Consider the following situation. A completely randomized design was used to assess the effects of a treatment (say A) on the yield (say Y) of a particular process. Treatment A had three levels (say A1, A2, and A3) and the design was unbalanced in that the sample sizes for each treatment level were n₁ = 4, n2 = 5, n3 = 6 respectively. The data was analyzed using R and produced the following statistics: SSbetween = 2032.20, MSwithin = 74.76, Y₁ = 94.5, Y2 = 105.2, Y3 = 122.7. a. Fill in the blanks for the incomplete ANOVA table. What is the corresponding F-statistic and p-value for testing the alternative hypothesis that the means of the three treatments are not all equal? Mean square (MS) F-statistic p-value Between Within Total Sum-of-squares (SS) Degrees of freedom 2032.20 74.76

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Consider the following situation. A completely randomized design was used to assess the effects of a treatment
(say A) on the yield (say Y) of a particular process. Treatment A had three levels (say A1, A2, and A3) and the
design was unbalanced in that the sample sizes for each treatment level were n₁ = 4, n2 = 5, n3 =6 respectively.
The data was analyzed using R and produced the following statistics: SSbetween 2032.20, M Swithin =
74.76, Y₁ = 94.5, Y₂ = 105.2, Y3 = 122.7.
Fill in the blanks for the incomplete ANOVA table. What is the corresponding F-statistic and
p-value for testing the alternative hypothesis that the means of the three treatments are not all equal?
Mean square (MS) F-statistic p-value
a..
Between
Within
Total
Sum-of-squares (SS) Degrees of freedom
2032.20
74.76
Transcribed Image Text:Consider the following situation. A completely randomized design was used to assess the effects of a treatment (say A) on the yield (say Y) of a particular process. Treatment A had three levels (say A1, A2, and A3) and the design was unbalanced in that the sample sizes for each treatment level were n₁ = 4, n2 = 5, n3 =6 respectively. The data was analyzed using R and produced the following statistics: SSbetween 2032.20, M Swithin = 74.76, Y₁ = 94.5, Y₂ = 105.2, Y3 = 122.7. Fill in the blanks for the incomplete ANOVA table. What is the corresponding F-statistic and p-value for testing the alternative hypothesis that the means of the three treatments are not all equal? Mean square (MS) F-statistic p-value a.. Between Within Total Sum-of-squares (SS) Degrees of freedom 2032.20 74.76
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