Assignment: ANOVA
Q1. It is fairly common for a health research question to involve a comparison of several groups on a particular measure. To examine the differences among the groups through an analysis that considers the variation across all groups at once, we can use the
A) t test.
B) Mann-Whitney U-test.
C) one-way ANOVA.
D) Kruskal-Wallis H-test.
Q2. The one-way ANOVA is a little different from other tests because it uses the ratio of different types to test a hypothesis. The _______ variance should be roughly equal for the groups because the ANOVA assumes homogeneity of variance.
A) within-group
B) between-group
C) cohort-group
D) control-group
Q3. When a null hypothesis is false after using the one-way ANOVA, it indicates there is some overlap, but the researcher still does not know exactly which variable is overlapping and by how much. This can lead to a type I error. To avoid this, _______ will decrease the likelihood of an error.
A) a Kruskal-Wallis H-test
B) a chi-square test
C) a post hoc test
D) the f test
Q4. A nonparametric test that is used to determine whether a relationship exists between two variables when one is nominal and the other variable is ordinal, interval, or ratio is the
A) one-way ANOVA test.
B) Kruskal-Wallis H-test.
C) MANOVA test.
D) Mann-Whitney U-test.
Q5. Testing for a(n) ________ with ANOVA allows us to determine whether the results of a treatment vary depending on the groups or conditions in which it is applied.
A) interaction
B) variance
C) independent variable
D) dependent variable
Q6. The ______ analysis allows researchers to look for relationships among multiple dependent and independent variables simultaneously.
A) one-way ANOVA
B) MANOVA
C) N-Way ANOVA
D) Kruskal-Wallis H-test
Q7. Open the divorce.sav data file and run the one-way ANOVA to answer the following questions:
What are the effects of marital status on life satisfaction?
a. State the independent and dependent variables.
b. State the null and alternate hypotheses.
c. Run the appropriate analysis using SPSS (Hint: Use the General Linear Models and Univariate Procedure. Select Estimates of Effect Size under the Options tab).
d. What are the mean and standard deviation for each of the levels of the IV?
e. Report the appropriate F statistic, degrees of freedom, p value, and eta squared (η2).
f. What is your decision regarding the null hypothesis (i.e., did you reject or fail to reject the null)? Explain your decision.
g. Write up a sample results section.
Q8. Use the goggles.sav data to run a two-way ANOVA. Consider the following example and then answer the subsequent questions:
Derived from Field (2005), an anthropologist was interested in the effects of alcohol on mate selection at night-clubs. Her rationale was that after alcohol had been consumed, subjective perception of physical attractiveness would become more inaccurate. She was also interested in whether this effect was different for men and women. She picked 48 students: 24 male and 24 female. She then took groups of eight participants to a night-club and gave them either a non-alcoholic lager, 2 pints of strong lager, or 4 pints of strong lager. At the evening she took a photograph of the person that the participant was chatting up. She then got a pool of independent judges to assess the attractiveness of the person in each photograph (out of 100).
a. State the independent variables and the dependent variable.
b. State the null and alternate hypotheses.
c. Run the appropriate analysis and include the Levene's (Homogeneity of Variance) test and the test of Between-Subjects Effects (Cut and Paste Levene's Test Output Below - Explain the meaning of this test).
Tests of Between-Subjects Effects (Include Data from Output in the Figure Provided Below)
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Source
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Df
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Mean Square
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F
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Sig.
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Gender
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Alcohol
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Gender*alcohol
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d. Report the mean and standard deviation for each level of the IV (Cut and Paste Output).
e. What is your decision concerning the null hypothesis (i.e., did you reject or fail to reject the null)? Explain your response.
f. Post the Estimated Marginal Means of Attractiveness of Data .
g. Write up a sample results section.
Attachment:- Assignment.rar