I am trying to recode a variable for country pairs, e.g. an exporter EFG and an importeur ISR equals the country pair EFGISR. I need these pairs for a panel data analysis and therefore these country pairs have to be set to numeric variables. I am familiar to the as.numeric command, however recoding these variables back to the format seems to be a tough job. Do you guys know a better way to code it or a way to use the factor variable as a referene for a recode call ? I will have to use the plm package and the command make.pballanced().
Cheers and I would really appreciate your help!
edit:
idvar <- c(BRAWLD, BRAALB, BRADZA, BRAARG, BRAAUS, BRAAUT, BRABHR, BRAARM)
as.numeric(idvar)
[1] 108 2 30 5 7 8 12 6 9 15 11 17 23 19
as.factor(idvar)
[1] 108 2 30 5 7 8 12 6 9 15 11 17 23 19
This is the part where I would like to have again
idvar
BRAWLD, BRAALB, BRADZA, BRAARG, BRAAUS, BRAAUT, BRABHR, BRAARM
I am Heading my dataset here:
year exp exp_iso imp imp_iso nw tv nw_c nw_dc tv_c tv_dc tv_total nw_total id_var
1996-BRAARE 1996 Brazil BRA United Arab Emirates ARE 563812 1245639 563812 0 1245639 0 1245639 563812 BRAARE
1996-BRAARG 1996 Brazil BRA Argentina ARG 34006800 77508984 34006800 0 77508984 0 77508984 34006800 BRAARG
1996-BRAARM 1996 Brazil BRA Armenia ARM 38398 70656 38398 0 70656 0 70656 38398 BRAARM
1996-BRAAUS 1996 Brazil BRA Australia AUS 3213000 7864554 3213000 0 7864554 0 7864554 3213000 BRAAUS
1996-BRAAUT 1996 Brazil BRA Austria AUT 11189578 25442560 11189578 0 25442560 0 25442560 11189578 BRAAUT
1996-BRABEL 1996 Brazil BRA Belgium BEL 41944172 93179224 41944172 0 93179224 0 93179224 41944172 BRABEL
I found an appealing solution to the problem. Using the package countryodes provides a formula with which I could paste the charachter country codes as numeric codes using the countrycode = "iso3n".
Related
I have a data set that looks like this with the first 10 rows
country freq
Albania 2
Argentina 4
Australia 26
Austria 14
Belgium 22
Brazil 46
Bulgaria 2
Cambodia 2
Canada 37
Chile 19
I want to filter out counts(frequency) that are less than 30
i tried this code:
dd %>%
group_by(freq) %>%
filter(n()<30)
The output was same with the dataset. I did not get want i want
how do I resolve this?
Thanks in advance
Use simple indexing. Why are you grouping by?
dd <- dd[dd$freq >= 30, ]
I want to create a factor variables in my dataframes based on categorical variables.
My data:
# A tibble: 159 x 3
name.country gpd rate_suicide
<chr> <dbl> <dbl>
1 Afghanistan 2129. 6.4
2 Albania 12003. 5.6
3 Algeria 11624. 3.3
4 Angola 7103. 8.9
5 Antigua and Barbuda 19919. 0.5
6 Argentina 20308. 9.1
7 Armenia 10704. 5.7
8 Australia 47350. 11.7
9 Austria 52633. 11.4
10 Azerbaijan 14371. 2.6
# ... with 149 more rows
I want to create factor variable region, which contains a factors as:
region <- c('Asian', 'Europe', 'South America', 'North America', 'Africa')
region = factor(region, levels = c('Asian', 'Europe', 'South America', 'North America', 'Africa'))
I want to do this with dplyr packages, that can to choose a factor levels depends on name.countrybut it doesn't work. Example:
if (new_data$name.country[new_data$name.country == "N"]) {
mutate(new_data, region_ = region[1])
}
How i can solve the problem?
