Experiments in square lattice with a common treatment in all blocks

O Instituto Agronômico de Campinas vem, há muitos anos, utilizando, nos seus ensaios de milho, reticulados quadrados com k² tratamentos em blocos de k + 1 parcelas, sendo a parcela extra de cada bloco cultivada com um cultivar padrão (variedade ou híbrido), não incluído entre os k² tratamentos originais. Conclui-se, pois, que esses delineamentos incluem k² + 1 tratamentos, em blocos de k + 1 parcelas. O presente trabalho deduz fórmulas para a análise da variância desses delineamentos, e para a estimação das médias ajustadas de tratamentos. Fórmulas para a variância de diversos contrastes são deduzidas. Finalmente, apresenta-se um exemplo, detalhadamente analisado, de um ensaio em reticulado quadrado com k² = 25, e 4 repetições ortogonais, instalado corn 26 cultivares, em blocos de 6 parcelas.This paper deals with a generalization of square lattice designs, with k² treatments in blocks of k + 1 plots, the extra plot in each block receiving a standard treatment, the same for all blocks. The new design leads to lower variances for contrasts between adjusted treatment mean

Substituição de subprodutos de trigo pelo sorgo moído na alimentação de pintos

Searching for a substitute of wheat bran and wheat standard middlings in chick mashes, three experiments were carried out using ground sorghums. In the first one, 30% of Atlas, Kafir e White Afrikan x Sumac (seed chops) were substituted for 30% of wheat by-products. All the rations with sorghum grain gave inferior results. In another experiment, 7, 14, 20 and 30% of sorghum substituted equal percentages of those wheat by-products, the best results having been obtained with 7% of Atlas and 23% of wheat by-products. Finally, in a third experiment, 5% of dried cow manure plus 10, 20 and 30% of ground Atlas sorghum were substituted for 5% of alfalfa hay meal plus, respectively, 10, 20 and 30% of wheat by-products. All results obtained from rations containing sorghum were as good as or better than that given by the ration including alfalfa hay meal and only wheat by-products. Under the conditions of this experiment, 5% of cow manure plus 12,25% of sorghum and 17,75% of wheat by-products is supposed to be the best combination to be recommended, this result having been attained through the study of the regression equation

Generalized Hermite-Gauss decomposition of the two-photon state produced by spontaneous parametric down-conversion

We provide a general decomposition of the two-photon state produced by spontaneous parametric down-conversion in Hermite-Gaussian modes, in the case that the pump beam is described by a Hermite-Gaussian beam of any order. We show that the spatial correlations depend explicitly on the order of the pump beam, as well as other experimental parameters. We use the decomposition to demonstrate a few interesting cases. Our results are applicable to the engineering of two-photon spatial entanglement, in particular for non-Gaussian states.Comment: 14 page draft, 5 figure

In situ degradability of elephant grass ensiled with acerola by-product.

This study evaluated the inclusion of increasing contents (0; 35; 70; 105 and 140 g kg-1) of dried acerola fruit (Malpighia glabra, Linn.) by-product (DABP) in the ensilage of elephant grass (Pennisetum purpureum, Schum.) considering the in situ degradability of dry matter (DM), crude protein (CP), neutral detergent fiber (NDF), acid detergent fiber (ADF) and hemicellulose. Plastic drums with 210 L capacity were used as experimental silos. After 45 days of ensiling, silos were opened and silage samples were collected for the degradability trial and laboratory analysis. For the in situ degradability trial, was used one rumen-fistulated adult male cattle. The five by-product inclusion contents were tested in three replicates, with five incubation times, in a randomized complete split-plot design in which the contents of DABP were the treatments (plots), the different silos were the replicates and the incubation times were the sub-plots. Longer incubation times significantly increased (P < 0.05) the disappearance rates of DM, CP, NDF, ADF and hemicellulose. The effective degradability of the DM, NDF and hemicellulose was higher in the silages with 35 g kg-1 of DABP in the rumen passage rates of 0.02; 0.05 and 0.08 h-1. Dried acerola fruit by-product can be added to elephant grass ensiling up to 35 g kg-1 without reducing the effective degradability of nutrients

