library(knitr)

knitr::opts_chunk$set(echo = TRUE)
opts_chunk$set(tidy.opts=list(width.cutoff=100),tidy=TRUE, warning = FALSE, message = FALSE,comment = "#>", cache=TRUE, class.source=c("test"), class.output=c("test2"))
options(width = 100)
rgl::setupKnitr()



colorize <- function(x, color) {sprintf("<span style='color: %s;'>%s</span>", color, x) }
klippy::klippy(position = c('top', 'right'))
#klippy::klippy(color = 'darkred')
#klippy::klippy(tooltip_message = 'Click to copy', tooltip_success = 'Done')

Last compiled on oktober, 2022


1 Before you start

### Author: NINA BRANTEN### Lastmod: 28-09-2022###

# cleanup workspace
rm(list = ls())
# install packages
library(RSiena)
# density: observed relations divided by possible relations
fdensity <- function(x) {
    # x is your nomination network make sure diagonal cells are NA
    diag(x) <- NA
    # take care of RSiena structural zeros, set as missing.
    x[x == 10] <- NA
    sum(x == 1, na.rm = T)/(sum(x == 1 | x == 0, na.rm = T))
}

# calculate intragroup density
fdensityintra <- function(x, A) {
    # A is matrix indicating whether nodes in dyad have same node attributes
    diag(x) <- NA
    x[x == 10] <- NA
    diag(A) <- NA
    sum(x == 1 & A == 1, na.rm = T)/(sum((x == 1 | x == 0) & A == 1, na.rm = T))
}

# calculate intragroup density
fdensityinter <- function(x, A) {
    # A is matrix indicating whether nodes in dyad have same node attributes
    diag(x) <- NA
    x[x == 10] <- NA
    diag(A) <- NA
    sum(x == 1 & A != 1, na.rm = T)/(sum((x == 1 | x == 0) & A != 1, na.rm = T))
}

# construct dyadcharacteristic whether nodes are similar/homogenous
fhomomat <- function(x) {
    # x is a vector of node-covariate
    xmat <- matrix(x, nrow = length(x), ncol = length(x))
    xmatt <- t(xmat)
    xhomo <- xmat == xmatt
    return(xhomo)
}

# a function to calculate all valid dyads.
fndyads <- function(x) {
    diag(x) <- NA
    x[x == 10] <- NA
    (sum((x == 1 | x == 0), na.rm = T))
}

# a function to calculate all valid intragroupdyads.
fndyads2 <- function(x, A) {
    diag(x) <- NA
    x[x == 10] <- NA
    diag(A) <- NA
    (sum((x == 1 | x == 0) & A == 1, na.rm = T))
}


fscolnet <- function(network, ccovar) {
    # Calculate coleman on network level:
    # https://reader.elsevier.com/reader/sd/pii/S0378873314000239?token=A42F99FF6E2B750436DD2CB0DB7B1F41BDEC16052A45683C02644DAF88215A3379636B2AA197B65941D6373E9E2EE413
    
    fhomomat <- function(x) {
        xmat <- matrix(x, nrow = length(x), ncol = length(x))
        xmatt <- t(xmat)
        xhomo <- xmat == xmatt
        return(xhomo)
    }
    
    fsumintra <- function(x, A) {
        # A is matrix indicating whether nodes constituting dyad have same characteristics
        diag(x) <- NA
        x[x == 10] <- NA
        diag(A) <- NA
        sum(x == 1 & A == 1, na.rm = T)
    }
    
    # expecation w*=sum_g sum_i (ni((ng-1)/(N-1)))
    network[network == 10] <- NA
    ni <- rowSums(network, na.rm = T)
    ng <- NA
    for (i in 1:length(ccovar)) {
        ng[i] <- table(ccovar)[rownames(table(ccovar)) == ccovar[i]]
    }
    N <- length(ccovar)
    wexp <- sum(ni * ((ng - 1)/(N - 1)), na.rm = T)
    
    # wgg1 how many intragroup ties
    w <- fsumintra(network, fhomomat(ccovar))
    
    Scol_net <- ifelse(w >= wexp, (w - wexp)/(sum(ni, na.rm = T) - wexp), (w - wexp)/wexp)
    return(Scol_net)
}

2 Data

getwd()
#> [1] "C:/Users/ninab/OneDrive/Documenten/GitHub/labjournal"
load("twitter_20190919.RData")  #change to your working directory
str(twitter_20190919, 1)
#> List of 3
#>  $ keyf  :'data.frame':  147 obs. of  41 variables:
#>  $ mydata:List of 8
#>   ..- attr(*, "higher")= Named logi [1:9] FALSE FALSE FALSE FALSE FALSE FALSE ...
#>   .. ..- attr(*, "names")= chr [1:9] "fnet,fnet" "atmnet,fnet" "rtnet,fnet" "fnet,atmnet" ...
#>   ..- attr(*, "disjoint")= Named logi [1:9] FALSE FALSE FALSE FALSE FALSE FALSE ...
#>   .. ..- attr(*, "names")= chr [1:9] "fnet,fnet" "atmnet,fnet" "rtnet,fnet" "fnet,atmnet" ...
#>   ..- attr(*, "atLeastOne")= Named logi [1:9] FALSE FALSE FALSE FALSE FALSE FALSE ...
#>   .. ..- attr(*, "names")= chr [1:9] "fnet,fnet" "atmnet,fnet" "rtnet,fnet" "fnet,atmnet" ...
#>   ..- attr(*, "class")= chr "siena"
#>  $ seats :'data.frame':  150 obs. of  5 variables:
keyf <- twitter_20190919[[1]]
#keyf is dataframe on 147 Dutch MPs
mydata <- twitter_20190919[[2]]
# mydata is object ready to analyze in RSiena. Nodes are the same as in keyf and seats. Contains twitter data at three timepounts. Three layers: fnet (who follows whom), atmnet (who amentions whom) and rnter (who retweets whom). Also contains timevariant information on nodes.
seats <- twitter_20190919[[3]]
#seats is dataset which contains coordinates of seats in House of Parliament in Netherlands

3 Densities

# retrieve nominationdata from rsiena object
fnet <- mydata$depvars$fnet
atmnet <- mydata$depvars$atmnet
rtnet <- mydata$depvars$rtnet

# retrieve node-attributes from rsiena object
vrouw <- mydata$cCovars$vrouw
partij <- mydata$cCovars$partij
ethminz <- mydata$cCovars$ethminz
lft <- mydata$cCovars$lft

# de-mean-center node attributes
ethminz <- ethminz + attributes(ethminz)$mean
partij <- partij + attributes(partij)$mean
vrouw <- vrouw + attributes(vrouw)$mean
lft <- lft + attributes(lft)$mean

# construct matrices for similarity for each dimension (dyad characteristics)
vrouwm <- fhomomat(vrouw)
partijm <- fhomomat(partij)
ethminzm <- fhomomat(ethminz)

# just for fun, make dyad characteristic indicating whether both nodes are ethnic minorities
xmat <- matrix(ethminz, nrow = length(ethminz), ncol = length(ethminz))
xmatt <- t(xmat)
minoritym <- xmat == 1 & xmatt == 1

# for age max 5 year difference / for descriptives
xmat <- matrix(lft, nrow = length(lft), ncol = length(lft))
xmatt <- t(xmat)
lftm <- (abs(xmat - xmatt) < 6)

# calculate all possible similar dyads, not the focus of this exercise.  fndyads2(fnet[,,1], vrouwm)
# fndyads2(fnet[,,3], vrouwm) fndyads2(fnet[,,1], partijm) fndyads2(fnet[,,3], partijm)
# fndyads2(fnet[,,1], ethminzm) fndyads2(fnet[,,3], ethminzm)

# make a big object to store all results
desmat <- matrix(NA, nrow = 10, ncol = 9)

# lets start using our functions
desmat[1, 1] <- fdensity(fnet[, , 1])
desmat[1, 2] <- fdensity(fnet[, , 2])
desmat[1, 3] <- fdensity(fnet[, , 3])
desmat[2, 1] <- fdensityintra(fnet[, , 1], vrouwm)
desmat[2, 2] <- fdensityintra(fnet[, , 2], vrouwm)
desmat[2, 3] <- fdensityintra(fnet[, , 3], vrouwm)
desmat[3, 1] <- fdensityinter(fnet[, , 1], vrouwm)
desmat[3, 2] <- fdensityinter(fnet[, , 2], vrouwm)
desmat[3, 3] <- fdensityinter(fnet[, , 3], vrouwm)
desmat[4, 1] <- fdensityintra(fnet[, , 1], partijm)
desmat[4, 2] <- fdensityintra(fnet[, , 2], partijm)
desmat[4, 3] <- fdensityintra(fnet[, , 3], partijm)
desmat[5, 1] <- fdensityinter(fnet[, , 1], partijm)
desmat[5, 2] <- fdensityinter(fnet[, , 2], partijm)
desmat[5, 3] <- fdensityinter(fnet[, , 3], partijm)
desmat[6, 1] <- fdensityintra(fnet[, , 1], ethminzm)
desmat[6, 2] <- fdensityintra(fnet[, , 2], ethminzm)
desmat[6, 3] <- fdensityintra(fnet[, , 3], ethminzm)
desmat[7, 1] <- fdensityinter(fnet[, , 1], ethminzm)
desmat[7, 2] <- fdensityinter(fnet[, , 2], ethminzm)
desmat[7, 3] <- fdensityinter(fnet[, , 3], ethminzm)
desmat[8, 1] <- fdensityinter(fnet[, , 1], minoritym)
desmat[8, 2] <- fdensityinter(fnet[, , 2], minoritym)
desmat[8, 3] <- fdensityinter(fnet[, , 3], minoritym)
desmat[9, 1] <- fdensityintra(fnet[, , 1], lftm)
desmat[9, 2] <- fdensityintra(fnet[, , 2], lftm)
desmat[9, 3] <- fdensityintra(fnet[, , 3], lftm)
desmat[10, 1] <- fdensityinter(fnet[, , 1], lftm)
desmat[10, 2] <- fdensityinter(fnet[, , 2], lftm)
desmat[10, 3] <- fdensityinter(fnet[, , 3], lftm)

