Question 16.21

16.21 The influence of subliminal messages.

Can “subliminal” messages that are below our threshold of awareness nonetheless influence us? Advertisers, among others, want to know. One study asked if subliminal messages help students learn math. A group of students who had failed the mathematics part of the City University of New York Skills Assessment Test agreed to participate in a study to find out. All received a daily subliminal message, flashed on a screen too rapidly to be consciously read. The treatment group of 10 students was exposed to “Each day I am getting better in math.” The control group of eight students was exposed to a neutral message, “People are walking on the street.” All students participated in a summer program designed to raise their math skills, and all took the assessment test again at the end of the program. Here are data on the subjects’ scores before and after the program.9

sublim

Treatment group Control group
Pretest Posttest Pretest Posttest
18 24 18 29
18 25 24 29
21 33 20 24
18 29 18 26
18 33 24 38
20 36 22 27
23 34 15 22
23 36 19 31
21 34
17 27
  1. The study design was a randomized comparative experiment. Outline this design.
  2. Compare the gain in scores in the two groups, using a graph and numerical descriptions. Does it appear that the treatment group’s scores rose more than the scores for the control group?
  3. Apply the Wilcoxon rank sum test to the posttest versus pretest differences. Note that there are some ties. What do you conclude?

16.21

(b) The histograms show that the differences for the Treatment group appear higher than those for the control group. (c) , . The treatment group has systematically higher differences than the control group; the subliminal messages appear to work.