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Working with Inferential Statistics
Discussion
In seeking to determine whether children exposed to movies created prior to the year 1980 caused more injuries than children who were exposed to movies after the year 1980, we formulate our null and alternative hypothesis as below:
H0:µ before 1980=µ after 1980
H1:µ before 1980 ? µ after 180
µ is the mean of injuries
The level of significance ?=0.05
From the result derived from the SPSS software at 95% confidence interval, we reject the null hypothesis and come to the conclusion that there is no significant difference between mean in the injuries for the movies created before 1980(M=0.74 s=1.010) and the injuries reported for the movies created after 1980(M=2.12 s=2.016) t(72), p=0.0015 ?=0.05. In the words of Hinton, Brownlow, and McMurray (2004), “if the Levene’s test is not significant (p>0.05), this indicates the variances are approximately equal” (180). In essence, it is evident from the Levine test that the t test assumption has been since the p value =0.03.
It would also be prudent to highlight the group that has caused more injuries: children exposed to movies created between 1937-1960, children exposed to movies created between 1961-1989, or children exposed to movies created between 1990-1999. From the Anova table, at 95% confidence interval, the p value happens to be < ?. We conclude that there is a significance difference between groups f(2,71) = 1.294, p = 0.281. In an attempt to bring out detailed comparison, the post hoc test would come in handy by way of assisting with the comparison table. It would also be important to point out that the test of homogeneity is conducted using SPSS so as to assist in the verification of the test’s assumption.
It...
injuries, is continuous and the independent variable is categorical, i.e. 1937-1960, 1961-1989 and 1990-1999. The data contained herein clearly demonstrates that no significant outliers exist. This is more so the case given that the total mean is 1.69 – with the rest of the mean lying between 1 and 1.95.
References
Field, A. (2009). Discovering Statistics Using SPSS (3rd ed.). Washington, DC: SAGE Publications.
Hinton, P.R., Brownlow, C. & McMurray, I. (2004). SPSS Explained. New York, NY: Psychology Press
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