desmat[1, 1 + 3] <- fdensity(atmnet[, , 1])
desmat[1, 2 + 3] <- fdensity(atmnet[, , 2])
desmat[1, 3 + 3] <- fdensity(atmnet[, , 3])
desmat[2, 1 + 3] <- fdensityintra(atmnet[, , 1], vrouwm)
desmat[2, 2 + 3] <- fdensityintra(atmnet[, , 2], vrouwm)
desmat[2, 3 + 3] <- fdensityintra(atmnet[, , 3], vrouwm)
desmat[3, 1 + 3] <- fdensityinter(atmnet[, , 1], vrouwm)
desmat[3, 2 + 3] <- fdensityinter(atmnet[, , 2], vrouwm)
desmat[3, 3 + 3] <- fdensityinter(atmnet[, , 3], vrouwm)
desmat[4, 1 + 3] <- fdensityintra(atmnet[, , 1], partijm)
desmat[4, 2 + 3] <- fdensityintra(atmnet[, , 2], partijm)
desmat[4, 3 + 3] <- fdensityintra(atmnet[, , 3], partijm)
desmat[5, 1 + 3] <- fdensityinter(atmnet[, , 1], partijm)
desmat[5, 2 + 3] <- fdensityinter(atmnet[, , 2], partijm)
desmat[5, 3 + 3] <- fdensityinter(atmnet[, , 3], partijm)
desmat[6, 1 + 3] <- fdensityintra(atmnet[, , 1], ethminzm)
desmat[6, 2 + 3] <- fdensityintra(atmnet[, , 2], ethminzm)
desmat[6, 3 + 3] <- fdensityintra(atmnet[, , 3], ethminzm)
desmat[7, 1 + 3] <- fdensityinter(atmnet[, , 1], ethminzm)
desmat[7, 2 + 3] <- fdensityinter(atmnet[, , 2], ethminzm)
desmat[7, 3 + 3] <- fdensityinter(atmnet[, , 3], ethminzm)
desmat[8, 1 + 3] <- fdensityinter(atmnet[, , 1], minoritym)
desmat[8, 2 + 3] <- fdensityinter(atmnet[, , 2], minoritym)
desmat[8, 3 + 3] <- fdensityinter(atmnet[, , 3], minoritym)
desmat[9, 1 + 3] <- fdensityintra(atmnet[, , 1], lftm)
desmat[9, 2 + 3] <- fdensityintra(atmnet[, , 2], lftm)
desmat[9, 3 + 3] <- fdensityintra(atmnet[, , 3], lftm)
desmat[10, 1 + 3] <- fdensityinter(atmnet[, , 1], lftm)
desmat[10, 2 + 3] <- fdensityinter(atmnet[, , 2], lftm)
desmat[10, 3 + 3] <- fdensityinter(atmnet[, , 3], lftm)

desmat[1, 1 + 6] <- fdensity(rtnet[, , 1])
desmat[1, 2 + 6] <- fdensity(rtnet[, , 2])
desmat[1, 3 + 6] <- fdensity(rtnet[, , 3])
desmat[2, 1 + 6] <- fdensityintra(rtnet[, , 1], vrouwm)
desmat[2, 2 + 6] <- fdensityintra(rtnet[, , 2], vrouwm)
desmat[2, 3 + 6] <- fdensityintra(rtnet[, , 3], vrouwm)
desmat[3, 1 + 6] <- fdensityinter(rtnet[, , 1], vrouwm)
desmat[3, 2 + 6] <- fdensityinter(rtnet[, , 2], vrouwm)
desmat[3, 3 + 6] <- fdensityinter(rtnet[, , 3], vrouwm)
desmat[4, 1 + 6] <- fdensityintra(rtnet[, , 1], partijm)
desmat[4, 2 + 6] <- fdensityintra(rtnet[, , 2], partijm)
desmat[4, 3 + 6] <- fdensityintra(rtnet[, , 3], partijm)
desmat[5, 1 + 6] <- fdensityinter(rtnet[, , 1], partijm)
desmat[5, 2 + 6] <- fdensityinter(rtnet[, , 2], partijm)
desmat[5, 3 + 6] <- fdensityinter(rtnet[, , 3], partijm)
desmat[6, 1 + 6] <- fdensityintra(rtnet[, , 1], ethminzm)
desmat[6, 2 + 6] <- fdensityintra(rtnet[, , 2], ethminzm)
desmat[6, 3 + 6] <- fdensityintra(rtnet[, , 3], ethminzm)
desmat[7, 1 + 6] <- fdensityinter(rtnet[, , 1], ethminzm)
desmat[7, 2 + 6] <- fdensityinter(rtnet[, , 2], ethminzm)
desmat[7, 3 + 6] <- fdensityinter(rtnet[, , 3], ethminzm)
desmat[8, 1 + 6] <- fdensityinter(rtnet[, , 1], minoritym)
desmat[8, 2 + 6] <- fdensityinter(rtnet[, , 2], minoritym)
desmat[8, 3 + 6] <- fdensityinter(rtnet[, , 3], minoritym)
desmat[9, 1 + 6] <- fdensityintra(rtnet[, , 1], lftm)
desmat[9, 2 + 6] <- fdensityintra(rtnet[, , 2], lftm)
desmat[9, 3 + 6] <- fdensityintra(rtnet[, , 3], lftm)
desmat[10, 1 + 6] <- fdensityinter(rtnet[, , 1], lftm)
desmat[10, 2 + 6] <- fdensityinter(rtnet[, , 2], lftm)
desmat[10, 3 + 6] <- fdensityinter(rtnet[, , 3], lftm)

colnames(desmat) <- c("friends w1", "friends w2", "friends w3", "atmentions w1", "atmentions w2", "atmentions w3", 
    "retweets w1", "retweets w2", "retweets w3")
rownames(desmat) <- c("total", "same sex", "different sex", "same party", "different party", "same ethnicity", 
    "different ethnicity", "both minority", "same age (<6)", "different age (>5)")
desmat
#>                     friends w1 friends w2 friends w3 atmentions w1 atmentions w2 atmentions w3
#> total                0.2545583  0.2794521  0.2797969    0.04912612    0.03500236   0.013465660
#> same sex             0.2630408  0.2887662  0.2883167    0.05278618    0.03569521   0.013750219
#> different sex        0.2449678  0.2689211  0.2701115    0.04498792    0.03421900   0.013142174
#> same party           0.7091278  0.7334686  0.7415459    0.19918864    0.14239351   0.063607085
#> different party      0.1946538  0.2196204  0.2193593    0.02935044    0.02085004   0.006902729
#> same ethnicity       0.2655497  0.2885362  0.2885929    0.04926514    0.03574368   0.013491604
#> different ethnicity  0.2096154  0.2423077  0.2435592    0.04855769    0.03197115   0.013358779
#> both minority        0.2537506  0.2786431  0.2790029    0.04859054    0.03497372   0.013570823
#> same age (<6)        0.2933009  0.3137704  0.3131586    0.05868881    0.03693100   0.014668186
#> different age (>5)   0.2354766  0.2625494  0.2635734    0.04441624    0.03405245   0.012880886
#>                     retweets w1 retweets w2 retweets w3
#> total               0.046008503  0.03401361  0.03373404
#> same sex            0.045753961  0.03363111  0.03284288
#> different sex       0.046296296  0.03444843  0.03474711
#> same party          0.335496957  0.25040258  0.24798712
#> different party     0.007858861  0.00569080  0.00569080
#> same ethnicity      0.047971781  0.03491604  0.03381587
#> different ethnicity 0.037980769  0.03029580  0.03339695
#> both minority       0.045723841  0.03402130  0.03355009
#> same age (<6)       0.052247352  0.03716890  0.03702649
#> different age (>5)  0.042935702  0.03247922  0.03213296
# we observe a lot of homophily. Mainly big difference in density between and whithin political parties. Homophily is not that strong across social dimensions.

4 Coleman homophily index

# Because size of different subgroups vary and number of out-degrees differs between MPs, whitin party densities might be higher when MPs randomly select partner/alter. Segregation will partly be structully induced by differences in relative groups sizes and activity on twitter. Coleman's homophily index: takes relative group sizes and differences into account. 0 -> observed number of within-group ties is the same as would be expected under random choice. 1 -> maximum segregation. -1 -> MPs maximally avoid within group relations.
colmat <- matrix(NA, nrow = 3, ncol = 9)

colmat[1, 1] <- fscolnet(fnet[, , 1], partij)
colmat[1, 2] <- fscolnet(fnet[, , 2], partij)
colmat[1, 3] <- fscolnet(fnet[, , 3], partij)
colmat[1, 4] <- fscolnet(atmnet[, , 1], partij)
colmat[1, 5] <- fscolnet(atmnet[, , 2], partij)
colmat[1, 6] <- fscolnet(atmnet[, , 3], partij)
colmat[1, 7] <- fscolnet(rtnet[, , 1], partij)
colmat[1, 8] <- fscolnet(rtnet[, , 2], partij)
colmat[1, 9] <- fscolnet(rtnet[, , 3], partij)

colmat[2, 1] <- fscolnet(fnet[, , 1], vrouw)
colmat[2, 2] <- fscolnet(fnet[, , 2], vrouw)
colmat[2, 3] <- fscolnet(fnet[, , 3], vrouw)
colmat[2, 4] <- fscolnet(atmnet[, , 1], vrouw)
colmat[2, 5] <- fscolnet(atmnet[, , 2], vrouw)
colmat[2, 6] <- fscolnet(atmnet[, , 3], vrouw)
colmat[2, 7] <- fscolnet(rtnet[, , 1], vrouw)
colmat[2, 8] <- fscolnet(rtnet[, , 2], vrouw)
colmat[2, 9] <- fscolnet(rtnet[, , 3], vrouw)

colmat[3, 1] <- fscolnet(fnet[, , 1], ethminz)
colmat[3, 2] <- fscolnet(fnet[, , 2], ethminz)
colmat[3, 3] <- fscolnet(fnet[, , 3], ethminz)
colmat[3, 4] <- fscolnet(atmnet[, , 1], ethminz)
colmat[3, 5] <- fscolnet(atmnet[, , 2], ethminz)
colmat[3, 6] <- fscolnet(atmnet[, , 3], ethminz)
colmat[3, 7] <- fscolnet(rtnet[, , 1], ethminz)
colmat[3, 8] <- fscolnet(rtnet[, , 2], ethminz)
colmat[3, 9] <- fscolnet(rtnet[, , 3], ethminz)

colnames(colmat) <- c("friends w1", "friends w2", "friends w3", "atmentions w1", "atmentions w2", "atmentions w3", 
    "retweets w1", "retweets w2", "retweets w3")
rownames(colmat) <- c("party", "sex", "ethnicity")
colmat
#>           friends w1 friends w2 friends w3 atmentions w1 atmentions w2 atmentions w3  retweets w1
#> party     0.23290292 0.21197422 0.21310665    0.39147672   0.399713437    0.48111606  0.804211725
#> sex       0.04624336 0.04080333 0.04272129    0.07421140   0.032149289    0.04699739 -0.005381047
#> ethnicity 0.12122258 0.09821319 0.09889074   -0.03010028  -0.004564059   -0.02078296  0.051678853
#>            retweets w2  retweets w3
#> party      0.803175327  0.802304023
#> sex       -0.029967472 -0.011929039
#> ethnicity -0.007183535 -0.006536557
# Mostly segregation within retweet network and along parties

