You need to know the number of decimal places reported for the data. I don't 
know of any straightforward way to compute that from the data. 

Given the number of decimals, you can compute "true" limit boundaries. This 
would be a way to compute the upper and lower boundaries and the number of 
intervals from the data:

> decimals <- 1
> tlimit <- (10^-decimals)/2
> bks <- pretty(c(dat, max(dat)+tlimit), nclass.Sturges(dat))
> f <- cut(dat, breaks= bks-tlimit, right=FALSE, dig.lab=10L)

You would also need to decide if you want your factor levels to reflect the 
true boundaries or the stated boundaries:

> levels(f)
[1] "[0.55,0.75)" "[0.75,0.95)" "[0.95,1.15)" "[1.15,1.35)" "[1.35,1.55)"
[6] "[1.55,1.75)" "[1.75,1.95)" "[1.95,2.15)"

Vs. 

> lvls <- levels(cut(dat, breaks= bks, right=FALSE, dig.lab=10L))
> levels(f) <- lvls
> levels(f)
[1] "[0.6,0.8)" "[0.8,1)"   "[1,1.2)"   "[1.2,1.4)" "[1.4,1.6)" "[1.6,1.8)"
[7] "[1.8,2)"   "[2,2.2)"  

----------------------------------------
David L Carlson
Department of Anthropology
Texas A&M University
College Station, TX 77843-4352

From: Jose Claudio Faria <joseclaudio.fa...@gmail.com> 
Sent: Monday, September 24, 2018 2:01 PM
To: David L Carlson <dcarl...@tamu.edu>
Cc: Jeff Newmiller <jdnew...@dcn.davis.ca.us>; r-help@r-project.org
Subject: Re: [R] cut{base}: is it a bug?

Dears,

Thank you for your contribution!

However, this function is important in a generic usage package for frequency 
distribution tables: fdth 
(https://urldefense.proofpoint.com/v2/url?u=https-3A__cran.r-2Dproject.org_web_packages_fdth_index.html&d=DwMFaQ&c=ODFT-G5SujMiGrKuoJJjVg&r=veMGHMCNZShld-KX-bIj4jRE_tP9ojUvB_Lqp0ieSdk&m=uucFFh4rZR34wAl-W854iMcjYtwQL9AF0bUtWXNd1rQ&s=wB3zkm0Z2hvc1svMqrK7BS3aQS7VlLlteA8BFZd-sQA&e=).

In this case, when I do not know in advance what the user data is, what is the 
best option to avoid deviations as centuados as the example?

The data used in the example was sent to me from a teacher trying to reproduce 
in class the table of a book.

Best,


///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\
Jose Claudio Faria
UESC/DCET/Brasil
joseclaudio.faria at 
https://urldefense.proofpoint.com/v2/url?u=http-3A__gmail.com&d=DwMFaQ&c=ODFT-G5SujMiGrKuoJJjVg&r=veMGHMCNZShld-KX-bIj4jRE_tP9ojUvB_Lqp0ieSdk&m=uucFFh4rZR34wAl-W854iMcjYtwQL9AF0bUtWXNd1rQ&s=3NkW6wyXOvCsrjWVqle139SjYzQ1xGL_aOQ3ec8L85Y&e=
Telefones:
55(73)3680.5545 - UESC
55(73)99966.9100 - VIVO
55(73)98817.6159 - OI
///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\

If you have software to deal with statistics, you have arms;
if you have good software, you have arms and legs;
if you have software like R, you have arms, legs and wings...
the height of your flight depends only on you!

2018-09-24 14:42 GMT-03:00 David L Carlson <mailto:dcarl...@tamu.edu>:
Yes, I should have included that point. The cut() function "encourages" exact 
comparison of values by including the right= argument without a warning that 
this may create unexpected results. With truly continuous data, values falling 
exactly on the boundary would be rare. 

Most data arrives from instruments that measure to limited precision. 
Introductory statistics texts deal with this by distinguishing between "true" 
and "stated" class limits. Or, like Lyman Ott, recommend choosing the starting 
point interval such that "no measurement falls on a point of division between 
two intervals."

