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Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatment 10 2 12 3 18 420 Blocks 16 19 15 19 Use α .05 to test for any significant differences. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter 0. Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments p-value 43 85.7723.39 0.0000 343.07 Blocks 103.67 Error 36.67 Total 379.73 14 The p-value is between.025 and 05 What is your conclusion? Conclude not all treatment means are equal

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Answer #1

applying two way ANOVA on given data:

Source of Variation SS df MS F P-value
Treatments 20.93 2 10.47 5.32 0.0339
blocks 343.07 4 85.77 43.61 0.0000
Error 15.73 8 1.97
Total 379.73 14

( please revert if any clarification is required)

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