5 RSiena

# defining myeff object
library(RSiena)
myeff <- getEffects(mydata)
myeff
#>    name   effectName                      include fix   test  initialValue parm
#> 1  fnet   constant fnet rate (period 1)   TRUE    FALSE FALSE    7.22021   0   
#> 2  fnet   constant fnet rate (period 2)   TRUE    FALSE FALSE    3.79571   0   
#> 3  fnet   fnet: outdegree (density)       TRUE    FALSE FALSE    0.00000   0   
#> 4  fnet   fnet: reciprocity               TRUE    FALSE FALSE    0.00000   0   
#> 5  atmnet constant atmnet rate (period 1) TRUE    FALSE FALSE   16.26089   0   
#> 6  atmnet constant atmnet rate (period 2) TRUE    FALSE FALSE    9.17902   0   
#> 7  atmnet atmnet: outdegree (density)     TRUE    FALSE FALSE   -1.76137   0   
#> 8  atmnet atmnet: reciprocity             TRUE    FALSE FALSE    0.00000   0   
#> 9  rtnet  constant rtnet rate (period 1)  TRUE    FALSE FALSE   10.98716   0   
#> 10 rtnet  constant rtnet rate (period 2)  TRUE    FALSE FALSE    9.39819   0   
#> 11 rtnet  rtnet: outdegree (density)      TRUE    FALSE FALSE   -1.61392   0   
#> 12 rtnet  rtnet: reciprocity              TRUE    FALSE FALSE    0.00000   0
myeff_m1 <- myeff
myeff_m1 <- includeEffects(myeff_m1, sameX, interaction1 = "partij", name = "rtnet")
#>   effectName         include fix   test  initialValue parm
#> 1 rtnet: same partij TRUE    FALSE FALSE          0   0
# I used a seed so you will probably see the same results
myalgorithm <- sienaAlgorithmCreate(projname = "test", seed = 345654)
#> If you use this algorithm object, siena07 will create/use an output file test.txt .

6 estimate models

# to speed things up a bit, I am using more cores.
ansM1 <- siena07(myalgorithm, data = mydata, effects = myeff_m1, useCluster = TRUE, nbrNodes = 4, initC = TRUE, 
    batch = TRUE)
ansM1b <- siena07(myalgorithm, data = mydata, prevAns = ansM1, effects = myeff_m1, useCluster = TRUE, 
    nbrNodes = 4, initC = TRUE, batch = TRUE)
ansM1c <- siena07(myalgorithm, data = mydata, prevAns = ansM1b, effects = myeff_m1, useCluster = TRUE, 
    nbrNodes = 4, initC = TRUE, batch = TRUE)

save(ansM1, file = "ansM1a.RData")
save(ansM1b, file = "ansM1b.RData")
save(ansM1c, file = "ansM1c.RData")
load("ansM1a.RData")
load("ansM1b.RData")
load("ansM1c.RData")
ansM1
#> Estimates, standard errors and convergence t-ratios
#> 
#>                                            Estimate   Standard   Convergence 
#>                                                         Error      t-ratio   
#>    1. rate constant fnet rate (period 1)    3.7091  ( 0.1678   )    0.0802   
#>    2. rate constant fnet rate (period 2)    1.9690  ( 0.1206   )   -0.0329   
#>    3. eval fnet: outdegree (density)       -0.6588  ( 0.0876   )    0.0250   
#>    4. eval fnet: reciprocity                0.8762  ( 0.0907   )   -0.0133   
#>    5. rate constant atmnet rate (period 1) 25.7496  ( 1.8713   )    0.0220   
#>    6. rate constant atmnet rate (period 2)  9.6467  ( 0.6387   )    0.0098   
#>    7. eval atmnet: outdegree (density)     -2.3452  ( 0.0321   )   -0.0936   
#>    8. eval atmnet: reciprocity              1.7004  ( 0.0727   )   -0.0577   
#>    9. rate constant rtnet rate (period 1)  13.4141  ( 0.8603   )    0.0133   
#>   10. rate constant rtnet rate (period 2)  12.1080  ( 0.9050   )    0.0024   
#>   11. eval rtnet: outdegree (density)      -2.8349  ( 0.0465   )   -0.0047   
#>   12. eval rtnet: reciprocity               0.8781  ( 0.0643   )    0.0307   
#>   13. eval rtnet: same partij               1.8582  ( 0.0583   )    0.0427   
#> 
#> Overall maximum convergence ratio:    0.1963 
#> 
#> 
#> Total of 2158 iteration steps.
ansM1b
#> Estimates, standard errors and convergence t-ratios
#> 
#>                                            Estimate   Standard   Convergence 
#>                                                         Error      t-ratio   
#>    1. rate constant fnet rate (period 1)    3.7037  ( 0.1701   )    0.0505   
#>    2. rate constant fnet rate (period 2)    1.9687  ( 0.1205   )   -0.0350   
#>    3. eval fnet: outdegree (density)       -0.6541  ( 0.0844   )   -0.0026   
#>    4. eval fnet: reciprocity                0.8756  ( 0.0841   )    0.0061   
#>    5. rate constant atmnet rate (period 1) 25.7211  ( 1.8487   )    0.0565   
#>    6. rate constant atmnet rate (period 2)  9.6449  ( 0.5197   )   -0.0190   
#>    7. eval atmnet: outdegree (density)     -2.3452  ( 0.0297   )   -0.0472   
#>    8. eval atmnet: reciprocity              1.7000  ( 0.0703   )   -0.0012   
#>    9. rate constant rtnet rate (period 1)  13.3847  ( 0.8180   )    0.0404   
#>   10. rate constant rtnet rate (period 2)  12.0998  ( 0.7632   )    0.0072   
#>   11. eval rtnet: outdegree (density)      -2.8343  ( 0.0503   )   -0.0190   
#>   12. eval rtnet: reciprocity               0.8758  ( 0.0614   )   -0.0285   
#>   13. eval rtnet: same partij               1.8582  ( 0.0601   )    0.0178   
#> 
#> Overall maximum convergence ratio:    0.1857 
#> 
#> 
#> Total of 2104 iteration steps.
ansM1c
#> Estimates, standard errors and convergence t-ratios
#> 
#>                                            Estimate   Standard   Convergence 
#>                                                         Error      t-ratio   
#>    1. rate constant fnet rate (period 1)    3.7053  ( 0.1674   )   -0.0270   
#>    2. rate constant fnet rate (period 2)    1.9683  ( 0.1254   )    0.0579   
#>    3. eval fnet: outdegree (density)       -0.6570  ( 0.0852   )   -0.0352   
#>    4. eval fnet: reciprocity                0.8753  ( 0.0933   )   -0.0508   
#>    5. rate constant atmnet rate (period 1) 25.7437  ( 1.4522   )   -0.0013   
#>    6. rate constant atmnet rate (period 2)  9.6502  ( 0.5618   )    0.0395   
#>    7. eval atmnet: outdegree (density)     -2.3453  ( 0.0304   )   -0.0235   
#>    8. eval atmnet: reciprocity              1.7011  ( 0.0645   )    0.0050   
#>    9. rate constant rtnet rate (period 1)  13.3964  ( 0.8279   )    0.0523   
#>   10. rate constant rtnet rate (period 2)  12.0945  ( 0.8603   )   -0.0005   
#>   11. eval rtnet: outdegree (density)      -2.8322  ( 0.0500   )   -0.0197   
#>   12. eval rtnet: reciprocity               0.8779  ( 0.0625   )    0.0133   
#>   13. eval rtnet: same partij               1.8551  ( 0.0569   )    0.0097   
#> 
#> Overall maximum convergence ratio:    0.1471 
#> 
#> 
#> Total of 2078 iteration steps.

7 research question 1

#To what extent do we observe segregation along party affiliation in the retweet network among Dutch MPs?

# Answer: the eval same partij is 1.8551. This means that we observe strong segregation along pary affiliation: people are more likely to have ties with people from the same party.

