F- Test and ANOVA Analysis
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Measuring Differences Among Three or More Means
Modern software applications require rapid data access capabilities. An experiment was conducted to test the effect of data file size on the ability to access the files (as measured by read time, in milliseconds). Three different levels of data file size were considered: small 50,000 characters; medium 75,000 characters; large 100,000 characters. A sample of eight files of each size was evaluated. Go to the Resources section in this syllabus and open the file access.xls. This file contains access read times in milliseconds.
1. Is there evidence of a significant difference in the variance of the access read times for the three file sizes? Test at the 95% confidence level.
2. At the 5% level of significance, is there evidence of a difference among the mean access read times for the three file sizes?
3. If appropriate, use the Tukey-Kramer multiple comparisons procedure to determine which file sizes significantly differ with respect to mean access read time. Test at the 95% confidence level.
4. Specifically, what conclusions can you reach?
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Solution Summary
The solution provides step-by-step method of performing F-Test for Difference Between Two Variances and ANOVA Hypothesis Test. All the steps of hypothesis testing (formulation of null and alternate hypotheses, selection of significance level, choosing the appropriate test-statistic, decision rule, calculation of test-statistic and conclusion) have been explained in details. A separate Excel sheet showing the ANOVA analysis has also been included for better understanding.
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