Influência do desponte sôbre a composição do colmo e do caldo da cana-de-açúcar: III. Var. CB 41-76

I. This paper deals with an experiment carried out to evaluate the effect of sugar cane upper end on the composition of the stalks and juice of sugar cane harvest as a raw material for the sugar industry. The variety studied was CB 41-76. The data were collected from plant cane at intervals of a two weeks, always from the same field, from a small central area of 3.000 square meters approximately, 60 stalks were cut in each occasion, randomly chosen from the whole area. They were afterwards separated into three groups of 20 stalks one for each of the treatments, namely: a) Complete stalk, with no leaves or sheaths. b) Stalks harvested by the technique of REYNOSO, that is, as usually done in practice. c) Stalks with the tops completely cut out, that is, cut by the techinique of REYNOSO and then with 3 other top internodes eliminated. The treatments caused significant differences on the weight of cane and coefficient of purity of juice, but the percentual differences between the average treatments a and c is 13% and 2%, respectively. II. Treatment differences for cane pol, cane fibre, brix, juice pol, reducing sugars, juice ashes, glucose coefficient, saline coefficient and available sucrose (pol) per cent were not significant. III. Time of harvest was an important factor affecting the composition of the cane and the juice. This paper shows that there is no sound basis for the heavy fines applied some sugar mills to planters who do not cut low enough the tops of the cane stalks

A amostragem da cana-de-açúcar para determinações tecnológicas

The authors carried out 3 experiments on the sampling of sugar cane for technological determinations, one with each of the varieties Co 419, CB 40-69 and CB 41-58, in Piracicaba, State of São Paulo, Brasil. The main intent of the project was to compare 2 methods of sampling, namely: 1) Method A, where the sample is a hill (CATANI et al, 1959) or, more generally, 20 stalks all together in a randomly selected point of the furrow; 2) Method B, where 20 stalks are taken, from 20 points evenly spread but on the whole plot. Coefficients of variation for 20 stalk samples Variety Characteristic 20 stalks per hill 1 stalk per hill Brix 4.8% 1.9% Pol 6.4% 2.5% CB 40-69 Coefficient of purity 2.1% 0.83% Available sucrose 7.3% 2.7% Weight 6.6% 6.9% Brix 5.3% 1.8% Pol 7.6% 2.6% Co 419 Coefficient of purity 2.9% 1.0% Available sucrose 8.6% 3.0% Weight 21.2% 6.5% Brix 2.8% 1.4% Pol 4.1% 1.9% CB 41-58 Coefficient of purity 1.8% 0.8% Available sucrose 5.0% 2.2% Weight 10.9% 6.2% For the 3 varieties studied and for the data on Brix, pol, coefficient of purity, available sucrose and weight, analyses of variance were carried out. Further computations led to the following coefficients of variation. For available sucrose, which is probably the most important characteristic studied, the average coefficient of variation for the 3 varieties was 2.7%, for the case of method B, that is, 20 stalk samples, one stalk per hill. Assuming this coefficient of variation, in a trial with 5 treatments and 6 replications, in randomised blocks, the least significant difference among treatment means, at the 5% level, would be 4.7% of available sucrose by Tukey's test, and 3.3% by the t test. For the case of method A the average coefficient of variation is 7.0% and, in similar conditions, the least significant difference would be 15.1% by Tukey's test, and 12.1% by the t test. Since differences of available sucrose among treatments in experiments with fertilizers seldom are higher than 3 or 4% of the mean (PIMENTEL GOMES & CARDOSO, 1958), method B with a 20 stalk sample per plot gives more or less the minimum amount of cane to be sampled for technological determinations. In experiments with varieties, however, where differences may be assumed to be higher, a sample of 10 to 20 stalks one per hill, can be enough

Influência do desponte sôbre a composição do côlmo e do caldo da cana-de-açucar, I. Var. Co 421

