Experimental Designs Balanced for Pairs of Residual Effect

1950 ◽  
Vol 3 (3) ◽  
pp. 351 ◽  
Author(s):  
EJ Williams

When different treatments are applied In succession to the same unit of experimental material, it is necessary to consider the residual effects of preceding treatments on the present treatment. To facilitate the interpretation of the results of such experiments, balanced designs have been developed. In the designs discussed in this paper, each treatment is preceded by each pair of other treatments, so that the designs are balanced for the effects of pairs of residual effects. It is shown that balanced designs are possible for n treatments, using n(n-1) replications. Solutions of the combinatorial problem involved can be derived from solutions of the Round Table problem, discussed m many books of mathematical puzzles. The method of analysis of designs of this type is described, and exemplified by application to a set of experimental data

1949 ◽  
Vol 2 (2) ◽  
pp. 149 ◽  
Author(s):  
EJ Williams

Where an experiment can be carried out by applying different treatments in succession to the same unit of experimental material, accurate comparisons can be made between the effects of different treatments. To allow for the residual effect of previous treatments on the result obtained for any given treatment, it is desirable to adjust the results for such effects. Methods of constructing balanced designs for the estimation of these residual effects are described in this paper, and are summarized as follows. Designs balanced for effect of single preceding treatment: When n, the number of treatments, is even, a balanced design is possible with n replications ; when n is odd, 2n replications are required.Designs balanced for the effects of any number of preceding treatments, ignoring the interaction of residual effects: When n is a prime or a power of a prime, a balanced design is possible in n(n-1) replications, which may be set out as a set of n-1 mutually orthogonal Latin squares, with the same first columns. Designs which are not expressible as mutually orthogonal Latin squares are also possible. Designs balanced for the effect of the two preceding treatments and their interactions : A design can be developed from a set of n-l mutually orthogonal Latin squares obeying certain restrictions. The method of analysis of designs of this type is set out in detail, together with a numerical example. Direct effects of treatments are shown to be only slightly confounded, the maximum confounding being 4 per cent., when there are three treatments. These designs have wide applicability wherever successive treatments can be applied to the same unit of experimental material.


2013 ◽  
Vol 1 (1) ◽  
pp. 59
Author(s):  
Kanchan Chowdhury ◽  
Rumana Rois

Balanced designs are often needed in agriculture, economics and other context. A series of balanced designs called incomplete block change-over design (IBCOD) has been developed. The analysis and the problems of IBCOD which also provide estimates of first-order and second-order residual effects have also been presented.


2016 ◽  
Vol 46 (6) ◽  
pp. 1107-1112
Author(s):  
Cinthia Maria Carlos Pereira ◽  
Juarez Lopes Donzele ◽  
Rita Flávia Miranda de Oliveira Donzele ◽  
Charles Kiefer ◽  
Verônica Maria Pereira Bernardino ◽  
...  

ABSTRACT: To evaluate inclusion levels and residual effects of diets containing yeast extract (YE) plus blood plasma (BP) on the performance of 36 to 60-days old piglets, 105 piglets were used (8.75±0.72kg), and they were distributed under a randomized block experimental design with five treatments (control - 2.0% BP; 1.0% BP plus 0.0, 1.0, 2.0, or 3.0% YE), seven repetitions, and three animals per experimental unit. Piglets were given experimental diets from 36 to 49 days of age. From 50 to 60 day of age, all piglets received the same diet. No effects from treatments (P>0.10) were observed on the performance variables from 36 to 49 day of age. From 50 to 60 day of age, an effect was observed from YE levels on the daily feed consumption (P<0.03), daily weight gain (p<0.01), and final weight (P<0.06), which increased quadratically up to 1.67, 1.67, and 1.55% YE levels, respectively. Piglets which were fed with the diet containing 1.0% BP + 2.0% YE were observed to have better feed conversion ratios (P<0.01) as compared to the control diet (2.0% BP). As it provides a better residual effect, the inclusion of 1.67% yeast extract may replace 50% of blood plasma in 36 to 49-days old piglet diets.


