1) (Five parts; 25 marks in total) An agronomist studied the effects of moisture

Question

1) (Five parts; 25 marks in total) An agronomist studied the effects of moisture (in inches) and temperature (in °C) on the yield of a new hybrid tomato. She chose five levels for moisture (6, 8, 10, 12, and 14) and five levels for temperature (20, 21, 22, 23, and 24), conducting an experiment with two replications for each combination of moisture and temperature. Based on the following partial computer output from two-factor ANOVA, answer parts (a) - (c) below Descriptive Statistics Variable Yield Moisture Temperature Sample MeanSample S.D 47.097 10.000 22.000 7.07121 2.85714 1.42857 Tests of Between-Subjects Effects Dependent Variable: Yield Type Ill Sum df Mean Square of Squares Source Sig Corrected Model Moisture Temperature Moisture Temp Error Corrected Total 360.465 35.219 39.467 19.240 454.391 .004

Explanation / Answer

I think you want complete ANOVA ,( if there is any difficulty please respond back at earliest)

there are 5 level of moisture so its df=5-1=4 same for temp=5-1=4

df of interaction of moisure will be =(5-1)*(5-1)=16

total df=5*5*2 - 1=49

MS=SS/df and F=MS/MS(error)

Type III source SS df MeanSquare(MS) F sig corrected model moisture 360.465 4 90.116 117.095 0.000 temperature 35.219 4 8.805 11.441 0.000 Moisture*Temp 39.467 16 2.467 3.205 0.004 Error 19.24 25 0.770 Totoal 454.391 49

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