拉丁方

In a 4×4 latin square design four steers (500±50) kg with permanent rumen and abomasum cannulae were fed on the different type of diets to study the effects of fiber digestion and VFA in the rumen on the methane production.

装有瘤胃和真胃瘘管的成年阉牛4头，体重（500±50）kg，采用4×4完全拉丁方试验设计，在呼吸代谢室内就不同日粮的纤维消化、瘤胃内VFA对甲烷产生量的影响进行了研究。

WT5BZFour adult castrated steers with permanent abomasum cannulas according to a complete 4×4 Latin square design in respiratory double chambers (BAU KB 1)were used to determine the effects of abomasal infusion with palm oil of 0,100,200,and 300 g/d on the energy conversion.

用安装真胃瘘管体重 370kg的 4头阉牛，按 4× 4完全拉丁方设计，用KB 1型自控大型呼吸测热室，研究真胃灌注不同水平棕榈油(10 0 g/d、2 0 0 g/d、30 0g/d和 0 g/d)对能量、蛋白质转化效率及血液生化指标的影响。

It focuses extensively on multiple and partial regression and correlation, some uses of Chi squares, and some advanced experimental designs and data analysis, including: two- and three- factor factorial, Latin square, nested, split-plot, confounding and fractional replication experiments.

本课程进一步介绍多元回归与偏回归，复相关与偏相关，χ2的应用，和部分高级试验设计与结果分析，包括：两因素和三因素因子式试验设计与分析，拉丁方试验设计与分析，巢式试验设计与分析，裂区试验设计与分析，混杂和部分重复试验设计与分析等内容。

Our result on the isotopy classes of latin squares of order 7 is also obtained by another mathematics-mechanization method.

我们用另一计算机辅助方法证明，我们所得的7阶拉丁方的564个合痕类代表元是互

So method AIC is more effective for finding the isotopy classes of latin squares.

1引言与主要结果本文利用计算机辅助方法研究拉丁方的合痕分类问题。

On the basis of permutation, the concept of feature number, which is a fixed quantity of Latin square isotopy, is given.

在置换合痕的基础上，提出拉丁方合痕不变量—特征数的概念，进而提出一种判别拉丁方合痕代表元的算法—特征数法，同时提出局部合痕的概念，使拉丁方合痕代表元判别问题在实现时大大加

In this paper, we discuss symmetric Latin square s and their special orthogonality,and describe their application in the area of experimental design, together with an example of the arrangement of a kind of bridge games.

讨论的是一类具有对称性的拉丁方，并且给出这类对称拉丁方特殊的正交性的定义。

Application and analysis of data from randomized blocks designs, Latin and Greco-Latin squares, incomplete blocks designs, split-plot and repeated measures, factorial and fractional replicates, response surface experiments.

随机区组设计数据的分析和应用，拉丁方和希腊拉丁方，不完整的区组设计，裂区设计和重复测量设计，析因和部分重复，反应曲面试验。

Basic topics and ideas in the design of experiments: randomization and randomization tests; the validity and analysis of randomized experiments; randomized blocks; Latin and Greco-Latin squares; plot techniques; factorial experiments; the use of confounding and response surface methodology; weighing designs, lattice and incomplete block and partially balanced incomplete block designs.

实验设计：实验设计：试验设计的基本思想和论题：随机化和随机化检验；随机试验的效度与分析；随机区组设计；拉丁方和希腊拉丁方；制图技术；析因试验，混杂法和反应曲面法的运用；加权设计，方格设计和不完全区组设计，部分平衡的不完全区组设计。

Basic topics and ideas in the design of experiments: randomization and randomization tests; the validity and analysis of randomized experiments; randomized blocks; Latin and Greco-Latin squares; plot techniques; factorial experiments; the use of confounding and response surface methodology; weighing

实验设计：试验设计的基本思想和论题：随机化和随机化检验；随机试验的效度与分析；随机区组设计；拉丁方和希腊拉丁方；制图技术；析因试验，混杂法和反应曲面法的运用；加权设计，方格设计和不完全区组设计，部分平衡的不完全区组设计。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。