Adjusting format of boxplot

[David Arnold]

Hi,

I managed to use the attached data set and figure out the following:

flies <- read.table("example12_1.dat",header=TRUE,sep="\t")
boxplot(long ~ group,
        data = flies,
        horizontal = TRUE,
        col = "red")

I'm very new to R and would like some help with the following:

1. Change the order on the y-axis from 1, 2, 3, 4, 5 to 5, 4, 3, 2, 1. In other words, I want the bottom boxplot on top.

2. I want the y-axis labels 1, 2, 3, 4, 5 to read Group 1, Group 2, Group 3, Group 4, and Group 5, and I would like them to be horizontal; i.e. parallel to the boxplots.

3. I'd like the tick marks and labels on the horizontal axis to go from 10 to 110 by 20's.

4. Finally, I want to turn off the frame surrounding the image, but not the horizontal axis and its tick marks and labels.

I appreciate the help.

Thanks.

David




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[David Arnold]

Looks like data was not attached. Here is is.


long group
40 1
37 1
44 1
47 1
47 1
47 1
68 1
47 1
54 1
61 1
71 1
75 1
89 1
58 1
59 1
62 1
79 1
96 1
58 1
62 1
70 1
72 1
74 1
96 1
75 1
46 2
42 2
65 2
46 2
58 2
42 2
48 2
58 2
50 2
80 2
63 2
65 2
70 2
70 2
72 2
97 2
46 2
56 2
70 2
70 2
72 2
76 2
90 2
76 2
92 2
21 3
40 3
44 3
54 3
36 3
40 3
56 3
60 3
48 3
53 3
60 3
60 3
65 3
68 3
60 3
81 3
81 3
48 3
48 3
56 3
68 3
75 3
81 3
48 3
68 3
35 4
37 4
49 4
46 4
63 4
39 4
46 4
56 4
63 4
65 4
56 4
65 4
70 4
63 4
65 4
70 4
77 4
81 4
86 4
70 4
70 4
77 4
77 4
81 4
77 4
16 5
19 5
19 5
32 5
33 5
33 5
30 5
42 5
42 5
33 5
26 5
30 5
40 5
54 5
34 5
34 5
47 5
47 5
42 5
47 5
54 5
54 5
56 5
60 5
44 5

[David Carlson]

If you read the posting guide you will see that only a few types of attachments
will be allowed through. Also it is much preferred to paste data into your
email using dput:

> dput(flies)
structure(list(long = c(40L, 37L, 44L, 47L, 47L, 47L, 68L, 47L,
54L, 61L, 71L, 75L, 89L, 58L, 59L, 62L, 79L, 96L, 58L, 62L, 70L,
72L, 74L, 96L, 75L, 46L, 42L, 65L, 46L, 58L, 42L, 48L, 58L, 50L,
80L, 63L, 65L, 70L, 70L, 72L, 97L, 46L, 56L, 70L, 70L, 72L, 76L,
90L, 76L, 92L, 21L, 40L, 44L, 54L, 36L, 40L, 56L, 60L, 48L, 53L,
60L, 60L, 65L, 68L, 60L, 81L, 81L, 48L, 48L, 56L, 68L, 75L, 81L,
48L, 68L, 35L, 37L, 49L, 46L, 63L, 39L, 46L, 56L, 63L, 65L, 56L,
65L, 70L, 63L, 65L, 70L, 77L, 81L, 86L, 70L, 70L, 77L, 77L, 81L,
77L, 16L, 19L, 19L, 32L, 33L, 33L, 30L, 42L, 42L, 33L, 26L, 30L,
40L, 54L, 34L, 34L, 47L, 47L, 42L, 47L, 54L, 54L, 56L, 60L, 44L
), group = c(1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L,
3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 3L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L,
4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L,
5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L, 5L,
5L)), .Names = c("long", "group"), class = "data.frame", row.names = c(NA,
-125L))

Everything you want is easy to handle in R but it is not as straightforward
as I initially thought.