----------------------------------------
David L Carlson
Department of Anthropology
Texas A&M University
College Station, TX 77843-4352

-----Original Message-----
From: Jeff Newmiller <mailto:jdnew...@dcn.davis.ca.us> 
Sent: Monday, September 24, 2018 10:41 AM
To: mailto:r-help@r-project.org; David L Carlson <mailto:dcarl...@tamu.edu>; 
Jose Claudio Faria <mailto:joseclaudio.fa...@gmail.com>; 
mailto:r-help@r-project.org
Subject: Re: [R] cut{base}: is it a bug?

"Subtracting a bit" only fixes the problem for the test data... it introduces a 
bias in any continuous data you happen to throw at it. However, if you have 
data with known rounding applied (e.g. published tabular data) then the 
subtracting trick can be useful. In general you should not expect floating 
point fractions to behave like exact values in your analysis.

On September 24, 2018 8:14:09 AM PDT, David L Carlson 
<mailto:dcarl...@tamu.edu> wrote:
>You've been bitten by FAQ 7.31: Why doesn't R think these numbers are
>equal?
>https://urldefense.proofpoint.com/v2/url?u=https-3A__cran.r-2Dproject.org_doc_FAQ_R-2DFAQ.html-23Why-2Ddoesn-5F0027t-2DR-2Dthink-2Dthese-2Dnumbers-2Dare-2Dequal-5F003f&d=DwMFaQ&c=ODFT-G5SujMiGrKuoJJjVg&r=veMGHMCNZShld-KX-bIj4jRE_tP9ojUvB_Lqp0ieSdk&m=uucFFh4rZR34wAl-W854iMcjYtwQL9AF0bUtWXNd1rQ&s=bmSMJ_7ca1pAJtmWsC5SlqVYRV2rn75Kgco0uSbRHkE&e=
>
>Your boundaries and your data values are not what you think they are.
>This is a limitation of digital computing not R.
>
>> print(seq(from=.6, to=2.2, by=.2), digits=17)
>[1] 0.59999999999999998 0.80000000000000004 1.00000000000000000
>1.20000000000000018
>[5] 1.39999999999999991 1.60000000000000009 1.80000000000000027
>2.00000000000000000
>[9] 2.20000000000000018
>
>> print(dat, digits=17)
>[1] 0.59999999999999998 0.59999999999999998 0.59999999999999998
>0.69999999999999996
>[5] 0.69999999999999996 0.69999999999999996 0.69999999999999996
>0.69999999999999996
>[9] 0.80000000000000004 0.80000000000000004 0.80000000000000004
>0.90000000000000002
>[13] 0.90000000000000002 0.90000000000000002 0.90000000000000002
>1.00000000000000000
>[17] 1.00000000000000000 1.00000000000000000 1.00000000000000000
>1.10000000000000009
>[21] 1.10000000000000009 1.10000000000000009 1.19999999999999996
>1.19999999999999996
>[25] 1.19999999999999996 1.19999999999999996 1.30000000000000004
>1.30000000000000004
>[29] 1.30000000000000004 1.39999999999999991 1.39999999999999991
>1.39999999999999991
>[33] 1.50000000000000000 1.50000000000000000 1.50000000000000000
>1.60000000000000009
>[37] 1.60000000000000009 1.69999999999999996 1.69999999999999996
>1.69999999999999996
>[41] 1.69999999999999996 1.80000000000000004 1.80000000000000004
>1.80000000000000004
>[45] 1.89999999999999991 1.89999999999999991 2.00000000000000000
>2.00000000000000000
>[49] 2.00000000000000000 2.00000000000000000 2.00000000000000000
>2.10000000000000009
>
>The simplest solution is to subtract a bit. This also means you don't
>need the include.lowest= or right= arguments:
>
>> f <- cut(dat,
>+           breaks= seq(from=.6-.01, to=2.2-.01, by=.2),
