Teradata Package for R Function Reference | 17.00 - GLM - Teradata Package for R - Look here for syntax, methods and examples for the functions included in the Teradata Package for R.

GLM

Description

The generalized linear model (GLM) is an extension of the linear regression model that enables the linear equation to be related to the dependent variables by a link function. GLM performs linear regression analysis for distribution functions using a user-specified distribution family and link function. GLM selects the link function based upon the distribution family and the assumed nonlinear distribution of expected outcomes. The table in background describes the supported link function combinations.

Usage

  td_glm_mle (
      formula = NULL,
      family = "gaussian",
      linkfunction = "CANONICAL",
      data = NULL,
      weights = "1.0",
      threshold = 0.01,
      maxit = 25,
      step = FALSE,
      intercept = TRUE,
      data.sequence.column = NULL
  )

Arguments

formula	Required Argument. An object of class "formula". Specifies the model to be fitted. Only basic formula of the (col1 ~ col2 + col3 +...) form are supported and all variables must be from the same tbl_teradata object. The response should be column of type numeric or logical.
family	Optional Argument. Specifies the distribution exponential family. Default Value: "gaussian" Permitted Values: LOGISTIC, BINOMIAL, POISSON, GAUSSIAN, GAMMA, INVERSE_GAUSSIAN, NEGATIVE_BINOMIAL Types: character
linkfunction	Optional Argument. Specifies the canonical link functions (default link functions) and the link functions that are allowed. Default Value: "CANONICAL" Permitted Values: CANONICAL, IDENTITY, INVERSE, LOG, COMPLEMENTARY_LOG_LOG, SQUARE_ROOT, INVERSE_MU_SQUARED, LOGIT, PROBIT, CAUCHIT Types: character
data	Required Argument. Specifies the name of the tbl_teradata that contains the columns.
weights	Optional Argument. Specifies the name of an input tbl_teradata column that contains the weights to assign to responses. You can use non-NULL weights to indicate that different observations have different dispersions (with the weights being inversely proportional to the dispersions). Equivalently, when the weights are positive integers wi, each response yi is the mean of wi unit-weight observations. A binomial GLM uses prior weights to give the number of trials when the response is the proportion of successes. A Poisson GLM rarely uses weights. If the weight is less than the response value, then the function throws an exception. Therefore, if the response value is greater than 1 (the default weight), then you must specify a weight that is greater than or equal to the response value. Default Value: "1.0" Types: character
threshold	Optional Argument. Specifies the convergence threshold. Default Value: 0.01 Types: numeric
maxit	Optional Argument. Specifies the maximum number of iterations that the algorithm runs before quitting, if the convergence threshold is not met. Default Value: 25 Types: integer
step	Optional Argument. Specifies whether the function uses a step. If the function uses a step, then it runs with the GLM model that has the lowest Akaike information criterion (AIC) score, drops one predictor from the current predictor group, and repeats this process until no predictor remains. Default Value: FALSE Types: logical
intercept	Optional Argument. Specifies whether the function uses an intercept. For example, in B0+B1*X1+B2*X2+ ....+BpXp, the intercept is B0. Default Value: TRUE Types: logical
data.sequence.column	Optional Argument. Specifies the vector of column(s) that uniquely identifies each row of the input argument "data". The argument is used to ensure deterministic results for functions which produce results that vary from run to run. Types: character OR vector of Strings (character)

Value

Function returns an object of class "td_glm_mle" which is a named list containing objects of class "tbl_teradata".
Named list members can be referenced directly with the "$" operator using following names:

1. coefficients

2. output

Examples

  
    # Get the current context/connection
    con <- td_get_context()$connection
    
    # Load example data.
    loadExampleData("glm_example", "admissions_train", "housing_train")

    # Create object(s) of class "tbl_teradata".
    admissions_train <- tbl(con, "admissions_train")
    housing_train <- tbl(con, "housing_train")

    # Example 1 -
    td_glm_out1 <- td_glm_mle(formula = (admitted ~ stats + masters + gpa + programming),
                              family = "LOGISTIC",
                              linkfunction = "LOGIT",
                              data = admissions_train,
                              weights = "1",
                              threshold = 0.01,
                              maxit = 25,
                              step = FALSE,
                              intercept = TRUE
                              )

    # Example 2 -
    td_glm_out2 <- td_glm_mle(formula = (admitted ~ stats + masters + gpa + programming),
                              family = "LOGISTIC",
                              linkfunction = "LOGIT",
                              data = admissions_train,
                              weights = "1",
                              threshold = 0.01,
                              maxit = 25,
                              step = TRUE,
                              intercept = TRUE
                              )

    # Example 3 -
    td_glm_out3 <- td_glm_mle(formula = (price  ~ recroom  + lotsize  + stories  + garagepl + gashw
                                + bedrooms  + driveway  + airco  + homestyle + bathrms  + fullbase
                                + prefarea),
                              family = "GAUSSIAN",
                              linkfunction = "IDENTITY",
                              data = housing_train,
                              weights = "1",
                              threshold = 0.01,
                              maxit = 25,
                              step = FALSE,
                              intercept = TRUE
                              )