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correlation matrix characteristics

December 5, 2020

It is a powerful tool to summarize a large dataset and to identify and visualize patterns in the given data. Learn the most important formulas, functions, and shortcuts to become confident in your financial analysis. our case as a correlation matrix has the further requirement that all entries are restricted by |a (i,j)| < 1. and fiber/matrix ratio, as well as the flexural modulus and the amount of fiber was found. The electrical property imaging system includes an array of sensors positioned around the object to measure a surface charge thereon when a sinusoidal voltage is applied across the object. : Studies find a positive correlation between severity of illness and nutritional status of the patients. En utilisant cette fonction le coefficient de corrélation r de Pearson ou rho de Spearman est calculer pour toutes les paires de variables possibles dans la table de données. pwcorr displays all the pairwise correlation coefficients between the variables in varlist or, if varlist is not specified, all the variables in the dataset. - n : la matrice du nombre d’observations utilisé dans l’analyse de chaque paire de variables. Universal random matrix correlations of ratios of characteristic polynomials at the spectral edges G.Akemann1 and Y.V.Fyodorov2 1Service de Physique Th´eorique, CEA/DSM/SPhT Saclay Unit´e de recherche associ´ee au CNRS F-91191 Gif-sur-Yvette Cedex, France 2Department of Mathematical Sciences, Brunel University Uxbridge, UB8 3PH, United Kingdom Abstract It has been shown recently … In optics, normalized autocorrelations and cross-correlations give the degree of coherence of an electromagnetic field. To keep learning and advancing your career, the following CFI resources will be helpful: To master the art of Excel, check out CFI’s FREE Excel Crash Course, which teaches you how to become an Excel power user. In this study, we examined the characteristics of correlation patterns to determine the difference in structural topology between the three MCNs of cortical thickness, surface area, and GM volume. In mathematics and statistics, covariance is a measure of the relationship between two random variables. La fonction corrplot prend la matrice de corrélation comme premier argument. CorrGAN in mlfinlab supports up to a 200 dimension matrix. Call D p(S p) the diagonal matrix consisting of the diagonal of S p. Then we have: C p = [D p(S p)] −1/2 S p [D p(S p)] −1/2. The matrix depicts the correlation between all the possible pairs of values in a table. Fluorescence excitation-emission matrix spectroscopy (EEMs) has become a very popular technique in characterization of aquatic dissolved organic matter (DOM) coupled with a parallel factor (PARAFAC) model, denoted as (EEMs-PARAFAC). The expectation of a random vector is , the covariance matrix .We denote . Correlation coefficients are used to measure the strength of the relationship between two variables. Dans la table ci-dessus les coefficients de corrélation sont montrés entre les différentes paires possibles de variables. Herein, the correlation between Li plating behavior and the surface characteristics of electrospun porous carbon nanofibers (PCNFs) is systemically elucidated through experiments and theoretical calculations. Pearson-like characteristics and a sound statistical interpretation that works for interval, ordinal and categorical variable types alike. This paper describes a novel correlation coe cient, ˚K, with properties that { taken together { form an advantage over existing methods. H is defined as the channel correlation matrix; it has M R MR entries. Covariance and Correlation Matrices Let us consider a random vector X with mean µ and covariance matrix Σ, of the form of a (p × p) symmetric positive definite random matrix 11 12 1 21 22 2 12 p p p p pp σσ σ σσ σ σσ σ = Σ of pairwise covariances between components in the matrix. Correlation definition, mutual relation of two or more things, parts, etc. Further, it refers to a group of investments that an investor uses in order to earn a profit while making sure that capital or assets are preserved.. You then analyze the stocks of the following companies: NVIDIA, Ford, Shell, and Alphabet. The covariance between two random vectors and is .If and are independent, then . In this study, we examined the characteristics of correlation patterns to determine the difference in structural topology between the three MCNs of cortical thickness, surface area, and GM volume. The resulting matrices are shown in section 4. Want to Learn More on R Programming and Data Science? Scatterplots and correlation review. Page 1 of 3 Pairwise Correlation Coefficients Exercise Consider 4 characteristics which can be measured for each item in a sample of 6. There are other terms – such as common share, ordinary share, or voting share – that are equivalent to common stock. When someone speaks of a correlation matrix, they usually mean a matrix of Pearson-type correlations. Correlation between two variables