Abstract
In the present work, two uniformity trials were carried out during thefirst and the second winter seasons of 2011/2012 and 2012/2013 in theExperimental farm Demo, Faculty of Agriculture, Fayoum University. Themain objectives were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial. The cultivated area of each field trial was divided into 12 strips;each of which consisted of 100 rows, 0.2 m width and 3.0 m long. Twostatistical methods including soil variability index and maximum curvaturewere used to estimate the optimum plot size and shape using the yield data of1200 basic units (each of 0.6 m2). The data were subjected to two proceduresof statistical analysis to estimate the optimum plot size, when the cost ofconducting the experiment is not taken into consideration and to evaluate theeffect of changing the plot shape on the variability. The first statistical methodwas that of maximum curvature which is based on the exponentialrelationship between plot size and the coefficient of variability. The secondmethod was that developed by smith’s method (1938). Bartlett's test forhomogeneity of variances, as outlined by Steel and Torrie (1980), was usedto study the effect of changing plot shape. The obtained results could besummarized as follows: Increasing the plot size decreased the variance perbasic unit and the coefficient of variability. However, the reduction was not inproportion with the increase in plot size. The index of soil variability rangedfrom 0.6433 to 0.6018 as an average for the 1st and the 2nd seasons,respectively. The relationship between the coefficient of variability (C.V.)and plot size (X) were mathematically expressed by the following equationC.V. = 19.21 X-0.2595 for the 1st season and C.V. = 19.60 X – 0.2725 for the 2ndone. Accordingly, using the soil variability index, the optimum plot size was2 basic units (1/3500 fed.) for the two seasons, while it was 4 basic units(1/1750 fed.) in both seasons when the maximum curvature method wasapplied. The required number of replications for the optimum plot size usingSmith method detecting a 15% difference among treatment means varied 13and 14 in the 1st and the 2nd seasons, respectively. But, for detecting a 20%difference among treatment means, 7 replications in the 1st season and 8replications in the 2nd one were found necessary. Optimum plot size estimatedusing the maximum curvature method detecting a 15% difference amongtreatment means varied 7 and 8 in the 1st and the 2nd seasons, respectively. But, for detecting a 20% difference among treatment means, 4 replications inthe 1st and 2nd season's one were found necessary. Generally, the plot shapedid not affect on the precision of wheat yield trial in most cases in the twogrowing seasons.
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Claims 11
Claim · model-written summary
The soil variability index gave an optimum wheat plot size of 2 basic units (1/3500 fed.).
- Taxon
- wheat
Triticum aestivume0 - Outcome
- optimum plot sizee1
- Value
- 2 basic units (1/3500 fed.)e1
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial”
e1“using the soil variability index, the optimum plot size was2 basic units (1/3500 fed.) for the two seasons”
Claim · model-written summary
The maximum curvature method gave an optimum wheat plot size of 4 basic units (1/1750 fed.).
- Taxon
- wheat
Triticum aestivume0 - Outcome
- optimum plot sizee1
- Value
- 4 basic units(1/1750 fed.)e2
- Qualifier
- maximum curvature methode2
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial”
e1“using the soil variability index, the optimum plot size was2 basic units (1/3500 fed.) for the two seasons”
e2“4 basic units(1/1750 fed.) in both seasons when the maximum curvature method wasapplied”
Claim · model-written summary
Smith method needed 13 and 14 replications, in the 1st and 2nd seasons, to detect a 15% difference among treatment means.
- Taxon
- wheat
Triticum aestivume0 - Outcome
- number of replicationse3
- Value
- 13and 14e3
- Qualifier
- detecting a 15% difference among treatment meanse3
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial”
e3“The required number of replications for the optimum plot size usingSmith method detecting a 15% difference among treatment means varied 13and 14 in the 1st and the 2nd seasons”
Claim · model-written summary
Smith method needed 7 replications in the 1st season and 8 in the 2nd season to detect a 20% difference among treatment means.