First make groups into a factor and then modify the factor levels. The
default for the factor would be in numerical order 1, 2, ... but by listing
the levels in reverse order the plot comes out the way you want. Changing
the levels from 5, 4, ... to Group 5, Group 4, ... takes care of the labels
on the boxplot although you could also use the names= argument in boxplot
to do that.

> flies$group <- factor(flies$group, 5:1) # Request 1
> levels(flies$group) <- paste0("Group ", 5:1) # Request 2

Now insert the pars= argument to handle #3 and set up #4. Note
the counter-intuitive ylim= when we are actually talking about the
x axis - probably a result of plotting the boxplot horizontally.

> boxplot(long ~ group,
        data = flies,
        pars=list(las=1, ylim=c(10, 110), xaxt="n", bty="n"),
        horizontal = TRUE,
        col = "red")

Finally draw the x-axis.

> axis(1, at=seq(10, 110, 20))

-------------------------------------
David L Carlson
Associate Professor of Anthropology
Texas A&M University
College Station, TX 77840-4352


----- Original Message -----

From: "darnold" <[hidden email]>
To: [hidden email]
Sent: Thursday, July 12, 2012 5:01:19 PM
Subject: Re: [R] Adjusting format of boxplot

Looks like data was not attached. Here is is.


long group
40 1
37 1
44 1
47 1
47 1
47 1
68 1
47 1
54 1
61 1
71 1
75 1
89 1
58 1
59 1
62 1
79 1
96 1
58 1
62 1
70 1
72 1
74 1
96 1
75 1
46 2
42 2
65 2
46 2
58 2
42 2
48 2
58 2
50 2
80 2
63 2
65 2
70 2
70 2
72 2
97 2
46 2
56 2
70 2
70 2
72 2
76 2
90 2
76 2
92 2
21 3
40 3
44 3
54 3
36 3
40 3
56 3
60 3
48 3
53 3
60 3
60 3
65 3
68 3
60 3
81 3
81 3
48 3
48 3
56 3
68 3
75 3
81 3
48 3
68 3
35 4
37 4
49 4
46 4
63 4
39 4
46 4
56 4
63 4
65 4
56 4
65 4
70 4
63 4
65 4
70 4
77 4
81 4
86 4
70 4
70 4
77 4
77 4
81 4
77 4
16 5
19 5
19 5
32 5
33 5
33 5
30 5
42 5
42 5
33 5
26 5
30 5
40 5
54 5
34 5
34 5
47 5
47 5
42 5
47 5
54 5
54 5
56 5
60 5
44 5


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[David Arnold]

Added your code:


flies <- read.table("example12_1.dat",header=TRUE,sep="\t")

flies$group <- factor(flies$group,5:1)

levels(flies$group) <- paste0("Group ",5:1)

boxplot(long ~ group,
        data = flies,
        pars = list(las=1, ylim=c(10,110), xaxt="n", bty="n"),
        horizontal = TRUE,
        col = "red")

axis(1,at=seq(10,110,20))

Almost worked perfectly, except the frame around the plot remains, which is strange as you have bty="n".



David

[David Carlson]

Sorry about that. I got rid of the box another way and then switched to using pars=
without making sure it worked. This works:

flies$group <- factor(flies$group, 5:1) # 1
levels(flies$group) <- paste0("Group ", 5:1) # 2

oldpar <- par(bty="n")
boxplot(long ~ group,
        data = flies,
        pars=list(las=1, ylim=c(10, 110), xaxt="n"),
        horizontal = TRUE,
        col = "red")

axis(1, at=seq(10, 110, 20))
par(oldpar)

-------------------------------------
David

-------------------------------------
David L Carlson
Associate Professor of Anthropology
Texas A&M University
College Station, TX 77840-4352


