In: Statistics and Probability
1. Articulate the assumptions of the statistical test. 2. Paste SPSS output that tests those assumptions and interpret them. Properly integrate SPSS output where appropriate. Do not string all output together at the beginning of the section. 3. Summarize whether or not the assumptions are met. If assumptions are not met, discuss how to ameliorate violations of the assumptions
The assumption of equal variances across different sections has been met but the score is highly skewed to the left. Non –normal distribution have little effect in making decision for one way ANOVA as the effect on Type 1 error rate is less. Also our sample is also large therefore the one way ANOVA can be carried out.
1.Articulate a research question relevant to the statistical test.
Is the score is same across different section at 0.05 level of significance?
2.Articulate the null hypothesis and alternative hypothesis.
Ho:µ1=µ2=µ3Ha: At least one of the mean (µ1 or µ2 or µ3) is different than the other.Where,µ1,µ2,µ3 are the mean score across different sections.
3.Specify the alpha level.
The significance level is 0.05.
Effect size calculation,eta2 = SSbetween/SStotal = 21.87626.946 = 0.8118
The p-value is 0.016.
Since the p-value (0.016) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we can conclude that the the score is not the same across different section.