Assignment 9
In this assignment, an ANOVA was performed on variables Armed Forces Rate and Regime Type while testing for potential moderator variable, Income Level. Performing the ANOVA alone with explanatory variable Regime Type and response variable, Armed Forces Rate, there are significant differences in the means of the Armed Forces Rate per Regime Type. In particular, Regime Type 1 or autocracy has an mean Armed Forces Rate of 3.1074. Regime Types 2, 3, 4, and 5 all have Armed Forces Rate means significantly different from Regime Type 1 ranging from 1.04 to 1.4.
When testing for potential moderator Income Level where Income Level is a categorical variable describing the relative average gross national income per capita of a country. An Income Level of 1 would indicate a country in the lower income level where GNI per capita is less than $1,025 annually. And the upper income level of 4 indicates a GNI per capita of $12,475 annually. The results of this analysis were that Income Level did not moderate the association between Armed Forces Rate and Regime Type much. In cases where the results were statistically significant, the results reflected the original association that Armed Forces Rate and Regime Type had. In other words, autocracies had a significantly higher Armed Forces Rate regardless of Income Level.
There was one Income Level for which the relationship differed from the original relationship. For upper middle income nations, the open democracies and autocracies had significantly different Armed Forces Rate means, 0.6508 and 2.978 respectively.
Because the association between Regime Type and Armed Forces Rate and Regime Type and Income Level are similar, that is for Regime Types 2, 3, and 4 the means for Armed Forces Rate and Income Level are not statistically significantly different. If Income Level moderates the relationship between Armed Forces Rate and Regime Type it is observed only in one Regime Level Type.
