Assignment 5: ANOVA TESTS. Two parts. Psychology Essay

Assignment 5: ANOVA TESTS
Statistical Methods
July 10th, 2018
ASSIGNMENT 5: ANOVA TESTS
The assignment is in two parts. The first part involves performing a one-way ANOVA test to establish the effect of marital status on the level of life satisfaction. A two-way ANOVA test was conducted in the second part to determine the effect of alcohol on mate selection among all participants. The two ANOVA tests were based on two distinct datasets where the One-Way ANOVA test was based on the Divorce.sav dataset, while the two-way ANOVA was based on Goggles, .sav data dataset. The test output results were then used to answer the assignment questions. The one-way and two-way ANOVA tests were performed using SPSS version 21. The test output results were imported
Part I: One-Way ANOVA test
The divorce.sav dataset was analyzed to determine the independent and dependent variables. The One-way ANOVA test variables were determined as follows:
One-way ANOVA Test Variables
Dependent variable:

Life satisfaction

Independent variable:

Marital status

Null Hypothesis
The null hypothesis was determined as follows:
Null Hypothesis, [H0]: There is no difference in the life satisfaction means of all marital status groups (married, separated, divorced, widowed, cohabit).
Alternate Hypothesis
Alternate Hypothesis, [Ha]: Life satisfaction means of all marital status means are not equal.
One-way ANOVA test was performed on the Divorce. sav dataset using a confidence level of 95%. The output table below presents the sample size data for the five marital status groups.
Table 1: One-Way ANOVA test –Life satisfaction vs. Marital status
1781175173990
The above output result suggests that the widowed group only comprised of 3 participants. The small sample size for the group could be linked to an increase in the sampling error probability for the widowed group. As a result, inferential statistical challenges could arise given that the sample is non-representative of the entire population, which could adversely impact on the generalizability of results (Creswell, p. 146). One-way ANOVA test analysis further provided the means and standard deviations for the different marital status groups. The test output results are depicted in Table 2 as shown below.
Table 2: One-Way ANOVA Means and standard deviation results
105727513970
First and foremost, the one-way ANOVA test focused on determining the means and standard deviation for the different marital status levels as depicted in the tabulated output results. The mean was calculated based on a mean range of 4.53-4.94 even though the distinct group was determined to have the lowest life satisfaction score whereas the married group depicted the highest life satisfaction score. Furthermore, a Levene’s test of Equality of Error Variances was performed. The test output results indicated that p=. 068 thereby suggesting that the null hypothesis should not be rejected.
According to Levene’s Equality of Error Test, there are equal variances among all the dependent variable groups, and hence the null hypothesis should not be rejected.
Further analysis of the One-way ANOVA results to determine the F statistic where F=1.22; The out...