Tuesday, December 8, 2020

Biostatistic (Anova)

Explanation from: https://www.youtube.com/watch?v=U4YlQauDY_c

Explanation from: https://www.youtube.com/watch?v=yFpw1pVZP00

Case Study 1 (20 marks)






A new fertilizer has been developed to increase the yield on crops, and the makers of the fertilizer want to better
 understand which of the three formulations (blends) of this fertilizer are most effective for wheat, corn, soybeans 
and rice (crops). They test each of the three blends on one sample of each of the four types of crops. The crop yields 
for the 12 combinations are as shown in Table 1.














Wheat  Corn  Soy Rice



Blend X 123 138 110 151



Blend Y 145 165 140 167



Blend Z 156 176 185 175












 


Case Study 2 (20 marks)





A manufacturer wishes to determine the effectiveness of four types of machines (A, B, C, and D) in the production
 of bolts. To accomplish this, the numbers of defective bolts produced by each machine in the days of a given week 
are obtained for each of two shifts; the results are shown in the table below. Perform an analysis of variance to
 determine at the 0.05 significance level whether this is a difference (a) between the machines and (b) between the shifts.




































































































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