Home Layout Tables Charts SmartArt Formula Data Review Format A-: A-| || laberji

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Home Layout Tables Charts SmartArt Formula Data Review Format A-: A-| || laberjir Wrap Text, General %1,11% | conditional | Bad Factorial in CRD with interaction 2 Yield of dry hay in ton/ha Factor A a1 0 mm a2 100 mm b1 3.0 0 kgN/ha4.0 b2 4.5 100 kgN/ha 5.0 b3 7.5 200 kgN/ha 7.0 Ybari.5.167 Ybar11 3.5 40 Ybar21 9.0 4.5 4.000 1 Factor B Ybar12. 4.75 Ybar13 7.25 Ybar22 8.5 85 6625 2 9.5 8.5 7.333 Ybar23 10 8.125 3 12 13 14 15 16 17 18 Treatments result from combining one level of A and one level of B 19 IA is irrigation level (a0, a2-100 mm/month) 20 B is fertilization (b1 0, b2 100 kgN/ha, b3-200 kgN/ha) 6.250 a no. of levels of factor A b = no. of levels of factor B = | 3 2 alpha 0.05 Complete the cells shaded like this text box. You ca calculations any way you want, you do not have to formulas. However, you are strongly encouraged to formulas. The numbers will be graded as correct if within 5% of the correct answer. The correct answe answer returned by using Excel formulas througho any rounding and without using printed probability 21 s F PF Fcalc) Source df 24 Treatments 53.00 14.08 34.88 25 A: Irrigation 26 B: N added 27 AxB interaction 28 Error 29 Total 55.25

Explanation / Answer

Factor A's df = n - 1 = 2-1 = 1

Factor B's df = n - 1 = 3-1 = 2

Interaction's df = factor A's df * factor B's df = 2*1 = 2

Treatments degrees of freedom is factor A's degree + factor B's degree + Interaction = 1+2+2 = 5

MS = SS/df

ANOVA Source of Variation SS df MS F P-value F crit Treatments         53.00 5        10.60 A: Irrigation         14.08 1         14.08    37.5556      0.0009      5.9874 B: N added         34.88 2         17.44    46.5000      0.0002      5.1433 Interaction           4.04 2           2.02      5.3889      0.0457      5.1433 Error (Within)           2.25 6           0.38 Total 55.25 11

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