Three strains of rats were studied under 2 environmental conditions for their pe

Question

Three strains of rats were studied under 2 environmental conditions for their performance in a maze test. The mean error scores for the 8 rats at each different condition are given in the following table. (Each entry is the average of eight independent measurements.) The group means for columns are shown across the bottom of the table, and the group means for rows are shown down the right side of the table.

(c) Find the Studentized range distribution value (q) for strains (? = 0.05). Then, calculate the minimum significant difference for strain means.

(d) Which strains are significantly different from each other?

Strain Strain A Strain B Strain Environment means AStraintrainEnvi 68.375 Restricted Environment 51.375 90.000 108.250 Strain means40.81267.688 88.312 30.25 45.375 48.000 83.208

Explanation / Answer

From Excel

Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance free env 3 144 48 368.5469 rest env 3 249.625 83.20833 843.2865 A 2 81.625 40.8125 223.1328 B 2 135.375 67.6875 995.6953 C 2 176.625 88.3125 795.0078 ANOVA Source of Variation SS df MS F P-value F crit Rows 1859.44 1 1859.44 24.08666 0.039098 98.50251 Columns 2269.271 2 1134.635 14.69775 0.063703 99 Error 154.3958 2 77.19792 Total 4283.107 5

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