Split Plot Design Numerical Examples Lecture - 49

 Split Plot Design 

Numerical Examples

Lecture - 49

Example: 

In a Split Plot Design discuss the degree of precision and relatively of the main effect for comparing 6 level of nitrogen (Apply 16 sub plots) with four rice variety and 3 replications in a factorial experiment. Compute the following ANOVA table and interpret the result.

Solution:

The given condition:

(r - 1) (a - 1) = 4

2 (r - 1) = 4

r - 1 = 2

Considering only 3 rice and 3 nitrogen levels.

abr - 1 = 35

3 x 3 x b = 36

b = 4

a = 3, b = 3, r = 3

The complete ANOVA for Split Plot Design is given below:

Example

 Complete the following ANOVA of Split Plot Design and test the significance of both factors.

Solution:

r - 1 = 2

r = 3

a - 1 = 3

a = 4

b - 1 = 2

b = 3 

(a - 1)(b - 1 ) = 6

a (r - 1)(b - 1) = 4 x 2 x 2

a (r - 1)(b - 1) =16

rab - 1 = 3 x 4 x 3 - 1

rab = 35  

ANOVA Table:

Remarks:

The main plot factor (factor A) is significant. The LSD Test is applicable on factor A.

Advantages of Split Plot Design

        i.            The SPD provide efficient use of some factors that required different sizes of plot for their application.

      ii.            The SPD permit to introduce a new treatment in to an experiment that is already in progress.

    iii.            The SPD permit efficient application of treatment that required small plots.

    iv.            The SPD is applicable when one treatment needs more replications than other treatment.

      v.            The effect of one factor can be studied with the different levels of other factor.

Disadvantages of Split Plot Design

        i.            In SPD main plot treatments are measured with less precision than in comparable RCBD.

      ii.            In SPD the analysis of data is relatively complicated.

    iii.            SPD needs large block which introduce lack of homogeneity.   

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