Extract pvalue from glm

glm, p-value, r

Solution

You want

coef(summary(fit))[,4]

which extracts the column vector of p values from the tabular output shown by `summary(fit)`. The p-values aren't actually computed until you run `summary()` on the model fit.

By the way, use extractor functions rather than delve into objects if you can:

fit$coefficients[2]

should be

coef(fit)[2]

If there aren't extractor functions, `str()` is your friend. It allows you to look at the structure of any object, which allows you to see what the object contains and how to extract it:

summ <- summary(fit)

> str(summ, max = 1)
List of 17
 $ call          : language glm(formula = counts ~ outcome + treatment, family = poisson())
 $ terms         :Classes 'terms', 'formula' length 3 counts ~ outcome + treatment
  .. ..- attr(*, "variables")= language list(counts, outcome, treatment)
  .. ..- attr(*, "factors")= int [1:3, 1:2] 0 1 0 0 0 1
  .. .. ..- attr(*, "dimnames")=List of 2
  .. ..- attr(*, "term.labels")= chr [1:2] "outcome" "treatment"
  .. ..- attr(*, "order")= int [1:2] 1 1
  .. ..- attr(*, "intercept")= int 1
  .. ..- attr(*, "response")= int 1
  .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
  .. ..- attr(*, "predvars")= language list(counts, outcome, treatment)
  .. ..- attr(*, "dataClasses")= Named chr [1:3] "numeric" "factor" "factor"
  .. .. ..- attr(*, "names")= chr [1:3] "counts" "outcome" "treatment"
 $ family        :List of 12
  ..- attr(*, "class")= chr "family"
 $ deviance      : num 5.13
 $ aic           : num 56.8
 $ contrasts     :List of 2
 $ df.residual   : int 4
 $ null.deviance : num 10.6
 $ df.null       : int 8
 $ iter          : int 4
 $ deviance.resid: Named num [1:9] -0.671 0.963 -0.17 -0.22 -0.956 ...
  ..- attr(*, "names")= chr [1:9] "1" "2" "3" "4" ...
 $ coefficients  : num [1:5, 1:4] 3.04 -4.54e-01 -2.93e-01 1.34e-15 1.42e-15 ...
  ..- attr(*, "dimnames")=List of 2
 $ aliased       : Named logi [1:5] FALSE FALSE FALSE FALSE FALSE
  ..- attr(*, "names")= chr [1:5] "(Intercept)" "outcome2" "outcome3" "treatment2" ...
 $ dispersion    : num 1
 $ df            : int [1:3] 5 4 5
 $ cov.unscaled  : num [1:5, 1:5] 0.0292 -0.0159 -0.0159 -0.02 -0.02 ...
  ..- attr(*, "dimnames")=List of 2
 $ cov.scaled    : num [1:5, 1:5] 0.0292 -0.0159 -0.0159 -0.02 -0.02 ...
  ..- attr(*, "dimnames")=List of 2
 - attr(*, "class")= chr "summary.glm"

Hence we note the `coefficients` component which we can extract using `coef()`, but other components don't have extractors, like `null.deviance`, which you can extract as `summ$null.deviance`.

Problem

I'm running many regressions and am only interested in the effect on the coefficient and p-value of one particular variable. So, in my script, I'd like to be able to just extract the p-value from the glm summary (getting the coefficient itself is easy). The only way I know of to view the p-value is using summary(myReg). Is there some other way? e.g.: ``` fit <- glm(y ~ x1 + x2, myData) x1Coeff <- fit$coefficients[2] # only returns coefficient, of course x1pValue <- ??? ``` I've tried treating `fit$coefficients` as a matrix, but am still unable to simply extract the p-value. Is it possible to do this? Thanks!

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