Tutorial 3_Questions & Solutions

Tutorial 3_Questions & Solutions - Tutorial 3...

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Tutorial 3 Exercises for Lecture 3 ANALYSIS OF VARIANCE At the end of this tutorial you should be able to state the assumptions behind ANOVA conduct an F -test for the difference between more than two means using one-way ANOVA conduct an F -test for the difference between more than two means using two-way ANOVA without replication (random block design) use the Tukey-Kramer procedure to determine which of c means are significantly different book Reading : Black et al , Sections 11.1 – 11.4. Q1. In a one-factor ANOVA, there are 3 independent samples, with n 1 = 8, n 2 = 10 and n 3 =7. Set up the appropriate hypothesis test. The calculated F -statistic is F = 3.95. At the 0.05 level of significance, what conclusion can be reached? Q2. A one-way ANOVA has been conducted for an experiment in which there are 3 treatments and each treatment group consists of 10 persons. The results include the sum of squares terms SSC = 252.1 and SSE = 761.1. Based on this information, use a 0.025 level of significance to test whether there is a significant difference between the means in the treatment groups.
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