indicates that a relationship exists between those variables. Each cell in a table contains the correlation coefficient. The SPCT does not exhibit the optimum compression characteristic of the PCT, of course. For example, the image below visualizes a dataset of brain size versus body size. It is revealed that the neat carbon surface suffers from severe lattice mismatch with Li metal, hindering uniform Li plating. Pearson Correlation Coefficient Calculator. If varlist is not specified, the matrix is displayed for all variables in the dataset. Une application web pour calculer et visualiser une matrice de corrélation est disponible ici sans aucune installation: logiciel en ligne de calcul de matrices de corrélation. Something to keep in mind is, the higher the dimension of the matrix generated, the longer it takes CorrGAN to generate a sample. Les corrélations positives sont affichées en bleu et les corrélations négatives en rouge. This may allow complementary accounting for spatial and topological information when combined with network parameters. Moreover, statistics concepts can help investors monitor. coefficients for different variables. A correlation matrix is simply a matrix of values that shows the correlation coefficients between variables. The correlation coefficient r has two distinctive characteristics: 1) coefficient value itself indicates the strength of the association, and 2) the sign of coefficient indicates the direction of the association. Cette section fournit une fonction simple pour formater une matrice de corrélation en une table à 4 colonnes contenant : La fonction ci-dessous peut être utilisée: Plusieurs solutions sont disponibles dans R pour visualiser une matrice de corrélation: La fonction symnum de R remplace les coefficients de corrélation par des symboles en fonction de leurs valeurs. reducing risks within a portfolio by trading stocks that have little correlation with one another. Avez vous aimé cet article? A table that captures the correlation coefficients between different variables. Correlation coefficients can vary from -1 to 1. Learn about the most common type of correlation—Pearson’s correlation coefficient. A correlation is a statistical measure of the relationship between two variables. Si vos données contiennent des valeurs manquantes, utiliser le code R suivant qui va automatiquement les gérer en les supprimant. Hypothesis Testing is a method of statistical inference. In ML, think of how your features correspond with your output. A portfolio bearing assets that are highly correlated is less diversified. Un format simplifié de la fonction est : L’argument method indique le type de coefficient de corrélation à calculer. Principal component analysis of the correlation matrix provides an orthogonal basis for the space of the observed data: In this basis, the largest eigenvalues correspond to the principal components that are associated with most of the covariability among a number of observed data. On the other hand, an autoregressive matrix is often used when variables represent a time series, since correlations are likely to be greater when measurements are closer in time. See more. One of the chief competitors of the Pearson correlation coefficient is the Spearman-rank correlation coefficient. Fact 1 (Correlation matrix as function of covariance matrix). Enter the input range that contains the name of the companies and the stock prices. The importance of data cannot be overstated. CORRELATION OF STRUCTURAL CHARACTERISTICS OF PRODUCT DESIGN STRUCTURE MATRICES W. Biedermann and U. Lindemann Keywords: design structure matrix, product model, structural analysis, structural characteristics 1. Page 1 of 3 Pairwise Correlation Coefficients Exercise Consider 4 characteristics which can be measured for each item in a sample of 6. When I was working on a project to do the this, my Neural Network couldn’t predict the electrical devices. It is a powerful tool to summarize a large dataset and to identify and visualize patterns in the given data. If we consider two samples, a and b, where each sample size is n, we know that the total number of pairings with a b is n(n-1)/2. This is known as a linear correlation. that can be potentially added to the portfolioInvestment PortfolioAn investment portfolio is a set of financial assets owned by an investor that may include bonds, stocks, currencies, cash and cash equivalents, and commodities. The correlate command displays the correlation matrix or covariance matrix for a group of variables. Statistical Tools For High-Throughput Data Analysis, Matrice de corrélation: Guide simple pour analyser, formater et visualiser. Expectations are linear, i.e., .If and are independent, then . correlation in the first case and inverse correlation in the second. The block returns only parts of the cross-correlation matrix that are computed without zero-padded edges. However, there are cases in which standard deviations and correlations are estimated first, and the covariance matrix derived from those estimates. La table de données mtcars disponible