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Type 'q()' to quit R. > library("sandwich") > data("PetersenCL", package = "sandwich") > m <- lm(y ~ x, data = PetersenCL) > b <- glm((y > 0) ~ x, data = PetersenCL, family = binomial(link = "logit")) > > options(digits = 3) > > ## various versatile variance flavors > vcovCL(m, cluster = ~ firm, type = "HC0", cadjust = TRUE) (Intercept) x (Intercept) 4.49e-03 -6.47e-05 x -6.47e-05 2.56e-03 > vcovCL(m, cluster = ~ firm, type = "HC0", cadjust = FALSE) (Intercept) x (Intercept) 4.48e-03 -6.46e-05 x -6.46e-05 2.55e-03 > vcovCL(m, cluster = ~ firm, type = "HC1", cadjust = TRUE) (Intercept) x (Intercept) 4.49e-03 -6.47e-05 x -6.47e-05 2.56e-03 > vcovCL(m, cluster = ~ firm, type = "HC1", cadjust = FALSE) (Intercept) x (Intercept) 4.48e-03 -6.46e-05 x -6.46e-05 2.55e-03 > vcovCL(m, cluster = ~ firm, type = "HC2", cadjust = TRUE) (Intercept) x (Intercept) 4.49e-03 -6.59e-05 x -6.59e-05 2.57e-03 > vcovCL(m, cluster = ~ firm, type = "HC2", cadjust = FALSE) (Intercept) x (Intercept) 4.49e-03 -6.58e-05 x -6.58e-05 2.56e-03 > vcovCL(m, cluster = ~ firm, type = "HC3", cadjust = TRUE) (Intercept) x (Intercept) 4.51e-03 -6.73e-05 x -6.73e-05 2.58e-03 > vcovCL(m, cluster = ~ firm, type = "HC3", cadjust = FALSE) (Intercept) x (Intercept) 4.50e-03 -6.71e-05 x -6.71e-05 2.58e-03 > > vcovCL(m, cluster = ~ firm + year, type = "HC0", cadjust = TRUE) (Intercept) x (Intercept) 4.23e-03 -2.84e-05 x -2.84e-05 2.87e-03 > vcovCL(m, cluster = ~ firm + year, type = "HC0", cadjust = FALSE) (Intercept) x (Intercept) 4.17e-03 -3.08e-05 x -3.08e-05 2.75e-03 > vcovCL(m, cluster = ~ firm + year, type = "HC1", cadjust = TRUE) (Intercept) x (Intercept) 4.23e-03 -2.85e-05 x -2.85e-05 2.87e-03 > vcovCL(m, cluster = ~ firm + year, type = "HC1", cadjust = FALSE) (Intercept) x (Intercept) 4.17e-03 -3.08e-05 x -3.08e-05 2.75e-03 > vcovCL(m, cluster = ~ firm + year, type = "HC2", cadjust = TRUE) (Intercept) x (Intercept) 4.24e-03 -2.82e-05 x -2.82e-05 2.88e-03 > vcovCL(m, cluster = ~ firm + year, type = "HC2", cadjust = FALSE) (Intercept) x (Intercept) 4.17e-03 -3.07e-05 x -3.07e-05 2.76e-03 > vcovCL(m, cluster = ~ firm + year, type = "HC3", cadjust = TRUE) (Intercept) x (Intercept) 0.004312 -0.000025 x -0.000025 0.003015 > vcovCL(m, cluster = ~ firm + year, type = "HC3", cadjust = FALSE) (Intercept) x (Intercept) 0.004242 -0.000028 x -0.000028 0.002886 > > > ## comparison with multiwayvcov::cluster.vcov > if(!require("multiwayvcov")) q() Loading required package: multiwayvcov > all.equal( + vcovCL(m, cluster = ~ firm), + multiwayvcov::cluster.vcov(m, ~ firm) + ) [1] TRUE > all.equal( + vcovCL(m, cluster = ~ firm + year, multi0 = TRUE), + multiwayvcov::cluster.vcov(m, ~ firm + year) + ) [1] TRUE > all.equal( + vcovCL(m, cluster = ~ firm, type = "HC0", cadjust = FALSE), + multiwayvcov::cluster.vcov(m, ~ firm, df_correction = FALSE) + ) [1] TRUE > all.equal( + vcovCL(m, cluster = ~ firm + year, type = "HC0", cadjust = FALSE), + multiwayvcov::cluster.vcov(m, ~ firm + year, df_correction = FALSE) + ) [1] TRUE > > > ## comparison with BMlmSE snippet (https://github.com/kolesarm/Robust-Small-Sample-Standard-Errors, > ## Bell-McCaffrey standard errors as described in Imbens and Kolesar 2016) > > ## BMlmSE(m, clustervar = factor(PetersenCL$firm))$vcov > bellmc1 <- matrix(c(0.0044944872570532, -6.59291186924326e-05, -6.59291186924326e-05, 0.00256823604178553), nrow = 2) > rownames(bellmc1) <- colnames(bellmc1) <- c("(Intercept)", "x") > > (bellmc2 <- vcovCL(m, cluster = ~ firm, type = "HC2")) (Intercept) x (Intercept) 4.49e-03 -6.59e-05 x -6.59e-05 2.57e-03 > all.equal(bellmc1, bellmc2) [1] TRUE > > > ## comparison with Stata/MP 12.0 > ## regress y x, vce(cluster firm) > clm <- matrix(c(0.0044907, -0.00006474, -0.00006474, 0.00255993), nrow = 2) > > ## logit via brl (https://economics.mit.edu/faculty/angrist/data1/mhe/brl) > ## generate binary = (y > 0) > ## brl binary x, cluster(firm) logit > clb <- matrix(c(0.00358954, 0.00001531, 0.00001531, 0.00275766), nrow = 2) > rownames(clm) <- colnames(clm) <- rownames(clb) <- colnames(clb) <- c("(Intercept)", "x") > > all.equal(vcovCL(m, cluster = ~ firm), clm, tol = 1e-5) [1] TRUE > all.equal(vcovCL(b, cluster = ~ firm), clb, tol = 1e-5) [1] TRUE > > ## clustered HC2 for OLS and logit > hc2m <- matrix(c(0.00449449, -0.00006593, -0.00006593, 0.00256824), nrow = 2) > hc2b <- matrix(c(0.00359275, 0.000015, 0.000015, 0.00276326), nrow = 2) > rownames(hc2m) <- colnames(hc2m) <- rownames(hc2b) <- colnames(hc2b) <- c("(Intercept)", "x") > > all.equal(vcovCL(m, cluster = ~ firm, type = "HC2"), hc2m, tol = 1e-5) [1] TRUE > all.equal(vcovCL(b, cluster = ~ firm, type = "HC2"), hc2b, tol = 3e-4) [1] TRUE > > > ## more examples > > data("InstInnovation", package = "sandwich") > InstInnovation$institutions <- InstInnovation$institutions/100 > > ## ## exclucde Poisson for now: long computation time, some BLAS differences > ## n <- glm(cites ~ institutions, data = InstInnovation, family = poisson) > ## > ## vcovCL(n, cluster = ~ company, type = "HC0", cadjust = TRUE) > ## vcovCL(n, cluster = ~ company, type = "HC0", cadjust = FALSE) > ## vcovCL(n, cluster = ~ company, type = "HC1", cadjust = TRUE) > ## vcovCL(n, cluster = ~ company, type = "HC1", cadjust = FALSE) > ## vcovCL(n, cluster = ~ company, type = "HC2", cadjust = TRUE) > ## vcovCL(n, cluster = ~ company, type = "HC2", cadjust = FALSE) > ## vcovCL(n, cluster = ~ company, type = "HC3", cadjust = TRUE) > ## vcovCL(n, cluster = ~ company, type = "HC3", cadjust = FALSE) > ## > ## vcovCL(n, cluster = ~ company + year, type = "HC0", cadjust = TRUE) > ## vcovCL(n, cluster = ~ company + year, type = "HC0", cadjust = FALSE) > ## vcovCL(n, cluster = ~ company + year, type = "HC1", cadjust = TRUE) > ## vcovCL(n, cluster = ~ company + year, type = "HC1", cadjust = FALSE) > ## vcovCL(n, cluster = ~ company + year, type = "HC2", cadjust = TRUE) > ## vcovCL(n, cluster = ~ company + year, type = "HC2", cadjust = FALSE) > ## vcovCL(n, cluster = ~ company + year, type = "HC3", cadjust = TRUE) > ## vcovCL(n, cluster = ~ company + year, type = "HC3", cadjust = FALSE) > > > o <- lm(log(cites) ~ institutions, data = InstInnovation, subset = cites > 0) > > vcovCL(o, cluster = ~ company + year, type = "HC0", cadjust = TRUE, multi0 = TRUE) (Intercept) institutions (Intercept) 0.0230 -0.0284 institutions -0.0284 0.1524 > vcovCL(o, cluster = ~ company + year, type = "HC0", cadjust = TRUE, multi0 = FALSE) (Intercept) institutions (Intercept) 0.0230 -0.0284 institutions -0.0284 0.1524 > vcovCL(o, cluster = ~ company + year, type = "HC0", cadjust = FALSE, multi0 = TRUE) (Intercept) institutions (Intercept) 0.0217 -0.0273 institutions -0.0273 0.1400 > vcovCL(o, cluster = ~ company + year, type = "HC0", cadjust = FALSE, multi0 = FALSE) (Intercept) institutions (Intercept) 0.0217 -0.0273 institutions -0.0273 0.1400 > vcovCL(o, cluster = ~ company + year, type = "HC1", cadjust = TRUE, multi0 = TRUE) (Intercept) institutions (Intercept) 0.0231 -0.0284 institutions -0.0284 0.1524 > vcovCL(o, cluster = ~ company + year, type = "HC1", cadjust = TRUE, multi0 = FALSE) (Intercept) institutions (Intercept) 0.0231 -0.0284 institutions -0.0284 0.1524 > vcovCL(o, cluster = ~ company + year, type = "HC1", cadjust = FALSE, multi0 = TRUE) (Intercept) institutions (Intercept) 0.0217 -0.0273 institutions -0.0273 0.1400 > vcovCL(o, cluster = ~ company + year, type = "HC1", cadjust = FALSE, multi0 = FALSE) (Intercept) institutions (Intercept) 0.0217 -0.0273 institutions -0.0273 0.1400 > vcovCL(o, cluster = ~ company + year, type = "HC2", cadjust = TRUE, multi0 = TRUE) (Intercept) institutions (Intercept) 0.0239 -0.0293 institutions -0.0293 0.1517 > vcovCL(o, cluster = ~ company + year, type = "HC2", cadjust = TRUE, multi0 = FALSE) (Intercept) institutions (Intercept) 0.0239 -0.0293 institutions -0.0293 0.1517 > vcovCL(o, cluster = ~ company + year, type = "HC2", cadjust = FALSE, multi0 = TRUE) (Intercept) institutions (Intercept) 0.0225 -0.028 institutions -0.0280 0.139 > vcovCL(o, cluster = ~ company + year, type = "HC2", cadjust = FALSE, multi0 = FALSE) (Intercept) institutions (Intercept) 0.0225 -0.028 institutions -0.0280 0.139 > vcovCL(o, cluster = ~ company + year, type = "HC3", cadjust = TRUE, multi0 = TRUE) (Intercept) institutions (Intercept) 0.0266 -0.0317 institutions -0.0317 0.1650 > vcovCL(o, cluster = ~ company + year, type = "HC3", cadjust = TRUE, multi0 = FALSE) (Intercept) institutions (Intercept) 0.0266 -0.0317 institutions -0.0317 0.1650 > vcovCL(o, cluster = ~ company + year, type = "HC3", cadjust = FALSE, multi0 = TRUE) (Intercept) institutions (Intercept) 0.0249 -0.0302 institutions -0.0302 0.1512 > vcovCL(o, cluster = ~ company + year, type = "HC3", cadjust = FALSE, multi0 = FALSE) (Intercept) institutions (Intercept) 0.0249 -0.0302 institutions -0.0302 0.1512 > > > proc.time() user system elapsed 34.2 2.5 36.8