Consider a scenario where two vaccines have been developed and their effectiveness was tested by comparing the mean outcome for a vaccinated group to the mean for a control (placebo) group. Both of the vaccine studies set the significance (α) level for the test at .05, two-tailed, and both found statistically significant differences (i.e., the p-value was very small and H0 was rejected). The results were as follows: Study Effect size (d) t-statistic Vaccine 1 0.7 4.8 Vaccine 2 0.2 4.8 (a) Based on the above information, can we know whether one study involved a larger sample size than the other? If so, which one? Explain. (b) Based on the above information, can we conclude that one vaccine is preferable to (i.e., more effective than) the other? If so, which one? Explain.
Consider a scenario where two vaccines have been developed and their effectiveness was tested by comparing the
|
Study Effect size (d) t-statistic |
|
Vaccine 1 0.7 4.8 |
|
Vaccine 2 0.2 4.8 |
(a) Based on the above information, can we know whether one study involved a larger
(b) Based on the above information, can we conclude that one vaccine is preferable to (i.e., more effective than) the other? If so, which one? Explain.
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