CLG Topic 08 ANS

CLG Topic 08 ANS - Topic 8 Handout: One Way Analysis of...

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Topic 8 Handout: One Way Analysis of Variance - SOLUTIONS Learning Goals for this Activity: (1) Learn the relationships in the ANOVA table and understand the associated F test; (2) Understand how to get estimates for cell means model (using the output from SAS); (3) Understand how to get estimates for the factor effects model (using the output from SAS). 8.1 A study is focused on the effect of three different drugs on a certain type of cancer cell. Forty five patients were divided into equal groups and each group was assigned one of the three drugs. The percentage reduction of a cancerous tumor after one month was taken to be the response variable. A fourth group of 15 who did not wish to try an experimental drug were kept on standard treatments and measured for the purpose of an experimental control. A partially completed ANOVA table for this study is found below. Complete this table and conduct the model F test – stating your results in the context of the problem. Then think about what else needs to be done in analysis. SOURCE DF SS MS F P-value DRUG 3 2400 800 26.67 <0.001 ERROR 56 1680 30 TOTAL 59 4080 The F statistic above tests the null hypothesis that all means are the same. We reject that hypothesis in favor of the alternative – at least two of the means are different. What else needs to be done? We need to figure out where the differences are. In this particular situation, we will likely want to compare each treatment to the control, to see if we can identify treatments that are better than the standard one. We
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This note was uploaded on 03/15/2012 for the course STAT 502 taught by Professor Staff during the Spring '08 term at Purdue.

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CLG Topic 08 ANS - Topic 8 Handout: One Way Analysis of...

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