STAT408 Assignment 1 Solution and Discussion

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Course Title Experimental Design Analysis
Course Code STAT408
Activity Assignment # 1
Submission Deadline Date: Tuesday, Dec 10, 2019
Time: 23:59 Hours (Midnight)

Question:
a) Write any THREE disadvantages of Randomized Complete Block (RCB) design.

a) In a Randomized Complete Block (RCB) design experiment, there are 4 treatments and 4 blocks and Treatment SS = 16.96, Block SS = 12.19, Total SS = 40.96. Construct the ANOVA table for RCB design.

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Solution Idea File

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@zareen said in STAT408 Assignment 1 Solution and Discussion:

a) In a Randomized Complete Block (RCB) design experiment, there are 4 treatments and 4 blocks and Treatment SS = 16.96, Block SS = 12.19, Total SS = 40.96. Construct the ANOVA table for RCB design.

Ideas Solution:
ANOVA table for the RCBD(one replication per block-treatment combination):

[zareen]

@zareen said in STAT408 Assignment 1 Solution and Discussion:

a) Write any THREE disadvantages of Randomized Complete Block (RCB) design.
Its Detail of RCB, in this question please note only 2nd one answer of Question.

Advantages of randomized complete block designs

1. Complete flexibility. Can have any number of treatments and blocks.
2. Provides more accurate results than the completely randomized design due togrouping.
3. Relatively easy statistical analysis even with missing data.
4. Allows calculation of unbiased error for specific treatments.

Disadvantages of randomized complete block designs

1. Not suitable for large numbers of treatments because blocks become too large.
2. Not suitable when complete block contains considerable variability.
3. Interactions between block and treatment effects increase error.

Appropriate use of randomized complete block designs

1. When there is a known or suspected source of variation in one direction.Orient the blocks to have minimum variation within the block and orient plots to sample the entire range of variation within the block.

The randomized complete block design is one of the most widely used designs. If it will control the variation in a particular experiment, there is no need to use a more complex design.