I. This paper deals with an experiment carried out to evaluate the effect of the sugar cane upper end on the composition of the sugar cane harvest as a raw material for the sugar industry. The variety studied was Co 421. The authors intend to study other varieties in the future. The data were collected from plant cane, at intervals of two weeks, always from the same field, from a small central area of 3.000 square meters approximately. Sixty (60) stalks were cut in each occasion, randomly chosen from the whole area. They were afterwards separated into three groups of 20 stalks, one for each of the treatments, namely: a) Complete stalks, with no leaves or sheaths. b) Stalks harvested by the technique of REYNOSO, that is, as usually done in practice. c) Stalks with the tops completely cut out, that is, cut by technique of REYNOSO and then with 3 other top internodes eliminated. The treatments caused significant differences on the following technological characteristics: a) Weight b) Cane pol c) Available sucrose (pol) per cent cane d) Cane juice pol e) Saline coefficient of juice. II. Except for weight, all changes were favorable to treatment c, even if with differences relatively slight, in percentage. IIII. Treatment differences for cane fiber, brix, reducing sugars, juice ashes, coefficient of purity and glucose coefficient were not significant. IV. Time of harvest was an important factor affecting the composition of the cane and of the juice. V. On the average the available sucrose of cane for treatments, with an standard error of 0.13%, was: Treatment c 13.05% Treatment b 12.65% Treatment a 12.53% This shows that there is no sound basis for the heavy fines applied by some sugar mills to planters who do not cut low enough the tops of the cane stalks

A contribuição das cooperativas de cafeicultores na melhoria do tipo de café

This paper deals with the statistical analysis of data referring to raw coffee processed by cooperatives in the State of São Paulo, Brasil. Six cooperatives were studied, with a total 289 batches of coffee for all of them. For each batch the weighted average of defects was determined, before and after processing. The square roots of the data thus obtained were submitted to the technique of analysis of variance. Significant improvement in coffee type was proved in all cases, with only one exeption. The exception ocurred for the "Cooperativa da Média Sorocabana", where observed improvement was not statistically significant, this being probably due to tre following reasons: a) data of only 7 batches were available; b) the cooperative is new, and had not yet all the equipment needed. Excellent results were obtained, for example, in the "Cooperativa dos Cafeicultores da Alta Morgiana", were a difference significant at the 1% level of probability was observed, with the following means of square roots of defects and standard errors of the mean: Average number of defects before processing = 7.81 ±0.21. Average number of defects after processing = 3.53 ± 0.21. This mans that the average number of defects was lowered from aproximately 61, before processing, to 12, after processing.Êste trabalho estuda estatísticamente dados sôbre café rebeneficiado por cooperativas de cafeicultores do Estado de São Paulo. Seis cooperativas foram estudadas, com um total de 289 partidas de café. Em cada partida se determinou a média ponderada, do número de defeitos, antes e depois do rebeneficiamento. As raízes quadradas dos dados assim obtidos é que foram analisados. Melhoria estatisticamente significativa do tipo do café foi comprovada em tôdas as cooperativas, com uma única exceção, referente à Cooperativa da Média Sorocabana, onde a diminuição do número de defeitos não atingiu o nível de significância. Esta exceção da Cooperativa da Média Sorocabana provàvelmente se deve às seguintes razões: a) Apenas 7 partidas de café foram beneficiadas. b) A Cooperativa, ainda nova, não dispunha ainda de equipamento completo. Resultados excelentes foram obtidos, por exemplo, na Cooperativa dos Cafeicultores da Alta Mogiana, onde a diferênça observada foi significativa ao nível de 1% de probabilidade. As médias foram as seguintes: Média das raízes quadradas dos números de defeitos antes do rebeneficiamento = 7,81 ± 0,21. Média das raízes quadradas dos números de defeitos depois do rebeneficiamento = 3,53 ± 4,21. Estas médias correspondem a 61 defeitos para o café antes do rebeneficiamento, e 12 depois dêle