Sunday, November 2, 2025

From Fundamentals to Solved Examples


The weblog accommodates fundamentals of strip plot design, randomization, ANOVA mannequin, all of the formulation and solved instance together with demonstration in Agri Analyze. (Studying time 15 min.)

The Strip Plot Design (SPD) is
significantly appropriate for two-factor experiments the place increased precision is
wanted for measuring the interplay impact between the components in comparison with
measuring the principle results of both issue individually. This design can also be
splendid when each units of remedies require massive plots. For example, in
experiments involving spacing and ploughing remedies, cultural comfort
necessitates bigger plots. Ploughing strips will be organized in a single path,
and spacing strips will be laid out perpendicular to the ploughing strips. This
association is achieved utilizing:

  • Vertical strip plot for the primary issue (the vertical
    issue)
  • Horizontal strip plot for the second issue (the
    horizontal issue)
  • Interplay plot for the interplay between the 2
    components.

The vertical and horizontal strip plots are
at all times perpendicular to one another. Nevertheless, their sizes are unrelated, in contrast to
the principle plot and subplot within the break up plot design. The interplay plot is the
smallest. In a strip plot design, the precision of the principle results of each
components is sacrificed to enhance the precision of the interplay impact.

Randomization and Structure Planning for Strip Plot
Design

Step
1:
Assign horizontal plots by dividing the
experimental space into r blocks, then dividing every block into horizontal
strips. Comply with the randomization process utilized in RBD, and randomly assign the
ranges of the primary issue to the horizontal strips inside every of the r
blocks, individually and independently.

Step
2:
Assign vertical plots by dividing every
block into b vertical strips. Comply with the randomization process utilized in RBD
with b remedies and r replications, and randomly assign the b ranges to the
vertical strips inside every block, individually and independently.

Structure Instance:

A pattern structure of strip-plot design with six varieties (V1, V2, V3, V4, V5 and V6) as a horizontal issue and three nitrogen charges (N1, N2 and N3) as a vertical think about three replications.

Instance
of Strip Plot Design

Within the earlier chapter, this dataset
was used for a split-plot design and now the identical dataset might be used to
illustrate a strip plot design.

A strip plot
design was used to research the results of irrigation ranges (Horizontal
issue) and fertilizer sorts (Vertical issue) on the yield of a specific
crop. The experiment was carried out over 4 replicates (R1, R2, R3, R4).

Elements:

Horizontal Issue (A – Irrigation
Ranges):

A1: Low Irrigation

A2: Medium Irrigation

A3: Excessive Irrigation

Vertical Issue (B – Fertilizer
Sorts):

B1: Natural Fertilizer

B2: Inorganic Fertilizer

B3: Combined Fertilizer

Remedies

R1

R2

R3

R4

A1B1

386

396

298

387

A1B2

496

549

469

513

A1B3

476

492

436

476

A2B1

376

406

280

347

A2B2

480

540

436

500

A2B3

455

512

398

468

A3B1

355

388

201

337

A3B2

446

533

413

482

A3B3

433

482

334

435

Closing ANOVA Desk for Crop Yield
Evaluation Utilizing Strip Plot Design with Irrigation and Fertilizer Remedies:

 

TABLE F

SV

DF

SS

MS

CAL F

5%

1%

Replication

3

61636.97

20545.66

28.12

3.49

10.80

Horizontal plot (A)

2

12391.17

6195.58

8.48

5.14

10.92

Error (A)

6

4382.61

730.44

 

 

 

Vertical Plot (B)

2

128866.67

64433.33

81.35

5.14

10.92

Error (B)

6

4752.44

792.07

 

 

 

A X B

4

304.17

76.04

0.62

3.26

5.41

Error (C)

12

1462.72

121.89

 

 

 

Whole

35

213796.75

 

 

 

 

Calculation of levels of freedom:

Replication DF: r-1 = 4-1=3

Fundamental plot (A): a-1=3-1=2

Error (A): (r-1)*(a-1)=3*2=6

Fundamental plot (B): b-1=3-1=2

Error (B): (r-1)*(b-1)=3*2=6

A x B: (a-1)*(b-1)=2*2=4

Error (C): (r-1)*(a-1)*(b-1)=3*2*2=12

Whole: rab-1=4*3*3-1=35

Calculation of MS:

            Replication:
61636.97/3=20545.66

            Fundamental
plot (A):
12391.17/2=6195.58

            Error
(A):
4382.61/6=730.44

            Fundamental
plot (B):
128866.67/2=64433.33

            Error
(B):
4752.44/6=792.07.

            A
x B:
304.17/4=76.04

            Error
(C):
1462.72/12=121.89

Conclusion:

·      
The calculated F-value (28.12) is far better than the essential
F-values at each 5% (3.49) and 1% (10.80) significance ranges.
Due to this fact,
there may be sturdy proof to recommend that there are vital variations
between the replicates.

·      
The calculated F-value (8.48) for horizontal issue exceeds the
essential F-value 5% (5.14) significance ranges.
This means that there are vital
variations among the many irrigation degree.

·      
The calculated F-value (81.35) for vertical issue exceeds the essential
F-value at 1% (10.92) significance degree. This means that there’s extremely
vital variation amongst degree of fertilizer.

·      
The calculated F-value (0.62) for interplay between fundamental issue and
sub issue (A x B) which is lower than essential F-value at 5% (2.93)
significance degree. This point out that there’s non-significant interplay
between irrigation and fertilizer.

·      
For the irrigation, highest yield was noticed for A1 and A2 have been discovered
statistically at par with it based mostly on essential distinction.

·      
For the fertilizer, highest yield was noticed for B2 and not one of the
degree of fertilizer at par with it based mostly on essential distinction.

·      
For the interplay (A x B), highest yield was noticed for A1 x B2 and
not one of the mixture of two issue at par with it.

Steps to carry out evaluation of break up plot design in
Agri Analyze

Step 1: To create a CSV file with columns for replication,
Horizontal issue (A), vertical issue (B) and Yield. Hyperlink of the dataset

Step 2: Go together with Agri Analyze website https://agrianalyze.com/Default.aspx

Step 3: Click on on ANALYTICAL TOOL

Step 4: Click on on DESIGN OF EXPERIMENT

Step 5: Click on on STRIP PLOT DESIGN ANALYSIS

Step6: Choose CSV file

Step 7: Choose Replication, Horizontal issue (A), Vertical issue (B) and Dependent variable (Yield)

Step 8: Choose a check for a number of comparisons, akin to Least Vital Distinction (LSD) check or Tuckey’s check or Duncan’s New A number of Vary Take a look at (DNMRT check) for grouping of remedy means.

Step 10: After submit
obtain evaluation report.

Output Consequence

Hyperlink of the output file

REFERENCES

Gomez, Okay. A., & Gomez, A. A. (1984). Statistical Procedures for Agricultural Analysis. John wiley & sons. 108-120.

This weblog is written by:

 Darshan Kothiya

Content material Author 

Agri Analyze

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