In: Statistics and Probability
Celebrex is a drug manufactured by Pfizer, Inc., used to relieve symptoms associated with osteoarthritis and rheumatoid arthritis in adults. In clinical trials of the medication, some subjects reported dizziness as a side effect. Researchers wanted to discover whether an association existed between the type of treatment and dizziness. The following table of counts is from data collected to answer this question of interest:
Drug
Side effect | Celebrex | Placebo | Naproxen | Diclofenac | total |
Dizziness | 83 | 32 | 36 | 5 | 156 |
No dizziness | 4063 | 1832 | 1330 | 382 | 7607 |
Total | 4146 | 1864 | 1366 | 387 | 7763 |
1. Calculate the expected cell count for Placebo group reporting dizziness if the null hypothesis is true. Show work. Only calculate this one cell’s expected count.
2. Calculate the following cell’s contribution to the chi-square statistic: Placebo reporting dizziness. Show all work. Only calculate this one cell’s contribution to the chi-square statistic. Report answer to four decimal places.
3. The following table lists the contribution to the chi-square statistic for all other cells. Using these values and your answer to #20, calculate the chi-square statistic. Report your answer to one decimal place.
Drug
Side effect | Celebrex | Placebo | Naproxen | Diclofenac |
Dizziness | 0.001 | 2.66 | 0.99 | |
No dizziness | 0.001 | 0.02 | 0.05 | 0.02 |
Χ2 =