Optimal plot size in the evaluation of papaya scions: proposal and comparison of methods

Abstract

RESUMOEvaluating the quality of scions is extremely important and it can be done by characteristics of shoots and roots. This experiment evaluated height of the aerial part, stem diameter, number of leaves, petiole length and length of roots of papaya seedlings. Analyses were performed from a blank trial with 240 seedlings of "Golden Pecíolo Curto". The determination of the optimum plot size was done by applying the methods of maximum curvature, maximum curvature of coefficient of variation and a new proposed method, which incorporates the bootstrap resampling simulation to the maximum curvature method. According to the results obtained, five is the optimal number of seedlings of papaya "Golden Pecíolo Curto" per plot. The proposed method of bootstrap simulation with replacement provides optimal plot sizes equal or higher than the maximum curvature method and provides same plot size than maximum curvature method of the coefficient of variation.

Comparison of Methodologies to Determine the Optimum Plot Size for Okra Seedlings Evaluation

“…11, No. 5;2019 The maximum curvature method, according to Meier and Lessman (1971), using simulation, differs from the original to make the groupings of the X i BEU by bootstrap simulation with replacement (Efron, 1979), according to Celanti et al (2016a). We symbolized this methodology by ML boot , to differ of Meier and Lessman (1971) proposal, which named ML.…”

“…Although the researcher wishes to reduce the experimental error increasing the plot size, this criterion should be used with caution, since given a certain increase in plot size the reduction of the experimental error is very low (Pimental-Gomes, 2009), considering that it is not linear (Sousa et al, 2018) leading to expenditures for experimental material and unnecessary physical space usage. Then, it is desirable to find the optimum plot size (Meier & Lessman, 1971;Paranaíba, Ferreira, & Morais, 2009;Celanti, Schmildt, Schmildt, Alexandre, & Cattaneo 2016a).…”

“…As for the method to determine the optimum plot size, there are in the literature more than a dozen proposals, and the most frequently used in Brazil with several crops are those of maximum modified curvature (Meier & Lessman, 1971) and maximum curvature of the coefficient of variation (Paranaíba et al, 2009). Recently, Celanti et al (2016a) proposed the use of a bootstrap simulation to determine optimum plot size with the advantage of being fast for the analysis since the researcher does not need to identify the position of the plant in the blank test area.…”

“…Researches to determine optimum plot size has been done for coffee seedlings 'Rubi' (Cipriano, Cogo, Campos, & Almeida, 2012), coffee seedlings 'Catuaí Amarelo 2SL' (Firmino et al, 2012), papaya 'Golden PC' (Celanti et al, 2016a) and papaya 'Baixinho de Santa Amália' (Celanti, Schmildt, Alexandre, Cattaneo, & Schmildt, 2016b). For okra, however, no work was found in the literature about determining the optimum plot size in seedling production.…”

“…For okra, however, no work was found in the literature about determining the optimum plot size in seedling production. In this way the objective of this work is to determine and compare the optimum plot size for experiments involving okra seedlings produced in trays using the methods by Meier and Lessman (1971), Paranaíba et al (2009) and Meier and Lessman (1971) using bootstrap simulation, according to Celanti et al (2016a).…”