8 research question 2, 3 and 4

#research question 1
myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, sameX, interaction1 = "partij", name = "rtnet")
#>   effectName         include fix   test  initialValue parm
#> 1 rtnet: same partij TRUE    FALSE FALSE          0   0
#research question 2

myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, sameX, interaction1 = "vrouw", name = "rtnet")
#>   effectName        include fix   test  initialValue parm
#> 1 rtnet: same vrouw TRUE    FALSE FALSE          0   0
myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, sameX, interaction1 = "lft", name = "rtnet")
#>   effectName      include fix   test  initialValue parm
#> 1 rtnet: same lft TRUE    FALSE FALSE          0   0
#research question 3: propinquity -> not sure if I am doing this the right way?

myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, X, interaction1 = "afstand", name = "rtnet")
#>   effectName     include fix   test  initialValue parm
#> 1 rtnet: afstand TRUE    FALSE FALSE          0   0
# research question 4: structural effects are reciprocity and transitivity. Effects depending on network only.

myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, recip, name = "rtnet")
#>   effectName         include fix   test  initialValue parm
#> 1 rtnet: reciprocity TRUE    FALSE FALSE          0   0
myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, transTrip, name = "rtnet")
#>   effectName                 include fix   test  initialValue parm
#> 1 rtnet: transitive triplets TRUE    FALSE FALSE          0   0
# I used a seed so you will probably see the same results
myalgorithm <- sienaAlgorithmCreate(projname = "test", seed = 345654)
#> If you use this algorithm object, siena07 will create/use an output file test.txt .
load("ansM2a.RData")
load("ansM2b.RData")
load("ansM2c.RData")
ansM2
#> Estimates, standard errors and convergence t-ratios
#> 
#>                                            Estimate   Standard   Convergence 
#>                                                         Error      t-ratio   
#>    1. rate constant fnet rate (period 1)    3.7085  ( 0.1714   )    0.0372   
#>    2. rate constant fnet rate (period 2)    1.9696  ( 0.1230   )    0.0724   
#>    3. eval fnet: outdegree (density)       -0.6582  ( 0.0816   )   -0.0148   
#>    4. eval fnet: reciprocity                0.8765  ( 0.0913   )   -0.0204   
#>    5. rate constant atmnet rate (period 1) 25.8514  ( 2.1960   )    0.1187   
#>    6. rate constant atmnet rate (period 2)  9.6315  ( 0.5393   )   -0.0152   
#>    7. eval atmnet: outdegree (density)     -2.3436  ( 0.0295   )   -0.0701   
#>    8. eval atmnet: reciprocity              1.7015  ( 0.0702   )   -0.0815   
#>    9. rate constant rtnet rate (period 1)  12.8580  ( 0.8342   )   -0.0031   
#>   10. rate constant rtnet rate (period 2)  11.3612  ( 0.9477   )   -0.0006   
#>   11. eval rtnet: outdegree (density)      -2.3176  ( 0.0269   )    0.0051   
#>   12. eval rtnet: reciprocity               0.9706  ( 0.0814   )    0.0236   
#>   13. eval rtnet: transitive triplets       0.1672  ( 0.0079   )    0.0284   
#> 
#> Overall maximum convergence ratio:    0.1962 
#> 
#> 
#> Total of 2258 iteration steps.
summary(ansM2)
#> Estimates, standard errors and convergence t-ratios
#> 
#>                                            Estimate   Standard   Convergence 
#>                                                         Error      t-ratio   
#>    1. rate constant fnet rate (period 1)    3.7085  ( 0.1714   )    0.0372   
#>    2. rate constant fnet rate (period 2)    1.9696  ( 0.1230   )    0.0724   
#>    3. eval fnet: outdegree (density)       -0.6582  ( 0.0816   )   -0.0148   
#>    4. eval fnet: reciprocity                0.8765  ( 0.0913   )   -0.0204   
#>    5. rate constant atmnet rate (period 1) 25.8514  ( 2.1960   )    0.1187   
#>    6. rate constant atmnet rate (period 2)  9.6315  ( 0.5393   )   -0.0152   
#>    7. eval atmnet: outdegree (density)     -2.3436  ( 0.0295   )   -0.0701   
#>    8. eval atmnet: reciprocity              1.7015  ( 0.0702   )   -0.0815   
#>    9. rate constant rtnet rate (period 1)  12.8580  ( 0.8342   )   -0.0031   
#>   10. rate constant rtnet rate (period 2)  11.3612  ( 0.9477   )   -0.0006   
#>   11. eval rtnet: outdegree (density)      -2.3176  ( 0.0269   )    0.0051   
#>   12. eval rtnet: reciprocity               0.9706  ( 0.0814   )    0.0236   
#>   13. eval rtnet: transitive triplets       0.1672  ( 0.0079   )    0.0284   
#> 
#> Overall maximum convergence ratio:    0.1962 
#> 
#> 
#> Total of 2258 iteration steps.
#> 
#> Covariance matrix of estimates (correlations below diagonal)
#> 
#>        0.029        0.001        0.000        0.000       -0.044        0.004        0.000        0.000        0.002        0.001        0.000        0.001        0.000
#>        0.032        0.015        0.000        0.000        0.003        0.010        0.000        0.000       -0.001       -0.010        0.000        0.000        0.000
#>       -0.020       -0.028        0.007       -0.002        0.001       -0.004        0.000        0.000        0.002       -0.005        0.000        0.000        0.000
#>       -0.018       -0.030       -0.334        0.008       -0.022       -0.002        0.000        0.000        0.002        0.007        0.000        0.000        0.000
#>       -0.117        0.012        0.003       -0.108        4.822       -0.218        0.016        0.010        0.043       -0.065        0.008        0.006       -0.002
#>        0.043        0.155       -0.081       -0.037       -0.184        0.291        0.002        0.000       -0.015        0.032        0.000       -0.002        0.000
#>       -0.044        0.021       -0.019       -0.032        0.246        0.098        0.001       -0.001        0.000        0.003        0.000        0.000        0.000
#>       -0.037        0.010       -0.033        0.013        0.063        0.006       -0.503        0.005        0.006       -0.009        0.000        0.000        0.000
#>        0.013       -0.008        0.031        0.030        0.023       -0.033        0.001        0.101        0.696       -0.094        0.003       -0.006        0.001
#>        0.006       -0.090       -0.065        0.080       -0.031        0.063        0.096       -0.134       -0.118        0.898        0.002       -0.001        0.001
#>        0.034        0.023       -0.057        0.033        0.131        0.011        0.016        0.036        0.135        0.076        0.001        0.000        0.000
#>        0.043        0.031       -0.011        0.000        0.031       -0.036        0.028       -0.010       -0.085       -0.017       -0.183        0.007        0.000
#>       -0.045       -0.049        0.051        0.056       -0.107       -0.015       -0.028       -0.015        0.117        0.132       -0.273       -0.590        0.000
#> 
#> Derivative matrix of expected statistics X by parameters:
#> 
#>      128.526        0.000      128.526       79.417        0.771        0.000        0.903        1.418       -8.237        0.000       -1.305        4.061       71.700
#>        0.000      136.933       25.571        9.374        0.000      -10.480        0.984        1.342        0.000       -0.999       -2.402        4.962       55.345
#>        6.860        6.533      216.498      142.640        3.748       17.440      -14.008       -0.899       -1.969        6.017        8.885        4.009      -60.461
#>        9.702        1.068       74.618      328.887       -0.507        8.232       -8.793      -10.173       -3.871        1.331      -23.701      -19.827     -312.993
#>        1.409        0.000        1.409        2.492        8.184        0.000       -7.990       -4.026       -0.264        0.000       -1.084        0.481       15.640
#>        0.000       -4.716        0.928        1.635        0.000       39.729      -21.548      -11.125        0.000       -1.696        4.048        5.126       54.897
#>       16.269        0.090       18.652       -9.026      317.445      123.500     1312.693      597.160      -23.900      -12.684       98.144       13.643      647.445
#>       17.517        1.608       20.846       -5.928       14.491       -7.402      318.589      399.385       -6.070       -3.638       13.546       -2.805       -3.067
#>       -0.609        0.000       -0.609       -1.188       -1.317        0.000       -1.530       -2.475       27.643        0.000      -15.207       -6.516      -39.421
#>        0.000        1.790        0.380       -1.176        0.000       -0.959        0.013        1.345        0.000       21.210      -13.597       -7.663      -59.768
#>      -41.340       -8.811      -24.646      -83.592      -16.243       40.849        3.948       10.778       33.946      166.028     1789.982      853.548     7874.136
#>       -1.235        4.262       10.291       -9.092        0.641       17.783      -15.141       -8.385      -59.466      -15.642      484.615      612.355     4992.638
#>       33.511       84.710       76.193     -157.316       26.113       75.523     -128.954       -2.728     -927.912     -456.791     6178.390     6374.010    85199.442
#> 
#> Covariance matrix of X (correlations below diagonal):
#> 
#>      475.173       10.433      475.436      293.147        6.688        5.887      -18.736       -0.951      -32.431       -0.030        0.596       33.001      235.554
#>        0.029      273.831       63.018       18.980       11.561      -17.447       -1.491        1.260       -8.541       -1.994       18.751       40.483      377.441
#>        0.802        0.140      740.467      467.588       -3.261       10.606      -42.778      -10.862      -26.648       -7.528       40.267       89.046      741.055
#>        0.440        0.038        0.562      933.831        0.354      -11.716      -38.631      -35.566      -30.390        4.351      -18.637       31.195      108.255
#>        0.014        0.032       -0.005        0.001      484.576       -1.106      129.741       -3.350      -17.403       18.322       20.507       12.364      338.723
#>        0.012       -0.048        0.018       -0.018       -0.002      475.215      -11.696      -53.909       -7.009        6.698       62.855       38.371      274.767
