Analysis of Covariance Term Paper - 1650 Words

Analysis of Covariance (Term Paper Sample) Content: Analysis of Covariance, ANCOVA (GLM 2)YourFirstName YourSecondNameUniversity titleBefore performing ANOVA and ANCOVA tests, I carried out tests for normality of this data.Tests of Normality Drink Kolmogorov-Smirnova Shapiro-Wilk Statistic df Sig. Statistic df Sig. How Well Does The Person Feel? Water .300 5 .161 .833 5 .146 Lucozade .246 5 .200* .956 5 .777 Cola .473 5 .001 .552 5 .000 How Drunk was the Person the Night Before Water .198 5 .200* .957 5 .787 Lucozade .243 5 .200* .894 5 .377 Cola .367 5 .026 .684 5 .006 The Shapiro-Wilk test indicate that all variables come from an approximately normal population since the p-value for all the variables is less than 0.05. Therefore, we can run the ANOVA and ANCOVA tests.The Relationship between Drink and how well they felt without the covariateLevene's Test of Equality of Error Variancesa F df1 df2 Sig. 1.244 2 12 .323 The laveneà ¢Ã¢â€š ¬s test indicate that the variations in the variances are not significantl y different because the significance value is greater than 0.05. Therefore the assumption of Homoscedasticity (Martin, Bridgmon, 2012).ÂTests of Between-Subjects Effects Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 2.133a 2 1.067 .821 .463 Intercept 459.267 1 459.267 353.282 .000 drink 2.133 2 1.067 .821 .463 Error 15.600 12 1.300 Total 477.000 15 Corrected Total 17.733 14 a. R Squared = .120 (Adjusted R Squared = -.026) Univariate Tests Sum of Squares df Mean Square F Sig. Contrast 2.133 2 1.067 .821 .463 Error 15.600 12 1.300 The variation of how well an individual feels accounted for by this model is 2.133 units. The variable Drink accounts for 2.133 units in the variation of the dependent variable while the variation of wellness of an individual that is not explained is 15.6 units.General Linear Modeling/ANCOVA with the CovariateLevene's Test of Equality of Error Variancesa F df1 df2 Sig. .220 2 12 .806 Leveneà ¢Ã¢â€š ¬s test is used to test for equality of error variances of k samples. In this case the significance value for the Leveneà ¢Ã¢â€š ¬s test is 0.806 which is greater than 0.05 implies that the variability of the variances is not significantly different. Thus the assumption of constant variance for the error is obeyed (Kerr, Hall Kozub, 2013).ÂThe ANOVA table with the covariate included, from the significance levels it is evident that the covariate predicts the dependent variable significantly since the significance levels all less than 0.05. Therefore, how well person feel after waking up dehydrated is influenced by drinking Lucozade. The amount of variation of how well a person feels accounted by this model is 13.32 units (correlated model), How drunk the person was the previous night accounts for 11.178 units while, the variable drink accounts for 3.464 units. The unexplained amount of variation of how well persons feel has been reduced to 4.413 units from 15.6)Tests of Between-Subjects Effects