dans R est utilisée dans les exemples suivants pour calculer la matrice de corrélation. La fonction chart.Correlation(), du package PerformanceAnalytics, peut être utilisée pour faire un graphique de la matrice de corrélation. The clustering was done manually due to the small matrix sizes (16 by 16 and 10 by 10). The characteristics of the fitted trend line are consistent to those predicted by Eqs. It can be done through the following steps: Each column represents the stock prices of a distinct company for the specified period (from December 2015 to November 2018). The result is a simple function that samples from CorrGAN and returns a ready to use financial correlation matrix. Direction. Enjoyed this article? The Pearson correlation coefficient is used to measure the strength of a linear association between two variables, where the value r = 1 means a perfect positive correlation and the value r = -1 means a perfect negataive correlation. Each member of the dataset gets plotted as a point whose x-y coordinates relates to its values for the two variables. A correlation matrix is a table of correlation coefficients for a set of variables used to determine if a relationship exists between the variables. The auto-correlation matrix (also called second moment) ... autocorrelation is used to establish a link between surface morphology and functional characteristics. Re: Correlation Table/Matrix according to Categorical Characteristics In Cell B2 of "Correl_Sandbox" tab use this array formula =CORREL(IF( Data!$B$2:$B$37="Sandbox", INDEX(Data!$H$2:$M$37,,MATCH($A2,Data!$H$1:$M$1,0)),""),(IF( Data!$B$2:$B$37="Sandbox", INDEX(Data!$H$2:$M$37,,MATCH(B$1,Data!$H$1:$M$1,0)),""))) Basically I want to be able to get a correlation table between all the Numeric Data columns, but do it according to each different category. Learn Excel online with 100's of free Excel tutorials, resources, guides & cheat sheets! Figure 2 shows the correlation matrix of the global metrics. Let there be n assets and s states of the world, with R an {n*s} matrix in which the element in row i and column j is the return (or value) of asset i in state of the world j. For instance, it may be helpful in the analysis of multiple linear regression models. The values of the cross-correlation output are normalized to [0, 1]. La valeur par défaut est le coefficient de corrélation de pearson, lequel mesure une dépendence linéaire entre deux variables. - r : la matrice de corrélation. Your manager recently asked you to analyze the correlations between prices of stocksCommon StockCommon stock is a type of security that represents ownership of equity in a company. x doit être un objet de type matrix. Correlation 1 .882**-tailed).000 N 20 20 Calcium intake (mg/day) Pearson Correlation .882 ** 1 Sig. Le second argument (type=“upper”) est utilisé pour afficher seulement le triangle supérieur de la matrice de corrélation. Case of the Population Correlation Matrix Not Being Identity 2.1. H is defined as the channel correlation matrix; it has M R MR entries. The correlation matrix of the global metrics and the average matrix of the local metrics were clustered to highlight sets of highly correlated metrics. In addition, the correlation matrix is frequently utilized in conjunction with other types of statistical analysisBasic Statistics Concepts for FinanceA solid understanding of statistics is crucially important in helping us better understand finance. Dans la section suivante, nous allons utiliser le package Hmisc de R pour calculer la p-value de la corrélation. Moreover, statistics concepts can help investors monitor. To do this, we simply reverse the terms in the definition of correlation. You are the stock analyst in the investment bank. For the Pearson correlation, an absolute value of 1 indicates a perfect linear relationship. - P : les p-values correspondant aux niveaux de significativité des corrélations. Le résultat est une table contenant les coefficients de corrélation entre chaque variable et les autres. In this post I show you how to calculate and visualize a correlation matrix using R. For example, we can find out the relationship between the age of a person and the appearance of grey hair. Your matrix should look like the image below: Learn more in CFI’s Advanced Excel Formulas Course. Je vous serais très reconnaissant si vous aidiez à sa diffusion en l'envoyant par courriel à un ami ou en le partageant sur Twitter, Facebook ou Linked In. Data correlation is the way in which one set of data may correspond to another set. The further a value is from 0, the higher the correlation between two variables. This video shows how to interpret a correlation matrix using the Satisfaction with Life Scale. Large values in this matrix indicate serious collinearity between the variables involved. Comme résultat, la fonction rcorr() renvoie une liste avec les éléments suivants : The Spearman correlation is calculated by applying the Pearson correlation … Correlation of photoluminescent quantum efficiency and device characteristics for the soluble electrophosphorescent