.2.

  7. Describe the difference between a one - tailed and a two - tailed test and
    describe situations where one is more appropriate than the other.

  8. D e fi ne specifi city and sensitivity and relate them to the type I and type II
    error rates.

  9. What are meta - analyses? Why might they be needed?

  10. Based on the data in Table 6.1 , do you think it is plausible that the true
    mean difference in temperature between New York and Washington would
    be 3 ° F? Would the power of the test be higher, lower, or the same if the
    true mean difference were 5 ° F? Does the power depend on the true mean
    difference? If so, why?

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