You are studying the effect of four different chemicals on the strength of a fab

Question

You are studying the effect of four different chemicals on the strength of a fabric. You have collected the following data to help with your analysis Fabric Chemical Type 1 4 5 1.3 1.2 2.2 1.8 3.9 2 1.6 2.4 1.7 4.4 0.5 0.4 0.6 2.0 1.1 1.8 1.3 3.4 1.5 4.1 (a) What type of ANOVA analysis would you recommend: a. One way b. Two Way c. Not an ANOVA problem (b) What are your independent variables a. Chemical type alone b. Fabric alone c. Both chemical type and fabric (C) Compute the appropriate ANOVA Table and answer the following: a. Does the chemical process have an effect on the mean fabric strength i. Yes it does ii. No, it does not b. Does the fabric sample have an effect on the mean fabric strength i. Yes it does ii. No, it does not

Explanation / Answer

a)
two way
b)
both chemical type and fabric

c)

a) i) yes , it does (p-value < 0.05)
b) i) yes , it does (p-value < 0.05)

Please rate

Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance 1 5 5.7 1.14 0.163 2 5 8.8 1.76 0.628 3 5 6.9 1.38 0.227 4 5 17.8 3.56 0.893 1 4 9.2 2.3 1.273333333 2 4 10.1 2.525 1.689166667 3 4 3.5 0.875 0.569166667 4 4 8.8 2.2 1.713333333 5 4 7.6 1.9 1.086666667 ANOVA Source of Variation SS df MS F P-value F crit Rows 18.044 3 6.014666667 75.89484753 4.51831E-08 3.490294819 Columns 6.693 4 1.67325 21.11356467 2.31891E-05 3.259166727 Error 0.951 12 0.07925 Total 25.688 19

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