light emitter with interfacial layers Nam Su Kang,1 Byeong-Kwon Ju,1 Ji Whan Kim,2 Jang-Joo Kim,2 Jae-Woong Yu,3 and Byung Doo Chin3,a 1Display and Nanosystem Laboratory, College of Engineering, Korea University, Seoul 136-713, Republic of Korea 2Department of Materials … In multiple linear regression, the correlation matrix determines the correlation coefficients between the independent variablesIndependent VariableAn independent variable is an input, assumption, or driver that is changed in order to assess its impact on a dependent variable (the outcome). The sign of the coefficient indicates the direction of the relationship. The spatial correlation only applies to the selected transmit and/or receive antennas, and the correlation coefficients are the corresponding entries in the transmit, receive, or combined correlation matrices. Energy Disaggregation uses ML to find the kind of electrical devices you might have in your home. But what if you want to create a correlation matrix across a range of data sets? La distribution de chaqu’un des variables est montré sur la diagonale. Unfortunately, these correlations are unduly influenced by outliers, unequal variances, nonnormality, and nonlinearities. The coefficient indicates both the strength of the relationship as well as the direction (positive vs. negative correlations). This paper describes a novel correlation coe cient, ˚K, with properties that { taken together { form an advantage over existing methods. Determine the pairwise correlation coefficient matrix for the 4 characteristics and Correlation between the Mechanical Properties and . Pour lire plus à propos de la fonction corplot() cliquez ici : visualiser une matrice de corrélation avec la fonction corrplot. Call C p the correlation matrix of our data and S p the covariance matrix of the data. A high, positive correlation values indicates that the items measure the same skill or characteristic. Any scalar product matrix is a summary characteristic of some multivariate data (a cloud). Une matrice de corrélation est utilisée pour évaluer la dépendence entre plusieurs variables en même temps. Elle prend la matrice de corrélation comme argument: Comme indiqué dans la légende, les coefficients de corrélation entre 0 et 0.3 sont remplacés par un espace (" “); les coefficients de corrélation entre 0.3 et 0.6 sont remplacés par”.“; etc …. For the element in row i, column j: Use the correlation matrix to assess the strength and direction of the relationship between two items or variables. This may have advantages when data with different dynamic ranges are combined in a PCT. I got 1.0 from Cramers V for two of my variable, however, I only got 0.2 when I used TheilU method, I am not sure how to interpret the relationship between the two variables? A correlation matrix is simply a table which displays the correlation coefficients for different variables. En bas de la diagonale : Les scatter plots sont montrés avec la courbe de tendance, En haut de la diagonale : Les coefficients de corrélation et les niveaux de significativité (étoiles) sont montrés. Remember that the models contain several independent variables. We consider the asymptotics of the second-order correlation function of the characteristic polynomial of a random matrix. Explained simply, correlation is a measure of the extent to which two underlyings move together (or apart) directionally. La matrice de corrélation peut être visualisée en utilisant un corrélogramme. Choose the desired output option (i.e., the location on the spreadsheet where the correlation matrix will appear). Before looking at the Morningstar correlation matrix, first let’s review what correlation means and how it can affect investment performance. Chaque niveau de significativité est associé à un symbole : p-values(0, 0.001, 0.01, 0.05, 0.1, 1) <=> symboles(“***”, “**”, “*”, “.”, " “). The fit of the data can be visually represented in a scatterplot. I have two question about correlation between Categorical variables from my dataset for predicting models. 3.1.0). The correlation matrix is a (K × K) square and symmetrical matrix whose ij entry is the correlation between the columns i and j of X. CFI's resources are the best way to learn Excel on your own terms. Abstract. Ri R explains the instantaneous correlation characteristics at the receiver side, and moreover that of the transmitter side is defined as Ri T = H HH due to the reciprocity of the channel. For example, in an exchangeable correlation matrix, all pairs of variables are modeled as having the same correlation, so all non-diagonal elements of the matrix are equal to each other. The matrix depicts the correlation between all the possible pairs of values in a table. Le résultat de la fonction cor() est une table de coefficients de corrélation entre chaque variable et les autres. Ces méthodes sont discutées dans les sections suivantes. A correlation matrix is simply a table which displays the correlationCorrelationA correlation is a statistical measure of the relationship between two variables. A correlation matrix