1989 ◽  
Vol 69 (3) ◽  
pp. 515-523 ◽  
Author(s):  
D. C. MACKAY ◽  
J. M. CAREFOOT ◽  
T. G. SOMMERFELDT

In an 8-yr experiment on an irrigated Dark Brown Chernozemic soil, four rates of N (0, 34, 67 and 101 kg ha−1), applied annually with 45 t ha−1 of manure containing softwood shavings (avg. of 46% dry wt) produced a linear yield response (from 3.5 with the check to 4.3 t ha−1 at the highest rate) of barley grain (Hordeum vulgare L. 'Galt'). There were large differences in yields among years, which could be attributed to weather factors, but there was no significant N × year response. Protein content increased linearly (from 11.2 to 13.5%), and both kernel weights and "test weights" (kg hL−1) decreased slightly but significantly with N applications. There was a pronounced "residual" effect of N rates on both grain yield (from 3.8 to 6.3 t ha−1) and protein content (from 10 to 13%) in the first year after applications of manure and N fertilizer ceased. These effects decreased rapidly and had practically disappeared by the end of the 3rd yr, although yields of all treatments remained high (about 5 t ha−1). Organic matter and N contents of the soil were increased by 70 and 41%, respectively, from the cumulative applications of shavings manure. It is concluded that application of manure containing large quantities of softwood shavings has a negligible effect on the N fertilizer requirements of the crop being grown. Beneficial residual effects of N fertilizer applied with the manure may result because of buildup of NO3-N throughout the soil profile, and likely also because of N release from readily mineralized organic compounds or microbial biomass. However, this effect was not reflected in soil tests for readily mineralizable N by NO3 incubation or KCl digestion methods and the effects were practically dissipated after 3 yr. The recovery of applied N fertilizer by the crops was high at all rates (61–79%), and essentially all of the N applied (fertilizer + manure) was accounted for by crop removal + increased soil N. Key words: Mineralizable-N soil tests, Chernozemic soil, repeated fertilizer applications, residual effects


2000 ◽  
Vol 80 (1) ◽  
pp. 63-69 ◽  
Author(s):  
Selamyihun Kidanu ◽  
D. G. Tanner ◽  
Tekalign Mamo

A trial was conducted on an Ethiopian Vertisol from 1990 to 1995 to determine the residual effects of fertiliser N applied to tef [Eragrostistef (Zucc.) Trotter] on the grain and straw yield, N content, and total N uptake of succeeding crops of durum wheat (Triticum turgidum var. durum) and tef. The mean agronomic efficiency of 60 kg fertiliser N ha−1 was 13.1 kg grain kg−1 fertiliser N applied in the current year and 5.4 kg grain kg−1 fertiliser N applied in the previous year. Thus, the residual fertiliser N benefit was equivalent to 41.2% of the response to current season N application for the two cereal crops. The mean rates of apparent recovery of fertiliser N were 65.8% for current season N application and 31.0% for previous season N application. Soil organic matter and nitrate levels increased linearly in response to both previous and current season N application rates. The current study demonstrates that the residual effect of fertiliser N enhanced the yields and N contents of the grain and straw of both wheat and tef, resulting in a significant increase in total N uptake. Any analysis of the profitability of fertiliser N response should reflect the multi-year benefit period. Key words: N recovery, N residue, N uptake, tef, wheat


2018 ◽  
Vol 53 (2) ◽  
pp. 144-151 ◽  
Author(s):  
Inana Xavier Schutze ◽  
Cléber Antonio Baronio ◽  
Morgana Mattiello Baldin ◽  
Alci Enimar Loek ◽  
Marcos Botton

Abstract: The objective of this work was to assess the lethal concentration and lethal time (LC and LT) of spinosad and spinetoram, combined with different food lures, and their residual effects on South American fruit fly (Anastrepha fraterculus). The toxic baits were offered in eight concentrations (2, 6, 14, 35, 84, 204, 495, and 1,200 mg L-1), combined with the following food lures: 7% sugarcane molasses, 3% Biofruit, 1.5% CeraTrap, 1.25% Flyral, 3% Samaritá Bait, and 3% Samaritá Tradicional; diluted food lures in water were used as controls. The residual effect of the formulations at 96 mg L-1 concentration were evaluated for 21 days and were compared with that of the commercial bait Success 0.02 CB. Both insecticides were toxic to adults of A. fraterculus, and mortality varied with the food lure used. The LC50and LT50ranged from 15.19 to 318.86 mg L-1and from 11.43 to 85.93 hours, respectively. Spinosad was 2 to 36 times as toxic as spinetoram when combined with different hydrolyzed proteins. Toxic baits formulated with spinosad and spinetoram (96 mg L-1) caused mortality equivalent to the one by Success 0.02 CB (90.2%), when assessed on the day of application. Toxic baits formulated with 3% Biofruit + spinosad and 3% Samaritá Bait + spinetoram are effective for managingA. fraterculusand provide up to seven days of residual effect in the absence of rain; however, only Success 0.02 CB caused more than 80% mortality for up to 21 days.


