Categories: Business Research

General Linear Model

&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad1" id&equals;"quads-ad1" style&equals;"float&colon;left&semi;margin&colon;0px 0px 0px 0&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;<p align&equals;"justify">General linear model is used to evaluate the statistical data in both the researches that are social as well as applied&period; General linear model provides the basis to the T Test&comma; analysis of covariance&comma; analysis of variance&comma; regression lines and also contributed in many of the variant methods like in factor analysis&comma; multidimensional scaling&comma; discriminate factor analysis correlation analysis and many others&period;&&num;160&semi; As the model is supportive because of general creation&comma; this model thus plays very significant role in social researches for the students&period;&&num;160&semi; To know about the entire knowledge and functions general linear model&comma; some technological statistical training is required&period;&&num;160&semi; To attain the actual understanding of general linear model&semi; one should first examine the case of two variables&period; <br &sol;>The Two Variables Linear Model<&sol;p>&NewLine;<p align&equals;"justify">In case of the two variables a line is defined by the reference of an equation that is&&num;160&semi;&&num;160&semi;&&num;160&semi;&&num;160&semi;&&num;160&semi;&&num;160&semi;&&num;160&semi;&&num;160&semi; <&sol;p>&NewLine;<blockquote>&NewLine;<p align&equals;"justify"><strong>Y&equals; b<sub>0<&sol;sub> &plus;b<sub>1<&sol;sub>X &plus; e <&sol;strong><&sol;p>&NewLine;<&sol;blockquote>&NewLine;<p align&equals;"justify">In the above equation&comma; the variable Y is the dependent variable that can be articulated in the manner as the function of the constant that is b0 and a slope b1 multiplied by the variable X&period;&&num;160&semi; e is denoting the possibilities of errors that occur in the evaluation&period;&&num;160&semi; Constant described in the equation is also being known as the intercept and the slope is referred to as the regression co efficient&period; For example&semi; in case of evaluating the gross percentage average of the students in the university&comma; with the intercept 1&comma; regression co efficient as 0&period;02 and X is considered as the IQ level that is 130 then the accumulated GPA is taken as 3&period;6&period; But in case of more than two variables that are the predictor variables like to evaluate the motivation or satisfaction level there exists multiple number of predictor variables&comma; then their exists multiple&&num;160&semi; regression coefficients&&num;160&semi; in the linear equation&period; That is stated in the following way&semi;<&sol;p>&NewLine;<blockquote>&NewLine;<p align&equals;"justify"><strong>Y&equals; b<sub>0 <&sol;sub>&plus; b<sub>1<&sol;sub>X<sub>1<&sol;sub>&plus;b<sub>2<&sol;sub>X<sub>2<&sol;sub>&plus;…&period;&period;&plus; b<sub>n<&sol;sub>X<sub>n <&sol;sub>&plus; e<sub><&sol;sub><&sol;strong><&sol;p>&NewLine;<&sol;blockquote>&NewLine;<p align&equals;"justify">In the above equation&comma; n indicates the number of predictors&period; All the regression coefficients in the equation presents their individuals effect as independent assistance on the dependent variable Y&period;&&num;160&semi; It is also examined that the two variables involvement that is X and Y shows a correlation with each other&comma; which in case if X1 is controlling the effect of all other independent variables&period;This type of correlation is referred to as partial correlation&period; In 1907&comma; the term partial correlation is used by Yule&period;<&sol;p>&NewLine;<h2 align&equals;"justify">The Extension of Regression to the General Linear Model<&sol;h2>&NewLine;<p align&equals;"justify">From the explained view of two variable cases&comma; the more retrieved form is stated in general linear model&period; The general linear model is different from the multiple regression models in case of the number of the dependent variables that can be examined&period; &lbrack;linkunit&rsqb;The general linear model steps further to the multivariate regression in order to examine the combination of the number of the dependent variable&period;&&num;160&semi; The general linear model in nature is a single dependent variable or also called as univariate model&period;&&num;160&semi; In comparison with the multiple regressions&comma; the general linear model evaluates the X variable with non linear independent values&period; <&sol;p>&NewLine;<h2 align&equals;"justify">References<&sol;h2>&NewLine;<p align&equals;"justify">• Rathouz&comma; P&period;J&period; &lpar;2009&rpar;&comma; &OpenCurlyDoubleQuote;generalized linear models with unspecified reference distribution&period;”Vol 10&lpar;2&rpar;&period; Pp&colon; 205-218&period;&&num;160&semi; <&sol;p>&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad2" id&equals;"quads-ad2" style&equals;"float&colon;none&semi;margin&colon;0px 0 0px 0&semi;text-align&colon;center&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;&NewLine;<p align&equals;"justify">• Trochim&comma; W&period;M&period;K&period; &lpar;2006&rpar;&comma; &OpenCurlyDoubleQuote;General Linear Model”&comma; research methods the knowledge base&period;&&num;160&semi; <&sol;p>&NewLine;<p align&equals;"justify">• Dobson&comma; A&period;J&period;&semi; Barnett&comma; A&period;G&period; &lpar;2008&rpar;&period; Introduction to Generalized Linear Models &lpar;3rd Ed&period;&rpar;&period; Boca Raton&comma; FL&colon; Chapman and Hall &NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad3" id&equals;"quads-ad3" style&equals;"float&colon;none&semi;margin&colon;0px&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;&NewLine;

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