can be displayed in a variety of forms. Correlation refers to the degree to which investments within a portfolio share similar risk and return characteristics. In most cases, the covariance matrix is known, and the correlation matrix derived from it as an aid in interpretation. For example, given $n$ cases X $p$ variables data, we could compute $p$X$p$ covariance matrix between the variables or $n$X$n$ … A correlation matrix is a square table showing the correlations between all pairs of variables. This research addresses the poorly researched relationship correlation between dissolved ions and fluorescence in a natural water environment. Choisissez l’une des 3 options ci-dessous : Cette analyse a été faite avec R (ver. There are other terms – such as common share, ordinary share, or voting share – that are equivalent to common stock. Introduction to scatterplots. PLoS ONE plos plosone PLOS ONE 1932-6203 Public Library of Science San Francisco, CA USA 10.1371/journal.pone.0241668 PONE-D-20-10478 Research Article Medicine and health sciences Public and occupational health Physical activity Medicine and health sciences Oncology Cancers and neoplasms Medicine and health sciences Oncology Cancer treatment Biology and life sciences … A genetic correlation is to be contrasted with environmental correlation between the environments affecting two traits (e.g. A correlation matrix is always symmetrical with the values in the lower left always being a mirror of the values in the upper right. Installer le package si vous ne l’avez pas déjà. If the items are not highly correlated, then the items may measure different characteristics or may not be clearly defined. Proof. The fit of the data can be visually represented in a scatterplot. It uses features like meter data, weather, locality etc. A droite du corrélogramme, la légende de couleurs montre les coefficients de corrélation et les couleurs correspondantes. The measure is best used in variables that demonstrate a linear relationship between each other. Notice that as the body size increases, so does the brain size. The variables are characteristics of motor vehicles. Join 350,600+ students who work for companies like Amazon, J.P. Morgan, and Ferrari. A solid understanding of statistics is crucially important in helping us better understand finance. I’d be very grateful if you’d help it spread by emailing it to a friend, or sharing it on Twitter, Facebook or Linked In. Correlation or covariance matrices are particular cases of such matrix. The required structure of the implied correlation matrix can be simplified by separating into clusters of similar firm characteristics • Empirically realized correlation matrices support existence of correlation clusters • Forward looking beta estimates are substantially different when refining the implied correlation matrix into realistic clusters. An investment portfolio is a set of financial assets owned by an investor that may include bonds, stocks, currencies, cash and cash equivalents, and commodities. Analyse de corrélation dans R. Comme vous le savez peut être, la fonction cor () de R peut être utilisée pour calculer la matrice de corrélation. Further, it refers to a group of investments that an investor uses in order to earn a profit while making sure that capital or assets are preserved. Pearson correlation is the one most commonly … For more informations on matrix completions problems we refer the reader to [Lau01, Joh90]. The best way to analyze the correlations between the stock prices of the abovementioned companies is to create a correlation matrix. Test de significativité de la corrélation (p-value), Une fonction simple pour formatter la matrice de corrélation, Visualisation d’une matrice de corrélation, Visualiser une matrice de corrélation avec la fonction symnum, Visualiser une matrice de corrélation avec un corrélogramme, Visualiser une matrice de corrélation avec des scatter plots, Visualiser une matrice de corrélation avec un heatmap, Logiciel en ligne pour analyser et visualiser une matrice de corrélation, visualiser une matrice de corrélation avec la fonction corrplot, logiciel en ligne de calcul de matrices de corrélation, logiciel de calcul de matrices de corrélation, Colonne 1 : Noms des lignes (variable 1 pour le test de corrélation), Colonne 2 : Nom des colonnes (variable 2 pour le test de corrélation), Colonne 3 : Les coefficients de corrélation, Colonne 4 : Les p-values des corrélations. The metric evaluates how much - to what extent - the variables change together.However, the metric does not assess the dependency between variables. In order to understand the necessary steps in creating a correlation matrix in Excel, let’s consider the following example. It is used to test if a statement regarding a population parameter is correct. A scatterplot is a type of data display that shows the relationship between two numerical variables. La fonction rcorr() du package Hmisc peut être utilisée pour calculer le niveau de significativité pour les corrélations de pearson et de spearman. Ri R explains the instantaneous