#>       -0.027       -0.003       -0.049       -0.040        0.185       -0.017     1017.535      496.515        6.810        4.082       30.662      -18.737       63.310
#>       -0.002        0.003       -0.017       -0.050       -0.006       -0.105        0.662      552.029        9.782      -16.411       30.278      -10.367      -20.366
#>       -0.063       -0.022       -0.042       -0.042       -0.034       -0.014        0.009        0.018      555.151      -31.120     -116.888     -174.349    -1485.992
#>        0.000       -0.006       -0.013        0.007        0.040        0.015        0.006       -0.033       -0.063      436.871       35.945      -52.564     -549.689
#>        0.001        0.027        0.035       -0.014        0.022        0.068        0.023        0.030       -0.117        0.040     1807.012     1205.748    12783.390
#>        0.040        0.065        0.087        0.027        0.015        0.047       -0.016       -0.012       -0.196       -0.067        0.750     1429.426    14884.154
#>        0.023        0.049        0.059        0.008        0.033        0.027        0.004       -0.002       -0.137       -0.057        0.652        0.853   213035.965
ansM2b
#> Estimates, standard errors and convergence t-ratios
#> 
#>                                            Estimate   Standard   Convergence 
#>                                                         Error      t-ratio   
#>    1. rate constant fnet rate (period 1)    3.7045  ( 0.1685   )    0.0021   
#>    2. rate constant fnet rate (period 2)    1.9699  ( 0.1174   )    0.0444   
#>    3. eval fnet: outdegree (density)       -0.6560  ( 0.0859   )   -0.0133   
#>    4. eval fnet: reciprocity                0.8762  ( 0.0873   )   -0.0010   
#>    5. rate constant atmnet rate (period 1) 25.7332  ( 1.8144   )    0.0375   
#>    6. rate constant atmnet rate (period 2)  9.6330  ( 0.5367   )    0.0383   
#>    7. eval atmnet: outdegree (density)     -2.3455  ( 0.0307   )   -0.0167   
#>    8. eval atmnet: reciprocity              1.7010  ( 0.0697   )   -0.0210   
#>    9. rate constant rtnet rate (period 1)  12.8752  ( 0.7444   )   -0.0419   
#>   10. rate constant rtnet rate (period 2)  11.3581  ( 0.7501   )    0.0830   
#>   11. eval rtnet: outdegree (density)      -2.3177  ( 0.0258   )   -0.0406   
#>   12. eval rtnet: reciprocity               0.9709  ( 0.0785   )   -0.0114   
#>   13. eval rtnet: transitive triplets       0.1674  ( 0.0077   )   -0.0234   
#> 
#> Overall maximum convergence ratio:    0.1393 
#> 
#> 
#> Total of 2106 iteration steps.
summary(ansM2b)
#> Estimates, standard errors and convergence t-ratios
#> 
#>                                            Estimate   Standard   Convergence 
#>                                                         Error      t-ratio   
#>    1. rate constant fnet rate (period 1)    3.7045  ( 0.1685   )    0.0021   
#>    2. rate constant fnet rate (period 2)    1.9699  ( 0.1174   )    0.0444   
#>    3. eval fnet: outdegree (density)       -0.6560  ( 0.0859   )   -0.0133   
#>    4. eval fnet: reciprocity                0.8762  ( 0.0873   )   -0.0010   
#>    5. rate constant atmnet rate (period 1) 25.7332  ( 1.8144   )    0.0375   
#>    6. rate constant atmnet rate (period 2)  9.6330  ( 0.5367   )    0.0383   
#>    7. eval atmnet: outdegree (density)     -2.3455  ( 0.0307   )   -0.0167   
#>    8. eval atmnet: reciprocity              1.7010  ( 0.0697   )   -0.0210   
#>    9. rate constant rtnet rate (period 1)  12.8752  ( 0.7444   )   -0.0419   
#>   10. rate constant rtnet rate (period 2)  11.3581  ( 0.7501   )    0.0830   
#>   11. eval rtnet: outdegree (density)      -2.3177  ( 0.0258   )   -0.0406   
#>   12. eval rtnet: reciprocity               0.9709  ( 0.0785   )   -0.0114   
#>   13. eval rtnet: transitive triplets       0.1674  ( 0.0077   )   -0.0234   
#> 
#> Overall maximum convergence ratio:    0.1393 
#> 
#> 
#> Total of 2106 iteration steps.
#> 
#> Covariance matrix of estimates (correlations below diagonal)
#> 
#>        0.028        0.000        0.000        0.000       -0.005        0.003        0.000        0.000        0.002       -0.001        0.000       -0.001        0.000
#>       -0.008        0.014        0.000        0.000        0.004        0.002        0.000        0.000       -0.001       -0.003        0.000        0.000        0.000
#>       -0.006        0.026        0.007       -0.003        0.002       -0.001        0.000        0.000        0.004        0.002        0.000        0.000        0.000
#>        0.028       -0.012       -0.349        0.008        0.005        0.002        0.000        0.000       -0.001        0.005        0.000        0.000        0.000
#>       -0.015        0.020        0.010        0.033        3.292       -0.105        0.005        0.015       -0.070       -0.046        0.002       -0.007        0.001
#>        0.029        0.038       -0.020        0.040       -0.107        0.288        0.002       -0.002        0.002       -0.013        0.000        0.001        0.000
#>       -0.036        0.024        0.030       -0.009        0.095        0.101        0.001       -0.001       -0.003        0.000        0.000        0.000        0.000
#>        0.009       -0.046       -0.044        0.051        0.115       -0.046       -0.566        0.005        0.003        0.002        0.000        0.000        0.000
#>        0.015       -0.012        0.056       -0.018       -0.052        0.005       -0.120        0.060        0.554       -0.014       -0.002        0.000        0.001
#>       -0.008       -0.031        0.033        0.082       -0.034       -0.031       -0.015        0.031       -0.026        0.563        0.002        0.002        0.000
#>        0.088        0.028        0.030       -0.010        0.050       -0.024        0.003        0.023       -0.119        0.087        0.001        0.000        0.000
#>       -0.042       -0.053       -0.042        0.035       -0.052        0.034       -0.104        0.039        0.008        0.036       -0.150        0.006        0.000
#>        0.031        0.054        0.044        0.002        0.084       -0.024       -0.016        0.015        0.144       -0.019       -0.316       -0.554        0.000
#> 
#> Derivative matrix of expected statistics X by parameters:
#> 
#>      132.001        0.000      132.001       78.205       -0.419        0.000        0.560       -0.578       -5.624        0.000       -9.433       -3.588      -63.363
#>        0.000      143.336       24.312       13.868        0.000       -0.988       11.436        8.494        0.000       -7.624        5.001        8.654       70.425
#>        9.438       -3.822      201.911      132.867        1.188      -12.446       -5.682        4.620       -2.073      -16.442      -19.819      -11.035     -265.084
#>        2.207        0.834       68.064      340.935       -2.288       -4.661        4.824       -6.466       -3.449      -12.837       -1.627      -13.191     -170.777
#>        0.120        0.000        0.120       -0.704       10.466        0.000       -7.654       -4.442        0.826        0.000       -2.414       -1.520      -24.818
#>        0.000       -1.465        0.648       -2.979        0.000       36.535      -18.254       -8.021        0.000        1.537        0.475       -0.197        3.198
#>       44.234       16.597       45.186       51.372      308.854      170.580     1285.889      599.944       23.361       14.580      141.005      165.064     1982.835
#>        2.527        5.228       11.673       -8.134       37.355        0.214      359.140      422.776        3.847        9.716        8.437       12.457      310.101
#>       -0.503        0.000       -0.503       -0.226        1.316        0.000        0.422       -0.339       32.618        0.000       -5.896       -5.867      -26.454
#>        0.000        0.828       -0.785       -1.300        0.000        0.708       -0.980       -0.542        0.000       27.420       -9.793       -5.010      -10.257
#>      -76.865       -5.255      -97.882      -29.379      -13.612       -5.313       -6.050       12.425      105.152      138.410     1792.920      828.454     7755.612
#>       -2.782        9.654       -2.815       -0.662       14.960        8.059        9.636       10.521      -48.117      -32.742      448.229      573.386     4535.969
#>     -124.877        5.079     -193.397     -147.635       43.954       76.330      115.137      150.319     -697.006     -360.832     5974.511     6157.446    84409.823
#> 
#> Covariance matrix of X (correlations below diagonal):
#> 
#>      489.098       -4.965      500.211      311.469        0.082       17.648        6.032       -8.461      -22.243       -5.477       -9.174       -2.913      -25.911
#>       -0.013      281.345       43.506       26.596       11.703       -0.915       22.848        6.135       -6.707      -12.531       42.876       43.643      499.696
#>        0.821        0.094      759.369      478.845       12.199       10.450        3.728        0.311       -5.621      -22.478      -17.695       -1.563      -66.404
#>        0.453        0.051        0.559      966.493        1.830       -0.227       51.104       -5.494      -22.969        5.158       21.673        1.973     -124.580
#>        0.000        0.032        0.020        0.003      469.194       26.148       98.612        6.617       12.258      -14.610       11.759       35.318      364.504
#>        0.038       -0.003        0.018        0.000        0.058      432.763       12.927      -54.485      -12.887        9.209        8.718       27.098      277.994
#>        0.008        0.042        0.004        0.050        0.139        0.019     1076.000      536.826      -31.760       16.589        4.462       -2.975      422.848
#>       -0.016        0.015        0.000       -0.007        0.013       -0.109        0.681      577.934        0.092       24.325       26.711       19.619      563.570
#>       -0.042       -0.017       -0.009       -0.031        0.024       -0.026       -0.041        0.000      570.745        0.793      -74.531     -138.124     -877.109
#>       -0.012       -0.035       -0.038        0.008       -0.031        0.021        0.024        0.047        0.002      461.019       -3.672     -106.269     -991.484
