Find the honestly significant mean difference (HSD). What does this number mean in plain English?
To study the effects of common drugs on cognitive performance, a researcher randomly assigned college students to one of three conditions. One group of students was served two cans of beer, another group was served two cups of coffee, and the third group (the control group) was served two glasses of orange juice. Then each participant was given a test of logical reasoning and the number of errors was recorded.
Alcohol Caffeine Orange Juice/Control
15 9 6
20 8 4
10 10 10
12 13 11
13 12 6
Ans: 5.13, using an alpha level of .05; this means for a difference between two means to be statistically significant, that difference must be 5.13 or greater.
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