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This study analyzed the response of the Bartlett test as a function of sample size and to define the optimal sample size for the test with soybean grain yield data. Six experiments were conducted in a randomized block design with 20 or 30 cultivars and three repetitions. Grain yield was determined per plant, totaling 9,000 sampled plants. Next, sample scenarios of 1, 2, ..., 100 plants were simulated and the optimal sample size was defined via maximum curvature points. The increase in sampled plants per experimental unit favors Bartlett test’s precision. Also, the sampling of 17 to 20 plants per experimental unit is enough to maintain the accuracy of the test. RESUMO: Os objetivos deste estudo foram analisar a resposta do teste de Bartlett em função do tamanho de amostra e definir o tamanho amostral ótimo para o teste com dados de produtividade de grãos de soja. Foram conduzidos seis experimentos em delineamento de blocos ao acaso com 20 ou 30 cultivares e três repetições. A produtividade de grãos foi definida por planta, totalizando 9.000 plantas amostradas. Logo, foram simulados cenários amostrais de 1, 2, ..., 100 plantas e definido o tamanho amostral ótimo via pontos de máxima curvatura. O aumento de plantas amostradas por unidade experimental favorece a precisão do teste de Bartlett. Além disso, a amostragem de 17 a 20 plantas por unidade experimental é suficiente para manter a acurácia do teste.

This study aimed to evaluate the seedlings growth of Petunia x hybridaand Gomphrena globosaat different times and substrates based on agricultural residues. A completely randomized experimental design was adopted, in a factorial scheme, with treatments consisting of four replications and the experimental unit formed by ten plants. The flower species Petunia x hybridaand G. globosawere cultivated in five substrate compositions and in two seasons, with sowing carried out in April and June for Petunia x hybridaand April and October for G. globosa. The substrates were composed using commercial substrate (CM), bovine manure (BM), worm humus (WM) and rice husk ash (HA), in volumetric proportions: (S1) 100% CS; (S2) 40% CS + 20% BM + 20% WH + 20% HA; (S3) 60% CS + 20% WH + 20% HA; (S4) 60% CS + 20% BM + 20% HA; and (S5) 80% CS + 20% BM. Emergence, emergence speed index, height, number of leaves, length of the largest leaf, length of the largest root, dry mass of the aboveground part, dry mass of the root system and total dry mass were evaluated. The seedlings growth of the Petunia x hybridaand G. globosachanged according to the characteristics of the substrates and the growing seasons. The substrate composed with 80% commercial substrate and 20% bovine manure showed similar or superior results to the commercial substrate and can be used in order to reduce production costs without prejudice to the seedlings growth. The cultivation of Petunia x hybridain April resulted in seedlings with greater height, leaf length and greater accumulation of phytomass. The G. globosa seedlings showed greater development of the aboveground part and the root system, in addition to greater accumulation of phytomass when cultivated in October.

The objective of this work was to define the optimal plot size and number of replicates for the evaluation of the fresh weight of sorghum (Sorghum bicolor) hybrids. Thirty-two uniformity trials were carried out with two hybrids, in two sowing dates and four evaluation periods. Each trial was divided into 48 basic experimental units (BEUs) of 0.5 m2, and fresh weight was determined for each BEU. The mean, variance, coefficient of variation, first-order spatial autocorrelation coefficient, optimal plot size, and coefficient of variation of the optimal plot size were calculated. The number of replicates was determined on the basis of the largest calculated plot size, through an iterative process, for the combinations of number of treatments and differences among means to be detected as significant by Tukey’s test, at 5% probability. The optimal plot size ranged from 1.79 to 2.58 m2, and the number of replicates from 2.6 (~3) to 49.2 (~50). The optimal plot size is 2.58 m2, and five replicates are sufficient to identify as significant the differences between treatment means of 35%. Resumo O objetivo deste trabalho foi definir o tamanho ótimo de parcela e o número de repetições para a avaliação da massa de matéria fresca de híbridos de sorgo (Sorghum bicolor). Trinta e dois ensaios de uniformidade foram realizados com dois híbridos, em duas datas de semeadura e quatro períodos de avaliação. Cada ensaio foi dividido em 48 unidades experimentais básicas (UEBs) de 0,5 m2, e a massa de matéria fresca foi determinada para cada UEB. Calcularam-se a média, a variância, o coeficiente de variação, o coeficiente de autocorrelação espacial de primeira ordem, o tamanho ótimo de parcela e o coeficiente de variação do tamanho ótimo de parcela. O número de repetições foi determinado com base no maior tamanho de parcela, por meio de um processo iterativo, para as combinações de número de tratamentos e de diferenças entre médias a serem detectadas como significativas pelo teste de Tukey, a 5% de probabilidade. O tamanho ótimo de parcela oscilou entre 1,79 e 2,58 m2, e o número de repetições entre 2,6 (~3) e 49,2 (~50). O t a m a n ho óti mo de pa rcela é de 2, 58 m 2, e cinco repetições são suficientes para identificar como significativas as diferenças entre médias de tratamentos de 35%.