#>       -0.010        0.060       -0.015        0.016        0.013        0.010        0.003        0.026       -0.073       -0.004     1803.940     1192.547    13034.998
#>       -0.004        0.070       -0.002        0.002        0.044        0.035       -0.002        0.022       -0.156       -0.134        0.760     1366.422    14767.366
#>       -0.003        0.064       -0.005       -0.009        0.036        0.029        0.028        0.050       -0.078       -0.099        0.655        0.853   219594.082
ansM2c
#> Estimates, standard errors and convergence t-ratios
#> 
#>                                            Estimate   Standard   Convergence 
#>                                                         Error      t-ratio   
#>    1. rate constant fnet rate (period 1)    3.7037  ( 0.1684   )    0.0450   
#>    2. rate constant fnet rate (period 2)    1.9693  ( 0.1238   )    0.0014   
#>    3. eval fnet: outdegree (density)       -0.6518  ( 0.0835   )    0.0549   
#>    4. eval fnet: reciprocity                0.8754  ( 0.0939   )    0.0205   
#>    5. rate constant atmnet rate (period 1) 25.7350  ( 1.3232   )    0.0001   
#>    6. rate constant atmnet rate (period 2)  9.6373  ( 0.5570   )   -0.0062   
#>    7. eval atmnet: outdegree (density)     -2.3441  ( 0.0327   )   -0.0171   
#>    8. eval atmnet: reciprocity              1.6996  ( 0.0679   )   -0.0428   
#>    9. rate constant rtnet rate (period 1)  12.9186  ( 0.6778   )   -0.0010   
#>   10. rate constant rtnet rate (period 2)  11.3854  ( 0.7948   )    0.0633   
#>   11. eval rtnet: outdegree (density)      -2.3177  ( 0.0272   )   -0.0316   
#>   12. eval rtnet: reciprocity               0.9705  ( 0.0762   )   -0.0090   
#>   13. eval rtnet: transitive triplets       0.1674  ( 0.0076   )   -0.0353   
#> 
#> Overall maximum convergence ratio:    0.1232 
#> 
#> 
#> Total of 2014 iteration steps.
summary(ansM2c)
#> Estimates, standard errors and convergence t-ratios
#> 
#>                                            Estimate   Standard   Convergence 
#>                                                         Error      t-ratio   
#>    1. rate constant fnet rate (period 1)    3.7037  ( 0.1684   )    0.0450   
#>    2. rate constant fnet rate (period 2)    1.9693  ( 0.1238   )    0.0014   
#>    3. eval fnet: outdegree (density)       -0.6518  ( 0.0835   )    0.0549   
#>    4. eval fnet: reciprocity                0.8754  ( 0.0939   )    0.0205   
#>    5. rate constant atmnet rate (period 1) 25.7350  ( 1.3232   )    0.0001   
#>    6. rate constant atmnet rate (period 2)  9.6373  ( 0.5570   )   -0.0062   
#>    7. eval atmnet: outdegree (density)     -2.3441  ( 0.0327   )   -0.0171   
#>    8. eval atmnet: reciprocity              1.6996  ( 0.0679   )   -0.0428   
#>    9. rate constant rtnet rate (period 1)  12.9186  ( 0.6778   )   -0.0010   
#>   10. rate constant rtnet rate (period 2)  11.3854  ( 0.7948   )    0.0633   
#>   11. eval rtnet: outdegree (density)      -2.3177  ( 0.0272   )   -0.0316   
#>   12. eval rtnet: reciprocity               0.9705  ( 0.0762   )   -0.0090   
#>   13. eval rtnet: transitive triplets       0.1674  ( 0.0076   )   -0.0353   
#> 
#> Overall maximum convergence ratio:    0.1232 
#> 
#> 
#> Total of 2014 iteration steps.
#> 
#> Covariance matrix of estimates (correlations below diagonal)
#> 
#>        0.028        0.000       -0.001        0.000       -0.010        0.007        0.000        0.000        0.003        0.000        0.000        0.000        0.000
#>        0.014        0.015        0.000        0.000        0.000        0.000        0.000        0.000        0.001       -0.009        0.000        0.000        0.000
#>       -0.086        0.005        0.007       -0.004        0.003        0.001        0.000        0.000       -0.002       -0.001        0.000        0.000        0.000
#>        0.014       -0.018       -0.481        0.009       -0.013        0.002        0.000        0.000        0.006       -0.003        0.000        0.000        0.000
#>       -0.044       -0.002        0.031       -0.101        1.751       -0.079        0.002        0.020       -0.102       -0.014        0.002       -0.005        0.001
#>        0.071        0.000        0.019        0.045       -0.107        0.310        0.004       -0.002        0.008        0.006        0.001       -0.001        0.000
#>        0.011        0.033       -0.002       -0.011        0.053        0.194        0.001       -0.001       -0.001        0.002        0.000        0.000        0.000
#>        0.003       -0.029       -0.014       -0.030        0.224       -0.058       -0.549        0.005        0.001       -0.002        0.000        0.000        0.000
#>        0.025        0.007       -0.032        0.095       -0.114        0.022       -0.050        0.019        0.459       -0.033        0.001       -0.002        0.000
#>       -0.002       -0.090       -0.013       -0.041       -0.013        0.012        0.074       -0.033       -0.062        0.632        0.004        0.004        0.000
#>        0.016       -0.015       -0.043        0.039        0.053        0.047        0.068       -0.032        0.063        0.163        0.001        0.000        0.000
#>       -0.039       -0.045       -0.007       -0.044       -0.054       -0.021       -0.038       -0.015       -0.041        0.069       -0.204        0.006        0.000
#>        0.008        0.012        0.032       -0.023        0.080       -0.005       -0.019        0.074        0.066       -0.078       -0.307       -0.510        0.000
#> 
#> Derivative matrix of expected statistics X by parameters:
#> 
#>      132.941        0.000      132.941       74.533        8.556        0.000        1.202        0.112        1.988        0.000        6.913        6.781       30.527
#>        0.000      131.107       24.343        5.964        0.000       -4.994       -4.798        1.158        0.000        4.241        7.737        2.612       -0.629
#>       13.273        1.010      239.217      179.315        2.385        0.642       12.087       13.805        2.966        1.527       -3.053       -9.861     -190.410
#>       -2.673       -3.952       78.722      324.716        0.159       -0.581        6.893       12.416       -3.480       -7.993       -1.468        2.382      -13.218
#>        0.833        0.000        0.833        1.522       15.093        0.000      -10.838       -7.113        0.583        0.000       -4.681       -2.521      -38.144
#>        0.000        0.020       -0.730       -3.100        0.000       35.546      -22.704      -11.606        0.000        1.040       -0.219        1.126       11.227
#>      -16.014      -12.629      -18.632       31.995      233.982      111.217     1198.180      585.864       30.629       -5.641      -23.434        3.218     -257.176
#>       -6.814       -0.760        0.818       24.243      -17.422      -10.640      337.481      427.452        7.243        3.119      -39.031      -22.970     -395.754
#>       -0.566        0.000       -0.566       -4.057        1.927        0.000        1.630       -0.902       35.176        0.000      -15.960       -7.706      -28.232
#>        0.000        1.516        0.494        1.300        0.000       -2.423       -1.553       -0.547        0.000       24.568      -10.358       -3.517       32.539
#>       30.438        7.969       29.723        7.063      -15.764       12.843       23.465       28.321       72.829      129.622     1825.646      893.247     8291.916
#>       19.415        6.735       24.296       31.853        4.112       21.385       15.481        9.718      -34.339      -32.576      458.377      589.002     4563.053
#>       54.716      -20.418      -61.003       17.543       38.025      141.614       39.641       37.866     -544.479     -288.619     5969.852     6118.327    83996.091
#> 
#> Covariance matrix of X (correlations below diagonal):
#> 
#>      497.015        4.557      479.707      247.205       33.372       27.958      -10.932       -6.326       10.358        6.643       51.561       37.327      154.597
#>        0.013      261.195       53.199       -4.938        0.942      -10.017       -6.143       -2.699        2.250        6.459        2.683      -12.052     -239.677
#>        0.788        0.121      745.986      409.270       28.333       30.891      -18.142       -1.051       15.429        3.343       17.686        1.186     -448.007
#>        0.386       -0.011        0.522      825.249        6.730        9.724       16.526       34.661      -10.065      -16.674       -4.076       -7.664     -505.453
#>        0.069        0.003        0.048        0.011      467.748       24.730       60.917      -32.060       -8.961        6.235      -21.400       -4.606      -99.846
#>        0.060       -0.030        0.054        0.016        0.055      439.810      -11.807      -72.686       13.563      -14.382       65.693       62.558      522.842
#>       -0.015       -0.012       -0.021        0.018        0.088       -0.018     1029.845      500.205       46.258       16.642       18.497        9.530       -6.607
#>       -0.012       -0.007       -0.002        0.052       -0.063       -0.148        0.667      546.274        6.958        3.525      -11.461        3.445        7.978
#>        0.019        0.006        0.023       -0.014       -0.017        0.027        0.060        0.012      584.649        8.055     -117.792     -151.288     -952.159
#>        0.014        0.019        0.006       -0.028        0.014       -0.033        0.025        0.007        0.016      429.464       52.034      -53.334     -151.620
#>        0.052        0.004        0.015       -0.003       -0.022        0.071        0.013       -0.011       -0.110        0.057     1960.422     1292.018    14059.103
#>        0.044       -0.019        0.001       -0.007       -0.006        0.078        0.008        0.004       -0.163       -0.067        0.762     1465.197    15656.572
#>        0.015       -0.031       -0.034       -0.037       -0.010        0.052        0.000        0.001       -0.083       -0.015        0.666        0.857   227629.972
# Research question 2: To what extent is the presumed segregation along party affiliation in the retweet network among Dutch MPs the byproduct of segregation along other social dimensions such as sex, age?

