Post Hock Test
in
Split Plot Design
Lecture - 48
LDS Test
1. To compare whole plot means averaged over all subplot treatments
2. To compare subplot means average over all whole
plot treatments
3. To compare subplot treatment means for the
same whole plot treatment
4. To compare whole plot means at the same or
different sub plot treatments
Practice Question
A field experiment was conducted to identify the best
method of ploughing in 4 varieties of ginger. Three different methods of
ploughing were randomly allocated to 3 main plots in each replication
separately and in each main plot 4 varieties are allocated randomly among 4
plots. Yield is recorded from individual data given below. Analyze the data and
drawn conclusion.
a. Which design is applicable to hand the above
experiment?
b. Write the statistical model of the design for above
experiment?
c. Apply LSD if applicable.
Solution:
Solution:
The two factors are required to compare in which one factor (Ploughing) assign to main plot and second factor (varieties of ginger) assign to sub plot. The split plot design is applicable in this situation.
The following statistical model is used:
Remarks:
Both factors i.e. three methods of ploughing and four
varieties are significant.
LDS
Test
1. To compare whole plot means averaged over all
subplot treatments:
2. To compare subplot means average over all whole
plot treatments:
The sub plot means:
3. To compare subplot treatment means for the
same whole plot treatment
The sub plot treatment means under first whole plot (Ploughing –
I):
Arrange in ascending order of magnitude.
Compare the four-sub plot treatment under ploughing – II and ploughing – III in the same manner.
4. To compare whole plot means at the same or
different sub plot treatments:
Where:
The whole plot treatments (Ploughing – 1, Ploughing –
2, Ploughing – 3) under V1 ( Variety of ginger 1).
Arrange in ascending order of magnitude.
· * Significant
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