2013 ◽  
Vol 19 (1) ◽  
pp. 33-38 ◽  
Author(s):  
MA Tarafder ◽  
MQ Haque ◽  
MM Rahman ◽  
MR Khan

The experiment was conducted at the Bangladesh Institute of Nuclear Agriculture (BINA) sub-staion, Tajhat, Ranpure, using potato-Boro-T. aman rice cropping pattern with an objective to evaluate the direct and residual effects of sulphur and zinc on the growth, yield and nutrient uptake by the crops. The surface soil was sandy loam texture, pH 6.3, organic matter 1.24%, available sulphur 6.62 ppm and available zinc 0.45 ppm. The experiment comprised of eight treatments for potato S15Zn2 (T2, T4 and T8, S8Zn1 (T5 and T6)and S0Zn0 (T1, T3 and T7), for boro rice S20Zn4 (T3, T5, T6 and T7) and S0Zn0 (T1, T3, T4 and T6). The experiment was laid out in a randomized complete block design with three replications. Average tuber yield of potato (var. cardinal) varied from 28.29 to 32.86 t ha-1 with the highest yield in S15Zn2 treatment (100% recommended dose) and the lowest was in the S0Zn0 treatment (control). In the second crop (Boro rice), growth and yield attributes, grain and straw yields responded significantly to S and Zn applied either in the first crop or in both crops. The average grain yield varied from 3.51 to 5.27 t ha-1 over the treatments. In the third crop (T. aman rice), the grain and straw yields responded significantly to S and Zn applied either in the first and second crop or in the third crops. The grain yield of T. aman rice varied from 2.96 to 4.46 t ha-1 over the treatments. The growth and yield contributing characters were also significantly influenced by the treatment. There was a significant direct and residual effect of the treatments on S and Zn uptake by the crops.DOI: http://dx.doi.org/10.3329/pa.v19i1.16987 Progress. Agric. 19(1): 33 - 38, 2008 


1977 ◽  
Vol 17 (89) ◽  
pp. 961 ◽  
Author(s):  
C Johansen ◽  
PC Kerridge ◽  
PE Luck ◽  
BG Cook ◽  
KF Lowe ◽  
...  

The response of several tropical legumes, grown with Panicum maximum cv. Gatton, to an initial application of molybdenum as molybdenum trioxide was studied over a five year period at six sites in south-eastern Queensland. The most responsive legumes were Glycine wightii cv. Tinaroo and Desmodium intortum cv. Greenleaf, followed by Macroptilium atropurpureum cv. Siratro and Medicago sativa cv. Hunter River, with Lotononis bainesiicv. Miles and Stylosanthesguianensis cv. Cook being least responsive. Sites differed markedly in magnitude of legume response. For example, the most responsive site required 200 g ha-1 molybdenum over five years for maximum growth of Siratro whereas there was no response of Siratro to molybdenum application at another site. There was no difference between surface-applied molybdenum trioxide, molybdenum trioxide applied to the seed pellet and surface-applied sodium molybdate in their residual effects on legume growth. Response of the grass to molybdenum treatment was generally similar to legume response and nitrogen concentrations in legume and grass increased with yield.


2018 ◽  
Vol 10 (5) ◽  
pp. 276
Author(s):  
Magali De Ávila Fortes ◽  
Rogério Oliveira de Sousa ◽  
Algenor da Silva Gomes ◽  
Fabiana Schmidt ◽  
Walkyria Bueno Scivittaro ◽  
...  

The objective of this work was to evaluate the response of irrigated rice to phosphate fertilization using triple superphosphate (TSP) and Arad phosphate rock (APR), and the phosphate residual effects of upland crops in no-tillage system on the following rice crop. Also, it aimed to evaluate the efficiency of Mehlich-1 and anion exchange resin as soil P extractors. Two experiments were conducted in Albaqualf soil under irrigated conditions in the southern region of Rio Grande do Sul State. The experiments were designed as random blocks with four replications and the treatments were displayed as a 2 × 2 factorial (TSP and APR, with and without annual P application as TSP). No yield responses to phosphate were observed. Phosphate fertilization performed on upland crops (maize and soybeans) presented a residual effect on the rice crop even after four years of consecutive cropping under no-tillage. The extractors Mehlich-1 and AER were equally efficient in the evaluation of P availability for the rice crop. P content values obtained by both methods did show a significant correlation with accumulated plant P. The APR presents a similar performance as the TSP in regard to phosphate nutrition in irrigated rice when rotated with upland crops under no-tillage system.


1971 ◽  
Vol 76 (3) ◽  
pp. 387-389 ◽  
Author(s):  
J. S. Brockman ◽  
P. G. Shaw ◽  
K. M. Wolton

SUMMARYP and K fertilizers were applied over a 5-year period to plots that were either cut, individually grazed or communally grazed. Residual effects were assessed in the sixth year when the sward was ploughed and sown with Italian ryegrass. The residual study supported the earlier published inference that (a) P returned to the sward in sheep dung is not an effective P source under field conditions, (b) communal grazing can lead to appreciable transfer of K from one plot to another.


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