I think the way I would think about your problem is
Create a reproducible problem. (see How to make a great R reproducible example. ) Since you already have the data, use dput to make it easier for people like me to recreate your data in their environment.
dput(yourdf)
structure(list(name.country = c("Afghanistan", "Albania", "Algeria"
), gpd = c(2129L, 12003L, 11624L), rate_suicide = c(6.4, 5.6,
3.3)), class = "data.frame", row.names = c(NA, -3L))
raw_data<-structure(list(name.country = c("Afghanistan", "Albania", "Algeria"
), gpd = c(2129L, 12003L, 11624L), rate_suicide = c(6.4, 5.6,
3.3)), class = "data.frame", row.names = c(NA, -3L))
Define vectors that specify your regions
Use case_when to separate countries into regions
Use as.factor to convert your character variable to a factor
asia=c("Afghanistan","India","...","Rest of countries in Asia")
europe=c("Albania","France","...","Rest of countries in Europe")
africa=c("Algeria","Egypt","...","Rest of countries in Africa")
df<-raw_data %>%
mutate(region=case_when(
name.country %in% asia ~ "asia",
name.country %in% europe ~ "europe",
name.country %in% africa ~ "africa",
TRUE ~ "other"
)) %>%
mutate(region=region %>% as.factor())
You can check that your variable region is a factor using str
str(df)
'data.frame': 3 obs. of 4 variables:
$ name.country: chr "Afghanistan" "Albania" "Algeria"
$ gpd : int 2129 12003 11624
$ rate_suicide: num 6.4 5.6 3.3
$ region : Factor w/ 3 levels "africa","asia",..: 2 3 1
Here is a working example that combines data from the question with a file of countries and region information from Github. H/T to Luke Duncalfe for maintaining the region data, which is:
...a combination of the Wikipedia ISO-3166 article for alpha and numeric country codes and the UN Statistics site for countries' regional and sub-regional codes.
regionFile <- "https://raw.githubusercontent.com/lukes/ISO-3166-Countries-with-Regional-Codes/master/all/all.csv"
regionData <- read.csv(regionFile,header=TRUE)
textFile <- "rowID|country|gdp|suicideRate
1|Afghanistan|2129.|6.4
2|Albania|12003.|5.6
3|Algeria|11624.|3.3
4|Angola|7103.|8.9
5|Antigua and Barbuda|19919.|0.5
6|Argentina|20308.|9.1
7|Armenia|10704.|5.7
8|Australia|47350.|11.7
9|Austria|52633.|11.4
10|Azerbaijan|14371.|2.6"
data <- read.csv(text=textFile,sep="|")
library(dplyr)
data %>%
left_join(.,regionData,by = c("country" = "name"))
...and the output:
rowID country gdp suicideRate alpha.2 alpha.3 country.code
1 1 Afghanistan 2129 6.4 AF AFG 4
2 2 Albania 12003 5.6 AL ALB 8
3 3 Algeria 11624 3.3 DZ DZA 12
4 4 Angola 7103 8.9 AO AGO 24
5 5 Antigua and Barbuda 19919 0.5 AG ATG 28
6 6 Argentina 20308 9.1 AR ARG 32
7 7 Armenia 10704 5.7 AM ARM 51
8 8 Australia 47350 11.7 AU AUS 36
9 9 Austria 52633 11.4 AT AUT 40
10 10 Azerbaijan 14371 2.6 AZ AZE 31
iso_3166.2 region sub.region intermediate.region
1 ISO 3166-2:AF Asia Southern Asia
2 ISO 3166-2:AL Europe Southern Europe
3 ISO 3166-2:DZ Africa Northern Africa
4 ISO 3166-2:AO Africa Sub-Saharan Africa Middle Africa
5 ISO 3166-2:AG Americas Latin America and the Caribbean Caribbean
6 ISO 3166-2:AR Americas Latin America and the Caribbean South America
7 ISO 3166-2:AM Asia Western Asia
8 ISO 3166-2:AU Oceania Australia and New Zealand
9 ISO 3166-2:AT Europe Western Europe
10 ISO 3166-2:AZ Asia Western Asia
region.code sub.region.code intermediate.region.code
1 142 34 NA
2 150 39 NA
3 2 15 NA
4 2 202 17
5 19 419 29
6 19 419 5
7 142 145 NA
8 9 53 NA
9 150 155 NA
10 142 145 NA
At this point one can decide whether to use the region, sub region, or intermediate region and convert it to a factor.
