In: Statistics and Probability
Experimenter bias refers to the phenomenon that data tends to
comes out in the desired direction even for the most conscientious
experimenters. A social psychologist hypothesizes the opposite
phenomenon. In a study, the psychologist tells a sample of students
that they will be experimenters in study that investigates the
impact of caffeine on cognition. The experimenters are told that
all subjects will be given caffeine an hour before solving
arithmetic problems. However, half of the experimenters are told
that caffeine will lead to better performance and the other half
are told nothing. The experimenters are then asked to grade the
arithmetic problems. What can the psychologist conclude with an α
of 0.05? Below are the grades that they gave.
told nothing |
leads to better performance |
---|---|
18 15 21 12 17 14 21 24 |
12 14 18 8 14 17 20 10 |
a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test
Related-Samples t-test
b)
Condition 1:
---Select--- told nothing grades told caffeine leads to better
performance the phenomenon experimenter bias
Condition 2:
---Select--- told nothing grades told caffeine leads to better
performance the phenomenon experimenter bias
c) Compute the appropriate test statistic(s) to
make a decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses
to help solve the problem.)
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
d) If appropriate, compute the CI. If not
appropriate, input "na" for both spaces below.
[ , ]
e) Compute the corresponding effect size(s) and
indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d = ; ---Select--- na trivial effect
small effect medium effect large effect
r2 = ; ---Select--- na
trivial effect small effect medium effect large effect
f) Make an interpretation based on the
results.
Experimenters that were told nothing gave significantly higher grades than experimenters that expected a good performance.Experimenters that expected a good performance gave significantly higher grades than experimenters that were told nothing. There was no significant grade difference between experimenters that expected a good performance and those that were told nothing.