STA643 Assignment 2 Solution and Discussion


  • Cyberian's Gold

    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

  • Cyberian's Gold

    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


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