Cement: Effect on Handling and Mechanical Properties. Antibiotic Release. P McAf

Question

Cement: Effect on Handling and Mechanical Properties. Antibiotic Release. P McAfee, et al., Journal of Engineering in Medicine, 2008:355 3651 presents: antibiotic added on various properties of the cement. Following are measuremen for six levels of antibiotic amount, and three replications per level The measuren slandard deviations presented in the article. Antibiotic per 40 g Cement Setting Time (min) 12.7 141 13.2 13.5 14.5 14.6 0.5 g 12.7 134 13.2 12.7 13.6 14.1 13.4 13.5 14.3 145 135 14.9 a. Construct an ANOVA table. You may give a range for the P-value. b. Can you conclude that there are differences among the mean setting times?

Explanation / Answer

Answer:

ANOVA: Single Factor

SUMMARY

Groups

Count

Sum

Average

Variance

0g

3

40

13.3333

0.5033

0.5g

3

42.6

14.2000

0.3700

1g

3

39.3

13.1000

0.1300

2g

3

40.4

13.4667

0.5033

3g

3

41.2

13.7333

0.2433

4g

3

42.9

14.3000

0.5200

a).

ANOVA

Source of Variation

SS

df

MS

F

P-value

Between Groups

3.4778

5

0.6956

1.8385

P>0.05

Within Groups

4.5400

12

0.3783

Total

8.0178

17

b).

calculated F=1.8385 which is > critical F=3.11 at 0.05 level of significance.

Ho is not rejected.

We conclude that there are no difference among the mean setting times.

ANOVA: Single Factor

SUMMARY

Groups

Count

Sum

Average

Variance

0g

3

40

13.3333

0.5033

0.5g

3

42.6

14.2000

0.3700

1g

3

39.3

13.1000

0.1300

2g

3

40.4

13.4667

0.5033

3g

3

41.2

13.7333

0.2433

4g

3

42.9

14.3000

0.5200

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