- Taxon
- wheat
Triticum aestivume0 - Outcome
- replicationse4
- Value
- 7 replications in the 1st season and 8replications in the 2nd onee4
- Qualifier
- detecting a 20% difference among treatment meanse4
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial”
e4“for detecting a 20% difference among treatment means, 7 replications in the 1st season and 8replications in the 2nd one were found necessary”
Claim · model-written summary
The maximum curvature method needed 7 and 8 replications, in the 1st and 2nd seasons, to detect a 15% difference among treatment means.
- Taxon
- wheat
Triticum aestivume0 - Outcome
- replicationse3
- Value
- 7 and 8e5
- Qualifier
- maximum curvature methode5
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial”
e3“The required number of replications for the optimum plot size usingSmith method detecting a 15% difference among treatment means varied 13and 14 in the 1st and the 2nd seasons”
e5“using the maximum curvature method detecting a 15% difference amongtreatment means varied 7 and 8 in the 1st and the 2nd seasons”
Claim · model-written summary
The maximum curvature method needed 4 replications, in the 1st and 2nd seasons, to detect a 20% difference among treatment means.
- Taxon
- wheat
Triticum aestivume0 - Outcome
- replicationse6
- Value
- 4 replicationse6
- Qualifier
- maximum curvature methode5
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial”
e5“using the maximum curvature method detecting a 15% difference amongtreatment means varied 7 and 8 in the 1st and the 2nd seasons”
e6“for detecting a 20% difference among treatment means, 4 replications inthe 1st and 2nd season's one were found necessary”
Claim · model-written summary
The index of soil variability ranged from 0.6433 to 0.6018 across the two seasons.
- Taxon
- wheat
Triticum aestivume0 - Outcome
- index of soil variabilitye7
- Value
- 0.6433 to 0.6018e7
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial”
e7“The index of soil variability rangedfrom 0.6433 to 0.6018 as an average for the 1st and the 2nd seasons”
Claim · model-written summary
In the 1st season, the coefficient of variability was related to plot size (X) by C.V. = 19.21 X-0.2595.
- Taxon
- wheat
Triticum aestivume0 - Treatment
- plot size (X)e6
- Outcome
- coefficient of variabilitye6
- Value
- C.V. = 19.21 X-0.2595e5
Not reportedDirection
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial”
e5“C.V. = 19.21 X-0.2595 for the 1st season”
e6“The relationship between the coefficient of variability (C.V.)and plot size (X) were mathematically expressed”
Claim · model-written summary
In the 2nd season, the coefficient of variability was related to plot size (X) by C.V. = 19.60 X – 0.2725.
- Taxon
- wheat
Triticum aestivume0 - Treatment
- plot size (X)e6
- Outcome
- coefficient of variabilitye6
- Value
- C.V. = 19.60 X – 0.2725e5
Not reportedDirection
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial”
e5“C.V. = 19.60 X – 0.2725 for the 2ndone”
e6“The relationship between the coefficient of variability (C.V.)and plot size (X) were mathematically expressed”
Claim · model-written summary
Plot shape did not affect the precision of wheat yield trials in most cases in the two seasons.
- Taxon
- wheat
Triticum aestivume0 - Treatment
- plot shapee7
- Outcome
- precision of wheat yield triale7
- Direction
- did not affecte7
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial”
e7“the plot shapedid not affect on the precision of wheat yield trial in most cases in the twogrowing seasons”
Claim · model-written summary
Increasing plot size decreased the variance per basic unit and the coefficient of variability of wheat yield trials.
- Taxon
- wheat
Triticum aestivume0 - Treatment
- plot sizee6
- Outcome
- variance perbasic unit and the coefficient of variabilitye6
- Direction
- decreasede6
- Qualifier
- not inproportion with the increase in plot sizee7
Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Verbatim
e0“were to estimate the optimum plot size, plot shape andnumber of replicates for wheat yield traits using the variety Sakha 93 as plantmaterial”
e6“Increasing the plot size decreased the variance perbasic unit and the coefficient of variability”
e7“However, the reduction was not inproportion with the increase in plot size”