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Marketing research - Statistics Project Example

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Using the independent samples t-test in SPSS, I first sought to establish whether there are significant statistical differences between the performances of domestic and international students regarding item 5 of the survey data. The test is carried out at the 5% level of…
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Download file to see previous pages To evaluate the significance of the test, I formulated the hypotheses:
In order to decide which t-value to adopt, I checked over the results of the Levene’s test for equality of variances (Allingham & Rayner, 2011; Wuensch, 2014). The significance level (p-value = 0.002) of the F-statistic (9.847) is less than the 0.05 level of significance adopted for the entire test. Therefore, taking a default hypothesis that the variances are equal, these results confirm that this hypothesis should be rejected (Lee, 2013). Consequently, the variances are not equal. This advises my option to adopt the t-value -2.762 which has a p-value 0.007. Since 0.007 is less than the default p-value (0.05) adopted for the test, I reject the null hypothesis. There is significant difference between the scores of domestic and international students.
The one-way analysis of variance (ANOVA) was carried out to establish whether there exists significant statistical difference between the students’ responses to item 5 of the survey based on their year of admission. All students in the survey were admitted into courses in the years 2003, 2004, 2005 and 2007. The hypotheses:
The significance level (p< 0.001) of the F-statistic is less than the significance level (p = 0.05) of the test. Therefore, I opt to reject the null hypothesis. There exists significant statistical difference for the performances of students admitted across different years. According to the post-hoc results for multiple comparisons, significant differences exist for students admitted between the following pairs of years: 2003 and 2005, 2003 and 2007, 2004 and 2005, 2004 and 2007, and 2005 and 2007. For all these pairings, the significance levels of the mean differences were less than 0.001. In fact, the only non-significant differences were observed for the pair of years 2003 and 2004.
Correlation analysis was carried out to determine whether any of the units 1 – 19 are related to item ...Download file to see next pagesRead More
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