Question

Question 6 5 pts A computer ANOVA output is shown below. One-way ANOVA table Source SS MS Factor 36.15 Error Total 19 196.04 Assuming you have four factor levels (treatments), calculate the the values for the following: 1. a (0.5 points) 2. b (0.5 points) 3.c (0.5 points) 4. d (0.5 points) 5. e (0.5 points) 6. f (0.5 points) 7.8 (0.5 points) Complete the following as well: • What is the value for the F-critical? Is F-calculated bigger than F-critical? (0.5 points) • Use alpha value of 0.05, is the factor significant? Explain using the P-value or the F-critical. (1 point)

Answer 1

1. a=4-1=3 2. b = 20-4=16 3. c =196.04-36.15 = 159.89 4. d = 36.15 –12.05 5. e=159.89 – 9,99 16 6. f =--.02=121 12.05 9.99 7. The p-value is calculated in Excel as follows: fo =F.DIST.RT(1.21,3,16) IDE F 0.3381 g=0.3381 The F-critical is calculated in Excel as shown below: fx =F.INV.RT(0.05,3,16) DE F 3.2389 F-critical = 3.2389

F calculated is not bigger than F-critical.

Since the F-critical is not bigger than F-critical hence the factor is significant.

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