TWO ANOVAs
1) An experiment was performed to determine the effect of four different chemicals on the strength of a fabric. These chemicals are used as part of the permanent press finishing process. Five fabric samples were selected, and a randomized complete block design was run by testing each chemical type once in random order on each fabric.
The data are shown below.
Test for differences in means using ANOVA with α=0.01.
Fabric Sample 1 2 3 4 5 Chemical Type 1 1.3 1.6 0.5 1.2 1.1 2 2.2 2.4 0.4 2.0 1.8 3 1.8 1.7 0.6 1.5 1.3 4 3.9 4.4 2.0 4.1 3.4
DATA
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Fabric Sample
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Chemical Type
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1
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2
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3
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4
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5
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1
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1.3
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1.6
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0.5
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1.2
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1.1
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2
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2.2
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2.4
|
0.4
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2
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1.8
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|
3
|
1.8
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1.7
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0.6
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1.5
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1.3
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|
4
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3.9
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4.4
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2
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4.1
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3.4
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2) An article in the Journal of Agricultural Engineering Research (Vol. 52, 1992, pp. 53-76) described an experiment to investigate the effect of drying temperature of wheat grain on the baking quality of bread. Three temperature levels were used, and the response variable measured was the volume of the loaf of bread produced.
The data are show below. Test for the differences in means using ANOVA with α=0.01. Temperature (C°) Volume (CC) 70 1245 1235 1285 1245 1235 75 1235 1240 1200 1220 1210 80 1225 1200 1170 1155 1095 USE EXCEL or TI 83/84 to theses questions.
DATA
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TEMPERATURE
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70
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75
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80
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1245
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1235
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1225
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1235
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1240
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1200
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VOLUME
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1285
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1200
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1170
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|
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1245
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1220
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1155
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|
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1235
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1210
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1095
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