Suppose a cognitive psychologist conducts a study on the effects of long-term substance use on short-term memory. The researcher recruits a total of 30 participants, where 10 participants are identified as marijuana users, 10 participants are alcohol users, and 10 participants identify as using no substances. Participants in each group were given a list of 20 nouns to memorize for 15 minutes. Participants were then given a 15- minute break and then asked to write down/recall as many of the nouns from the list. The data below represent the number of words correctly recalled.
Marijuana Users: 12, 14, 7, 11, 9, 7, 10, 12, 6, 9
Alcohol Users: 8, 13, 10, 9, 16, 14, 15, 7, 10, 8
No Substance Users: 12, 15, 16, 11, 9, 13, 15, 12, 17, 14
Answer the following questions using the data from the table above.
a. What is the independent variable and levels for the study conducted?
b. What is the dependent variable and scale of measurement (i.e., NOIR)?
c. What is the null hypothesis for the study conducted?
d. Conduct a test of the null hypothesis using a single-factor ANOVA (p = .05). Be sure to properly write your statistical conclusion – “Since F ( , ) = ___, p <> .05….”
e. Provide an interpretation of your statistical conclusion from part D. Include the variables from the description above.
f. Assume the researcher had planned two comparisons before analyzing the data. Use the Bonferroni Procedure to maintain the p – value at .05. Carry out a comparison between the Marijuana group and the No Substance Use group. Use the F – critical value 5.625 to compare your adjusted F-value. Be sure to properly state your statistical conclusion for this comparison.
g. Provide an interpretation of your statistical conclusion from part F. Include the variables from the description above.
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