# Answer:
# Research question 3: To what extent is the presumed segregation along party affiliation in the retweet network among Dutch MPs the result of propinquity?

# Answer:

# Research question 4: To what extent is the presumed segregation along party affiliation in the retweet network among Dutch MPs the result of structural (network) effects?

# Answer:
---
title: "Tutorial"
#bibliography: references.bib
author: "Nina Branten"
---


```{r, echo=TRUE, warning=FALSE, results='hide'}
library(knitr)

knitr::opts_chunk$set(echo = TRUE)
opts_chunk$set(tidy.opts=list(width.cutoff=100),tidy=TRUE, warning = FALSE, message = FALSE,comment = "#>", cache=TRUE, class.source=c("test"), class.output=c("test2"))
options(width = 100)
rgl::setupKnitr()



colorize <- function(x, color) {sprintf("<span style='color: %s;'>%s</span>", color, x) }

```

```{r klippy, echo=TRUE, include=TRUE}
klippy::klippy(position = c('top', 'right'))
#klippy::klippy(color = 'darkred')
#klippy::klippy(tooltip_message = 'Click to copy', tooltip_success = 'Done')
```

Last compiled on `r format(Sys.time(), '%B, %Y')`

<br>



# Before you start

```{r}
### Author: NINA BRANTEN### Lastmod: 28-09-2022###

# cleanup workspace
rm(list = ls())
```

```{r}
# install packages
library(RSiena)
```

```{r}
# density: observed relations divided by possible relations
fdensity <- function(x) {
    # x is your nomination network make sure diagonal cells are NA
    diag(x) <- NA
    # take care of RSiena structural zeros, set as missing.
    x[x == 10] <- NA
    sum(x == 1, na.rm = T)/(sum(x == 1 | x == 0, na.rm = T))
}

# calculate intragroup density
fdensityintra <- function(x, A) {
    # A is matrix indicating whether nodes in dyad have same node attributes
    diag(x) <- NA
    x[x == 10] <- NA
    diag(A) <- NA
    sum(x == 1 & A == 1, na.rm = T)/(sum((x == 1 | x == 0) & A == 1, na.rm = T))
}

# calculate intragroup density
fdensityinter <- function(x, A) {
    # A is matrix indicating whether nodes in dyad have same node attributes
    diag(x) <- NA
    x[x == 10] <- NA
    diag(A) <- NA
    sum(x == 1 & A != 1, na.rm = T)/(sum((x == 1 | x == 0) & A != 1, na.rm = T))
}

# construct dyadcharacteristic whether nodes are similar/homogenous
fhomomat <- function(x) {
    # x is a vector of node-covariate
    xmat <- matrix(x, nrow = length(x), ncol = length(x))
    xmatt <- t(xmat)
    xhomo <- xmat == xmatt
    return(xhomo)
}

# a function to calculate all valid dyads.
fndyads <- function(x) {
    diag(x) <- NA
    x[x == 10] <- NA
    (sum((x == 1 | x == 0), na.rm = T))
}

# a function to calculate all valid intragroupdyads.
fndyads2 <- function(x, A) {
    diag(x) <- NA
    x[x == 10] <- NA
    diag(A) <- NA
    (sum((x == 1 | x == 0) & A == 1, na.rm = T))
}


fscolnet <- function(network, ccovar) {
    # Calculate coleman on network level:
    # https://reader.elsevier.com/reader/sd/pii/S0378873314000239?token=A42F99FF6E2B750436DD2CB0DB7B1F41BDEC16052A45683C02644DAF88215A3379636B2AA197B65941D6373E9E2EE413
    
    fhomomat <- function(x) {
        xmat <- matrix(x, nrow = length(x), ncol = length(x))
        xmatt <- t(xmat)
        xhomo <- xmat == xmatt
        return(xhomo)
    }
    
    fsumintra <- function(x, A) {
        # A is matrix indicating whether nodes constituting dyad have same characteristics
        diag(x) <- NA
        x[x == 10] <- NA
        diag(A) <- NA
        sum(x == 1 & A == 1, na.rm = T)
    }
    
    # expecation w*=sum_g sum_i (ni((ng-1)/(N-1)))
    network[network == 10] <- NA
    ni <- rowSums(network, na.rm = T)
    ng <- NA
    for (i in 1:length(ccovar)) {
        ng[i] <- table(ccovar)[rownames(table(ccovar)) == ccovar[i]]
    }
    N <- length(ccovar)
    wexp <- sum(ni * ((ng - 1)/(N - 1)), na.rm = T)
    
    # wgg1 how many intragroup ties
    w <- fsumintra(network, fhomomat(ccovar))
    
    Scol_net <- ifelse(w >= wexp, (w - wexp)/(sum(ni, na.rm = T) - wexp), (w - wexp)/wexp)
    return(Scol_net)
}
```


# Data

```{r}
getwd()
load("twitter_20190919.RData")  #change to your working directory
str(twitter_20190919, 1)
keyf <- twitter_20190919[[1]]
#keyf is dataframe on 147 Dutch MPs
mydata <- twitter_20190919[[2]]
# mydata is object ready to analyze in RSiena. Nodes are the same as in keyf and seats. Contains twitter data at three timepounts. Three layers: fnet (who follows whom), atmnet (who amentions whom) and rnter (who retweets whom). Also contains timevariant information on nodes.
seats <- twitter_20190919[[3]]
#seats is dataset which contains coordinates of seats in House of Parliament in Netherlands
```

# Densities

```{r}
# retrieve nominationdata from rsiena object
fnet <- mydata$depvars$fnet
atmnet <- mydata$depvars$atmnet
rtnet <- mydata$depvars$rtnet

# retrieve node-attributes from rsiena object
vrouw <- mydata$cCovars$vrouw
partij <- mydata$cCovars$partij
ethminz <- mydata$cCovars$ethminz
lft <- mydata$cCovars$lft

# de-mean-center node attributes
ethminz <- ethminz + attributes(ethminz)$mean
partij <- partij + attributes(partij)$mean
vrouw <- vrouw + attributes(vrouw)$mean
lft <- lft + attributes(lft)$mean

# construct matrices for similarity for each dimension (dyad characteristics)
vrouwm <- fhomomat(vrouw)
partijm <- fhomomat(partij)
ethminzm <- fhomomat(ethminz)

# just for fun, make dyad characteristic indicating whether both nodes are ethnic minorities
xmat <- matrix(ethminz, nrow = length(ethminz), ncol = length(ethminz))
xmatt <- t(xmat)
minoritym <- xmat == 1 & xmatt == 1

# for age max 5 year difference / for descriptives
xmat <- matrix(lft, nrow = length(lft), ncol = length(lft))
xmatt <- t(xmat)
lftm <- (abs(xmat - xmatt) < 6)

# calculate all possible similar dyads, not the focus of this exercise.  fndyads2(fnet[,,1], vrouwm)
# fndyads2(fnet[,,3], vrouwm) fndyads2(fnet[,,1], partijm) fndyads2(fnet[,,3], partijm)
# fndyads2(fnet[,,1], ethminzm) fndyads2(fnet[,,3], ethminzm)

# make a big object to store all results
desmat <- matrix(NA, nrow = 10, ncol = 9)

# lets start using our functions
desmat[1, 1] <- fdensity(fnet[, , 1])
desmat[1, 2] <- fdensity(fnet[, , 2])
desmat[1, 3] <- fdensity(fnet[, , 3])
desmat[2, 1] <- fdensityintra(fnet[, , 1], vrouwm)
desmat[2, 2] <- fdensityintra(fnet[, , 2], vrouwm)
desmat[2, 3] <- fdensityintra(fnet[, , 3], vrouwm)
desmat[3, 1] <- fdensityinter(fnet[, , 1], vrouwm)
desmat[3, 2] <- fdensityinter(fnet[, , 2], vrouwm)
desmat[3, 3] <- fdensityinter(fnet[, , 3], vrouwm)
desmat[4, 1] <- fdensityintra(fnet[, , 1], partijm)
desmat[4, 2] <- fdensityintra(fnet[, , 2], partijm)
desmat[4, 3] <- fdensityintra(fnet[, , 3], partijm)
desmat[5, 1] <- fdensityinter(fnet[, , 1], partijm)
desmat[5, 2] <- fdensityinter(fnet[, , 2], partijm)
desmat[5, 3] <- fdensityinter(fnet[, , 3], partijm)
desmat[6, 1] <- fdensityintra(fnet[, , 1], ethminzm)
desmat[6, 2] <- fdensityintra(fnet[, , 2], ethminzm)
desmat[6, 3] <- fdensityintra(fnet[, , 3], ethminzm)
desmat[7, 1] <- fdensityinter(fnet[, , 1], ethminzm)
desmat[7, 2] <- fdensityinter(fnet[, , 2], ethminzm)
desmat[7, 3] <- fdensityinter(fnet[, , 3], ethminzm)
desmat[8, 1] <- fdensityinter(fnet[, , 1], minoritym)
desmat[8, 2] <- fdensityinter(fnet[, , 2], minoritym)
desmat[8, 3] <- fdensityinter(fnet[, , 3], minoritym)
desmat[9, 1] <- fdensityintra(fnet[, , 1], lftm)
desmat[9, 2] <- fdensityintra(fnet[, , 2], lftm)
desmat[9, 3] <- fdensityintra(fnet[, , 3], lftm)
desmat[10, 1] <- fdensityinter(fnet[, , 1], lftm)
desmat[10, 2] <- fdensityinter(fnet[, , 2], lftm)
desmat[10, 3] <- fdensityinter(fnet[, , 3], lftm)

desmat[1, 1 + 3] <- fdensity(atmnet[, , 1])
desmat[1, 2 + 3] <- fdensity(atmnet[, , 2])
desmat[1, 3 + 3] <- fdensity(atmnet[, , 3])
desmat[2, 1 + 3] <- fdensityintra(atmnet[, , 1], vrouwm)
desmat[2, 2 + 3] <- fdensityintra(atmnet[, , 2], vrouwm)
desmat[2, 3 + 3] <- fdensityintra(atmnet[, , 3], vrouwm)
desmat[3, 1 + 3] <- fdensityinter(atmnet[, , 1], vrouwm)
desmat[3, 2 + 3] <- fdensityinter(atmnet[, , 2], vrouwm)
desmat[3, 3 + 3] <- fdensityinter(atmnet[, , 3], vrouwm)
desmat[4, 1 + 3] <- fdensityintra(atmnet[, , 1], partijm)
desmat[4, 2 + 3] <- fdensityintra(atmnet[, , 2], partijm)
desmat[4, 3 + 3] <- fdensityintra(atmnet[, , 3], partijm)
desmat[5, 1 + 3] <- fdensityinter(atmnet[, , 1], partijm)
desmat[5, 2 + 3] <- fdensityinter(atmnet[, , 2], partijm)
desmat[5, 3 + 3] <- fdensityinter(atmnet[, , 3], partijm)
desmat[6, 1 + 3] <- fdensityintra(atmnet[, , 1], ethminzm)
desmat[6, 2 + 3] <- fdensityintra(atmnet[, , 2], ethminzm)
desmat[6, 3 + 3] <- fdensityintra(atmnet[, , 3], ethminzm)
desmat[7, 1 + 3] <- fdensityinter(atmnet[, , 1], ethminzm)
desmat[7, 2 + 3] <- fdensityinter(atmnet[, , 2], ethminzm)
desmat[7, 3 + 3] <- fdensityinter(atmnet[, , 3], ethminzm)
desmat[8, 1 + 3] <- fdensityinter(atmnet[, , 1], minoritym)
desmat[8, 2 + 3] <- fdensityinter(atmnet[, , 2], minoritym)
desmat[8, 3 + 3] <- fdensityinter(atmnet[, , 3], minoritym)
desmat[9, 1 + 3] <- fdensityintra(atmnet[, , 1], lftm)
desmat[9, 2 + 3] <- fdensityintra(atmnet[, , 2], lftm)
desmat[9, 3 + 3] <- fdensityintra(atmnet[, , 3], lftm)
desmat[10, 1 + 3] <- fdensityinter(atmnet[, , 1], lftm)
desmat[10, 2 + 3] <- fdensityinter(atmnet[, , 2], lftm)
desmat[10, 3 + 3] <- fdensityinter(atmnet[, , 3], lftm)

desmat[1, 1 + 6] <- fdensity(rtnet[, , 1])
desmat[1, 2 + 6] <- fdensity(rtnet[, , 2])
desmat[1, 3 + 6] <- fdensity(rtnet[, , 3])
desmat[2, 1 + 6] <- fdensityintra(rtnet[, , 1], vrouwm)
desmat[2, 2 + 6] <- fdensityintra(rtnet[, , 2], vrouwm)
desmat[2, 3 + 6] <- fdensityintra(rtnet[, , 3], vrouwm)
desmat[3, 1 + 6] <- fdensityinter(rtnet[, , 1], vrouwm)
desmat[3, 2 + 6] <- fdensityinter(rtnet[, , 2], vrouwm)
desmat[3, 3 + 6] <- fdensityinter(rtnet[, , 3], vrouwm)
desmat[4, 1 + 6] <- fdensityintra(rtnet[, , 1], partijm)
desmat[4, 2 + 6] <- fdensityintra(rtnet[, , 2], partijm)
desmat[4, 3 + 6] <- fdensityintra(rtnet[, , 3], partijm)
desmat[5, 1 + 6] <- fdensityinter(rtnet[, , 1], partijm)
desmat[5, 2 + 6] <- fdensityinter(rtnet[, , 2], partijm)
desmat[5, 3 + 6] <- fdensityinter(rtnet[, , 3], partijm)
desmat[6, 1 + 6] <- fdensityintra(rtnet[, , 1], ethminzm)
desmat[6, 2 + 6] <- fdensityintra(rtnet[, , 2], ethminzm)
desmat[6, 3 + 6] <- fdensityintra(rtnet[, , 3], ethminzm)
desmat[7, 1 + 6] <- fdensityinter(rtnet[, , 1], ethminzm)
desmat[7, 2 + 6] <- fdensityinter(rtnet[, , 2], ethminzm)
desmat[7, 3 + 6] <- fdensityinter(rtnet[, , 3], ethminzm)
desmat[8, 1 + 6] <- fdensityinter(rtnet[, , 1], minoritym)
desmat[8, 2 + 6] <- fdensityinter(rtnet[, , 2], minoritym)
desmat[8, 3 + 6] <- fdensityinter(rtnet[, , 3], minoritym)
desmat[9, 1 + 6] <- fdensityintra(rtnet[, , 1], lftm)
desmat[9, 2 + 6] <- fdensityintra(rtnet[, , 2], lftm)
desmat[9, 3 + 6] <- fdensityintra(rtnet[, , 3], lftm)
desmat[10, 1 + 6] <- fdensityinter(rtnet[, , 1], lftm)
desmat[10, 2 + 6] <- fdensityinter(rtnet[, , 2], lftm)
desmat[10, 3 + 6] <- fdensityinter(rtnet[, , 3], lftm)

colnames(desmat) <- c("friends w1", "friends w2", "friends w3", "atmentions w1", "atmentions w2", "atmentions w3", 
    "retweets w1", "retweets w2", "retweets w3")
rownames(desmat) <- c("total", "same sex", "different sex", "same party", "different party", "same ethnicity", 
    "different ethnicity", "both minority", "same age (<6)", "different age (>5)")
desmat
```


```{r}
# we observe a lot of homophily. Mainly big difference in density between and whithin political parties. Homophily is not that strong across social dimensions.
```