----- Original Message -----

From: "darnold" <[hidden email]>
To: [hidden email]
Sent: Thursday, July 12, 2012 7:53:33 PM
Subject: Re: [R] Adjusting format of boxplot

Added your code:


flies <- read.table("example12_1.dat",header=TRUE,sep="\t")

flies$group <- factor(flies$group,5:1)

levels(flies$group) <- paste0("Group ",5:1)

boxplot(long ~ group,
data = flies,
pars = list(las=1, ylim=c(10,110), xaxt="n", bty="n"),
horizontal = TRUE,
col = "red")

axis(1,at=seq(10,110,20))

Almost worked perfectly, except the frame around the plot remains, which is
strange as you have bty="n".

http://r.789695.n4.nabble.com/file/n4636381/Rplot11.png 

David

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View this message in context: http://r.789695.n4.nabble.com/Adjusting-format-of-boxplot-tp4636373p4636381.html 
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______________________________________________
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and provide commented, minimal, self-contained, reproducible code.

______________________________________________
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and provide commented, minimal, self-contained, reproducible code.

[Peter Ehlers]

On 2012-07-12 18:39, David L Carlson wrote:

> Sorry about that. I got rid of the box another way and then switched to using pars=
> without making sure it worked. This works:
>
> flies$group <- factor(flies$group, 5:1) # 1
> levels(flies$group) <- paste0("Group ", 5:1) # 2
>
> oldpar <- par(bty="n")
> boxplot(long ~ group,
>          data = flies,
>          pars=list(las=1, ylim=c(10, 110), xaxt="n"),
>          horizontal = TRUE,
>          col = "red")
>
> axis(1, at=seq(10, 110, 20))
> par(oldpar)

Or you could add 'frame = FALSE' to the boxplot() call.

Peter Ehlers

>
> -------------------------------------
> David
>
> -------------------------------------
> David L Carlson
> Associate Professor of Anthropology
> Texas A&M University
> College Station, TX 77840-4352
>
>
> ----- Original Message -----
>
> From: "darnold" <[hidden email]>
> To: [hidden email]
> Sent: Thursday, July 12, 2012 7:53:33 PM
> Subject: Re: [R] Adjusting format of boxplot
>
> Added your code:
>
>
> flies <- read.table("example12_1.dat",header=TRUE,sep="\t")
>
> flies$group <- factor(flies$group,5:1)
>
> levels(flies$group) <- paste0("Group ",5:1)
>
> boxplot(long ~ group,
> data = flies,
> pars = list(las=1, ylim=c(10,110), xaxt="n", bty="n"),
> horizontal = TRUE,
> col = "red")
>
> axis(1,at=seq(10,110,20))
>
> Almost worked perfectly, except the frame around the plot remains, which is
> strange as you have bty="n".
>
> http://r.789695.n4.nabble.com/file/n4636381/Rplot11.png
>
> David
>

______________________________________________
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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.

[Peter Ehlers]

And I guess I would also either leave out the vertical axis line
or add box(bty="l") after the axis(1, ....) call.

Peter Ehlers

On 2012-07-12 19:48, Peter Ehlers wrote:

> On 2012-07-12 18:39, David L Carlson wrote:
>> Sorry about that. I got rid of the box another way and then switched to using pars=
>> without making sure it worked. This works:
>>
>> flies$group <- factor(flies$group, 5:1) # 1
>> levels(flies$group) <- paste0("Group ", 5:1) # 2
>>
>> oldpar <- par(bty="n")
>> boxplot(long ~ group,
>>           data = flies,
>>           pars=list(las=1, ylim=c(10, 110), xaxt="n"),
>>           horizontal = TRUE,
>>           col = "red")
>>
>> axis(1, at=seq(10, 110, 20))
>> par(oldpar)
>
> Or you could add 'frame = FALSE' to the boxplot() call.
>
> Peter Ehlers
>
>>
>> -------------------------------------
>> David
>>
>> -------------------------------------
>> David L Carlson
>> Associate Professor of Anthropology
>> Texas A&M University
>> College Station, TX 77840-4352
>>
>>
>> ----- Original Message -----
>>
>> From: "darnold" <[hidden email]>
>> To: [hidden email]
>> Sent: Thursday, July 12, 2012 7:53:33 PM
>> Subject: Re: [R] Adjusting format of boxplot
>>
>> Added your code:
>>
>>
>> flies <- read.table("example12_1.dat",header=TRUE,sep="\t")
>>
>> flies$group <- factor(flies$group,5:1)
>>
>> levels(flies$group) <- paste0("Group ",5:1)
>>
>> boxplot(long ~ group,
>> data = flies,
>> pars = list(las=1, ylim=c(10,110), xaxt="n", bty="n"),
>> horizontal = TRUE,
>> col = "red")
>>
>> axis(1,at=seq(10,110,20))
>>
>> Almost worked perfectly, except the frame around the plot remains, which is
>> strange as you have bty="n".
>>
>> http://r.789695.n4.nabble.com/file/n4636381/Rplot11.png
>>
>> David
>>
>
> ______________________________________________
> [hidden email] mailing list
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.
>

______________________________________________
[hidden email] mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.

[Ivan Calandra-2]

Hi Peter,

I had never heard of this 'frame' argument and it's a breakthrough for
me to be finally able to get rid of this frame!

But where is this argument explained? I couldn't find it in plot(),
boxplot(), bxp() or par().

Thank you for your answer :)
Ivan

--
Ivan CALANDRA
Université de Bourgogne
UMR CNRS/uB 6282 Biogéosciences
6 Boulevard Gabriel
21000 Dijon, FRANCE
+33(0)3.80.39.63.06
[hidden email]
http://biogeosciences.u-bourgogne.fr/calandra

Le 13/07/12 04:48, Peter Ehlers a écrit :

> On 2012-07-12 18:39, David L Carlson wrote:
>> Sorry about that. I got rid of the box another way and then switched
>> to using pars=
>> without making sure it worked. This works:
>>
>> flies$group <- factor(flies$group, 5:1) # 1
>> levels(flies$group) <- paste0("Group ", 5:1) # 2
>>
>> oldpar <- par(bty="n")
>> boxplot(long ~ group,
>>          data = flies,
>>          pars=list(las=1, ylim=c(10, 110), xaxt="n"),
>>          horizontal = TRUE,
>>          col = "red")
>>
>> axis(1, at=seq(10, 110, 20))
>> par(oldpar)
>
> Or you could add 'frame = FALSE' to the boxplot() call.
>
> Peter Ehlers
>
>>
>> -------------------------------------
>> David
>>
>> -------------------------------------
>> David L Carlson
>> Associate Professor of Anthropology
>> Texas A&M University
>> College Station, TX 77840-4352
>>
>>
>> ----- Original Message -----
>>
>> From: "darnold" <[hidden email]>
>> To: [hidden email]
>> Sent: Thursday, July 12, 2012 7:53:33 PM
>> Subject: Re: [R] Adjusting format of boxplot
>>
>> Added your code:
>>
>>
>> flies <- read.table("example12_1.dat",header=TRUE,sep="\t")
>>
>> flies$group <- factor(flies$group,5:1)
>>
>> levels(flies$group) <- paste0("Group ",5:1)
>>
>> boxplot(long ~ group,
>> data = flies,
>> pars = list(las=1, ylim=c(10,110), xaxt="n", bty="n"),
>> horizontal = TRUE,
>> col = "red")
>>
>> axis(1,at=seq(10,110,20))
>>
>> Almost worked perfectly, except the frame around the plot remains,
>> which is
>> strange as you have bty="n".
>>
>> http://r.789695.n4.nabble.com/file/n4636381/Rplot11.png
>>
>> David
>>
>
> ______________________________________________
> [hidden email] mailing list
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide
> http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.
>
>

