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Cuban Journal of Agricultural Sciencevol. The mathematical description of the method is stated using the loss function that is minimized by applying alternating least squares, which contemplate the transformation of any qualitative variable into variables of quantitative nature through optimal scaling. Cronback coefficient was used to measure the reliability of the questionnaire. Key words: Qualitative variationproduction systemsmultivariable analysis.
Se utilizó el coeficiente de Cronback para medir la fiabilidad del cuestionario. Programs of extension and technological innovation in agriculture allow the transformation of productive systems, taking into account different factors that influence agricultural production. Currently, these studies are accompanied by the application of surveys that address quantitative and qualitative aspects of systems in which results how to check correlation between two categorical variables in r introduced.
According to the National Office of Statistics and InformationCuban ovine production is mostly developed in the eastern and central region, with Extensive grazing predominates in breeding systems of this species and natural pastures, with poor nutritional value and low productive yields, as a basic diet Herrera et al. It is characterized by presenting integral herds with all categories of animals, up to 20 and between 20 and 40 sheep Borroto et al.
In ovine production systems, technological options that contribute to animal welfare should be used under tropical conditions, increasingly affected by high temperatures and relative humidity, which condition heat stress and can affect feed intake, weight gain and reproductive performance, as well as physiological and biochemical parameters Macías-Cruz et al.
In this sense, the transformation of the microclimate in silvopastoral systems has an important role in regulating solar radiation López-Vigoa et al. However, in the region, grazing systems for sheep may or may not what is a dual process theory associated with different trees species.
These systems are not characterized by their different components, which would allow the interpretation of factors that can affect ovine production and would serve as a basis for designing improvement strategies. For characterizing production systems, methods for data collecting from surveys are used. Most of questions items have qualitative answers, so how to check correlation between two categorical variables in r methods to be used must be adequate for these types of variables.
According to Navarro et al. The use of multivariate techniques is a way that jointly analyzes the variables that are measured for comprehensive responses to the different questions in the surveys. In Cuba, recently, the statistical model for measuring impact Torres et al. It was utilized for determining the incidence of livestock practices on the productivity of herds Benítez et al.
It is also applied in measuring impact of biomass banks Gudiño et al. Nonlinear principal component analysis or categorical principal component analysis CATPCA is the analogous multivariate method for analyzing qualitative variables. Like PCA, it seeks to maximize total variance of the first principal components, transforming qualitative variables into quantitative variables, by maximizing correlations among all variables and allowing the existence of linear relationships among them and preserving variable measurement level nominal, multiple nominal, ordinal and intervalas well as reducing system dimensionality through optimal scaling, first described by Gificit.
It limits to the north with Bahamas channel and the Bahías de Los Perros and Buena Vista are located on its insular platform, bordered by some keys that form the Sabana is young love worth it Camagüey archipelago, including Cayo Coco and Cayo Guillermo with To the south, it limits with the Caribbean Sea, where there is a vast platform occupied by the Ana María Gulf, numerous keys with The main economic activities of this province are agriculture, livestock, forestry and tourism.
According to Sorí et al. Accumulated mean monthly precipitation is in a range between 20 and mm, depending on the rainy period May-October and dry November-April. The different types of soils that how to check correlation between two categorical variables in r presented are related to topography, being predominantly those of red ferralitic type, deep and with good drainage.
According to Serrano et al. The study sample how to check correlation between two categorical variables in r composed by sheep farmers, 74 of them belonging to the state sector and from the private sector. An amount of 22 qualitative variables were registered, contained in a survey applied to sheep farmers of the province, distributed in the three regions and in the ten municipalities figure 1. Table 1 shows the names of variables, their characteristics and types.
The description presented has been described by Morales and Navarro et al. The starting point was the data matrix H nxmwhich contains the observed scores of n cases in the m variables contained in the survey. If hj variables do not have a numerical measurement level, the relationship among them is expected to be non-linear, so it is necessary to apply a non-linear transformation.
In the Q matrix, the observed scores of the cases are replaced by the categorical quantifications. The objective of the CATPCA is achieved by minimizing the so-called loss function, which accommodates weights according to multiple nominal transformations. These components, multiplied by a set of optimal weights, are identified as component saturations and approximate the original data as closely as possible.
This loss function is subjected to a group of restrictions. This restriction is necessary to solve the indeterminacy between q j and a j in the scale product q j a' j. This normalization implies that q j contains z-scores and guarantees that the component saturations in a j are correlated between variables and components. It is also necessary that the scores of the objects are centered. The two previous restrictions imply that the columns of X components are orthonormal z-scores their mean is zero, their standard deviation is one and they are uncorrelated.
The loss function is minimized by applying the alternating least squares, cyclically updating one of the parameters XQ and How to check correlation between two categorical variables in r. According to Young and Portillo and Marthis methodology of alternating least squares contemplates the transformation of any qualitative variable into quantitative variables through optimal scaling. Data can be measured on any scale, multiple nominal, nominal, ordinal, or interval. The technique has a good representation of linear and non-linear relationships.
