STA643 Assignment 2 Solution and Discussion

Course Title Experimental Designs
Course Code STA643
Activity Assignment # 2
Submission Deadline Date: Monday, Dec 09, 2019
Time: 23:59 Hours (Midnight)

Instructions to attempt assignment:
• You can use/make a single table for all necessary computations.
• Use calculator for calculations.
• Write the complete formulas and all steps, wherever necessary.
• For writing symbols, use MathType software. If you already did not download it, get it from here.
• Make your own attempt, any copy/past; cheating from other student/website may result in ZERO marks and/or assignment cancelation.

Question1:
An Experiment was conducted compare the yields of three varieties of potatoes. Each variety was assigned at random to equal size plots, four times. The yields were as follows:

Varieties
A B C
23 18 16
26 28 25
20 17 12
17 21 14

Test the hypothesis that the three verities of potatoes are not different in the yielding capabilities.

Question2:
Complete the ANOVA table.

Source of variation Sum of squares Degrees of freedom Mean square F
B/W treatments 4 19.860 6.90
Error
Total 137.040 24

Q. 1

Varieties
A B C
23 18 16
26 28 25
20 17 12
17 21 14

Test the hypothesis that the three verities of potatoes are not different in the yielding capabilities.

Solution Q.1:

eab1da79-9b7d-4209-bc9c-5e3576e8addc-image.png 4961a077-5945-4b8e-b23c-6d582c865b5c-image.png 1310afa9-18b5-4334-b378-db2070054979-image.png a4badf0e-24fa-4a44-91f7-ec8276f9e5aa-image.png

Q.2 Solution:

Complete the ANOVA table.

Source of variation Sum of squares Degrees of freedom Mean square F
B/W treatments 79.44 4 19.860 6.90
Error 57.600 20 2.88
Total 137.040 24