We can set region to a factor by adding a mutate() function to the dplyr pipeline:
data %>%
left_join(.,regionData,by = c("country" = "name")) %>%
mutate(region = factor(region)) -> mergedData
At this point mergedData$region is a factor.
str(mergedData$region)
table(mergedData$region)
> str(mergedData$region)
Factor w/ 5 levels "Africa","Americas",..: 3 4 1 1 2 2 3 5 4 3
> table(mergedData$region)
Africa Americas Asia Europe Oceania
2 2 3 2 1
Now the data is ready for further analysis. We will generate a table of average suicide rates by region.
library(knitr) # for kable
mergedData %>% group_by(region) %>%
summarise(suicideRate = mean(suicideRate)) %>%
kable(.)
...and the output:
|region | suicideRate|
|:--------|-----------:|
|Africa | 6.1|
|Americas | 4.8|
|Asia | 4.9|
|Europe | 8.5|
|Oceania | 11.7|
When rendered in an HTML / markdown viewer, the result looks like this:
I have tried to find a solution via similar topics, but haven't found anything suitable. This may be due to the search terms I have used. If I have missed something, please accept my apologies.
Here is a excerpt of my data UN_ (the provided sample should be sufficient):
country year sector UN
AT 1990 1 1.407555
AT 1990 2 1.037137
AT 1990 3 4.769618
AT 1990 4 2.455139
AT 1990 5 2.238618
AT 1990 Total 7.869005
AT 1991 1 1.484667
AT 1991 2 1.001578
AT 1991 3 4.625927
AT 1991 4 2.515453
AT 1991 5 2.702081
AT 1991 Total 8.249567
....
BE 1994 1 3.008115
BE 1994 2 1.550344
BE 1994 3 1.080667
BE 1994 4 1.768645
BE 1994 5 7.208295
BE 1994 Total 1.526016
BE 1995 1 2.958820
BE 1995 2 1.571759
BE 1995 3 1.116049
BE 1995 4 1.888952
BE 1995 5 7.654881
BE 1995 Total 1.547446
....
What I want to do is, to add another row with UN_$sector = Residual. The value of residual will be (UN_$sector = Total) - (the sum of column UN for the sectors c("1", "2", "3", "4", "5")) for a given year AND country.
This is how it should look like:
country year sector UN
AT 1990 1 1.407555
AT 1990 2 1.037137
AT 1990 3 4.769618
AT 1990 4 2.455139
AT 1990 5 2.238618
----> AT 1990 Residual TO BE CALCULATED
AT 1990 Total 7.869005
As I don't want to write many, many lines of code I'm looking for a way to automate this. I was told about loops, but can't really follow the concept at the moment.
Thank you very much for any type of help!!
Best,
Constantin
PS: (for Parfait)
country year sector UN ETS
UK 2012 1 190336512 NA
UK 2012 2 18107910 NA
UK 2012 3 8333564 NA
UK 2012 4 11269017 NA
UK 2012 5 2504751 NA
UK 2012 Total 580957306 NA
UK 2013 1 177882200 NA
UK 2013 2 20353347 NA
UK 2013 3 8838575 NA
UK 2013 4 11051398 NA
UK 2013 5 2684909 NA
UK 2013 Total 566322778 NA
Consider calculating residual first and then stack it with other pieces of data:
# CALCULATE RESIDUALS BY MERGED COLUMNS
agg <- within(merge(aggregate(UN ~ country + year, data = subset(df, sector!='Total'), sum),
aggregate(UN ~ country + year, data = subset(df, sector=='Total'), sum),
by=c("country", "year")),
{UN <- UN.y - UN.x
sector = 'Residual'})
# ROW BIND DIFFERENT PIECES
final_df <- rbind(subset(df, sector!='Total'),
agg[c("country", "year", "sector", "UN")],
subset(df, sector=='Total'))
# ORDER ROWS AND RESET ROWNAMES
final_df <- with(final_df, final_df[order(country, year, as.character(sector)),])
row.names(final_df) <- NULL
Rextester demo
final_df
# country year sector UN
# 1 AT 1990 1 1.407555
# 2 AT 1990 2 1.037137
# 3 AT 1990 3 4.769618
# 4 AT 1990 4 2.455139
# 5 AT 1990 5 2.238618
# 6 AT 1990 Residual -4.039062
# 7 AT 1990 Total 7.869005
# 8 AT 1991 1 1.484667
# 9 AT 1991 2 1.001578
# 10 AT 1991 3 4.625927
# 11 AT 1991 4 2.515453
# 12 AT 1991 5 2.702081
# 13 AT 1991 Residual -4.080139
# 14 AT 1991 Total 8.249567
# 15 BE 1994 1 3.008115
# 16 BE 1994 2 1.550344
# 17 BE 1994 3 1.080667
# 18 BE 1994 4 1.768645
# 19 BE 1994 5 7.208295
# 20 BE 1994 Residual -13.090050
# 21 BE 1994 Total 1.526016
# 22 BE 1995 1 2.958820
# 23 BE 1995 2 1.571759
# 24 BE 1995 3 1.116049
# 25 BE 1995 4 1.888952
# 26 BE 1995 5 7.654881
# 27 BE 1995 Residual -13.643015
# 28 BE 1995 Total 1.547446
I think there are multiple ways you can do this. What I may recommend is to take advantage of the tidyverse suite of packages which includes dplyr.
