Regression/ANOVA (probability and statistics) - Essay Example

Download file to see previous pages Six pairs of scores (home and away) were recorded for each country
A test for difference between means (ANOVA) of home and away scores for all countries gives a p-value 0.543. Comparing this value with that of alpha (α =0.05), it is observed that the calculated p-value is greater than α. This indicates that the test is not significant. The test also gave an F- calculated value of 0.922. Comparing this value with the F-crit value of 1.793, we observe that the former is lesser than the latter, i.e. F-calculated is greater than F-crit. Based on the calculated values of α and F, we concluded that the difference between the scores is statistically significant (Spiegel, 1992, 45). The F value is 0.922 and the p-value is 0.543, therefore there is not enough evidence to reject H0 at 95% level of significance.
Tests on the correlation between different measures are not significant too. Testing for the correlation between the score of different countries, a p-value of 0.35 and F-tabulated value 1.132 are obtained. Based on these values, there is enough evidence to reject, H0 at 95% level of significance and conclude that there is no correlation between the scores of different countries. As expected, different countries train differently and this accounts for the lack of correlation.
A second test on the correlation between the scores of the countries when playing home and away yields similar results. From this test, a p-value of 0.437 and F-tabulated value 0.611 are obtained. Based on these values, there is enough evidence to reject H0 at 95% level of significance and conclude that there is no correlation between the scores of the countries when playing home and away. Although there is supposed to be a correlation between home and away scores, it must be realized that home advantage every team every differently.
A third test on the correlation between the interaction of the sum of score of different countries yields similar results. From ...Download file to see next pagesRead More