  Link function is a key tool in the binomial regression model defined as
non-linear model under GLM approach. It transforms the nonlinear regression to
linear model with converting the interval (-\infty,\infty) to the probability
[0,1]. The binomial model with link functions (logit, probit, cloglog and
cauchy) are applied on the proportional of child malnutrition age 0-5 years in
each household level. Multiple Indicator Cluster survey (MICS)-2019, Bangladesh
was conducted by a joint cooperation of UNICEF and BBS . The survey covered
64000 households using two stage stratified sampling technique, where around
21000 household have children age 0-5 years. We use bi-variate analysis to find
the statistical association between response and sociodemographic features. In
the binary regression model, probit model provides the best result based on the
lowest standard error of covariates and goodness of fit test (deviance, AIC).