The objective of this study was to evaluate the influence of substrates on the growth and yield of Cascade and Samambaia cherry tomato cultivars under protected environment. A completely randomized experimental design with six treatments and four replications was adopted. The treatments consisted of six substrates resulting from the combination of soil (CS), bovinemanure (BM), rice husk (RH) and rice hull ash (RA), in the proportions: S1 -70% SC + 10% BM + 10% RH + 10% RA; S2 -60% SC + 20% BM + 10% RH + 10% RA; S3 -50% SC + 30% BM + 10% RH + 10% RA;S4 -60% SC + 30% BM + 10% RH; S5 -70% SC + 20% BM + 10% RH; and S6 -100% SC. Plant growth, yield and development parameters were evaluated. Cherry tomato growth and yield changed according to the substrate characteristics. The substrate composed by soil was not efficient, presenting the lowest values for all the vegetative and reproductive parameters studied. The substrates made from alternative ecologically based residues are interesting and alternative sources for tomato cultivation aiming at the reuse of the matter and the sustainability of the production system.

Leaf area is an important growth variable in agricultural crops and the leaf is the main variable of interest in the tobacco industry. So, the aim of this scientific research was to estimate the Burley tobacco leaf area by linear dimensions of the leaves and to determine which mathematical model is more adequate for this purpose. Two experiments were carried out with Burley tobacco, cultivar DBH 2252, in 2016/2017 and 2018/2019 agricultural years, respectively, in the municipalities of Itaqui and Vanini - RS - Brazil. In 600 leaves were measured length (L), width (W), length×width product (LW), length/width ratio (L/W) and determined the real leaf area (LA). Four hundred and fifty leaves were separated to generate models of the leaf area as a function of linear dimension and the other 150 leaves were used for model’s validation. The power model LA = 0.5037LW1.04435 (R² = 0.9960) is the most adequate for Burley tobacco ‘DBH 2252’ leaf area estimation. Alternatively, the models LA=2.0369W1.8619 (R²=0.9796) and LA=0.1222L2.2771 (R²=0.9738) based on width and length, respectively, can be used when only one leaf dimension is measured.

The objective of this research was to determine the optimal plot size and the number of replications to evaluate the fresh matter of ryegrass sown to haul. Twenty uniformity trials were conducted, each trial with 16 basic experimental units (BEU) of 0.5 m2. At 117, 118 and 119 days after sowing, the fresh matter of ryegrass in the BEUs of 5, 10 and 5 uniformity trials, respectively, were determined. The optimal plot size was determined by the maximum curvature method of the variation coefficient model. Next, the replications number was determined in scenarios formed by combinations of i treatments (i = 3, 4, ... 50) and d minimum differences between means of treatments to be detected as significant at 5% of probability by the Tukey test, expressed in experimental mean percentage (d = 10, 11, ... 20%). The optimal plot size to determine the fresh matter of ryegrass seeded at the haul is 2.19 m2, with a variation coefficient of 9.79%. To identify as significant at 5% probability, by the Tukey test, differences between treatment means of 20%, are required five, six, seven and eight replications, respectively, in ryegrass experiments with up to 5, 10, 20 and 50 treatments. RESUMO: Os objetivos deste trabalho foram determinar o tamanho ótimo de parcela e o número de repetições para avaliar a massa verde de azevém semeado a lanço. Foram conduzidos 20 ensaios de uniformidade, sendo cada ensaio composto por 16 unidades experimentais básicas (UEB) de 0,5 m2. Aos 117, 118 e 119 dias após semeadura foi determinada a massa verde de azevém nas UEB de 5, 10 e 5 ensaios de uniformidade, respectivamente. Foi determinado o tamanho ótimo de parcela pelo método da curvatura máxima do modelo do coeficiente de variação. A seguir, foi determinado o número de repetições em cenários formados pelas combinações de i tratamentos (i = 3, 4, ..., 50) e d diferença mínima significativa do teste de Tukey a 5% de probabilidade, expressa em percentagem da média do experimento (d = 10%, 11%, ..., 20%). Conclui-se que o tamanho ótimo de parcela para determinar a massa verde de azevém semeado a lanço é de 2,19m2, com coeficiente de variação de 9,79%. Para identificar como significativas a 5% de probabilidade pelo teste de Tukey, diferenças entre médias de tratamentos de 20%, o número de repetições necessárias é de cinco, seis, sete e oito repetições, respectivamente, para experimentos com até 5, 10, 20 e 50 tratamentos na cultura do azevém.