______________________________________________
[hidden email] mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.

[Gerrit Eichner]

Hello, Ivan,

you'll find argument frame (actually frame.plot) explained in

?plot.default

  Regards  --  Gerrit

> Hi Peter,
>
> I had never heard of this 'frame' argument and it's a breakthrough for me to
> be finally able to get rid of this frame!
>
> But where is this argument explained? I couldn't find it in plot(),
> boxplot(), bxp() or par().
>
> Thank you for your answer :)
> Ivan
>
> --
> Ivan CALANDRA
> Université de Bourgogne
> UMR CNRS/uB 6282 Biogéosciences
> 6 Boulevard Gabriel
> 21000 Dijon, FRANCE
> +33(0)3.80.39.63.06
> [hidden email]
> http://biogeosciences.u-bourgogne.fr/calandra
>
> Le 13/07/12 04:48, Peter Ehlers a écrit :
>> On 2012-07-12 18:39, David L Carlson wrote:
>>> Sorry about that. I got rid of the box another way and then switched to
>>> using pars=
>>> without making sure it worked. This works:
>>>
>>> flies$group <- factor(flies$group, 5:1) # 1
>>> levels(flies$group) <- paste0("Group ", 5:1) # 2
>>>
>>> oldpar <- par(bty="n")
>>> boxplot(long ~ group,
>>>          data = flies,
>>>          pars=list(las=1, ylim=c(10, 110), xaxt="n"),
>>>          horizontal = TRUE,
>>>          col = "red")
>>>
>>> axis(1, at=seq(10, 110, 20))
>>> par(oldpar)
>>
>> Or you could add 'frame = FALSE' to the boxplot() call.
>>
>> Peter Ehlers
>>
>>>
>>> -------------------------------------
>>> David
>>>
>>> -------------------------------------
>>> David L Carlson
>>> Associate Professor of Anthropology
>>> Texas A&M University
>>> College Station, TX 77840-4352
>>>
>>>
>>> ----- Original Message -----
>>>
>>> From: "darnold" <[hidden email]>
>>> To: [hidden email]
>>> Sent: Thursday, July 12, 2012 7:53:33 PM
>>> Subject: Re: [R] Adjusting format of boxplot
>>>
>>> Added your code:
>>>
>>>
>>> flies <- read.table("example12_1.dat",header=TRUE,sep="\t")
>>>
>>> flies$group <- factor(flies$group,5:1)
>>>
>>> levels(flies$group) <- paste0("Group ",5:1)
>>>
>>> boxplot(long ~ group,
>>> data = flies,
>>> pars = list(las=1, ylim=c(10,110), xaxt="n", bty="n"),
>>> horizontal = TRUE,
>>> col = "red")
>>>
>>> axis(1,at=seq(10,110,20))
>>>
>>> Almost worked perfectly, except the frame around the plot remains, which
>>> is
>>> strange as you have bty="n".
>>>
>>> http://r.789695.n4.nabble.com/file/n4636381/Rplot11.png
>>>
>>> David
>>>
>>
>> ______________________________________________
>> [hidden email] mailing list
>> https://stat.ethz.ch/mailman/listinfo/r-help
>> PLEASE do read the posting guide
>> http://www.R-project.org/posting-guide.html
>> and provide commented, minimal, self-contained, reproducible code.
>>
>>
>
> ______________________________________________
> [hidden email] mailing list
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.

______________________________________________
[hidden email] mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.

[Bert Gunter]

?plot.default
## documents the frame.plot arg and
?boxplot
## documents miscellaneous graphical parameters that go into ...

I would agree that the documentation is relatively poor, a legacy of the
original graphics system, which splits up parameter documentation among
par(), plot(), and specific types of plots. I would guess Paull Murrell's
book also has it, but I haven't checked.

