4. Introduction
What is a n Experiment�
⢠A planned inquiry
⢠Discover new facts
⢠Deny or conform previous results
What is Experimental Design�
⢠Research conducted with a scientific approach.
⢠Set of variables are kept constant.
⢠While the other set of variables are being measured as the subject of
experiment.
5. Layout of Different Designs
Factor�
Any entity
Maximum level is to be exploited
Treatment�
Levels of a factor
6. (Single Factor)
⢠Only a single factor varies
⢠Treatments are only different levels of the single variable factor
⢠All other factors are applied.
7. Examples
⢠Fertilizer trials (several rates of a single fertilizer element are tested)
⢠Insecticide trials (several insecticides are tested)
⢠Plant-population trials (several plant densities are tested)
8. CRD (Single Factor)
⢠Treatment are assigned completely at random.
⢠Each experimental unit has the same chance of receiving any one
treatment.
9. Step 1
⢠Determine the total number of experimental plots (n)
⢠It is the product of the number of treatments (t) and the number of
replications (r);
⢠n = (r)(t)
⢠For our example, n = (5)(4) = 20
10. Step 2
Assign a plot number to each
experimental plot.
Use any convenient manner;
For our example, the plot
numbers 1,..., 20 are assigned
to the 20 experimental plots as
shown:
1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16
17 18 19 20
11. Step 3
⢠Assign the treatments to the
experimental plots
⢠Also randomize the treatments.
12. RCBD (Single Factor)
⢠One of the most widely used experimental design, in agricultural
research.
⢠Especially suited for field experiments
⢠Experimental area has a predictable productivity gradient.
⢠The primary distinguishing feature of the RCB design is the presence
of blocks of equal size, each of which contains all the treatments.
13. RCBD (Single Factor)
⢠The randomization process for a RCB design is applied separately and
independently to each of the blocks. We use a field experiment with
six treatments A, B, C, D, E, F and four replications to illustrate the
procedure.
14. RCBD (Single Factor)
⢠Divide the
experimental area
into ârâ equal blocks.
⢠Where r is the
number of
replications.
15. RCBD (Single Factor)
⢠The randomization process for a RCB
design is applied separately and
independently to each of the blocks.
⢠We use a field experiment with six
treatments A, B, C, D, E, F.
⢠& four replications to illustrate the
procedure.
16. RCBD (Single Factor)
â Randomization in the CRD is done without any restriction,
â But for the RCBD, all treatments must appear in each block.
17. (Two Factors)
â˘An experiment in which the treatments consist of all
possible combinations of the selected levels in two or
more factors is referred to as a factorial experiment.