The best replacement for logistic regression is linear regression.

The best alternatives to logistic regression are rated as following:
★★★★★  linear regression
★★★  discriminant analysis
★★★  multiple regression
★★  naive bayes
★★  decision tree
★★  svm
★  cox regression
★  logit
★  random forest
★  chi square
★  ols
★  regression
★  perceptron
★  survival analysis
★  lda
★  anova
★  classification tree
  poisson
  kaplan meier
  glm
  probit regression
  chi square test
  cart
  linear
  multivariate regression
  machine learning
  logistic regression
  multiple linear regression

Your alternative for logistic regression is not listed? Suggest!
Speaking about logistic regression, one probably shouldn't forget about spss.

Other search terms related to logistic regression and their ratings are:
★★★★★ spss
★ continuous variables
You have in mind a companion for logistic regression and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of logistic regression in all years. Click on graph for more.
logistic regression
linear regression
discriminant analysis