Without getting too far into what dplyr and tidyverse can achieve, we can talk about the power of dplyr's inline commands group_by(...), summarise(...), arrange(...) and bind_rows(...) functions. Also, there are tons of great tutorials, cheat sheets, and documentation on all tidyverse packages.
Although it is less and less relevant these days, we generally want to avoid for loops in R. Therefore, we will create a new data frame which contains all of the Residual values then bring it back into your original data frame.
Step 1: Calculating all residual values
We want to calculate the sum of UN values, grouped by country and year. We can achieve this by this value
res_UN = UN_ %>% group_by(country, year) %>% summarise(UN = sum(UN, na.rm = T))
Step 2: Add sector column to res_UN with value 'residual'
This should yield a data frame which contains country, year, and UN, we now need to add a column sector which the value 'Residual' to satisfy your specifications.
res_UN$sector = 'Residual'
Step 3 : Add res_UN back to UN_ and order accordingly
res_UN and UN_ now have the same columns and they can now be added back together.
UN_ = bind_rows(UN_, res_UN) %>% arrange(country, year, sector)
Piecing this all together, should answer your question and can be achieved in a couple lines!
TLDR:
res_UN = UN_ %>% group_by(country, year) %>% summarise(UN = sum(UN, na.rm = T))`
res_UN$sector = 'Residual'
UN_ = bind_rows(UN_, res_UN) %>% arrange(country, year, sector)
I am new to R and started learning two weeks ago. I want to take a list of tropical cyclone counts for various years (where some years are absent, because there were no tropical cyclones) and create a list with a column of every year from 1907-2013 and a column of the number of tropical cyclones.
In the example I include the list of occurrences to 1973 (before 1912 there were none).
Year Count
1 1912 1
2 1913 1
3 1921 1
4 1940 1
5 1953 1
6 1958 1
7 1959 1
8 1960 1
9 1966 1
10 1969 1
11 1971 1
12 1973 2
I tried using a for loop and if/else statement, but it does not work. I get the message "longer object length is not a multiple of shorter object length" and "the condition has length > 1 and only the first element will be used."
tc.SP=matrix(0,len.tc.yr,2)
tc.SP[,1]=tc.year.list
for (i in 1:len.tc.yr) #107 yrs (1907-2013)
{
if (tc.SP5.count[,1] == tc.SP[,1]) #tc.SP5.count is various years of TC occ.
{tc.SP[,2]= tc.SP5.count[,2]}
else
{tc.SP[,2]= 0}
}
Thank you for any help in advance.
When you say list, i'm going to assume you want to create a data.frame. Let's say the data above is in a data.frame called cyclone. The easiest way to create a data.frame for every year is just to merge it with a complete list. For example
cyclone.full <- merge(cyclone, data.frame(Year=1907:2013), all=T)
Here the data.frames will automatically merge on the Year column because both sets have that column. This will put NA values in all the missing years. If you want the default to be 0, you can do
cyclone.full$Count[is.na(cyclone.full$Count)] <- 0
Then yo uget
head(cyclone.full)
# Year Count
# 1 1907 0
# 2 1908 0
# 3 1909 0
# 4 1910 0
# 5 1911 0
# 6 1912 1
I have a balanced panel by country from 1951 to 2007 in a data frame. I'd like to transform it into a new data frame of five year averages of my other variables. When I sat down to do this I realized the only way I could think to do this involved a for loop and then decided that it was time to come to stackoverflow for help.
