I want to state right at the beginning, I am not an authority on Amelia. In fact, I'm a newby. So this page will be very basic, but I think that it is accurate.

Matt Owen

# Barebones code for Amelia # Amelia does the multile imputations, but you need Zelig, or some other software and # a calculator and paper, to # do the analysis on the multiple imputations and then combine. # The following is very much a barebones approach. Sorry. # Good sources are # http://cran.r-project.org/web/packages/Amelia/vignettes/amelia.pdf # https://lists.gking.harvard.edu/pipermail/amelia/2015-January/001125.html library(Amelia) ### First set working directory data <- read.table(file = "cancer.dat", header = TRUE) attach(data) imputations <- amelia(data, m = 5, p2s = 1) save(imputations, file = "AmeliaImps.RData") write.amelia(obj = imputations, file.stem = "AmeliaImps") # The first saves it to a system file, and the second writes to a text file ### The following just does the regression on the first set of imputed data JUST A DEMO imp1run <- lm(totbpt ~ sexp + deptp + anxtp + depts + anxts , data = out$imputations$imp3) summary(imp1run)

The output, not shown, we show you how quickly the solution stabilized for each set of imputations, and then would then show the multiple regression using the first set of imputations.

But now that you have the data sets, you need to combine them in some way. A library called "Zelig" will do that for you, but it takes a bit of hunting to figure out just how to do that. See the references I gave above.

The necessary code using Zelig is shown below.The first set of printout shows you the combined result using Rubin's rules discussed elsewhere. These are not a terrific match with results you have seen elsewhere, but they are what we have.

### R CODE # Now to combine the sets of imputations install.packages("Zelig") library(Zelig) z.out<- zelig(totbpt ~ sexp + deptp + anxtp + depts + anxts, data = imputations, model = "ls") print(summary(z.out)) # If you read the bottom of that printout you come up with the following. They look almost # identical, but notice that the second puts z.out in parentheses. summary(z.out, subset = 1:5) # Generates the combined results print(summary(z.out)) # OUTPUT-part 1 Model: ls Number of multiply imputed data sets: 5 Combined results: Call: lm(formula = formula, weights = weights, model = F, data = data) Coefficients: Value Std. Error t-stat p-value (Intercept) -8.0055490 7.6899690 -1.0410379 3.064899e-01 sexp -2.8789677 2.6250305 -1.0967368 2.946007e-01 deptp 0.8979177 0.2132500 4.2106351 5.490913e-03 anxtp -0.1020967 0.1900241 -0.5372829 6.074100e-01 depts -0.3782091 0.1173556 -3.2227601 2.498085e-03 anxts 0.7269407 0.1224058 5.9387783 1.122492e-05 For combined results from datasets i to j, use summary(x, subset = i:j). For separate results, use print(summary(x), subset = i:j). # OUTPUT - part 2 # I am only showing the first 2 parts, but you can guess what the next three would look like. > print(summary(z.out), subset = 1:5) # Print results for eah imputation Model: ls Number of multiply imputed data sets: 5 Result with dataset 1 Call: lm(formula = formula, weights = weights, model = F, data = data) Residuals: Min 1Q Median 3Q Max -15.2326 -4.9405 0.2115 4.8614 14.2993 Coefficients: Estimate ß Std. Error t value Pr(>|t|) (Intercept) -12.1432 6.4620 -1.879 0.06373 . sexp -5.1171 1.8505 -2.765 0.00701 ** deptp 1.1165 0.1025 10.896 le 2e-16 *** anxtp -0.3442 0.1079 -3.191 0.00200 ** depts -0.3462 0.1166 -2.970 0.00389 ** anxts 0.8577 0.1023 8.388 1.1e-12 *** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 6.66 on 83 degrees of freedom Multiple R-squared: 0.7778, Adjusted R-squared: 0.7644 F-statistic: 58.1 on 5 and 83 DF, p-value: < 2.2e-16 Result with dataset 2 Call: lm(formula = formula, weights = weights, model = F, data = data) Residuals: Min 1Q Median 3Q Max -12.9335 -2.8692 0.3288 3.3194 9.1631 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -5.94504 4.97803 -1.194 0.2358 sexp -3.44021 1.36509 -2.520 0.0136 * deptp 0.83261 0.07284 11.431 le 2e-16 *** anxtp -0.03693 0.07551 -0.489 0.6261 depts -0.35933 0.08250 -4.355 3.77e-05 *** anxts 0.69852 0.07492 9.324 1.47e-14 *** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 4.768 on 83 degrees of freedom Multiple R-squared: 0.8186, Adjusted R-squared: 0.8077 F-statistic: 74.93 on 5 and 83 DF, p-value: < 2.2e-16That is pretty brief coverage. If you have something better, or a better example, I would love to see it.

dch: