1d:T65d,# Generate data for Generalised Linear Models under model misspecification scenario Function to simulate big data under Generalised Linear Models for the model misspecification scenario through any misspecification type. ```r GenModelMissGLMdata(N,X_Data,Misspecification,Beta,Var_Epsilon,family) ``` ## Arguments - `N`: the big data size - `X_Data`: a matrix for the covariate data - `Misspecification`: a vector of values for the misspecification - `Beta`: a vector for the model parameters, including the intercept and misspecification term - `Var_Epsilon`: variance value for the residuals - `family`: a character vector for "linear", "logistic" and "poisson" regression from Generalised Linear Models ## Returns The output of `GenModelMissGLMdata` gives a list of `Complete_Data` a matrix for Y,X and f(x) ## Details Big data for the Generalised Linear Models are generated by the "linear", "logistic" and "poisson" regression types under model misspecification. ## Examples ```r Beta<-c(-1,0.75,0.75,1); Var_Epsilon<-0.5; family <- "linear"; N<-10000 X_1 <- replicate(2,stats::runif(n=N,min = -1,max = 1)) Temp<-Rfast::rowprods(X_1) Misspecification <- (Temp-mean(Temp))/sqrt(mean(Temp^2)-mean(Temp)^2) X_Data <- cbind(X0=1,X_1); Results<-GenModelMissGLMdata(N,X_Data,Misspecification,Beta,Var_Epsilon,family) Results<-GenModelMissGLMdata(N,X_Data,Misspecification,Beta,Var_Epsilon=NULL,family="logistic") Results<-GenModelMissGLMdata(N,X_Data,Misspecification,Beta,Var_Epsilon=NULL,family="poisson") ``` ## References \insertRef adewale2009robustNeEDS4BigData \insertRef adewale2010robustNeEDS4BigData1e:T49a,M7.49933 0.25C3.49635 0.25 0.25 3.49593 0.25 7.50024C0.25 10.703 2.32715 13.4206 5.2081 14.3797C5.57084 14.446 5.70302 14.2222 5.70302 14.0299C5.70302 13.8576 5.69679 13.4019 5.69323 12.797C3.67661 13.235 3.25112 11.825 3.25112 11.825C2.92132 10.9874 2.44599 10.7644 2.44599 10.7644C1.78773 10.3149 2.49584 10.3238 2.49584 10.3238C3.22353 10.375 3.60629 11.0711 3.60629 11.0711C4.25298 12.1788 5.30335 1

GenModelMissGLMdata function