correlation characteristics at the receiver side, and moreover that of the transmitter side is defined as Ri T = H HH due to the reciprocity of the channel. The total noise correlation matrix is the summation of the spectral noise correlation matrix, according to the Kramers‐Kronig relationship. L’objectif de cet article est de vous montrer comment calculer et visualiser une matrice de corrélation dans R. Comme vous le savez peut être, la fonction cor() de R peut être utilisée pour calculer la matrice de corrélation. Le type de corrélation peut être soit pearson ou spearman. Data Types Tab. Normalized output — Normalize cross-correlation output off (default) | on. (2-tailed) .000 N 20 20 NB The information is given twice. An independent variable is an input, assumption, or driver that is changed in order to assess its impact on a dependent variable (the outcome). and fiber/matrix ratio, as well as the flexural modulus and the amount of fiber was found. CFI offers the Financial Modeling & Valuation Analyst (FMVA)™FMVA® CertificationJoin 350,600+ students who work for companies like Amazon, J.P. Morgan, and Ferrari certification program for those looking to take their careers to the next level. Challenges when selecting structural analysis criteria Structural considerations are an established approach to manage complexity. Accéder au logiciel de calcul de matrices de corrélation. In statistics, correlation is a quantitative assessment that measures the strength of that relationship. Here’s an example. An electric characteristic image is created from this internal charge distribution image. Le logiciel peut être utilisé comme suit : Notez que, vous pouvez spécifier l’hypothèse alternative à utiliser pour le test de corrélation en cliquant sur le bouton “Options avancées”. Pearson-like characteristics and a sound statistical interpretation that works for interval, ordinal and categorical variable types alike. It will calculate the Pearson Product-Moment Correlation Coefficient for two sets of values. La matrice de corrélation est réarrangée en fonction des coefficients de corrélation en utilisant la méthode hclust. Based on the transmission model, it adopts the method of channel matrix decomposition and normalization to deduce the UAV-MIMO average channel correlation matrix and directly analyzes the influence of UAV multiantenna layout, flight distance, and the position of diffuser and other parameters on the characteristics of UAV-MIMO channel. Usage. Therefore, the correlation coefficients to be compared here are the fading correlation matrix shown in , the complex pattern correlation matrix as in , and the S-parameter based correlation matrix as in . It is time to turn to the general relationship between the characteristics of a portfolio and the characteristics of its components. As a financial analyst, the PEARSON function is useful, The Poisson Distribution is a tool used in probability theory statistics to predict the amount of variation from a known average rate of occurrence, within, Certified Banking & Credit Analyst (CBCA)™, Capital Markets & Securities Analyst (CMSA)™, Financial Modeling & Valuation Analyst (FMVA)™, Financial Modeling & Valuation Analyst (FMVA)®. tl.col (text label color) et tl.srt (text label string rotation) sont utilisés pour changer la couleur et la rotation des étiquettes de textes. Résultats : la sortie du logiciel comprend : La visualisation de la matrice de corrélation en corrélogramme, Un lien web pour exporter les résultats dans un fichier .txt, Corrélation <0 pour un test unilatéral inférieur, Corrélation > 0 pour un test unilatéral supérieur. It took me a long time to realize that it wasn’t a problem with my model, but rather a problem with … The measure is best used in variables that demonstrate a linear relationship between each other. Kendall rank correlation: Kendall rank correlation is a non-parametric test that measures the strength of dependence between two variables. A Equity Correlation Matrix denotes a measure (or a model) of dependency between different corporate entities that is inferred from the co-movement of the their equity values. However, the nonexistence of extreme correlations does not imply lack of collinearity. in a model. In other words, the spatial correlation matrix for the selected transmit or receive antennas is a submatrix of the transmit, receive, or combined spatial correlation matrix property value. We talk about correlation often at tastytrade.com because it is one of the foundations of Modern Portfolio Theory, i.e. A correlation matrix consists of rows and columns that show the variables. The rows and columns of the matrix display the variables in alphabetical order. We show that the known result for a random matrix from the Gaussian Unitary Ensemble essentially continues to hold for a general Hermitian Wigner matrix. The problem we have to deal with now is to define the yet unspecified correlations. A correlation close to 0 indicates no linear relationship between the variables.

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