Analysis of Variance
In this assignment, we will discuss and describe the application of analysis of variance to a real world problem. Our goal is to examine the difference in subjects’ ages depending on their marital status. There are following six levels of marital status provided:
Never married
Married
Living with significant
Separated
Widowed
Divorced
Null hypothesis: There is no significant difference in mean value of subject’s age between the given groups of marital status.
Alternative hypothesis: There is a significant difference in mean value of subject’s age between the given groups of marital status.
Set level of significance alpha at 1%.
One-way ANOVA has been used to examine the difference (Statistics.laerd.com, 2016). The analysis of variance indicated a significant difference in mean ages of the subjects depending on the marital status (F=68.485, p<0.001). There is enough evidence to reject the null hypothesis and state that there is a significant difference in subject’s age between the given six groups of marital status (at 1% level of significance). Instead of post-hoc test, box-plot has been used to examine the pairwise comparisons. Box-plot indicated that there widowed marital status is commonly associated with significantly higher values of subject’s age. The mean age of the divorced group is also relatively high, compared to the other four groups. The least values of the subject’s age is in Never Married group.
References
Statistics.laerd.com,. (2016). One-way ANOVA in SPSS Statistics - Step-by-step procedure including testing of assumptions.. Retrieved 2 March 2016, from https://statistics.laerd.com/spss-tutorials/one-way-anova-using-spss-statistics.php