So, is there an easy way to turn data that looks like this:
country country.isocode year POP ci grgdpch
Argentina ARG 1951 17517.34 18.445022145 3.4602044759
Argentina ARG 1952 17876.96 17.76066507 -7.887407586
Argentina ARG 1953 18230.82 18.365255769 2.3118720688
Argentina ARG 1954 18580.56 16.982113434 1.5693778844
Argentina ARG 1955 18927.82 17.488907008 5.3690276523
Argentina ARG 1956 19271.51 15.907756547 0.3125559183
Argentina ARG 1957 19610.54 17.028450999 2.4896639667
Argentina ARG 1958 19946.54 17.541597134 5.0025894968
Argentina ARG 1959 20281.15 16.137310492 -6.763501447
Argentina ARG 1960 20616.01 20.519539628 8.481742144
...
Venezuela VEN 1997 22361.80 21.923577413 5.603872759
Venezuela VEN 1998 22751.36 24.451736863 -0.781844721
Venezuela VEN 1999 23128.64 21.585034168 -8.728234466
Venezuela VEN 2000 23492.75 20.224310777 2.6828641218
Venezuela VEN 2001 23843.87 23.480311721 0.2476965412
Venezuela VEN 2002 24191.77 16.290691319 -8.02535946
Venezuela VEN 2003 24545.43 10.972153646 -8.341989049
Venezuela VEN 2004 24904.62 17.147693312 14.644028806
Venezuela VEN 2005 25269.18 18.805970212 7.3156977879
Venezuela VEN 2006 25641.46 22.191098769 5.2737381326
Venezuela VEN 2007 26023.53 26.518210052 4.1367897561
into something like this:
country country.isocode period AvPOP Avci Avgrgdpch
Argentina ARG 1 18230 17.38474 1.423454
...
Venezuela VEN 12 25274 21.45343 5.454334
Do I need to transform this data frame using a specific panel data package? Or is there another easy way to do this that I'm missing?
This is the stuff aggregate is made for. :
Df <- data.frame(
year=rep(1951:1970,2),
country=rep(c("Arg","Ven"),each=20),
var1 = c(1:20,51:70),
var2 = c(20:1,70:51)
)
Level <-cut(Df$year,seq(1951,1971,by=5),right=F)
id <- c("var1","var2")
> aggregate(Df[id],list(Df$country,Level),mean)
Group.1 Group.2 var1 var2
1 Arg [1951,1956) 3 18
2 Ven [1951,1956) 53 68
3 Arg [1956,1961) 8 13
4 Ven [1956,1961) 58 63
5 Arg [1961,1966) 13 8
6 Ven [1961,1966) 63 58
7 Arg [1966,1971) 18 3
8 Ven [1966,1971) 68 53
The only thing you might want to do, is to rename the categories and the variable names.
For this type of problem, the plyr package is truely phenomenal. Here is some code that gives you what you want in essentially a single line of code plus a small helper function.
library(plyr)
library(zoo)
library(pwt)
# First recreate dataset, using package pwt
data(pwt6.3)
pwt <- pwt6.3[
pwt6.3$country %in% c("Argentina", "Venezuela"),
c("country", "isocode", "year", "pop", "ci", "rgdpch")
]
# Use rollmean() in zoo as basis for defining a rolling 5-period rolling mean
rollmean5 <- function(x){
rollmean(x, 5)
}
# Use ddply() in plyr package to create rolling average per country
pwt.ma <- ddply(pwt, .(country), numcolwise(rollmean5))
Here is the output from this:
> head(pwt, 10)
country isocode year pop ci rgdpch
ARG-1950 Argentina ARG 1950 17150.34 13.29214 7736.338
ARG-1951 Argentina ARG 1951 17517.34 18.44502 8004.031
ARG-1952 Argentina ARG 1952 17876.96 17.76067 7372.721
ARG-1953 Argentina ARG 1953 18230.82 18.36526 7543.169
ARG-1954 Argentina ARG 1954 18580.56 16.98211 7661.550
ARG-1955 Argentina ARG 1955 18927.82 17.48891 8072.900
ARG-1956 Argentina ARG 1956 19271.51 15.90776 8098.133
ARG-1957 Argentina ARG 1957 19610.54 17.02845 8299.749
ARG-1958 Argentina ARG 1958 19946.54 17.54160 8714.951
ARG-1959 Argentina ARG 1959 20281.15 16.13731 8125.515
> head(pwt.ma)
country year pop ci rgdpch
1 Argentina 1952 17871.20 16.96904 7663.562
2 Argentina 1953 18226.70 17.80839 7730.874
3 Argentina 1954 18577.53 17.30094 7749.694
4 Argentina 1955 18924.25 17.15450 7935.100
5 Argentina 1956 19267.39 16.98977 8169.456
6 Argentina 1957 19607.51 16.82080 8262.250
Note that rollmean(), by default, calculates the centred moving mean. You can modify this behaviour to get the left or right moving mean by passing this parameter to the helper function.