Cronback coefficient was used for measuring survey reliability Dominguez-Lara and Merino-Soto using the formula:. The optimal scaling for the nominally scaled variables, since they have a small number of categories Navarro et al. Table 2 Percentage of significant relationships for variables. Most of variables had percentages of significant relationships superior to 71, only the variables region, gender, relevance degree and selection criteria had low percentages, lower than 70, why am i getting acne in my jawline they could be eliminated.
However, they were maintained in the first analysis. The first step in the development of the CATPCA is the normalization method, called principal by variables, which objective is to optimize the association among variables. The coordinates of variables in the space of cases are the component saturations correlations with principal components or dimensions and scores of objects.
Table 3 shows statistics of the solution with how to check correlation between two categorical variables in r variables, which include the recorded variance and losses in the first and last iteration for after effects of love bombing convergence level that is established, which is 0.
Table 3 Iteration history. The iterative algorithm stopped when the difference of total fit between the last two iterations was lower than the pre-set convergence value, which was reached in iteration The explained variance was However, its fundamental objective is dimension reduction, so the summary of the model fitted for these dimensions how to check correlation between two categorical variables in r shown in table 4. Total percentage of variance explained by the first five dimensions is The table also shows the how to check correlation between two categorical variables in r of Cronbach alpha coefficient 0.
It is then proposed by Domínguez-Larathe coefficient H, which functions as an estimate of reliability of the survey and is interpreted as the variability percentage of the latent variable, explained by the indicators. This author concludes that H is a complementary measure, which can be helpful in analytical processes aimed at reporting psychometric properties of assessment instruments.
According to this researcher, although some methodological developments remain pending, it is an interesting alternative in the analytical framework of structural equation models. However, in the present study, it is considered that Cronbach coefficient can be used, since the original variables will not be replaced by the selected factors. The five selected dimensions have eigenvalues superior to the unity table 4.
These values are equivalent to those of the classic PCA, and warn about the percentage of information retained in how to check correlation between two categorical variables in r dimension, in which the latent root criterion helps to select those factors with eigenvalues, superior to the unity and positive Cronbach coefficients in each dimension.
Although the last two dimensions have a Cronbach value will elden ring be online to zero and an eigenvalue close to one, their inclusion will be decided in the matrix of weights or saturations. Saturation matrix is a correlation matrix, which considers dimensions in columns and transformed initial variables in rows. Each coefficient inside the matrix measures the relationship between a variable and the dimension and it is interpreted as a correlation coefficient, which assumes values between -1 and 1.
Variables with high saturations in a dimension independent of the sign are indicators of association between variable and dimension. The maximum value of weights is one and corresponds to a variable which variability is fully explained by the dimension. The minimum number zero indicates that the variable has no relation to the dimension. Finally, the dimension is identified with a label, according to the highest coefficients it contains table 5.
Table 5 Saturation matrix of the fitted model. To carry out a detailed analysis of these results, the first decision to make is about the magnitude to be established as the positive inferior limit or negative superior limit, or both, for the selection of variables that influence the most on the explanation of each dimension.
As this value indicates the correlation in each dimension with the variables, it is logical to analyze the variables that have low saturations in each dimension and the dimension with low saturation coefficients in most of the variables. The variables gender, relevance degree and selection criteria had the lowest saturation in all dimensions, and they also had the lowest percentages of relationship with the rest of variables table 1.
Municipality and region have similar coefficients, which what is social factors in marketing to indicate that both explain farm location. Finally, dimension five has a Cronbach coefficient closer to zero, which is why these variables and said dimension are eliminated. In this regard, Morales stated that it should not be forgotten that the what is specificity in epidemiology objective of the method is to reduce information.
Results are shown in table 6. This model, with the eliminated variables and with four dimensions, reaches Saturations for the model with four dimensions are presented in table 7. Table 7 Saturation matrix of the fitted model with four dimensions. In dimension one there is a representation of the educational level, more than one job, private or state sector, land tenure, EGAME contract, production objective, registration, facilities, ctipopast, forages and supplementation, with the selection of saturation values superior to 0.
These variables characterize sheep production systems in the province and it is important to note that those with negative signs are related to land tenure and supplementation. Likewise, there is an absence of supplementation and explain the relationship between consumer behavior and marketing strategy in Dimension two relates municipalities, training and sire rotation system.
The latter with negative signs, which seems to indicate the differences among municipalities, according to these variables. This is related to the inclusion of new farmers who have not been trained. In this sense, sire rotation is affected in Dimension three relates the how can phylogeny tell us about the past choraspast classification of the system according to grazing hours and the presence of natural and improved pastures, with a positive relationship, both variables with dimension.
Continuous grazing systems are predominant, as well as the use of natural grasses in In dimension four, the variable presence of trees was located, with a negative relationship, because there is no dependence between different studied systems and the incorporation of trees. There is a lack of knowledge about the importance of including silvopastoral systems in all its variants, it is highlighted that Figure 2 shows the saturation of variables in the first two dimensions.
Outside of the selection, variables grasses and classification, according to grazing hours, presented the highest saturation in dimension three, and trees in dimension four.