Model Misspecification and Linear Sandwiches
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.
Introduction
Traditional linear models, such as the output of the R function
lm()
, are often loaded with a set of strong assumptions.
Take univariate regression:
\[ Y = q+mX+\varepsilon. (\#eq:lm) \] This equation assumes that:
- The conditional mean \(\mathbb E(Y\vert X) = q + mX\), a linear function of \(X\).
- The conditional variance \(\mathbb {V}(Y \vert X)=\mathbb{V}(\varepsilon\vert X)\) is independent of \(X\).
- The conditional distribution \(Y\vert X\) is gaussian.
- In a set of measurements \(\left\{\left(X_i,Y_i\right)\right\}_{i = 1,\, \dots, \,N}\), \(Y_i\) and the set \(\left\{ X_j, Y_j\right\} _{j\neq i}\) are conditionally independent of each other, given the value of the corresponding regressor \(X_i\).1
The last assumption is satisfied in many practical situations, and we will take it here for granted2. What happens when the first three assumptions are violated (that is “frequently” to “almost always”, depending on context)?
A comprehensive discussion is provided by (Buja et al. 2019). These authors show that:
If the conditional mean \(\mathbb E (Y \vert X)\) is not linear (“first order misspecification”), then the Ordinary Least Squares (OLS) regression coefficients \(\hat \beta\) consistently estimate: \[ \beta \equiv \text{arg } \min _{\beta^\prime} \mathbb E((Y-X\beta^\prime)^2) (\#eq:target) \] which can be thought as the “best linear approximation of the response”3.
Both non-linearity in the sense of the previous point, and \(X\)-dependence in \(\mathbb{V}(Y \vert X)\) (“second order misspecification”) affect the sampling distribution of \(\hat \beta\) and, in particular, \(\mathbb{V}(\hat \beta)\), which is the relevant quantity for inference in the large-sample limit.
Both problems can be efficiently addressed through the so-called “sandwich” estimators for the covariance matrix of \(\hat \beta\) (White 1980), whose consistency is robust to both type of misspecification.
Details can be found in the mentioned reference. The rest of the post
illustrates with examples how to compute “sandwich” estimates in
R
, and why you may want to do so.
Fitting misspecified linear models in R
The {sandwich}
package (available on CRAN) provides estimators for the regression
coefficients’ variance-covariance matrix \(\mathbb V (\hat \beta)\) that are robust to
first and second order misspecification. These can be readily used with
lm
objects, as in the example below:
fit <- lm(mpg ~ wt, data = mtcars) stats::vcov(fit) # standard vcov (linear model trusting estimate) (Intercept) wt (Intercept) 3.525484 -1.005693 wt -1.005693 0.312594 sandwich::vcovHC(fit) # sandwich vcov (model-robust estimate) (Intercept) wt (Intercept) 5.889249 -1.7418581 wt -1.741858 0.5448011
It is important to note that both functions
stats::vcov()
and sandwich::vcovHC()
employ
the same point estimates of regression coefficients
to compute \(\mathbb V (\hat
\beta)\):
fit Call: lm(formula = mpg ~ wt, data = mtcars) Coefficients: (Intercept) wt 37.285 -5.344
The difference between these functions lies in the different assumptions they make on the linear model residuals, which leads to different estimates for \(\mathbb{V}(\hat \beta)\).
Effects of misspecification
This section illustrates some consequences of model misspecification through simulation. The examples use:
library(dplyr) library(ggplot2)
For convenience, we define some helpers to be used in the following examples. The function below returns random generators for the generic additive error model \(Y = f(X) + \varepsilon\), where the distribution of the noise term \(\varepsilon\) may in general depend on \(X\). Both \(X\) and \(Y\) are assumed here and below to be 1-dimensional.
rxy_fun <- function(rx, f, reps) { res <- function(n) { x <- rx(n) # X has marginal distribution 'rx' y <- f(x) + reps(x) # Y has conditional mean 'f(x)' and noise 'reps(x)' return(tibble(x = x, y = y)) } return(structure(res, class = "rxy")) } plot.rxy <- function(x, N = 1000, seed = 840) { set.seed(seed) ggplot(data = x(N), aes(x = x, y = y)) + geom_point(alpha = 0.3) + geom_smooth(method = "lm", se = FALSE) }
The following function simulates fitting the linear model
y ~ x
over multiple datasets generated according to a
function rxy()
.
lmsim <- function(rxy, N = 100, vcov = stats::vcov, B = 1e3, seed = 840) { set.seed(seed) res <- list(coef = matrix(nrow = B, ncol = 2), vcov = vector("list", B)) colnames(res$coef) <- c("(Intercept)", "x") class(res) <- "lmsim" for (b in 1:B) { .fit <- lm(y ~ ., data = rxy(N)) res$coef[b, ] <- coef(.fit) # Store intercept and slope in B x 2 matrix res$vcov[[b]] <- vcov(.fit) # Store vcov estimates in length B list. } return(res) } print.lmsim <- function(x) { cat("Simulation results:\n\n") cat("* Model-trusting vcov (average of vcov estimates):\n") print( avg_est_vcov <- Reduce("+", x$vcov) / length(x$vcov) ) cat("\n* Simulation-based vcov (vcov of coefficient estimates):\n") print( emp_vcov <- cov(x$coef)) cat("\n* Ratio (1st / 2nd):\n") print( avg_est_vcov / emp_vcov ) return(invisible(x)) }
The print method defined above shows a comparison of the covariance matrices obtained by:
- Averaging variance-covariance estimates from the various simulations, and
- Taking the variance-covariance matrix of regression coefficients obtained in the simulations.
The first one can be considered a “model-trusting” estimate (where
the actual “model” is specified by the vcov
argument of
lmsim()
, i.e. stats::vcov
and
sandwich::vcovHC
for the traditional and sandwich
estimates, respectively). The second one is a model-free
simulation-based estimate of the true \(\mathbb{V}(\hat \beta)\). The comparison
between the two4 provides a measure of the asymptotic bias
of the model-trusting estimate.
Example 1: First order misspecification
\[ Y = X ^ 2 + \varepsilon,\quad X \sim \text{Unif} (0,1),\qquad \varepsilon \sim \mathcal N (0,0.01) \]
rxy_01 <- rxy_fun( rx = runif, f = \(x) x^2, reps = \(x) rnorm(length(x), sd = .01) )
In this model, \(\mathbb E (Y \vert X)\) is not linear in \(X\) (first order misspecification), but the remaining assumptions of the linear model hold. This is how a typical linear fit of data generated from this model looks like:
plot(rxy_01, N = 300)
Here the effect of misspecification on the variance-covariance model trusting estimates is to underestimate true covariance values (by a factor as large as 40%!):
lmsim(rxy_01) $coef (Intercept) x [1,] -0.1492042 0.9848331 [2,] -0.1672965 0.9938356 [3,] -0.1741689 1.0133387 [4,] -0.1343376 0.9338718 [5,] -0.1522985 0.9771531 [6,] -0.1617622 0.9735575 [7,] -0.1850168 1.0479047 [8,] -0.1725564 1.0150846 [9,] -0.1519079 0.9797259 [10,] -0.1701713 1.0003935 [11,] -0.1776876 1.0118800 [12,] -0.1726425 0.9886916 [13,] -0.1530396 0.9900055 [14,] -0.1730381 1.0118988 [15,] -0.1552507 0.9641413 [16,] -0.1820366 1.0249481 [17,] -0.1379366 0.9518739 [18,] -0.1804744 1.0215438 [19,] -0.1596881 0.9879221 [20,] -0.1551352 0.9623821 [21,] -0.1487741 0.9924152 [22,] -0.1818460 1.0203085 [23,] -0.1390505 0.9452565 [24,] -0.1709407 1.0155853 [25,] -0.1615616 0.9701107 [26,] -0.1732873 1.0139951 [27,] -0.1584225 0.9845009 [28,] -0.1734871 0.9899266 [29,] -0.1499159 0.9979010 [30,] -0.1640850 1.0128128 [31,] -0.1584035 0.9897784 [32,] -0.1597918 0.9626873 [33,] -0.1713458 0.9876645 [34,] -0.1720940 1.0101869 [35,] -0.1561971 0.9963491 [36,] -0.1598678 0.9880583 [37,] -0.1959328 1.0326375 [38,] -0.1707688 0.9805662 [39,] -0.1730277 1.0205506 [40,] -0.1546160 0.9629526 [41,] -0.1609785 1.0096706 [42,] -0.1430278 0.9791670 [43,] -0.1481606 0.9704052 [44,] -0.1812934 1.0069203 [45,] -0.1624797 0.9954147 [46,] -0.2263972 1.1074251 [47,] -0.1460128 0.9668403 [48,] -0.1727529 0.9936889 [49,] -0.1551878 0.9793975 [50,] -0.1704082 0.9901274 [51,] -0.1322900 0.9406920 [52,] -0.1494835 1.0049753 [53,] -0.1631515 1.0072997 [54,] -0.1538023 0.9660115 [55,] -0.1730536 1.0106522 [56,] -0.1715305 1.0217686 [57,] -0.1738781 1.0340199 [58,] -0.1724760 1.0008378 [59,] -0.1393797 0.9725650 [60,] -0.1797192 1.0191456 [61,] -0.1609190 0.9752423 [62,] -0.1756820 1.0313139 [63,] -0.2147338 1.0747649 [64,] -0.1700265 1.0148409 [65,] -0.1890362 1.0486265 [66,] -0.1830241 1.0085895 [67,] -0.1742902 1.0161591 [68,] -0.1240727 0.8975975 [69,] -0.1510721 0.9566539 [70,] -0.1506778 0.9852273 [71,] -0.1697857 1.0207411 [72,] -0.1592230 1.0033666 [73,] -0.1783334 1.0296205 [74,] -0.1545865 0.9922272 [75,] -0.1592670 0.9836079 [76,] -0.1492947 0.9775454 [77,] -0.1817262 1.0356666 [78,] -0.1405081 0.9463266 [79,] -0.1802573 1.0244577 [80,] -0.2008736 1.0651887 [81,] -0.1444640 0.9915624 [82,] -0.2157661 1.0890302 [83,] -0.1969575 1.0552697 [84,] -0.1751485 1.0199630 [85,] -0.1739127 0.9967420 [86,] -0.1419502 0.9484813 [87,] -0.1914078 1.0264140 [88,] -0.1745678 0.9988856 [89,] -0.1574870 0.9861215 [90,] -0.1776541 1.0421064 [91,] -0.1650321 0.9969632 [92,] -0.1805436 1.0251750 [93,] -0.1774267 0.9925020 [94,] -0.1684783 1.0034823 [95,] -0.1622454 0.9629651 [96,] -0.1583735 0.9747504 [97,] -0.1475453 0.9814714 [98,] -0.1631432 0.9853327 [99,] -0.1974697 1.0387027 [100,] -0.1506777 0.9935551 [101,] -0.1973696 1.0532105 [102,] -0.1854300 1.0202853 [103,] -0.1743934 1.0070743 [104,] -0.1907374 1.0259785 [105,] -0.2079500 1.0360323 [106,] -0.1643661 1.0091753 [107,] -0.2026129 1.0608377 [108,] -0.1839888 1.0241692 [109,] -0.1700652 1.0326750 [110,] -0.1778231 1.0074247 [111,] -0.1634512 1.0011191 [112,] -0.1633072 1.0092457 [113,] -0.1804383 1.0267848 [114,] -0.1573277 1.0066673 [115,] -0.1345778 0.9275003 [116,] -0.1950365 1.0409511 [117,] -0.1761704 1.0138517 [118,] -0.1529808 0.9970803 [119,] -0.1386321 0.9238803 [120,] -0.1541518 0.9836478 [121,] -0.1775055 1.0246489 [122,] -0.1922580 1.0568006 [123,] -0.1779449 0.9919571 [124,] -0.1845176 1.0219276 [125,] -0.2156581 1.0853025 [126,] -0.1491147 0.9495424 [127,] -0.1551748 0.9757274 [128,] -0.1892170 1.0467927 [129,] -0.1430404 0.9542750 [130,] -0.1580013 0.9779809 [131,] -0.1438539 0.9703157 [132,] -0.1692766 1.0189915 [133,] -0.1693396 1.0114952 [134,] -0.1798591 1.0212778 [135,] -0.1964096 1.0509122 [136,] -0.1728542 1.0378895 [137,] -0.2090140 1.0760444 [138,] -0.1570607 1.0068291 [139,] -0.1733614 0.9977447 [140,] -0.1696596 0.9795989 [141,] -0.1580316 0.9790548 [142,] -0.1799208 1.0134743 [143,] -0.1445422 0.9518618 [144,] -0.1649267 0.9938346 [145,] -0.1725723 1.0238495 [146,] -0.1599091 0.9665131 [147,] -0.1923726 1.0330380 [148,] -0.1973959 1.0584268 [149,] -0.1463507 0.9644216 [150,] -0.1679247 1.0089701 [151,] -0.1750804 1.0313828 [152,] -0.1957230 1.0514504 [153,] -0.1673706 1.0119983 [154,] -0.1682516 1.0134721 [155,] -0.1671656 1.0050093 [156,] -0.1485667 0.9525622 [157,] -0.2018525 1.0410615 [158,] -0.2128565 1.0654944 [159,] -0.1935343 1.0306762 [160,] -0.1367284 0.9428695 [161,] -0.1406401 0.9776211 [162,] -0.1925020 1.0358385 [163,] -0.1666279 0.9908879 [164,] -0.1813802 1.0133285 [165,] -0.1500137 0.9724187 [166,] -0.1298679 0.9225217 [167,] -0.1830164 1.0301854 [168,] -0.1361425 0.9660179 [169,] -0.1786530 1.0037611 [170,] -0.1763439 1.0056544 [171,] -0.1847810 1.0225125 [172,] -0.1633224 0.9790834 [173,] -0.1632595 1.0048817 [174,] -0.1521565 0.9691901 [175,] -0.1501240 0.9641523 [176,] -0.1852384 1.0315249 [177,] -0.1447913 0.9302012 [178,] -0.1876313 1.0383718 [179,] -0.1658932 0.9864247 [180,] -0.1329441 0.9498161 [181,] -0.1747157 1.0154394 [182,] -0.1719564 1.0062216 [183,] -0.1721170 0.9974692 [184,] -0.1677693 1.0176596 [185,] -0.1698480 1.0130385 [186,] -0.2131021 1.1038004 [187,] -0.1520521 0.9524128 [188,] -0.2064924 1.0603008 [189,] -0.1682670 0.9910281 [190,] -0.1705248 1.0121078 [191,] -0.1545912 0.9830719 [192,] -0.1659990 0.9808501 [193,] -0.1653286 1.0106849 [194,] -0.1564038 0.9819012 [195,] -0.1576622 0.9910821 [196,] -0.1663288 1.0007883 [197,] -0.1251622 0.9413586 [198,] -0.1749056 1.0259633 [199,] -0.1726707 1.0073847 [200,] -0.1743689 1.0287916 [201,] -0.1763904 1.0105388 [202,] -0.1485123 1.0033058 [203,] -0.2117403 1.0559125 [204,] -0.1680369 1.0022455 [205,] -0.1844290 1.0293421 [206,] -0.1733969 1.0131757 [207,] -0.1232361 0.9085716 [208,] -0.1835077 0.9984445 [209,] -0.1801353 1.0461562 [210,] -0.1874809 1.0410110 [211,] -0.1512918 0.9598340 [212,] -0.1717485 1.0119172 [213,] -0.1693144 1.0184664 [214,] -0.1576858 0.9814377 [215,] -0.1555694 0.9852405 [216,] -0.1720713 0.9953904 [217,] -0.1549881 0.9673649 [218,] -0.1771679 1.0256871 [219,] -0.1211022 0.9105356 [220,] -0.1303083 0.9353758 [221,] -0.1632698 1.0045698 [222,] -0.1463544 0.9706859 [223,] -0.1446694 0.9729244 [224,] -0.1507870 0.9649947 [225,] -0.1860260 1.0327242 [226,] -0.1714667 1.0052976 [227,] -0.1607564 0.9804749 [228,] -0.1787528 1.0006837 [229,] -0.1565934 0.9884775 [230,] -0.1570377 0.9678156 [231,] -0.1596805 1.0008489 [232,] -0.1663957 1.0274998 [233,] -0.1454704 0.9364282 [234,] -0.1803635 1.0212843 [235,] -0.1781276 1.0155589 [236,] -0.1786070 1.0281397 [237,] -0.1460048 0.9497290 [238,] -0.1627864 0.9700011 [239,] -0.1625018 0.9903388 [240,] -0.1724135 0.9858393 [241,] -0.1884628 1.0240039 [242,] -0.1392754 0.9426642 [243,] -0.1910326 1.0432209 [244,] -0.1653891 0.9642670 [245,] -0.1766557 1.0069076 [246,] -0.1396503 0.9443030 [247,] -0.1747318 1.0180222 [248,] -0.1629340 0.9904048 [249,] -0.1586271 0.9946838 [250,] -0.1374020 0.9343580 [251,] -0.1337354 0.9228731 [252,] -0.1720418 1.0191555 [253,] -0.1607660 1.0019473 [254,] -0.1470943 0.9869176 [255,] -0.2036385 1.0454900 [256,] -0.1462811 0.9548304 [257,] -0.1741273 1.0304742 [258,] -0.1212441 0.9203724 [259,] -0.1646721 0.9912321 [260,] -0.2193445 1.0931664 [261,] -0.1680506 1.0227414 [262,] -0.1726858 1.0149215 [263,] -0.1964757 1.0567797 [264,] -0.1370500 0.9263424 [265,] -0.1604476 0.9962605 [266,] -0.1697485 1.0204291 [267,] -0.1757017 1.0036071 [268,] -0.1505578 0.9588509 [269,] -0.1776712 1.0317416 [270,] -0.1936083 1.0560750 [271,] -0.1662493 0.9846882 [272,] -0.1608127 0.9574892 [273,] -0.1557933 0.9761793 [274,] -0.1529221 0.9815921 [275,] -0.1717047 0.9917627 [276,] -0.1696310 0.9890217 [277,] -0.1680761 0.9969446 [278,] -0.1610546 0.9719813 [279,] -0.2044580 1.0539898 [280,] -0.1578984 0.9772140 [281,] -0.1583088 0.9931033 [282,] -0.1992136 1.0471801 [283,] -0.1874156 1.0328504 [284,] -0.1398905 0.9204460 [285,] -0.1753104 0.9916116 [286,] -0.1343638 0.9326845 [287,] -0.1538998 1.0060365 [288,] -0.1760144 1.0207676 [289,] -0.1388620 0.9637450 [290,] -0.1816857 1.0328560 [291,] -0.1687266 1.0156244 [292,] -0.1766941 1.0460703 [293,] -0.1527780 0.9473203 [294,] -0.1658256 0.9693212 [295,] -0.1622672 1.0045611 [296,] -0.1426372 0.9485901 [297,] -0.1674830 1.0046266 [298,] -0.1790086 1.0198079 [299,] -0.1397103 0.9316240 [300,] -0.1410791 0.9538880 [301,] -0.1520688 0.9678901 [302,] -0.1899214 1.0290082 [303,] -0.1504792 0.9637337 [304,] -0.1643493 1.0011869 [305,] -0.1331099 0.9419335 [306,] -0.1563723 0.9764814 [307,] -0.1628858 1.0001923 [308,] -0.1667569 0.9915934 [309,] -0.1529791 0.9741474 [310,] -0.1640690 1.0023149 [311,] -0.1972968 1.0506719 [312,] -0.2055455 1.0644095 [313,] -0.1472489 0.9832079 [314,] -0.1749494 1.0105527 [315,] -0.1460915 0.9906040 [316,] -0.1796034 1.0252346 [317,] -0.1863635 1.0323918 [318,] -0.2013777 1.0461774 [319,] -0.1608490 0.9924077 [320,] -0.1871862 1.0209730 [321,] -0.1799796 1.0290107 [322,] -0.1616459 0.9746576 [323,] -0.1365747 0.9443577 [324,] -0.1481246 0.9841136 [325,] -0.1764505 1.0284868 [326,] -0.2124155 1.0843911 [327,] -0.1631815 1.0070212 [328,] -0.1674173 0.9951164 [329,] -0.1839151 1.0392863 [330,] -0.1775244 0.9911864 [331,] -0.1534663 0.9559287 [332,] -0.1761140 1.0194389 [333,] -0.1493893 0.9898809 [334,] -0.1400167 0.9638405 [335,] -0.1544377 0.9882799 [336,] -0.1735703 1.0059490 [337,] -0.1626174 1.0025301 [338,] -0.1581419 0.9861419 [339,] -0.1730115 1.0124530 [340,] -0.1563788 0.9949382 [341,] -0.1752076 1.0172927 [342,] -0.1456022 0.9772894 [343,] -0.1458178 0.9463383 [344,] -0.1617022 0.9958572 [345,] -0.1934703 1.0433425 [346,] -0.1747770 0.9896024 [347,] -0.1639795 0.9949930 [348,] -0.1678332 1.0100608 [349,] -0.1852163 1.0114238 [350,] -0.1538768 0.9834078 [351,] -0.1353845 0.9513650 [352,] -0.1491467 0.9798387 [353,] -0.1538934 0.9834331 [354,] -0.1590341 0.9853227 [355,] -0.1762377 1.0152540 [356,] -0.1724302 1.0212485 [357,] -0.1730765 1.0278204 [358,] -0.1762056 1.0251000 [359,] -0.1443106 0.9685429 [360,] -0.1838002 1.0060400 [361,] -0.1601542 1.0121024 [362,] -0.2006681 1.0544025 [363,] -0.1905956 1.0448073 [364,] -0.1746614 1.0028538 [365,] -0.1429341 0.9602030 [366,] -0.1332995 0.9410687 [367,] -0.1732458 1.0167090 [368,] -0.1772064 0.9966349 [369,] -0.1613933 1.0168273 [370,] -0.1598497 0.9825419 [371,] -0.1731645 0.9792333 [372,] -0.1589952 0.9875491 [373,] -0.1803699 1.0404335 [374,] -0.1639934 0.9774678 [375,] -0.1981938 1.0829926 [376,] -0.1848798 1.0278461 [377,] -0.1591529 0.9696276 [378,] -0.1540566 0.9576214 [379,] -0.1496030 0.9681593 [380,] -0.1526642 0.9656279 [381,] -0.1519919 0.9465051 [382,] -0.1467272 1.0010838 [383,] -0.1933998 1.0302383 [384,] -0.1750050 0.9874161 [385,] -0.1934355 1.0295133 [386,] -0.1767963 1.0162017 [387,] -0.1655212 0.9774993 [388,] -0.1602204 0.9702900 [389,] -0.1629489 1.0188029 [390,] -0.1471399 0.9608970 [391,] -0.1516947 0.9795651 [392,] -0.1647744 0.9839899 [393,] -0.1403844 0.9421832 [394,] -0.1455642 0.9658617 [395,] -0.1644257 1.0115619 [396,] -0.1776377 1.0393471 [397,] -0.1423020 0.9488352 [398,] -0.1451218 0.9669633 [399,] -0.1630607 0.9765686 [400,] -0.1772829 1.0319042 [401,] -0.1714473 1.0155523 [402,] -0.1759374 1.0145959 [403,] -0.1717960 0.9921285 [404,] -0.1688242 0.9909987 [405,] -0.1742032 1.0256980 [406,] -0.1924090 1.0491860 [407,] -0.1606101 0.9854352 [408,] -0.1886108 1.0220202 [409,] -0.1640999 1.0339098 [410,] -0.1670646 1.0010701 [411,] -0.1512598 0.9829421 [412,] -0.1656334 1.0084764 [413,] -0.2319355 1.1059462 [414,] -0.1860179 1.0273115 [415,] -0.1836617 1.0316612 [416,] -0.1893308 1.0609001 [417,] -0.1683812 1.0380581 [418,] -0.1882677 1.0332824 [419,] -0.1666852 1.0230749 [420,] -0.1906051 1.0303469 [421,] -0.1272577 0.9391622 [422,] -0.1832768 1.0418033 [423,] -0.1639242 1.0109855 [424,] -0.1717638 1.0070975 [425,] -0.1851235 1.0217488 [426,] -0.1637616 1.0114757 [427,] -0.1646687 1.0051671 [428,] -0.1974336 1.0439915 [429,] -0.1544608 0.9858961 [430,] -0.1591520 0.9690628 [431,] -0.1378779 0.9397405 [432,] -0.2018736 1.0520390 [433,] -0.1627220 0.9810427 [434,] -0.1563623 0.9809379 [435,] -0.1737291 1.0221480 [436,] -0.1778790 1.0259345 [437,] -0.1824259 1.0367084 [438,] -0.1493481 0.9470339 [439,] -0.1648458 0.9797008 [440,] -0.1993512 1.0521120 [441,] -0.1654144 1.0016664 [442,] -0.1791919 1.0174099 [443,] -0.1552362 0.9981125 [444,] -0.1975430 1.0708319 [445,] -0.1845860 1.0263046 [446,] -0.1703373 1.0214447 [447,] -0.1651225 1.0064225 [448,] -0.1604619 0.9888946 [449,] -0.1629572 1.0036909 [450,] -0.1411458 0.9711872 [451,] -0.1492623 0.9524262 [452,] -0.1525755 0.9872662 [453,] -0.1583843 1.0009355 [454,] -0.1613948 1.0103769 [455,] -0.1726205 1.0133757 [456,] -0.1776529 1.0361211 [457,] -0.1549511 0.9733460 [458,] -0.1644912 0.9765970 [459,] -0.1698429 1.0141477 [460,] -0.1518459 0.9583189 [461,] -0.1597444 0.9985660 [462,] -0.2020200 1.0610200 [463,] -0.1644906 0.9996735 [464,] -0.1762210 1.0219647 [465,] -0.1746875 1.0185324 [466,] -0.1842452 1.0170850 [467,] -0.1483824 0.9810626 [468,] -0.1722440 0.9954208 [469,] -0.1686650 1.0147918 [470,] -0.1583760 0.9702287 [471,] -0.1548253 0.9519040 [472,] -0.1658124 0.9805355 [473,] -0.1559908 1.0021632 [474,] -0.1877197 1.0304377 [475,] -0.1517380 0.9663346 [476,] -0.1963543 1.0477421 [477,] -0.1347647 0.9332470 [478,] -0.1559051 0.9940187 [479,] -0.1574003 0.9874478 [480,] -0.1655461 0.9803286 [481,] -0.2091031 1.0678256 [482,] -0.1371682 0.9782834 [483,] -0.1488519 0.9716782 [484,] -0.1901993 1.0371395 [485,] -0.1922636 1.0191623 [486,] -0.1416392 0.9786147 [487,] -0.1742260 0.9901809 [488,] -0.1631468 1.0103272 [489,] -0.1662422 1.0075026 [490,] -0.2059139 1.0529112 [491,] -0.1514320 0.9668700 [492,] -0.1577031 0.9852640 [493,] -0.1404393 0.9796004 [494,] -0.1933371 1.0601222 [495,] -0.1480107 0.9525897 [496,] -0.1487271 0.9628361 [497,] -0.1457487 0.9800058 [498,] -0.1748343 1.0116212 [499,] -0.1502216 0.9798886 [500,] -0.1617883 0.9899248 [501,] -0.1685399 0.9847453 [502,] -0.1751998 1.0167621 [503,] -0.1629380 0.9713398 [504,] -0.1448361 0.9340023 [505,] -0.1852115 1.0150915 [506,] -0.1542837 0.9682160 [507,] -0.1445370 0.9678392 [508,] -0.1373736 0.9676656 [509,] -0.1611092 1.0137597 [510,] -0.1763189 1.0418742 [511,] -0.1604546 0.9924776 [512,] -0.1557349 0.9923413 [513,] -0.1513798 0.9507188 [514,] -0.1670458 0.9748645 [515,] -0.1625164 0.9941686 [516,] -0.1718279 1.0156340 [517,] -0.2081611 1.0532835 [518,] -0.1686042 0.9826433 [519,] -0.1662661 0.9882646 [520,] -0.1511909 0.9699344 [521,] -0.1496622 0.9760813 [522,] -0.1675826 0.9860461 [523,] -0.1825238 1.0171364 [524,] -0.1638214 0.9999989 [525,] -0.1675002 1.0088829 [526,] -0.1617926 1.0143691 [527,] -0.1772652 1.0405442 [528,] -0.1587352 0.9665975 [529,] -0.1764950 1.0243833 [530,] -0.1722536 1.0122191 [531,] -0.1952852 1.0341127 [532,] -0.1882613 1.0402475 [533,] -0.1507510 0.9891425 [534,] -0.1678755 1.0067188 [535,] -0.1495508 0.9626559 [536,] -0.1814368 1.0341737 [537,] -0.1671151 1.0370036 [538,] -0.1782330 0.9977254 [539,] -0.1348060 0.9317301 [540,] -0.1675131 0.9904308 [541,] -0.1551697 0.9681321 [542,] -0.1434871 0.9441940 [543,] -0.1679768 1.0176588 [544,] -0.2032349 1.0567472 [545,] -0.1771549 1.0191678 [546,] -0.1684843 0.9671250 [547,] -0.1762775 1.0065138 [548,] -0.1786540 1.0079423 [549,] -0.1662780 0.9873133 [550,] -0.1525166 0.9904999 [551,] -0.1274052 0.9341885 [552,] -0.1651266 0.9769491 [553,] -0.2286364 1.0927890 [554,] -0.1713042 1.0120447 [555,] -0.1617600 0.9752640 [556,] -0.2027779 1.0781270 [557,] -0.1670036 0.9868113 [558,] -0.1413008 0.9380650 [559,] -0.1705480 0.9940621 [560,] -0.1560125 0.9933747 [561,] -0.1484250 0.9787253 [562,] -0.1858214 1.0175327 [563,] -0.1566593 0.9687029 [564,] -0.1788654 1.0265095 [565,] -0.1853007 1.0166202 [566,] -0.1870312 1.0266187 [567,] -0.1530805 0.9595127 [568,] -0.1562347 0.9763236 [569,] -0.1555987 1.0165856 [570,] -0.1831615 1.0148082 [571,] -0.1338232 0.9232267 [572,] -0.1679564 1.0156595 [573,] -0.1420232 0.9783169 [574,] -0.1808888 1.0250316 [575,] -0.1951861 1.0477720 [576,] -0.1941867 1.0481691 [577,] -0.2005256 1.0496723 [578,] -0.1699151 1.0042354 [579,] -0.1484363 0.9638134 [580,] -0.1312993 0.9649715 [581,] -0.1786087 1.0283966 [582,] -0.1464789 0.9487697 [583,] -0.1516588 0.9637790 [584,] -0.1800341 1.0277178 [585,] -0.1587294 0.9933927 [586,] -0.1472190 0.9588895 [587,] -0.1933177 1.0468811 [588,] -0.1765220 1.0311988 [589,] -0.2005512 1.0523400 [590,] -0.1781814 1.0251695 [591,] -0.1847117 1.0506636 [592,] -0.1791433 1.0234875 [593,] -0.1688908 1.0211707 [594,] -0.1635361 0.9893729 [595,] -0.1458402 0.9696532 [596,] -0.1535643 0.9792625 [597,] -0.1719114 1.0010438 [598,] -0.2125892 1.0633527 [599,] -0.1338627 0.9397044 [600,] -0.1713360 1.0158642 [601,] -0.1518780 0.9830704 [602,] -0.1636650 1.0123966 [603,] -0.1905712 1.0426547 [604,] -0.1447507 0.9462498 [605,] -0.1349984 0.9350160 [606,] -0.2191392 1.0767502 [607,] -0.1425068 0.9513356 [608,] -0.1580720 0.9753103 [609,] -0.1595716 0.9637937 [610,] -0.1452258 0.9677169 [611,] -0.1672596 0.9999100 [612,] -0.1687702 0.9965429 [613,] -0.1805147 1.0069196 [614,] -0.1579784 0.9942001 [615,] -0.1679298 0.9905887 [616,] -0.1766420 1.0108589 [617,] -0.1458291 0.9539781 [618,] -0.1656688 0.9997082 [619,] -0.1628221 1.0014341 [620,] -0.1713662 1.0021297 [621,] -0.1807466 1.0102970 [622,] -0.1598079 0.9884515 [623,] -0.1616527 0.9735665 [624,] -0.1355007 0.9692574 [625,] -0.1489671 0.9824682 [626,] -0.1555061 0.9737635 [627,] -0.1618747 0.9813086 [628,] -0.1788812 1.0338383 [629,] -0.1685639 1.0080801 [630,] -0.1493876 0.9708043 [631,] -0.1712382 1.0008463 [632,] -0.1766644 1.0191049 [633,] -0.1726535 1.0195988 [634,] -0.1675192 1.0130145 [635,] -0.1631248 0.9866905 [636,] -0.1873533 1.0229955 [637,] -0.1792848 1.0336047 [638,] -0.1697295 1.0101568 [639,] -0.1600409 0.9753535 [640,] -0.1476547 0.9737326 [641,] -0.1538599 0.9829158 [642,] -0.1570526 0.9982655 [643,] -0.1472722 0.9701534 [644,] -0.1364126 0.9214779 [645,] -0.1632556 1.0187165 [646,] -0.1392851 0.9330240 [647,] -0.1703924 0.9998673 [648,] -0.1556696 0.9926522 [649,] -0.1628178 1.0122867 [650,] -0.1535733 0.9603809 [651,] -0.1565606 0.9850995 [652,] -0.1797052 1.0123931 [653,] -0.1734316 1.0231428 [654,] -0.1548116 0.9663024 [655,] -0.1619531 1.0044330 [656,] -0.1495817 0.9745117 [657,] -0.1475351 0.9708811 [658,] -0.1926620 1.0350768 [659,] -0.1474614 0.9585065 [660,] -0.1957503 1.0427317 [661,] -0.1904643 1.0519404 [662,] -0.1665203 1.0045657 [663,] -0.1671976 0.9975418 [664,] -0.1350762 0.9351060 [665,] -0.1571298 0.9882487 [666,] -0.1576999 0.9879112 [667,] -0.1587780 0.9878120 [668,] -0.2288528 1.1046212 [669,] -0.1687564 1.0143623 [670,] -0.1711738 1.0027978 [671,] -0.1636417 1.0010900 [672,] -0.1679963 1.0149155 [673,] -0.1500140 0.9469709 [674,] -0.1526697 0.9666676 [675,] -0.2014478 1.0606494 [676,] -0.1900278 1.0559671 [677,] -0.1731590 1.0197863 [678,] -0.1694862 1.0091412 [679,] -0.1782420 1.0006297 [680,] -0.1508433 0.9657267 [681,] -0.1642611 0.9856225 [682,] -0.1888091 1.0376300 [683,] -0.1557716 0.9716774 [684,] -0.1725693 0.9764710 [685,] -0.1306503 0.9566239 [686,] -0.2238160 1.0798830 [687,] -0.1710966 1.0008480 [688,] -0.1817065 1.0391926 [689,] -0.2040785 1.0618787 [690,] -0.1846843 1.0380653 [691,] -0.1848241 1.0222710 [692,] -0.1901947 1.0318519 [693,] -0.1847275 1.0068725 [694,] -0.1643994 0.9951821 [695,] -0.1733446 1.0238632 [696,] -0.1743296 1.0187351 [697,] -0.1650306 0.9956500 [698,] -0.1811416 1.0393581 [699,] -0.1527070 0.9754452 [700,] -0.1733603 1.0098816 [701,] -0.1296089 0.9241746 [702,] -0.1527343 0.9638182 [703,] -0.1648364 0.9924566 [704,] -0.1519100 0.9788388 [705,] -0.1786787 1.0363877 [706,] -0.1540888 0.9784825 [707,] -0.1583994 0.9733588 [708,] -0.1687695 0.9874280 [709,] -0.1520199 0.9681602 [710,] -0.1612795 1.0023845 [711,] -0.1740053 1.0032799 [712,] -0.1767997 1.0012946 [713,] -0.2059307 1.0672083 [714,] -0.1649132 0.9754305 [715,] -0.1716295 1.0006858 [716,] -0.1465037 0.9669635 [717,] -0.1739397 1.0332959 [718,] -0.1853083 1.0246302 [719,] -0.1696088 1.0041282 [720,] -0.1832836 1.0412373 [721,] -0.1578746 0.9616682 [722,] -0.1395677 0.9491548 [723,] -0.1795449 1.0281644 [724,] -0.1600841 0.9921358 [725,] -0.1755036 1.0180051 [726,] -0.1835943 1.0382237 [727,] -0.1704687 1.0058121 [728,] -0.1727617 1.0112607 [729,] -0.1517543 0.9788880 [730,] -0.1842188 1.0242701 [731,] -0.1814196 1.0399340 [732,] -0.1810863 1.0327259 [733,] -0.1733741 1.0090055 [734,] -0.1505847 0.9656915 [735,] -0.1807348 1.0333793 [736,] -0.1532179 1.0008235 [737,] -0.1732419 1.0186032 [738,] -0.1698789 1.0210290 [739,] -0.1832454 1.0223688 [740,] -0.1621740 1.0082716 [741,] -0.1596634 0.9794035 [742,] -0.1426661 0.9388407 [743,] -0.1364843 0.9443032 [744,] -0.1463393 0.9636380 [745,] -0.1682621 0.9775491 [746,] -0.2530750 1.1457103 [747,] -0.2098757 1.0698443 [748,] -0.1440268 0.9118303 [749,] -0.1555410 0.9967115 [750,] -0.1634915 0.9863952 [751,] -0.1997722 1.0550456 [752,] -0.1479898 1.0022548 [753,] -0.1765305 0.9851168 [754,] -0.1565375 0.9569802 [755,] -0.1435509 0.9544305 [756,] -0.1930833 1.0492719 [757,] -0.1911790 1.0235027 [758,] -0.1554037 0.9516403 [759,] -0.1630417 0.9916516 [760,] -0.1796998 1.0103775 [761,] -0.1825208 1.0344869 [762,] -0.1581981 0.9772490 [763,] -0.1702611 1.0173287 [764,] -0.1929183 1.0629570 [765,] -0.1551553 1.0071845 [766,] -0.1527289 0.9747012 [767,] -0.1907042 1.0263574 [768,] -0.1625962 1.0008712 [769,] -0.1690553 0.9922129 [770,] -0.1690660 1.0066326 [771,] -0.1657091 0.9985820 [772,] -0.1851144 1.0314272 [773,] -0.1934531 1.0666329 [774,] -0.1831468 1.0335231 [775,] -0.1856516 1.0156179 [776,] -0.1759367 1.0002087 [777,] -0.1364069 0.9403107 [778,] -0.1724859 1.0069063 [779,] -0.1898140 1.0311761 [780,] -0.1640088 0.9878747 [781,] -0.1586445 0.9885527 [782,] -0.1773531 1.0157007 [783,] -0.1757155 1.0069993 [784,] -0.1487975 0.9518397 [785,] -0.1713106 1.0075774 [786,] -0.2102871 1.0753210 [787,] -0.1715789 1.0220739 [788,] -0.1546487 0.9938174 [789,] -0.1669974 1.0119140 [790,] -0.1636053 0.9902988 [791,] -0.1381472 0.9763245 [792,] -0.1711231 1.0071661 [793,] -0.2055792 1.0642680 [794,] -0.1607430 0.9879502 [795,] -0.1485527 0.9707901 [796,] -0.1869104 1.0448167 [797,] -0.1432264 0.9497442 [798,] -0.1551319 0.9866224 [799,] -0.1616155 1.0065054 [800,] -0.1644768 1.0067670 [801,] -0.1636772 1.0026145 [802,] -0.1869406 1.0469519 [803,] -0.1631803 0.9832520 [804,] -0.1335775 0.9057236 [805,] -0.1886888 1.0262489 [806,] -0.1740655 1.0156793 [807,] -0.1561986 0.9820559 [808,] -0.2037931 1.0512346 [809,] -0.1741981 1.0344614 [810,] -0.1829535 1.0105330 [811,] -0.1896020 1.0421828 [812,] -0.1662236 1.0043542 [813,] -0.1792341 0.9928661 [814,] -0.1521315 0.9529703 [815,] -0.1440783 0.9701183 [816,] -0.1622361 0.9981414 [817,] -0.1805512 1.0191505 [818,] -0.1607819 0.9624290 [819,] -0.1420713 0.9380359 [820,] -0.1643421 1.0151680 [821,] -0.1664652 1.0137762 [822,] -0.1371331 0.9379677 [823,] -0.1866094 1.0364502 [824,] -0.1528968 0.9915065 [825,] -0.1616655 0.9835068 [826,] -0.1854498 1.0233392 [827,] -0.1696280 1.0055116 [828,] -0.1612802 0.9875495 [829,] -0.1544984 1.0139563 [830,] -0.1658774 1.0025752 [831,] -0.1642900 0.9978620 [832,] -0.1724980 1.0460019 [833,] -0.1452499 0.9690060 [834,] -0.1912204 1.0254658 [835,] -0.1800559 1.0091060 [836,] -0.1778441 1.0300128 [837,] -0.1811142 1.0332075 [838,] -0.1624216 0.9931996 [839,] -0.1731638 0.9761660 [840,] -0.1602737 0.9564707 [841,] -0.1753463 1.0081394 [842,] -0.1406723 0.9695324 [843,] -0.1789439 1.0020023 [844,] -0.1630913 0.9970695 [845,] -0.1752290 0.9999347 [846,] -0.1622860 0.9890234 [847,] -0.1842694 1.0110108 [848,] -0.1720268 0.9939975 [849,] -0.1738113 1.0088941 [850,] -0.2054332 1.0772987 [851,] -0.1732703 1.0133332 [852,] -0.1848207 1.0306298 [853,] -0.1688346 1.0205498 [854,] -0.1505759 0.9703343 [855,] -0.1735229 1.0295333 [856,] -0.1869735 1.0433806 [857,] -0.1764856 1.0062419 [858,] -0.1536178 1.0033897 [859,] -0.1718611 0.9955814 [860,] -0.1348844 0.9437839 [861,] -0.1892973 1.0193578 [862,] -0.1882183 1.0286911 [863,] -0.1715716 1.0047731 [864,] -0.1806253 1.0267766 [865,] -0.1694987 0.9915604 [866,] -0.1516368 0.9541116 [867,] -0.1750902 1.0185156 [868,] -0.1675485 1.0070588 [869,] -0.1386680 0.9501183 [870,] -0.1756657 1.0235620 [871,] -0.1666412 1.0029049 [872,] -0.1611926 1.0265492 [873,] -0.1634887 0.9804824 [874,] -0.1728598 1.0163720 [875,] -0.1161671 0.8971733 [876,] -0.1672444 0.9952969 [877,] -0.1719615 1.0070991 [878,] -0.1591452 1.0120340 [879,] -0.1352738 0.9641847 [880,] -0.1961992 1.0380459 [881,] -0.1721523 1.0142950 [882,] -0.1692813 1.0252897 [883,] -0.2005558 1.0516790 [884,] -0.1582444 0.9565389 [885,] -0.1908112 1.0369241 [886,] -0.1556667 0.9936260 [887,] -0.1470472 0.9454042 [888,] -0.2047328 1.0507258 [889,] -0.1515883 0.9789401 [890,] -0.1622987 0.9880549 [891,] -0.1600290 1.0129990 [892,] -0.1532964 0.9740795 [893,] -0.1667343 0.9814003 [894,] -0.1743407 1.0059649 [895,] -0.1597287 1.0041655 [896,] -0.1598353 0.9577908 [897,] -0.1747722 1.0166803 [898,] -0.1719665 1.0172177 [899,] -0.1894487 1.0339012 [900,] -0.1760002 1.0206094 [901,] -0.1765603 1.0003902 [902,] -0.1658552 1.0151482 [903,] -0.1500426 0.9729887 [904,] -0.1674547 1.0207010 [905,] -0.1760547 1.0151896 [906,] -0.1523639 0.9793935 [907,] -0.1750210 1.0191295 [908,] -0.1653355 1.0006676 [909,] -0.1786037 1.0285421 [910,] -0.1435760 0.9549144 [911,] -0.1658090 0.9870342 [912,] -0.1916508 1.0380478 [913,] -0.1565003 0.9805763 [914,] -0.1763433 1.0286954 [915,] -0.2367715 1.0984673 [916,] -0.1982123 1.0457465 [917,] -0.1697756 1.0029979 [918,] -0.1836452 1.0334605 [919,] -0.1726370 1.0330784 [920,] -0.1683219 1.0121307 [921,] -0.1796113 1.0171441 [922,] -0.1809396 1.0491079 [923,] -0.1945712 1.0215810 [924,] -0.1506410 0.9826792 [925,] -0.1800323 1.0367853 [926,] -0.1646551 1.0000640 [927,] -0.1559406 0.9898952 [928,] -0.1659323 1.0084276 [929,] -0.1593027 0.9883255 [930,] -0.1611286 0.9848828 [931,] -0.1484368 0.9611656 [932,] -0.1907006 1.0490519 [933,] -0.1735598 0.9850736 [934,] -0.1532961 0.9565456 [935,] -0.1874186 1.0352017 [936,] -0.1784458 1.0178469 [937,] -0.1751489 1.0095368 [938,] -0.1433234 0.9663845 [939,] -0.2081658 1.0826374 [940,] -0.1976953 1.0388597 [941,] -0.2006691 1.0424814 [942,] -0.1713905 0.9848923 [943,] -0.1579937 0.9845753 [944,] -0.1590341 0.9805592 [945,] -0.1624735 0.9972820 [946,] -0.1548385 0.9607173 [947,] -0.1490660 0.9653262 [948,] -0.1989202 1.0552705 [949,] -0.1568205 0.9723116 [950,] -0.1759609 1.0113120 [951,] -0.1549532 1.0071352 [952,] -0.1699052 1.0203925 [953,] -0.1299368 0.9368096 [954,] -0.1606578 0.9957644 [955,] -0.1700132 0.9745825 [956,] -0.1474418 0.9532069 [957,] -0.1648604 0.9976720 [958,] -0.1561832 0.9625276 [959,] -0.1692921 1.0117697 [960,] -0.1860920 1.0244146 [961,] -0.1843421 1.0329883 [962,] -0.1515894 0.9918073 [963,] -0.1714614 1.0269564 [964,] -0.1610199 1.0032958 [965,] -0.1682890 1.0271230 [966,] -0.1644756 1.0035257 [967,] -0.1600014 0.9744283 [968,] -0.2012037 1.0664731 [969,] -0.1527193 0.9848182 [970,] -0.1678397 0.9946171 [971,] -0.1437448 0.9350025 [972,] -0.1550885 0.9646264 [973,] -0.1694720 0.9833348 [974,] -0.1722868 1.0134666 [975,] -0.1311282 0.9359723 [976,] -0.1710689 0.9888027 [977,] -0.1860245 1.0053996 [978,] -0.1520098 0.9745218 [979,] -0.1393123 0.9583837 [980,] -0.1550963 0.9735025 [981,] -0.1686412 1.0256554 [982,] -0.1683808 1.0051600 [983,] -0.2038087 1.0597734 [984,] -0.1556640 0.9724131 [985,] -0.1518065 0.9794142 [986,] -0.1318841 0.9790193 [987,] -0.1602138 1.0004644 [988,] -0.1816916 1.0370025 [989,] -0.1794502 1.0468634 [990,] -0.1637645 0.9923290 [991,] -0.1704909 0.9907060 [992,] -0.1313033 0.9166676 [993,] -0.1597615 0.9924357 [994,] -0.1855906 1.0558936 [995,] -0.1635394 1.0259573 [996,] -0.1654512 0.9871150 [997,] -0.1473220 0.9665995 [998,] -0.1629013 1.0051578 [999,] -0.1484551 0.9735056 [1000,] -0.1589381 0.9996720 $vcov $vcov[[1]] (Intercept) x (Intercept) 0.0002450162 -0.0003571999 x -0.0003571999 0.0007101622 $vcov[[2]] (Intercept) x (Intercept) 0.0002101647 -0.0003215567 x -0.0003215567 0.0006591549 $vcov[[3]] (Intercept) x (Intercept) 0.0002179332 -0.0003286406 x -0.0003286406 0.0006650377 $vcov[[4]] (Intercept) x (Intercept) 0.0002243474 -0.0003426187 x -0.0003426187 0.0007126448 $vcov[[5]] (Intercept) x (Intercept) 0.0002424802 -0.0003616203 x -0.0003616203 0.0007216100 $vcov[[6]] (Intercept) x (Intercept) 0.0002018983 -0.0003285588 x -0.0003285588 0.0007254109 $vcov[[7]] (Intercept) x (Intercept) 0.0002418026 -0.0003476748 x -0.0003476748 0.0006596267 $vcov[[8]] (Intercept) x (Intercept) 0.0002539583 -0.0003714388 x -0.0003714388 0.0007134345 $vcov[[9]] (Intercept) x (Intercept) 0.000236378 -0.0003467000 x -0.000346700 0.0006871777 $vcov[[10]] (Intercept) x (Intercept) 0.0002281523 -0.0003493466 x -0.0003493466 0.0007117159 $vcov[[11]] (Intercept) x (Intercept) 0.0001860037 -0.0002866660 x -0.0002866660 0.0005870313 $vcov[[12]] (Intercept) x (Intercept) 0.0001934365 -0.0003160700 x -0.0003160700 0.0006875627 $vcov[[13]] (Intercept) x (Intercept) 0.0002374079 -0.0003455608 x -0.0003455608 0.0006967372 $vcov[[14]] (Intercept) x (Intercept) 0.0001993149 -0.0003017607 x -0.0003017607 0.0006219343 $vcov[[15]] (Intercept) x (Intercept) 0.0002088154 -0.0003303078 x -0.0003303078 0.0007030159 $vcov[[16]] (Intercept) x (Intercept) 0.0001985756 -0.0003047744 x -0.0003047744 0.0006298834 $vcov[[17]] (Intercept) x (Intercept) 0.0001786153 -0.0002802310 x -0.0002802310 0.0006402416 $vcov[[18]] (Intercept) x (Intercept) 0.0001911901 -0.0002959856 x -0.0002959856 0.0006142449 $vcov[[19]] (Intercept) x (Intercept) 0.0002123219 -0.0003271442 x -0.0003271442 0.0006854389 $vcov[[20]] (Intercept) x (Intercept) 0.0001978822 -0.0003179431 x -0.0003179431 0.0006909555 $vcov[[21]] (Intercept) x (Intercept) 0.0002382875 -0.0003540322 x -0.0003540322 0.0007567870 $vcov[[22]] (Intercept) x (Intercept) 0.0002573581 -0.0003869010 x -0.0003869010 0.0007538442 $vcov[[23]] (Intercept) x (Intercept) 0.0001808243 -0.0002899308 x -0.0002899308 0.0006639026 $vcov[[24]] (Intercept) x (Intercept) 0.0002280476 -0.0003344769 x -0.0003344769 0.0006520818 $vcov[[25]] (Intercept) x (Intercept) 0.0001923447 -0.0003103562 x -0.0003103562 0.0006683000 $vcov[[26]] (Intercept) x (Intercept) 0.0002503819 -0.0003698259 x -0.0003698259 0.0007203578 $vcov[[27]] (Intercept) x (Intercept) 0.0002131530 -0.0003224128 x -0.0003224128 0.0006617047 $vcov[[28]] (Intercept) x (Intercept) 0.0001758063 -0.0002865502 x -0.0002865502 0.0006190637 $vcov[[29]] (Intercept) x (Intercept) 0.0002368937 -0.0003380764 x -0.0003380764 0.0006633968 $vcov[[30]] (Intercept) x (Intercept) 0.0002359442 -0.0003479580 x -0.0003479580 0.0007011781 $vcov[[31]] (Intercept) x (Intercept) 0.0002225926 -0.0003473768 x -0.0003473768 0.0007579507 $vcov[[32]] (Intercept) x (Intercept) 0.0002014779 -0.0003033437 x -0.0003033437 0.0005656145 $vcov[[33]] (Intercept) x (Intercept) 0.0002259112 -0.0003459837 x -0.0003459837 0.0006804181 $vcov[[34]] (Intercept) x (Intercept) 0.0002007661 -0.0003037831 x -0.0003037831 0.0006177833 $vcov[[35]] (Intercept) x (Intercept) 0.0002399043 -0.0003434288 x -0.0003434288 0.0006616459 $vcov[[36]] (Intercept) x (Intercept) 0.0002257102 -0.0003377113 x -0.0003377113 0.0006720374 $vcov[[37]] (Intercept) x (Intercept) 0.0002493569 -0.0003866623 x -0.0003866623 0.0007669480 $vcov[[38]] (Intercept) x (Intercept) 0.0002575960 -0.0003989763 x -0.0003989763 0.0007887240 $vcov[[39]] (Intercept) x (Intercept) 0.0002171891 -0.0003219332 x -0.0003219332 0.0006561724 $vcov[[40]] (Intercept) x (Intercept) 0.0002361582 -0.0003686105 x -0.0003686105 0.0007621286 $vcov[[41]] (Intercept) x (Intercept) 0.0002308098 -0.0003412070 x -0.0003412070 0.0007019272 $vcov[[42]] (Intercept) x (Intercept) 0.0002314122 -0.0003244172 x -0.0003244172 0.0005983842 $vcov[[43]] (Intercept) x (Intercept) 0.0002205026 -0.0003343660 x -0.0003343660 0.0007098778 $vcov[[44]] (Intercept) x (Intercept) 0.0002146571 -0.0003312574 x -0.0003312574 0.0006543200 $vcov[[45]] (Intercept) x (Intercept) 0.0002226960 -0.0003324958 x -0.0003324958 0.0006618336 $vcov[[46]] (Intercept) x (Intercept) 0.0002981846 -0.0004091152 x -0.0004091152 0.0006849014 $vcov[[47]] (Intercept) x (Intercept) 0.0002483760 -0.0003613474 x -0.0003613474 0.0006912999 $vcov[[48]] (Intercept) x (Intercept) 0.0002381058 -0.0003597257 x -0.0003597257 0.0006968654 $vcov[[49]] (Intercept) x (Intercept) 0.0002052974 -0.0003199494 x -0.0003199494 0.0006912629 $vcov[[50]] (Intercept) x (Intercept) 0.0002125383 -0.0003427123 x -0.0003427123 0.0007469749 $vcov[[51]] (Intercept) x (Intercept) 0.0001617536 -0.0002552243 x -0.0002552243 0.0005980651 $vcov[[52]] (Intercept) x (Intercept) 0.0002059365 -0.0002966340 x -0.0002966340 0.0006124327 $vcov[[53]] (Intercept) x (Intercept) 0.0002257743 -0.0003243365 x -0.0003243365 0.0006142709 $vcov[[54]] (Intercept) x (Intercept) 0.0001983986 -0.0003065649 x -0.0003065649 0.0006387635 $vcov[[55]] (Intercept) x (Intercept) 0.0002245108 -0.0003357579 x -0.0003357579 0.0006660109 $vcov[[56]] (Intercept) x (Intercept) 0.0002329098 -0.0003292142 x -0.0003292142 0.0006039095 $vcov[[57]] (Intercept) x (Intercept) 0.0002459754 -0.0003454338 x -0.0003454338 0.0006375625 $vcov[[58]] (Intercept) x (Intercept) 0.0002033512 -0.0003122884 x -0.0003122884 0.0006302340 $vcov[[59]] (Intercept) x (Intercept) 0.0002436110 -0.0003567121 x -0.0003567121 0.0007375679 $vcov[[60]] (Intercept) x (Intercept) 0.0002126954 -0.0003261601 x -0.0003261601 0.0006706732 $vcov[[61]] (Intercept) x (Intercept) 0.0002201584 -0.0003344318 x -0.0003344318 0.0006557701 $vcov[[62]] (Intercept) x (Intercept) 0.0002353309 -0.0003429726 x -0.0003429726 0.0006707653 $vcov[[63]] (Intercept) x (Intercept) 0.0003099999 -0.0004394909 x -0.0004394909 0.0007577738 $vcov[[64]] (Intercept) x (Intercept) 0.0002424217 -0.0003531893 x -0.0003531893 0.0006808625 $vcov[[65]] (Intercept) x (Intercept) 0.0002649939 -0.0003753590 x -0.0003753590 0.0006745251 $vcov[[66]] (Intercept) x (Intercept) 0.0002117032 -0.0003223112 x -0.0003223112 0.0006174587 $vcov[[67]] (Intercept) x (Intercept) 0.0002859667 -0.0004025747 x -0.0004025747 0.0007074014 $vcov[[68]] (Intercept) x (Intercept) 0.0001885618 -0.0003048759 x -0.0003048759 0.0006873029 $vcov[[69]] (Intercept) x (Intercept) 0.0002286301 -0.0003573321 x -0.0003573321 0.0007436468 $vcov[[70]] (Intercept) x (Intercept) 0.0002192830 -0.0003248851 x -0.0003248851 0.0006704198 $vcov[[71]] (Intercept) x (Intercept) 0.0002572365 -0.0003644810 x -0.0003644810 0.0006722963 $vcov[[72]] (Intercept) x (Intercept) 0.0002060473 -0.0003020002 x -0.0003020002 0.0006111266 $vcov[[73]] (Intercept) x (Intercept) 0.0002454201 -0.0003747027 x -0.0003747027 0.0007788887 $vcov[[74]] (Intercept) x (Intercept) 0.0001887984 -0.0002827344 x -0.0002827344 0.0005903475 $vcov[[75]] (Intercept) x (Intercept) 0.0002351497 -0.0003496724 x -0.0003496724 0.0006806999 $vcov[[76]] (Intercept) x (Intercept) 0.0002422317 -0.0003597231 x -0.0003597231 0.0007344001 $vcov[[77]] (Intercept) x (Intercept) 0.0002405540 -0.0003502157 x -0.0003502157 0.0006757874 $vcov[[78]] (Intercept) x (Intercept) 0.0001827395 -0.0002862686 x -0.0002862686 0.0006332658 $vcov[[79]] (Intercept) x (Intercept) 0.0002105760 -0.0003132416 x -0.0003132416 0.0006121368 $vcov[[80]] (Intercept) x (Intercept) 0.0002519315 -0.0003602858 x -0.0003602858 0.0006545508 $vcov[[81]] (Intercept) x (Intercept) 0.0001990903 -0.0002869886 x -0.0002869886 0.0005908917 $vcov[[82]] (Intercept) x (Intercept) 0.0002867552 -0.0004018213 x -0.0004018213 0.0006944530 $vcov[[83]] (Intercept) x (Intercept) 0.0002592180 -0.0003728457 x -0.0003728457 0.0006803025 $vcov[[84]] (Intercept) x (Intercept) 0.0002338355 -0.0003465234 x -0.0003465234 0.0006818156 $vcov[[85]] (Intercept) x (Intercept) 0.0002573630 -0.0003908159 x -0.0003908159 0.0007643443 $vcov[[86]] (Intercept) x (Intercept) 0.0002002175 -0.0003098824 x -0.0003098824 0.0006583925 $vcov[[87]] (Intercept) x (Intercept) 0.0002299773 -0.0003551953 x -0.0003551953 0.0007036858 $vcov[[88]] (Intercept) x (Intercept) 0.0002477108 -0.0003821360 x -0.0003821360 0.0007661519 $vcov[[89]] (Intercept) x (Intercept) 0.0002257071 -0.0003448587 x -0.0003448587 0.0007245721 $vcov[[90]] (Intercept) x (Intercept) 0.0002269427 -0.0003154283 x -0.0003154283 0.0005756842 $vcov[[91]] (Intercept) x (Intercept) 0.0001738461 -0.0002639630 x -0.0002639630 0.0005422297 $vcov[[92]] (Intercept) x (Intercept) 0.0002445909 -0.0003554919 x -0.0003554919 0.0006619345 $vcov[[93]] (Intercept) x (Intercept) 0.0001817574 -0.0002944620 x -0.0002944620 0.0006208995 $vcov[[94]] (Intercept) x (Intercept) 0.0002562979 -0.0003865247 x -0.0003865247 0.0007755101 $vcov[[95]] (Intercept) x (Intercept) 0.0002214488 -0.0003517722 x -0.0003517722 0.0007276381 $vcov[[96]] (Intercept) x (Intercept) 0.0002200205 -0.0003458114 x -0.0003458114 0.0007415592 $vcov[[97]] (Intercept) x (Intercept) 0.0001703775 -0.0002556548 x -0.0002556548 0.0005466312 $vcov[[98]] (Intercept) x (Intercept) 0.0002144528 -0.0003307649 x -0.0003307649 0.0006854330 $vcov[[99]] (Intercept) x (Intercept) 0.0002755283 -0.0004134961 x -0.0004134961 0.0007874229 $vcov[[100]] (Intercept) x (Intercept) 0.0002462220 -0.0003641745 x -0.0003641745 0.0007608431 $vcov[[101]] (Intercept) x (Intercept) 0.0002894883 -0.0004282568 x -0.0004282568 0.0008199671 $vcov[[102]] (Intercept) x (Intercept) 0.0002617580 -0.0004002256 x -0.0004002256 0.0007910493 $vcov[[103]] (Intercept) x (Intercept) 0.0002018273 -0.0003026911 x -0.0003026911 0.0005931943 $vcov[[104]] (Intercept) x (Intercept) 0.0002673874 -0.0004035133 x -0.0004035133 0.0007630534 $vcov[[105]] (Intercept) x (Intercept) 0.0002522805 -0.0003893157 x -0.0003893157 0.0007319531 $vcov[[106]] (Intercept) x (Intercept) 0.0002410740 -0.0003549662 x -0.0003549662 0.0007164527 $vcov[[107]] (Intercept) x (Intercept) 0.0002130826 -0.0003109011 x -0.0003109011 0.0005779572 $vcov[[108]] (Intercept) x (Intercept) 0.0002422422 -0.0003562611 x -0.0003562611 0.0006696448 $vcov[[109]] (Intercept) x (Intercept) 0.0002202304 -0.0003212298 x -0.0003212298 0.0006495960 $vcov[[110]] (Intercept) x (Intercept) 0.0001788101 -0.0002806163 x -0.0002806163 0.0005845040 $vcov[[111]] (Intercept) x (Intercept) 0.0002343651 -0.0003420091 x -0.0003420091 0.0006576039 $vcov[[112]] (Intercept) x (Intercept) 0.0001847849 -0.0002676011 x -0.0002676011 0.0005262390 $vcov[[113]] (Intercept) x (Intercept) 0.0002446286 -0.0003563524 x -0.0003563524 0.0006764532 $vcov[[114]] (Intercept) x (Intercept) 0.0002730768 -0.0003990804 x -0.0003990804 0.0008235303 $vcov[[115]] (Intercept) x (Intercept) 0.0001971983 -0.0003094724 x -0.0003094724 0.0006610469 $vcov[[116]] (Intercept) x (Intercept) 0.0002653922 -0.0003985997 x -0.0003985997 0.0007691242 $vcov[[117]] (Intercept) x (Intercept) 0.0002345479 -0.0003650334 x -0.0003650334 0.0007686095 $vcov[[118]] (Intercept) x (Intercept) 0.0002056989 -0.0002990698 x -0.0002990698 0.0005975572 $vcov[[119]] (Intercept) x (Intercept) 0.0001699568 -0.000275687 x -0.0002756870 0.000607975 $vcov[[120]] (Intercept) x (Intercept) 0.0001905824 -0.0002876883 x -0.0002876883 0.0005990373 $vcov[[121]] (Intercept) x (Intercept) 0.0002247386 -0.0003313644 x -0.0003313644 0.0006376478 $vcov[[122]] (Intercept) x (Intercept) 0.0002431357 -0.0003519575 x -0.0003519575 0.0006712105 $vcov[[123]] (Intercept) x (Intercept) 0.0002191420 -0.0003382722 x -0.0003382722 0.0006562387 $vcov[[124]] (Intercept) x (Intercept) 0.0002507173 -0.0003835640 x -0.0003835640 0.0007662279 $vcov[[125]] (Intercept) x (Intercept) 0.0002805586 -0.0003996150 x -0.0003996150 0.0007091647 $vcov[[126]] (Intercept) x (Intercept) 0.0002048761 -0.0003220356 x -0.0003220356 0.0006759125 $vcov[[127]] (Intercept) x (Intercept) 0.0002423591 -0.0003615057 x -0.0003615057 0.0007128238 $vcov[[128]] (Intercept) x (Intercept) 0.0002094898 -0.0003083388 x -0.0003083388 0.0005910285 $vcov[[129]] (Intercept) x (Intercept) 0.0001898640 -0.0002910785 x -0.0002910785 0.0006199379 $vcov[[130]] (Intercept) x (Intercept) 0.0001868736 -0.0002982931 x -0.0002982931 0.0006610336 $vcov[[131]] (Intercept) x (Intercept) 0.0001889830 -0.0002916945 x -0.0002916945 0.0006507766 $vcov[[132]] (Intercept) x (Intercept) 0.0002540694 -0.0003659039 x -0.0003659039 0.0007056808 $vcov[[133]] (Intercept) x (Intercept) 0.0002504997 -0.0003744482 x -0.0003744482 0.0007444022 $vcov[[134]] (Intercept) x (Intercept) 0.0002291392 -0.0003429455 x -0.0003429455 0.0006703156 $vcov[[135]] (Intercept) x (Intercept) 0.0002453927 -0.0003628757 x -0.0003628757 0.0006932502 $vcov[[136]] (Intercept) x (Intercept) 0.0002763340 -0.0003706421 x -0.0003706421 0.0006285153 $vcov[[137]] (Intercept) x (Intercept) 0.0002945632 -0.0004138236 x -0.0004138236 0.0007259292 $vcov[[138]] (Intercept) x (Intercept) 0.0002956886 -0.0004121747 x -0.0004121747 0.0007555904 $vcov[[139]] (Intercept) x (Intercept) 0.0002153086 -0.0003302475 x -0.0003302475 0.0006630350 $vcov[[140]] (Intercept) x (Intercept) 0.0002024908 -0.0003207979 x -0.0003207979 0.0006589786 $vcov[[141]] (Intercept) x (Intercept) 0.0002090617 -0.0003292443 x -0.0003292443 0.0007126293 $vcov[[142]] (Intercept) x (Intercept) 0.0001815570 -0.0002808153 x -0.0002808153 0.0005731224 $vcov[[143]] (Intercept) x (Intercept) 0.0002450905 -0.0003716943 x -0.0003716943 0.0007503414 $vcov[[144]] (Intercept) x (Intercept) 0.0002745943 -0.0004092528 x -0.0004092528 0.0007966335 $vcov[[145]] (Intercept) x (Intercept) 0.0002346822 -0.0003459856 x -0.0003459856 0.0006900651 $vcov[[146]] (Intercept) x (Intercept) 0.0001960116 -0.0003269356 x -0.0003269356 0.0007505601 $vcov[[147]] (Intercept) x (Intercept) 0.0001929585 -0.0002921590 x -0.0002921590 0.0005637807 $vcov[[148]] (Intercept) x (Intercept) 0.0002421877 -0.0003385491 x -0.0003385491 0.0005901520 $vcov[[149]] (Intercept) x (Intercept) 0.0001969502 -0.0003107291 x -0.0003107291 0.0006990614 $vcov[[150]] (Intercept) x (Intercept) 0.0002310414 -0.0003442472 x -0.0003442472 0.0006875845 $vcov[[151]] (Intercept) x (Intercept) 0.0002863494 -0.0004008845 x -0.0004008845 0.0007208114 $vcov[[152]] (Intercept) x (Intercept) 0.0002323150 -0.0003412499 x -0.0003412499 0.0006422814 $vcov[[153]] (Intercept) x (Intercept) 0.0002283363 -0.0003358974 x -0.0003358974 0.0006640690 $vcov[[154]] (Intercept) x (Intercept) 0.0002505739 -0.0003622594 x -0.0003622594 0.0006896577 $vcov[[155]] (Intercept) x (Intercept) 0.0002123548 -0.0003230835 x -0.0003230835 0.0006680183 $vcov[[156]] (Intercept) x (Intercept) 0.0002036828 -0.0003126501 x -0.0003126501 0.0006321132 $vcov[[157]] (Intercept) x (Intercept) 0.0002262104 -0.0003474091 x -0.0003474091 0.0006739376 $vcov[[158]] (Intercept) x (Intercept) 0.0002809863 -0.0004042105 x -0.0004042105 0.0007042362 $vcov[[159]] (Intercept) x (Intercept) 0.0002481685 -0.0003857034 x -0.0003857034 0.0007733386 $vcov[[160]] (Intercept) x (Intercept) 0.0002129794 -0.0003199933 x -0.0003199933 0.0006503673 $vcov[[161]] (Intercept) x (Intercept) 0.0002179792 -0.0003129530 x -0.0003129530 0.0006244165 $vcov[[162]] (Intercept) x (Intercept) 0.0003114342 -0.0004502618 x -0.0004502618 0.0008068186 $vcov[[163]] (Intercept) x (Intercept) 0.0001962529 -0.0003066384 x -0.0003066384 0.0006494521 $vcov[[164]] (Intercept) x (Intercept) 0.0002606597 -0.0003915137 x -0.0003915137 0.0007462907 $vcov[[165]] (Intercept) x (Intercept) 0.0002176373 -0.0003257732 x -0.0003257732 0.0006619899 $vcov[[166]] (Intercept) x (Intercept) 0.0001985387 -0.0003102746 x -0.0003102746 0.0006714376 $vcov[[167]] (Intercept) x (Intercept) 0.0001862880 -0.0002777471 x -0.0002777471 0.0005427319 $vcov[[168]] (Intercept) x (Intercept) 0.0002395010 -0.0003397806 x -0.0003397806 0.0006494233 $vcov[[169]] (Intercept) x (Intercept) 0.0002213363 -0.0003388724 x -0.0003388724 0.0006629209 $vcov[[170]] (Intercept) x (Intercept) 0.0002284513 -0.0003505793 x -0.0003505793 0.0007076044 $vcov[[171]] (Intercept) x (Intercept) 0.0002443218 -0.0003797090 x -0.0003797090 0.0007777521 $vcov[[172]] (Intercept) x (Intercept) 0.0002343744 -0.0003613374 x -0.0003613374 0.0007306222 $vcov[[173]] (Intercept) x (Intercept) 0.0003033504 -0.0004268975 x -0.0004268975 0.0007638461 $vcov[[174]] (Intercept) x (Intercept) 0.0002296356 -0.0003432833 x -0.0003432833 0.0006772892 $vcov[[175]] (Intercept) x (Intercept) 0.0002314485 -0.0003586664 x -0.0003586664 0.0007578870 $vcov[[176]] (Intercept) x (Intercept) 0.0002317901 -0.0003510925 x -0.0003510925 0.0007019256 $vcov[[177]] (Intercept) x (Intercept) 0.0001935738 -0.0003039250 x -0.0003039250 0.0006205337 $vcov[[178]] (Intercept) x (Intercept) 0.0002798533 -0.0004074646 x -0.0004074646 0.0007631978 $vcov[[179]] (Intercept) x (Intercept) 0.0002193156 -0.0003406798 x -0.0003406798 0.0006979933 $vcov[[180]] (Intercept) x (Intercept) 0.0002054939 -0.0003033064 x -0.0003033064 0.0006215429 $vcov[[181]] (Intercept) x (Intercept) 0.0002256173 -0.0003438297 x -0.0003438297 0.0007074341 $vcov[[182]] (Intercept) x (Intercept) 0.0002343572 -0.0003556627 x -0.0003556627 0.0007181690 $vcov[[183]] (Intercept) x (Intercept) 0.0002173729 -0.0003289017 x -0.0003289017 0.0006469975 $vcov[[184]] (Intercept) x (Intercept) 0.0002246686 -0.0003376895 x -0.0003376895 0.0007046804 $vcov[[185]] (Intercept) x (Intercept) 0.000240201 -0.0003457330 x -0.000345733 0.0006500156 $vcov[[186]] (Intercept) x (Intercept) 0.0002268652 -0.0003209615 x -0.0003209615 0.0006031243 $vcov[[187]] (Intercept) x (Intercept) 0.0002011717 -0.0003147273 x -0.0003147273 0.0006507673 $vcov[[188]] (Intercept) x (Intercept) 0.0002275953 -0.0003589099 x -0.0003589099 0.0007369483 $vcov[[189]] (Intercept) x (Intercept) 0.0002969248 -0.0004534419 x -0.0004534419 0.0008973571 $vcov[[190]] (Intercept) x (Intercept) 0.000250151 -0.0003642640 x -0.000364264 0.0006965896 $vcov[[191]] (Intercept) x (Intercept) 0.0002040152 -0.0003168604 x -0.0003168604 0.0006880738 $vcov[[192]] (Intercept) x (Intercept) 0.0002052854 -0.0003196432 x -0.0003196432 0.0006564333 $vcov[[193]] (Intercept) x (Intercept) 0.0002848255 -0.0004145541 x -0.0004145541 0.0008069963 $vcov[[194]] (Intercept) x (Intercept) 0.0001995615 -0.0002964541 x -0.0002964541 0.0005819469 $vcov[[195]] (Intercept) x (Intercept) 0.0002375654 -0.0003576816 x -0.0003576816 0.0007368687 $vcov[[196]] (Intercept) x (Intercept) 0.0002177842 -0.0003284412 x -0.0003284412 0.0006676953 $vcov[[197]] (Intercept) x (Intercept) 0.0001767124 -0.0002707254 x -0.0002707254 0.0006221786 $vcov[[198]] (Intercept) x (Intercept) 0.0002556934 -0.0003796756 x -0.0003796756 0.0007618736 $vcov[[199]] (Intercept) x (Intercept) 0.0002785588 -0.0004085862 x -0.0004085862 0.0007678987 $vcov[[200]] (Intercept) x (Intercept) 0.0002493072 -0.0003616520 x -0.0003616520 0.0006988958 $vcov[[201]] (Intercept) x (Intercept) 0.0002101533 -0.0003203058 x -0.0003203058 0.0006473640 $vcov[[202]] (Intercept) x (Intercept) 0.0002559088 -0.0003570100 x -0.0003570100 0.0006914788 $vcov[[203]] (Intercept) x (Intercept) 0.0003078538 -0.0004496294 x -0.0004496294 0.0007874181 $vcov[[204]] (Intercept) x (Intercept) 0.0002470853 -0.0003651907 x -0.0003651907 0.0007053986 $vcov[[205]] (Intercept) x (Intercept) 0.0002880380 -0.0004266145 x -0.0004266145 0.0008158509 $vcov[[206]] (Intercept) x (Intercept) 0.0002387949 -0.0003575660 x -0.0003575660 0.0007097941 $vcov[[207]] (Intercept) x (Intercept) 0.0001496387 -0.0002423873 x -0.0002423873 0.0005764849 $vcov[[208]] (Intercept) x (Intercept) 0.0002350107 -0.0003770201 x -0.0003770201 0.0007677692 $vcov[[209]] (Intercept) x (Intercept) 0.0002498519 -0.0003586102 x -0.0003586102 0.0006997840 $vcov[[210]] (Intercept) x (Intercept) 0.0002496791 -0.0003620727 x -0.0003620727 0.0006797609 $vcov[[211]] (Intercept) x (Intercept) 0.0002326114 -0.0003532754 x -0.0003532754 0.0007030528 $vcov[[212]] (Intercept) x (Intercept) 0.0002235092 -0.0003309012 x -0.0003309012 0.0006474479 $vcov[[213]] (Intercept) x (Intercept) 0.0002219025 -0.0003271557 x -0.0003271557 0.0006618411 $vcov[[214]] (Intercept) x (Intercept) 0.0002189668 -0.0003366616 x -0.0003366616 0.0007132779 $vcov[[215]] (Intercept) x (Intercept) 0.0002088711 -0.0003144850 x -0.0003144850 0.0006514494 $vcov[[216]] (Intercept) x (Intercept) 0.0002024043 -0.0003221356 x -0.0003221356 0.0006859466 $vcov[[217]] (Intercept) x (Intercept) 0.0002425272 -0.0003732856 x -0.0003732856 0.0007676422 $vcov[[218]] (Intercept) x (Intercept) 0.0002585937 -0.0003775644 x -0.0003775644 0.0007286952 $vcov[[219]] (Intercept) x (Intercept) 0.0001707454 -0.0002741397 x -0.0002741397 0.0006554384 $vcov[[220]] (Intercept) x (Intercept) 0.0002061871 -0.0003104381 x -0.0003104381 0.0006468342 $vcov[[221]] (Intercept) x (Intercept) 0.0002417004 -0.0003576020 x -0.0003576020 0.0007178216 $vcov[[222]] (Intercept) x (Intercept) 0.0002377521 -0.0003542929 x -0.0003542929 0.0007212480 $vcov[[223]] (Intercept) x (Intercept) 0.0002304843 -0.0003487890 x -0.0003487890 0.0007553722 $vcov[[224]] (Intercept) x (Intercept) 0.0002147140 -0.0003278136 x -0.0003278136 0.0006724800 $vcov[[225]] (Intercept) x (Intercept) 0.0001951228 -0.0002959798 x -0.0002959798 0.0005886131 $vcov[[226]] (Intercept) x (Intercept) 0.0002564865 -0.0003892899 x -0.0003892899 0.0007835757 $vcov[[227]] (Intercept) x (Intercept) 0.0002031829 -0.0003147937 x -0.0003147937 0.0006514915 $vcov[[228]] (Intercept) x (Intercept) 0.0001942763 -0.0003045753 x -0.0003045753 0.0006201254 $vcov[[229]] (Intercept) x (Intercept) 0.0002386060 -0.0003535871 x -0.0003535871 0.0007043955 $vcov[[230]] (Intercept) x (Intercept) 0.0002117684 -0.0003250211 x -0.0003250211 0.0006538304 $vcov[[231]] (Intercept) x (Intercept) 0.0002413446 -0.0003464759 x -0.0003464759 0.0006659992 $vcov[[232]] (Intercept) x (Intercept) 0.0002364815 -0.0003350775 x -0.0003350775 0.0006464562 $vcov[[233]] (Intercept) x (Intercept) 0.0002503567 -0.0003954242 x -0.0003954242 0.0008193164 $vcov[[234]] (Intercept) x (Intercept) 0.0002784761 -0.0004124591 x -0.0004124591 0.0007902460 $vcov[[235]] (Intercept) x (Intercept) 0.0002741550 -0.0004016917 x -0.0004016917 0.0007462965 $vcov[[236]] (Intercept) x (Intercept) 0.0002501602 -0.0003739805 x -0.0003739805 0.0007488065 $vcov[[237]] (Intercept) x (Intercept) 0.0001839492 -0.0002882371 x -0.0002882371 0.0006207087 $vcov[[238]] (Intercept) x (Intercept) 0.000241448 -0.0003785720 x -0.000378572 0.0007712075 $vcov[[239]] (Intercept) x (Intercept) 0.0002323466 -0.0003525488 x -0.0003525488 0.0007127429 $vcov[[240]] (Intercept) x (Intercept) 0.0002397966 -0.0003679645 x -0.0003679645 0.0007170052 $vcov[[241]] (Intercept) x (Intercept) 0.0002496643 -0.0003783303 x -0.0003783303 0.0007287942 $vcov[[242]] (Intercept) x (Intercept) 0.0002050017 -0.0003186978 x -0.0003186978 0.0006865362 $vcov[[243]] (Intercept) x (Intercept) 0.0002313614 -0.0003417823 x -0.0003417823 0.0006563036 $vcov[[244]] (Intercept) x (Intercept) 0.0002013617 -0.0003252243 x -0.0003252243 0.0006818735 $vcov[[245]] (Intercept) x (Intercept) 0.0002436308 -0.0003739943 x -0.0003739943 0.0007580115 $vcov[[246]] (Intercept) x (Intercept) 0.0002058327 -0.0003305124 x -0.0003305124 0.0007509346 $vcov[[247]] (Intercept) x (Intercept) 0.0003271673 -0.0004772412 x -0.0004772412 0.0009073637 $vcov[[248]] (Intercept) x (Intercept) 0.0002496727 -0.0003795729 x -0.0003795729 0.0007651582 $vcov[[249]] (Intercept) x (Intercept) 0.0002462041 -0.0003608707 x -0.0003608707 0.0007101487 $vcov[[250]] (Intercept) x (Intercept) 0.0001805003 -0.0002961695 x -0.0002961695 0.0007060223 $vcov[[251]] (Intercept) x (Intercept) 0.0001884103 -0.0002967835 x -0.0002967835 0.0006470497 $vcov[[252]] (Intercept) x (Intercept) 0.0002109327 -0.0003230055 x -0.0003230055 0.0006883136 $vcov[[253]] (Intercept) x (Intercept) 0.0002021491 -0.0003050661 x -0.0003050661 0.0006390468 $vcov[[254]] (Intercept) x (Intercept) 0.0002256714 -0.0003242296 x -0.0003242296 0.0006427489 $vcov[[255]] (Intercept) x (Intercept) 0.0002134010 -0.0003212107 x -0.0003212107 0.0006027918 $vcov[[256]] (Intercept) x (Intercept) 0.0002313358 -0.0003569260 x -0.0003569260 0.0007505824 $vcov[[257]] (Intercept) x (Intercept) 0.0002514900 -0.0003520366 x -0.0003520366 0.0006363730 $vcov[[258]] (Intercept) x (Intercept) 0.0001909883 -0.0002864300 x -0.0002864300 0.0005982679 $vcov[[259]] (Intercept) x (Intercept) 0.0001846357 -0.0002799589 x -0.0002799589 0.0005671345 $vcov[[260]] (Intercept) x (Intercept) 0.0002657794 -0.0003847869 x -0.0003847869 0.0007026614 $vcov[[261]] (Intercept) x (Intercept) 0.0002307381 -0.0003316381 x -0.0003316381 0.0006442190 $vcov[[262]] (Intercept) x (Intercept) 0.0002432847 -0.0003620192 x -0.0003620192 0.0007164647 $vcov[[263]] (Intercept) x (Intercept) 0.0002414510 -0.0003505468 x -0.0003505468 0.0006572518 $vcov[[264]] (Intercept) x (Intercept) 0.0002219046 -0.0003465837 x -0.0003465837 0.0007273431 $vcov[[265]] (Intercept) x (Intercept) 0.0002086649 -0.0003153421 x -0.0003153421 