Perform an ANOVA on the three-factor design using R or Excel software, being sur

Question

Perform an ANOVA on the three-factor design using R or Excel software, being sure to include a) in the ANOVA table all main effects, two-way and three-way interactions, b) a residual analysis that examines the normality of the residuals and residuals against each main effect.

Temp Density Salinity Weight Gain 25 80 10% 86 52 73 25 80 25% 544 371 482 25 80 40% 390 290 397 25 160 10% 53 73 86 25 160 25% 393 398 208 25 160 40% 249 265 243 35 80 10% 439 436 349 35 80 25% 249 245 330 35 80 40% 247 277 205 35 160 10% 324 305 364 35 160 25% 352 267 316 35 160 40% 188 223 281

Explanation / Answer

(a)

First we enter the data in Excel sheet the goto Data in toolbar -> click data Analysis->select Two-way ANOVA without reolication->selcet the Input range of data->click ok then the output is given by

(b)

a residual analysis that examines the normality of the residuals and residuals against each main effect byusing the Regression Analysis for more than two factors is given by

First we enter the data in Excel sheet the goto Data in toolbar -> click data Analysis->select Regression->selcet the Input Y(Temp) range of data->and select the Input X(remaing columns) range data ->click on Residual and Residual plot ->click on ok then the output is given by

--------------------------------------------------------- x --------------------------------------

Temp Density Salinity Weight Gain 25 80 10% 86 52 73 25 80 25% 544 371 482 25 80 40% 390 290 397 25 160 10% 53 73 86 25 160 25% 393 398 208 25 160 40% 249 265 243 35 80 10% 439 436 349 35 80 25% 249 245 330 35 80 40% 247 277 205 35 160 10% 324 305 364 35 160 25% 352 267 316 35 160 40% 188 223 281

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