-- Bert

On Fri, Jul 13, 2012 at 12:45 AM, Ivan Calandra <
[hidden email]> wrote:

> Hi Peter,
>
> I had never heard of this 'frame' argument and it's a breakthrough for me
> to be finally able to get rid of this frame!
>
> But where is this argument explained? I couldn't find it in plot(),
> boxplot(), bxp() or par().
>
> Thank you for your answer :)
> Ivan
>
> --
> Ivan CALANDRA
> Université de Bourgogne
> UMR CNRS/uB 6282 Biogéosciences
> 6 Boulevard Gabriel
> 21000 Dijon, FRANCE
> +33(0)3.80.39.63.06
> [hidden email]
> http://biogeosciences.u-**bourgogne.fr/calandra<http://biogeosciences.u-bourgogne.fr/calandra>
>
> Le 13/07/12 04:48, Peter Ehlers a écrit :
>
>> On 2012-07-12 18:39, David L Carlson wrote:
>>
>>> Sorry about that. I got rid of the box another way and then switched to
>>> using pars=
>>> without making sure it worked. This works:
>>>
>>> flies$group <- factor(flies$group, 5:1) # 1
>>> levels(flies$group) <- paste0("Group ", 5:1) # 2
>>>
>>> oldpar <- par(bty="n")
>>> boxplot(long ~ group,
>>>          data = flies,
>>>          pars=list(las=1, ylim=c(10, 110), xaxt="n"),
>>>          horizontal = TRUE,
>>>          col = "red")
>>>
>>> axis(1, at=seq(10, 110, 20))
>>> par(oldpar)
>>>
>>
>> Or you could add 'frame = FALSE' to the boxplot() call.
>>
>> Peter Ehlers
>>
>>
>>> ------------------------------**-------
>>> David
>>>
>>> ------------------------------**-------
>>> David L Carlson
>>> Associate Professor of Anthropology
>>> Texas A&M University
>>> College Station, TX 77840-4352
>>>
>>>
>>> ----- Original Message -----
>>>
>>> From: "darnold" <[hidden email]>
>>> To: [hidden email]
>>> Sent: Thursday, July 12, 2012 7:53:33 PM
>>> Subject: Re: [R] Adjusting format of boxplot
>>>
>>> Added your code:
>>>
>>>
>>> flies <- read.table("example12_1.dat",**header=TRUE,sep="\t")
>>>
>>> flies$group <- factor(flies$group,5:1)
>>>
>>> levels(flies$group) <- paste0("Group ",5:1)
>>>
>>> boxplot(long ~ group,
>>> data = flies,
>>> pars = list(las=1, ylim=c(10,110), xaxt="n", bty="n"),
>>> horizontal = TRUE,
>>> col = "red")
>>>
>>> axis(1,at=seq(10,110,20))
>>>
>>> Almost worked perfectly, except the frame around the plot remains, which
>>> is
>>> strange as you have bty="n".
>>>
>>> http://r.789695.n4.nabble.com/**file/n4636381/Rplot11.png<http://r.789695.n4.nabble.com/file/n4636381/Rplot11.png>
>>>
>>> David
>>>
>>>
>> ______________________________**________________
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>> PLEASE do read the posting guide http://www.R-project.org/**
>> posting-guide.html <http://www.R-project.org/posting-guide.html>
>> and provide commented, minimal, self-contained, reproducible code.
>>
>>
>>
> ______________________________**________________
> [hidden email] mailing list
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> PLEASE do read the posting guide http://www.R-project.org/**
> posting-guide.html <http://www.R-project.org/posting-guide.html>
> and provide commented, minimal, self-contained, reproducible code.
>

--

Bert Gunter
Genentech Nonclinical Biostatistics

Internal Contact Info:
Phone: [phone]
Website:
http://pharmadevelopment.roche.com/index/pdb/pdb-functional-groups/pdb-biostatistics/pdb-ncb-home.htm

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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.