0.0006550479 $vcov[[266]] (Intercept) x (Intercept) 0.0002058968 -0.0002957418 x -0.0002957418 0.0005637795 $vcov[[267]] (Intercept) x (Intercept) 0.0002414299 -0.0003614316 x -0.0003614316 0.0006856584 $vcov[[268]] (Intercept) x (Intercept) 0.0001889117 -0.0002984628 x -0.0002984628 0.0006432733 $vcov[[269]] (Intercept) x (Intercept) 0.0002132886 -0.0003035617 x -0.0003035617 0.0005673928 $vcov[[270]] (Intercept) x (Intercept) 0.0002807754 -0.0004050263 x -0.0004050263 0.0007576257 $vcov[[271]] (Intercept) x (Intercept) 0.0002536981 -0.0003987085 x -0.0003987085 0.0008359728 $vcov[[272]] (Intercept) x (Intercept) 0.0002329541 -0.0003642679 x -0.0003642679 0.0007222600 $vcov[[273]] (Intercept) x (Intercept) 0.0001693351 -0.0002714829 x -0.0002714829 0.0006180208 $vcov[[274]] (Intercept) x (Intercept) 0.0001901461 -0.0002854116 x -0.0002854116 0.0005967708 $vcov[[275]] (Intercept) x (Intercept) 0.0002610274 -0.0003937901 x -0.0003937901 0.0007493824 $vcov[[276]] (Intercept) x (Intercept) 0.0002465245 -0.0003788548 x -0.0003788548 0.0007536851 $vcov[[277]] (Intercept) x (Intercept) 0.0002599954 -0.0003992854 x -0.0003992854 0.0008230517 $vcov[[278]] (Intercept) x (Intercept) 0.0001896431 -0.0003012713 x -0.0003012713 0.0006452388 $vcov[[279]] (Intercept) x (Intercept) 0.0002415629 -0.0003618028 x -0.0003618028 0.0006824951 $vcov[[280]] (Intercept) x (Intercept) 0.0002109317 -0.0003413683 x -0.0003413683 0.0007779337 $vcov[[281]] (Intercept) x (Intercept) 0.0002503940 -0.0003772677 x -0.0003772677 0.0007772536 $vcov[[282]] (Intercept) x (Intercept) 0.0002058743 -0.0003164673 x -0.0003164673 0.0006290640 $vcov[[283]] (Intercept) x (Intercept) 0.0002579032 -0.0003853942 x -0.0003853942 0.0007478757 $vcov[[284]] (Intercept) x (Intercept) 0.0002278892 -0.0003596030 x -0.0003596030 0.0007408875 $vcov[[285]] (Intercept) x (Intercept) 0.0002094162 -0.0003288222 x -0.0003288222 0.0006654376 $vcov[[286]] (Intercept) x (Intercept) 0.0001991654 -0.0003198774 x -0.0003198774 0.0007306236 $vcov[[287]] (Intercept) x (Intercept) 0.0002280230 -0.0003366894 x -0.0003366894 0.0007143599 $vcov[[288]] (Intercept) x (Intercept) 0.0002327866 -0.0003475373 x -0.0003475373 0.0006939785 $vcov[[289]] (Intercept) x (Intercept) 0.0001958363 -0.0002946776 x -0.0002946776 0.0006334261 $vcov[[290]] (Intercept) x (Intercept) 0.0002390113 -0.0003498538 x -0.0003498538 0.0006745773 $vcov[[291]] (Intercept) x (Intercept) 0.0002269013 -0.0003308018 x -0.0003308018 0.0006390124 $vcov[[292]] (Intercept) x (Intercept) 0.0002407708 -0.0003378821 x -0.0003378821 0.0006331620 $vcov[[293]] (Intercept) x (Intercept) 0.0002113720 -0.0003382732 x -0.0003382732 0.0007075159 $vcov[[294]] (Intercept) x (Intercept) 0.0002138752 -0.0003399236 x -0.0003399236 0.0006968275 $vcov[[295]] (Intercept) x (Intercept) 0.0002285749 -0.0003391983 x -0.0003391983 0.0006923329 $vcov[[296]] (Intercept) x (Intercept) 0.0001986829 -0.0003130299 x -0.0003130299 0.0006902153 $vcov[[297]] (Intercept) x (Intercept) 0.0002342099 -0.0003479686 x -0.0003479686 0.0006843826 $vcov[[298]] (Intercept) x (Intercept) 0.0002263872 -0.0003298466 x -0.0003298466 0.0006179841 $vcov[[299]] (Intercept) x (Intercept) 0.0002432687 -0.0003792890 x -0.0003792890 0.0007884058 $vcov[[300]] (Intercept) x (Intercept) 0.0002245073 -0.0003474876 x -0.0003474876 0.0007570653 $vcov[[301]] (Intercept) x (Intercept) 0.0002106422 -0.000319863 x -0.0003198630 0.000655396 $vcov[[302]] (Intercept) x (Intercept) 0.0002250694 -0.0003404127 x -0.0003404127 0.0006565572 $vcov[[303]] (Intercept) x (Intercept) 0.0002171306 -0.0003435901 x -0.0003435901 0.0007656199 $vcov[[304]] (Intercept) x (Intercept) 0.0002122977 -0.0003080464 x -0.0003080464 0.0005899283 $vcov[[305]] (Intercept) x (Intercept) 0.0001783445 -0.0002752202 x -0.0002752202 0.0006063333 $vcov[[306]] (Intercept) x (Intercept) 0.0002156409 -0.0003197075 x -0.0003197075 0.0006151706 $vcov[[307]] (Intercept) x (Intercept) 0.0002237123 -0.0003421217 x -0.0003421217 0.0007267430 $vcov[[308]] (Intercept) x (Intercept) 0.0002113860 -0.0003342536 x -0.0003342536 0.0007151375 $vcov[[309]] (Intercept) x (Intercept) 0.0001908803 -0.0002950469 x -0.0002950469 0.0006291906 $vcov[[310]] (Intercept) x (Intercept) 0.0002153532 -0.0003261993 x -0.0003261993 0.0006833420 $vcov[[311]] (Intercept) x (Intercept) 0.0003036383 -0.0004311371 x -0.0004311371 0.0007583762 $vcov[[312]] (Intercept) x (Intercept) 0.0002645843 -0.0003839020 x -0.0003839020 0.0006996236 $vcov[[313]] (Intercept) x (Intercept) 0.0002463655 -0.0003624354 x -0.0003624354 0.0007548744 $vcov[[314]] (Intercept) x (Intercept) 0.0002811918 -0.0004151233 x -0.0004151233 0.0007801874 $vcov[[315]] (Intercept) x (Intercept) 0.0001986534 -0.0002830829 x -0.0002830829 0.0005616856 $vcov[[316]] (Intercept) x (Intercept) 0.0002672359 -0.0003993014 x -0.0003993014 0.0007883700 $vcov[[317]] (Intercept) x (Intercept) 0.0002303903 -0.0003492055 x -0.0003492055 0.0006967899 $vcov[[318]] (Intercept) x (Intercept) 0.0002341059 -0.0003437787 x -0.0003437787 0.0006227624 $vcov[[319]] (Intercept) x (Intercept) 0.0002377098 -0.0003617857 x -0.0003617857 0.0007613545 $vcov[[320]] (Intercept) x (Intercept) 0.0002165182 -0.0003348112 x -0.0003348112 0.0006717221 $vcov[[321]] (Intercept) x (Intercept) 0.0002042377 -0.0002949315 x -0.0002949315 0.0005536244 $vcov[[322]] (Intercept) x (Intercept) 0.0002625846 -0.0004152410 x -0.0004152410 0.0008710396 $vcov[[323]] (Intercept) x (Intercept) 0.0002003850 -0.0003001073 x -0.0003001073 0.0006054124 $vcov[[324]] (Intercept) x (Intercept) 0.0002037019 -0.0003025809 x -0.0003025809 0.0006330505 $vcov[[325]] (Intercept) x (Intercept) 0.0002778805 -0.0003957398 x -0.0003957398 0.0007334672 $vcov[[326]] (Intercept) x (Intercept) 0.0002287172 -0.0003313399 x -0.0003313399 0.0006100639 $vcov[[327]] (Intercept) x (Intercept) 0.0002493770 -0.0003605829 x -0.0003605829 0.0006922735 $vcov[[328]] (Intercept) x (Intercept) 0.0002099083 -0.0003209875 x -0.0003209875 0.0006543080 $vcov[[329]] (Intercept) x (Intercept) 0.0002928401 -0.0004165228 x -0.0004165228 0.0007607593 $vcov[[330]] (Intercept) x (Intercept) 0.0002672769 -0.0004265563 x -0.0004265563 0.0008750062 $vcov[[331]] (Intercept) x (Intercept) 0.0002075382 -0.0003299704 x -0.0003299704 0.0006991670 $vcov[[332]] (Intercept) x (Intercept) 0.0002509727 -0.0003757391 x -0.0003757391 0.0007494882 $vcov[[333]] (Intercept) x (Intercept) 0.0002131916 -0.0003050025 x -0.0003050025 0.0005950165 $vcov[[334]] (Intercept) x (Intercept) 0.0001938518 -0.0002908987 x -0.0002908987 0.0006209634 $vcov[[335]] (Intercept) x (Intercept) 0.0001941580 -0.0002873867 x -0.0002873867 0.0005856845 $vcov[[336]] (Intercept) x (Intercept) 0.0002178833 -0.0003382153 x -0.0003382153 0.0007103874 $vcov[[337]] (Intercept) x (Intercept) 0.0001941106 -0.0002848092 x -0.0002848092 0.0005666853 $vcov[[338]] (Intercept) x (Intercept) 0.0002802541 -0.0004022322 x -0.0004022322 0.0007376518 $vcov[[339]] (Intercept) x (Intercept) 0.0002007134 -0.0003013428 x -0.0003013428 0.0006013325 $vcov[[340]] (Intercept) x (Intercept) 0.0002363617 -0.0003506413 x -0.0003506413 0.0007165154 $vcov[[341]] (Intercept) x (Intercept) 0.0001979170 -0.0002961681 x -0.0002961681 0.0005864107 $vcov[[342]] (Intercept) x (Intercept) 0.0001931923 -0.0002935987 x -0.0002935987 0.0006407579 $vcov[[343]] (Intercept) x (Intercept) 0.0002156726 -0.0003374403 x -0.0003374403 0.0007175070 $vcov[[344]] (Intercept) x (Intercept) 0.0002154237 -0.0003309689 x -0.0003309689 0.0007118443 $vcov[[345]] (Intercept) x (Intercept) 0.0002640832 -0.0003807280 x -0.0003807280 0.0006857312 $vcov[[346]] (Intercept) x (Intercept) 0.0001730849 -0.0002800961 x -0.0002800961 0.0005993736 $vcov[[347]] (Intercept) x (Intercept) 0.0002389282 -0.0003560901 x -0.0003560901 0.0007018856 $vcov[[348]] (Intercept) x (Intercept) 0.000217281 -0.0003267120 x -0.000326712 0.0006778119 $vcov[[349]] (Intercept) x (Intercept) 0.0002403486 -0.0003705122 x -0.0003705122 0.0007209124 $vcov[[350]] (Intercept) x (Intercept) 0.0002165511 -0.0003228757 x -0.0003228757 0.0006553063 $vcov[[351]] (Intercept) x (Intercept) 0.0001758501 -0.0002750046 x -0.0002750046 0.0006267780 $vcov[[352]] (Intercept) x (Intercept) 0.0001966465 -0.0002936232 x -0.0002936232 0.0006088388 $vcov[[353]] (Intercept) x (Intercept) 0.0002580482 -0.0003762030 x -0.0003762030 0.0007230701 $vcov[[354]] (Intercept) x (Intercept) 0.0002183939 -0.0003247516 x -0.0003247516 0.0006345474 $vcov[[355]] (Intercept) x (Intercept) 0.0002476784 -0.0003692399 x -0.0003692399 0.0007204583 $vcov[[356]] (Intercept) x (Intercept) 0.0002293497 -0.0003441307 x -0.0003441307 0.0007055778 $vcov[[357]] (Intercept) x (Intercept) 0.0003132964 -0.0004314064 x -0.0004314064 0.0007510548 $vcov[[358]] (Intercept) x (Intercept) 0.0002493328 -0.0003609936 x -0.0003609936 0.0006874978 $vcov[[359]] (Intercept) x (Intercept) 0.0001957580 -0.0002877645 x -0.0002877645 0.0005771268 $vcov[[360]] (Intercept) x (Intercept) 0.0002195512 -0.0003416293 x -0.0003416293 0.0006725538 $vcov[[361]] (Intercept) x (Intercept) 0.0002325055 -0.0003333937 x -0.0003333937 0.0006590208 $vcov[[362]] (Intercept) x (Intercept) 0.0002296748 -0.0003339213 x -0.0003339213 0.0006123713 $vcov[[363]] (Intercept) x (Intercept) 0.0002048447 -0.0002986340 x -0.0002986340 0.0005679049 $vcov[[364]] (Intercept) x (Intercept) 0.0002529980 -0.0003797049 x -0.0003797049 0.0007279526 $vcov[[365]] (Intercept) x (Intercept) 0.0002071695 -0.0003093493 x -0.0003093493 0.0006362133 $vcov[[366]] (Intercept) x (Intercept) 0.0001827772 -0.0002837453 x -0.0002837453 0.0006255318 $vcov[[367]] (Intercept) x (Intercept) 0.0002131851 -0.0003282028 x -0.0003282028 0.0006937481 $vcov[[368]] (Intercept) x (Intercept) 0.0002160966 -0.0003358560 x -0.0003358560 0.0006700156 $vcov[[369]] (Intercept) x (Intercept) 0.0002262739 -0.0003262904 x -0.0003262904 0.0006502614 $vcov[[370]] (Intercept) x (Intercept) 0.0002555480 -0.0003933185 x -0.0003933185 0.0008168641 $vcov[[371]] (Intercept) x (Intercept) 0.0002254058 -0.0003624186 x -0.0003624186 0.0007532911 $vcov[[372]] (Intercept) x (Intercept) 0.000254767 -0.0003800020 x -0.000380002 0.0007600405 $vcov[[373]] (Intercept) x (Intercept) 0.0002117951 -0.0003122257 x -0.0003122257 0.0006219090 $vcov[[374]] (Intercept) x (Intercept) 0.0001965999 -0.0003041105 x -0.0003041105 0.0006162438 $vcov[[375]] (Intercept) x (Intercept) 0.0003113484 -0.0004198742 x -0.0004198742 0.0007227552 $vcov[[376]] (Intercept) x (Intercept) 0.0002446336 -0.0003614796 x -0.0003614796 0.0006922459 $vcov[[377]] (Intercept) x (Intercept) 0.0002361255 -0.000361732 x -0.0003617320 0.000723643 $vcov[[378]] (Intercept) x (Intercept) 0.0002072788 -0.0003326586 x -0.0003326586 0.0007198519 $vcov[[379]] (Intercept) x (Intercept) 0.0002195704 -0.0003396193 x -0.0003396193 0.0007287207 $vcov[[380]] (Intercept) x (Intercept) 0.0002071841 -0.0003221325 x -0.0003221325 0.0006746254 $vcov[[381]] (Intercept) x (Intercept) 0.0001897457 -0.0003117189 x -0.0003117189 0.0006996311 $vcov[[382]] (Intercept) x (Intercept) 0.0002124520 -0.0003042942 x -0.0003042942 0.0006270534 $vcov[[383]] (Intercept) x (Intercept) 0.0002566315 -0.0003852144 x -0.0003852144 0.0007282695 $vcov[[384]] (Intercept) x (Intercept) 0.0002303438 -0.0003653846 x -0.0003653846 0.0007484708 $vcov[[385]] (Intercept) x (Intercept) 0.0002587283 -0.0003865455 x -0.0003865455 0.0007204901 $vcov[[386]] (Intercept) x (Intercept) 0.0002820951 -0.0004067028 x -0.0004067028 0.0007443693 $vcov[[387]] (Intercept) x (Intercept) 0.0002575249 -0.0003876421 x -0.0003876421 0.0007301768 $vcov[[388]] (Intercept) x (Intercept) 0.0002316535 -0.0003745853 x -0.0003745853 0.0008170400 $vcov[[389]] (Intercept) x (Intercept) 0.0002159920 -0.0003170288 x -0.0003170288 0.0006582923 $vcov[[390]] (Intercept) x (Intercept) 0.0002492182 -0.0003754077 x -0.0003754077 0.0007624302 $vcov[[391]] (Intercept) x (Intercept) 0.0002618621 -0.0003909597 x -0.0003909597 0.0007944784 $vcov[[392]] (Intercept) x (Intercept) 0.0002357271 -0.0003574427 x -0.0003574427 0.0007123152 $vcov[[393]] (Intercept) x (Intercept) 0.0002207077 -0.0003369749 x -0.0003369749 0.0006870749 $vcov[[394]] (Intercept) x (Intercept) 0.0002425493 -0.0003594052 x -0.0003594052 0.0007162400 $vcov[[395]] (Intercept) x (Intercept) 0.0002741028 -0.0003936794 x -0.0003936794 0.0007558980 $vcov[[396]] (Intercept) x (Intercept) 0.0002174633 -0.0003098845 x -0.0003098845 0.0005885996 $vcov[[397]] (Intercept) x (Intercept) 0.0002178007 -0.0003298878 x -0.0003298878 0.0006740361 $vcov[[398]] (Intercept) x (Intercept) 0.0002325992 -0.0003399829 x -0.0003399829 0.0006600179 $vcov[[399]] (Intercept) x (Intercept) 0.0002078348 -0.0003227412 x -0.0003227412 0.0006564932 $vcov[[400]] (Intercept) x (Intercept) 0.0002620485 -0.0003692608 x -0.0003692608 0.0006706149 $vcov[[401]] (Intercept) x (Intercept) 0.0002184364 -0.0003331237 x -0.0003331237 0.0007045581 $vcov[[402]] (Intercept) x (Intercept) 0.0002287757 -0.0003422133 x -0.0003422133 0.0006715824 $vcov[[403]] (Intercept) x (Intercept) 0.0001943997 -0.0003112327 x -0.0003112327 0.0006606412 $vcov[[404]] (Intercept) x (Intercept) 0.0002302672 -0.0003529435 x -0.0003529435 0.0007096418 $vcov[[405]] (Intercept) x (Intercept) 0.0002660500 -0.0003821907 x -0.0003821907 0.0007228091 $vcov[[406]] (Intercept) x (Intercept) 0.0003119871 -0.0004400069 x -0.0004400069 0.0007780697 $vcov[[407]] (Intercept) x (Intercept) 0.0002115263 -0.0003223655 x -0.0003223655 0.0006579025 $vcov[[408]] (Intercept) x (Intercept) 0.0001969557 -0.0003038753 x -0.0003038753 0.0006061209 $vcov[[409]] (Intercept) x (Intercept) 0.0002326910 -0.0003216099 x -0.0003216099 0.0006032546 $vcov[[410]] (Intercept) x (Intercept) 0.0002187212 -0.0003217196 x -0.0003217196 0.0006264235 $vcov[[411]] (Intercept) x (Intercept) 0.0002055143 -0.0003025523 x -0.0003025523 0.0006060611 $vcov[[412]] (Intercept) x (Intercept) 0.0002025874 -0.0003053594 x -0.0003053594 0.0006317147 $vcov[[413]] (Intercept) x (Intercept) 0.0003005361 -0.0004245018 x -0.0004245018 0.0007352877 $vcov[[414]] (Intercept) x (Intercept) 0.0002353063 -0.0003582562 x -0.0003582562 0.0007204393 $vcov[[415]] (Intercept) x (Intercept) 0.0002027706 -0.0003040509 x -0.0003040509 0.0006027729 $vcov[[416]] (Intercept) x (Intercept) 0.0002361917 -0.0003317261 x -0.0003317261 0.0006071049 $vcov[[417]] (Intercept) x (Intercept) 0.0002233026 -0.0003158683 x -0.0003158683 0.0006147722 $vcov[[418]] (Intercept) x (Intercept) 0.0002206225 -0.0003304240 x -0.0003304240 0.0006391433 $vcov[[419]] (Intercept) x (Intercept) 0.0001938448 -0.0002811511 x -0.0002811511 0.0005628917 $vcov[[420]] (Intercept) x (Intercept) 0.0002541751 -0.0003917447 x -0.0003917447 0.0007796127 $vcov[[421]] (Intercept) x (Intercept) 0.0001789370 -0.0002715845 x -0.0002715845 0.0005905702 $vcov[[422]] (Intercept) x (Intercept) 0.0002036106 -0.0003039078 x -0.0003039078 0.0006134293 $vcov[[423]] (Intercept) x (Intercept) 0.0002264930 -0.0003283964 x -0.0003283964 0.0006384791 $vcov[[424]] (Intercept) x (Intercept) 0.0002305465 -0.0003449852 x -0.0003449852 0.0006799623 $vcov[[425]] (Intercept) x (Intercept) 0.0002121130 -0.0003249942 x -0.0003249942 0.0006467443 $vcov[[426]] (Intercept) x (Intercept) 0.0001994048 -0.0003009157 x -0.0003009157 0.0006331612 $vcov[[427]] (Intercept) x (Intercept) 0.0002452493 -0.0003544886 x -0.0003544886 0.0006780390 $vcov[[428]] (Intercept) x (Intercept) 0.0002341132 -0.0003480616 x -0.0003480616 0.0006579762 $vcov[[429]] (Intercept) x (Intercept) 0.0002024254 -0.0003084024 x -0.0003084024 0.0006561292 $vcov[[430]] (Intercept) x (Intercept) 0.0001909575 -0.0003089225 x -0.0003089225 0.0006879594 $vcov[[431]] (Intercept) x (Intercept) 0.0002495316 -0.0003805874 x -0.0003805874 0.0007815546 $vcov[[432]] (Intercept) x (Intercept) 0.0002571393 -0.0003740415 x -0.0003740415 0.0006763573 $vcov[[433]] (Intercept) x (Intercept) 0.0002067493 -0.0003294023 x -0.0003294023 0.0007147498 $vcov[[434]] (Intercept) x (Intercept) 0.0002870275 -0.0004305153 x -0.0004305153 0.0008692587 $vcov[[435]] (Intercept) x (Intercept) 0.0001936847 -0.0002905905 x -0.0002905905 0.0005934476 $vcov[[436]] (Intercept) x (Intercept) 0.0001269631 -0.0001885109 x -0.0001885109 0.0003768984 $vcov[[437]] (Intercept) x (Intercept) 0.0002223616 -0.0003247020 x -0.0003247020 0.0006294647 $vcov[[438]] (Intercept) x (Intercept) 0.0002292925 -0.0003589568 x -0.0003589568 0.0007393253 $vcov[[439]] (Intercept) x (Intercept) 0.0001841753 -0.0002844396 x -0.0002844396 0.0005761496 $vcov[[440]] (Intercept) x (Intercept) 0.0002002375 -0.0003105999 x -0.0003105999 0.0006328221 $vcov[[441]] (Intercept) x (Intercept) 0.0002228916 -0.0003393547 x -0.0003393547 0.0006985994 $vcov[[442]] (Intercept) x (Intercept) 0.0002305385 -0.0003492654 x -0.0003492654 0.0006970479 $vcov[[443]] (Intercept) x (Intercept) 0.0002012718 -0.0003067735 x -0.0003067735 0.0006779497 $vcov[[444]] (Intercept) x (Intercept) 0.0002263644 -0.0003380990 x -0.0003380990 0.0006848969 $vcov[[445]] (Intercept) x (Intercept) 0.0002495402 -0.0003709652 x -0.0003709652 0.0007130506 $vcov[[446]] (Intercept) x (Intercept) 0.0002040580 -0.0003024111 x -0.0003024111 0.0006156315 $vcov[[447]] (Intercept) x (Intercept) 0.0002313398 -0.0003403708 x -0.0003403708 0.0006768344 $vcov[[448]] (Intercept) x (Intercept) 0.0002628344 -0.0003901726 x -0.0003901726 0.0007636650 $vcov[[449]] (Intercept) x (Intercept) 0.0002374043 -0.0003553257 x -0.0003553257 0.0007264850 $vcov[[450]] (Intercept) x (Intercept) 0.0002577622 -0.0003773709 x -0.0003773709 0.0007660970 $vcov[[451]] (Intercept) x (Intercept) 0.0001951805 -0.0003042165 x -0.0003042165 0.0006398132 $vcov[[452]] (Intercept) x (Intercept) 0.0002277238 -0.0003375663 x -0.0003375663 0.0006844174 $vcov[[453]] (Intercept) x (Intercept) 0.0002587649 -0.0003769840 x -0.0003769840 0.0007433968 $vcov[[454]] (Intercept) x (Intercept) 0.0002734106 -0.0003870717 x -0.0003870717 0.0007284970 $vcov[[455]] (Intercept) x (Intercept) 0.0002019914 -0.0003161633 x -0.0003161633 0.0006853421 $vcov[[456]] (Intercept) x (Intercept) 0.0002374001 -0.0003450583 x -0.0003450583 0.0006766674 $vcov[[457]] (Intercept) x (Intercept) 0.0002543128 -0.0003987869 x -0.0003987869 0.0008602529 $vcov[[458]] (Intercept) x (Intercept) 0.0002258773 -0.0003569869 x -0.0003569869 0.0007465080 $vcov[[459]] (Intercept) x (Intercept) 0.0002366540 -0.0003441812 x -0.0003441812 0.0006647091 $vcov[[460]] (Intercept) x (Intercept) 0.0002035013 -0.0003185106 x -0.0003185106 0.0006728174 $vcov[[461]] (Intercept) x (Intercept) 0.0002218515 -0.0003300805 x -0.0003300805 0.0006715531 $vcov[[462]] (Intercept) x (Intercept) 0.0002380754 -0.0003571419 x -0.0003571419 0.0006887302 $vcov[[463]] (Intercept) x (Intercept) 0.0002624198 -0.0003894131 x -0.0003894131 0.0007682959 $vcov[[464]] (Intercept) x (Intercept) 0.0002197255 -0.0003335626 x -0.0003335626 0.0006889783 $vcov[[465]] (Intercept) x (Intercept) 0.0002443082 -0.0003632190 x -0.0003632190 0.0007201162 $vcov[[466]] (Intercept) x (Intercept) 0.0002387058 -0.0003564625 x -0.0003564625 0.0006742334 $vcov[[467]] (Intercept) x (Intercept) 0.0002604429 -0.0003779215 x -0.0003779215 0.0007377255 $vcov[[468]] (Intercept) x (Intercept) 0.0002403186 -0.0003708556 x -0.0003708556 0.0007417527 $vcov[[469]] (Intercept) x (Intercept) 0.0002332533 -0.0003381550 x -0.0003381550 0.0006506476 $vcov[[470]] (Intercept) x (Intercept) 0.0002596600 -0.0004086151 x -0.0004086151 0.0008595212 $vcov[[471]] (Intercept) x (Intercept) 0.0002277268 -0.0003699862 x -0.0003699862 0.0008002428 $vcov[[472]] (I...
R-bloggers.com offers daily e-mail updates about R news and tutorials about learning R and many other topics. Click here if you're looking to post or find an R/data-science job.
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.