EDIT:
#Joris Meys gently pointed out that you might in fact be after the average for five-year periods.
Here is the modified code to do this:
pwt$period <- cut(pwt$year, seq(1900, 2100, 5))
pwt.ma <- ddply(pwt, .(country, period), numcolwise(mean))
pwt.ma
And the output:
> pwt.ma
country period year pop ci rgdpch
1 Argentina (1945,1950] 1950.0 17150.336 13.29214 7736.338
2 Argentina (1950,1955] 1953.0 18226.699 17.80839 7730.874
3 Argentina (1955,1960] 1958.0 19945.149 17.42693 8410.610
4 Argentina (1960,1965] 1963.0 21616.623 19.09067 9000.918
5 Argentina (1965,1970] 1968.0 23273.736 18.89005 10202.665
6 Argentina (1970,1975] 1973.0 25216.339 19.70203 11348.321
7 Argentina (1975,1980] 1978.0 27445.430 23.34439 11907.939
8 Argentina (1980,1985] 1983.0 29774.778 17.58909 10987.538
9 Argentina (1985,1990] 1988.0 32095.227 15.17531 10313.375
10 Argentina (1990,1995] 1993.0 34399.829 17.96758 11221.807
11 Argentina (1995,2000] 1998.0 36512.422 19.03551 12652.849
12 Argentina (2000,2005] 2003.0 38390.719 15.22084 12308.493
13 Argentina (2005,2010] 2006.5 39831.625 21.11783 14885.227
14 Venezuela (1945,1950] 1950.0 5009.006 41.07972 7067.947
15 Venezuela (1950,1955] 1953.0 5684.009 44.60849 8132.041
16 Venezuela (1955,1960] 1958.0 6988.078 37.87946 9468.001
17 Venezuela (1960,1965] 1963.0 8451.073 26.93877 9958.935
18 Venezuela (1965,1970] 1968.0 10056.910 28.66512 11083.242
19 Venezuela (1970,1975] 1973.0 11903.185 32.02671 12862.966
20 Venezuela (1975,1980] 1978.0 13927.882 36.35687 13530.556
21 Venezuela (1980,1985] 1983.0 16082.694 22.21093 10762.718
22 Venezuela (1985,1990] 1988.0 18382.964 19.48447 10376.123
23 Venezuela (1990,1995] 1993.0 20680.645 19.82371 10988.096
24 Venezuela (1995,2000] 1998.0 22739.062 20.93509 10837.580
25 Venezuela (2000,2005] 2003.0 24550.973 17.33936 10085.322
26 Venezuela (2005,2010] 2006.5 25832.495 24.35465 11790.497
Use cut on your year variable to make the period variable, then use melt and cast from the reshape package to get the averages. There's a lot of other answers that can show you how; see https://stackoverflow.com/questions/tagged/r+reshape
There is a base stats and a plyr answer, so for completeness, here is a dplyr based answer. Using the toy data given by Joris, we have
Df <- data.frame(
year=rep(1951:1970,2),
country=rep(c("Arg","Ven"),each=20),
var1 = c(1:20,51:70),
var2 = c(20:1,70:51)
)
Now, using cut to create the periods, we can then group on them and get the means:
Df %>% mutate(period = cut(Df$year,seq(1951,1971,by=5),right=F)) %>%
group_by(country, period) %>% summarise(V1 = mean(var1), V2 = mean(var2))
Source: local data frame [8 x 4]
Groups: country
country period V1 V2
1 Arg [1951,1956) 3 18
2 Arg [1956,1961) 8 13
3 Arg [1961,1966) 13 8
4 Arg [1966,1971) 18 3
5 Ven [1951,1956) 53 68
6 Ven [1956,1961) 58 63
7 Ven [1961,1966) 63 58
8 Ven [1966,1971) 68 53