# Coleman homophily index
```{r}
# Because size of different subgroups vary and number of out-degrees differs between MPs, whitin party densities might be higher when MPs randomly select partner/alter. Segregation will partly be structully induced by differences in relative groups sizes and activity on twitter. Coleman's homophily index: takes relative group sizes and differences into account. 0 -> observed number of within-group ties is the same as would be expected under random choice. 1 -> maximum segregation. -1 -> MPs maximally avoid within group relations.
```

```{r}
colmat <- matrix(NA, nrow = 3, ncol = 9)

colmat[1, 1] <- fscolnet(fnet[, , 1], partij)
colmat[1, 2] <- fscolnet(fnet[, , 2], partij)
colmat[1, 3] <- fscolnet(fnet[, , 3], partij)
colmat[1, 4] <- fscolnet(atmnet[, , 1], partij)
colmat[1, 5] <- fscolnet(atmnet[, , 2], partij)
colmat[1, 6] <- fscolnet(atmnet[, , 3], partij)
colmat[1, 7] <- fscolnet(rtnet[, , 1], partij)
colmat[1, 8] <- fscolnet(rtnet[, , 2], partij)
colmat[1, 9] <- fscolnet(rtnet[, , 3], partij)

colmat[2, 1] <- fscolnet(fnet[, , 1], vrouw)
colmat[2, 2] <- fscolnet(fnet[, , 2], vrouw)
colmat[2, 3] <- fscolnet(fnet[, , 3], vrouw)
colmat[2, 4] <- fscolnet(atmnet[, , 1], vrouw)
colmat[2, 5] <- fscolnet(atmnet[, , 2], vrouw)
colmat[2, 6] <- fscolnet(atmnet[, , 3], vrouw)
colmat[2, 7] <- fscolnet(rtnet[, , 1], vrouw)
colmat[2, 8] <- fscolnet(rtnet[, , 2], vrouw)
colmat[2, 9] <- fscolnet(rtnet[, , 3], vrouw)

colmat[3, 1] <- fscolnet(fnet[, , 1], ethminz)
colmat[3, 2] <- fscolnet(fnet[, , 2], ethminz)
colmat[3, 3] <- fscolnet(fnet[, , 3], ethminz)
colmat[3, 4] <- fscolnet(atmnet[, , 1], ethminz)
colmat[3, 5] <- fscolnet(atmnet[, , 2], ethminz)
colmat[3, 6] <- fscolnet(atmnet[, , 3], ethminz)
colmat[3, 7] <- fscolnet(rtnet[, , 1], ethminz)
colmat[3, 8] <- fscolnet(rtnet[, , 2], ethminz)
colmat[3, 9] <- fscolnet(rtnet[, , 3], ethminz)

colnames(colmat) <- c("friends w1", "friends w2", "friends w3", "atmentions w1", "atmentions w2", "atmentions w3", 
    "retweets w1", "retweets w2", "retweets w3")
rownames(colmat) <- c("party", "sex", "ethnicity")
colmat
```
```{r}
# Mostly segregation within retweet network and along parties
```

# RSiena

```{r}
# defining myeff object
library(RSiena)
myeff <- getEffects(mydata)
myeff
```


```{r}
myeff_m1 <- myeff
myeff_m1 <- includeEffects(myeff_m1, sameX, interaction1 = "partij", name = "rtnet")
```

```{r}
# I used a seed so you will probably see the same results
myalgorithm <- sienaAlgorithmCreate(projname = "test", seed = 345654)
```
# estimate models

```{r, echo=TRUE, warning=FALSE, eval=FALSE}
# to speed things up a bit, I am using more cores.
ansM1 <- siena07(myalgorithm, data = mydata, effects = myeff_m1, useCluster = TRUE, nbrNodes = 4, initC = TRUE, 
    batch = TRUE)
ansM1b <- siena07(myalgorithm, data = mydata, prevAns = ansM1, effects = myeff_m1, useCluster = TRUE, 
    nbrNodes = 4, initC = TRUE, batch = TRUE)
ansM1c <- siena07(myalgorithm, data = mydata, prevAns = ansM1b, effects = myeff_m1, useCluster = TRUE, 
    nbrNodes = 4, initC = TRUE, batch = TRUE)

save(ansM1, file = "ansM1a.RData")
save(ansM1b, file = "ansM1b.RData")
save(ansM1c, file = "ansM1c.RData")
```
```{r}
load("ansM1a.RData")
load("ansM1b.RData")
load("ansM1c.RData")
ansM1
```

```{r}
ansM1b
```

```{r}
ansM1c
```

# research question 1
```{r}
#To what extent do we observe segregation along party affiliation in the retweet network among Dutch MPs?

# Answer: the eval same partij is 1.8551. This means that we observe strong segregation along pary affiliation: people are more likely to have ties with people from the same party.
```

# research question 2, 3 and 4

```{r}
#research question 1
myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, sameX, interaction1 = "partij", name = "rtnet")

#research question 2

myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, sameX, interaction1 = "vrouw", name = "rtnet")
myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, sameX, interaction1 = "lft", name = "rtnet")

#research question 3: propinquity -> not sure if I am doing this the right way?

myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, X, interaction1 = "afstand", name = "rtnet")

# research question 4: structural effects are reciprocity and transitivity. Effects depending on network only.

myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, recip, name = "rtnet")

myeff_m2 <- myeff
myeff_m2 <- includeEffects(myeff_m2, transTrip, name = "rtnet")


```

```{r}
# I used a seed so you will probably see the same results
myalgorithm <- sienaAlgorithmCreate(projname = "test", seed = 345654)
```

```{r, echo=FALSE, warning=FALSE, eval=FALSE}
# to speed things up a bit, I am using more cores.
ansM2 <- siena07(myalgorithm, data = mydata, effects = myeff_m2, useCluster = TRUE, nbrNodes = 4, initC = TRUE, 
    batch = TRUE)
ansM2b <- siena07(myalgorithm, data = mydata, prevAns = ansM2, effects = myeff_m2, useCluster = TRUE, 
    nbrNodes = 4, initC = TRUE, batch = TRUE)
ansM2c <- siena07(myalgorithm, data = mydata, prevAns = ansM2b, effects = myeff_m2, useCluster = TRUE, 
    nbrNodes = 4, initC = TRUE, batch = TRUE)

save(ansM2, file = "ansM2a.RData")
save(ansM2b, file = "ansM2b.RData")
save(ansM2c, file = "ansM2c.RData")
```
```{r}
load("ansM2a.RData")
load("ansM2b.RData")
load("ansM2c.RData")
ansM2
summary(ansM2)
```

```{r}
ansM2b
summary(ansM2b)
```

```{r}
ansM2c
summary(ansM2c)
```

```{r}
# Research question 2: To what extent is the presumed segregation along party affiliation in the retweet network among Dutch MPs the byproduct of segregation along other social dimensions such as sex, age?

# Answer:
```


```{r}
# Research question 3: To what extent is the presumed segregation along party affiliation in the retweet network among Dutch MPs the result of propinquity?

# Answer:

# Research question 4: To what extent is the presumed segregation along party affiliation in the retweet network among Dutch MPs the result of structural (network) effects?

# Answer:
```