>+           dig.lab=10L)
>> as.matrix(tb <- table(f))
>            [,1]
>[0.59,0.79)    8
>[0.79,0.99)    7
>[0.99,1.19)    7
>[1.19,1.39)    7
>[1.39,1.59)    6
>[1.59,1.79)    6
>[1.79,1.99)    5
>[1.99,2.19]    6
>
>----------------------------------------
>David L Carlson
>Department of Anthropology
>Texas A&M University
>College Station, TX 77843-4352
>
>
>-----Original Message-----
>From: R-help <mailto:r-help-boun...@r-project.org> On Behalf Of Jose Claudio
>Faria
>Sent: Monday, September 24, 2018 9:32 AM
>To: mailto:r-help@r-project.org
>Subject: [R] cut{base}: is it a bug?
>
>Dears members,
>
>Is the below a bug of the cut {base} function?
>
>dat <- c(
> 0.6, 0.6, 0.6, 0.7, 0.7, 0.7, 0.7, 0.7, #(8)
> 0.8, 0.8, 0.8, 0.9, 0.9, 0.9, 0.9,        #(7)
> 1.0, 1.0, 1.0, 1.0, 1.1, 1.1, 1.1,        #(7)
> 1.2, 1.2, 1.2, 1.2, 1.3, 1.3, 1.3,        #(7)
> 1.4, 1.4, 1.4, 1.5, 1.5, 1.5,               #(6)
> 1.6, 1.6, 1.7, 1.7, 1.7, 1.7,               #(6)
> 1.8, 1.8, 1.8, 1.9, 1.9,                      #(5)
> 2.0, 2.0, 2.0, 2.0, 2.0, 2.1                #(6)
> )
>
># making class from function "cut"
>(f <- cut(dat,
>          breaks= seq(from=.6, to=2.2, by=.2),
>          include.lowest=TRUE,
>          dig.lab=10L,
>          right=FALSE))
>
># more easy to see the table
>as.matrix(tb <- table(f))
>
># Checking
>print(length(dat[dat >= 0.6 & dat < 0.8])) == tb[1]
>print(length(dat[dat >= 0.8 & dat < 1.0])) == tb[2]
>print(length(dat[dat >= 1.0 & dat < 1.2])) == tb[3]  # !?
>print(length(dat[dat >= 1.2 & dat < 1.4])) == tb[4]  # !?
>print(length(dat[dat >= 1.4 & dat < 1.6])) == tb[5]
>print(length(dat[dat >= 1.6 & dat < 1.8])) == tb[6]  # !?
>print(length(dat[dat >= 1.8 & dat < 2.0])) == tb[7]  # !?
>print(length(dat[dat >= 2.0 & dat < 2.2])) == tb[8]
>
>Best,
>///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\
>Jose Claudio Faria
>UESC/DCET/Brasil
>joseclaudio.faria at 
>https://urldefense.proofpoint.com/v2/url?u=http-3A__gmail.com&d=DwMFaQ&c=ODFT-G5SujMiGrKuoJJjVg&r=veMGHMCNZShld-KX-bIj4jRE_tP9ojUvB_Lqp0ieSdk&m=uucFFh4rZR34wAl-W854iMcjYtwQL9AF0bUtWXNd1rQ&s=3NkW6wyXOvCsrjWVqle139SjYzQ1xGL_aOQ3ec8L85Y&e=
>Telefones:
>55(73)3680.5545 - UESC
>55(73)99966.9100 - VIVO
>55(73)98817.6159 - OI
>///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\
>
>If you have software to deal with statistics, you have arms; if you
>have good software, you have arms and legs; if you have software like
>R, you have arms, legs and wings...
>the height of your flight depends only on you!
>
>       [[alternative HTML version deleted]]
>
>______________________________________________
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>and provide commented, minimal, self-contained, reproducible code.
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>PLEASE do read the posting guide
>https://urldefense.proofpoint.com/v2/url?u=http-3A__www.R-2Dproject.org_posting-2Dguide.html&d=DwMFaQ&c=ODFT-G5SujMiGrKuoJJjVg&r=veMGHMCNZShld-KX-bIj4jRE_tP9ojUvB_Lqp0ieSdk&m=uucFFh4rZR34wAl-W854iMcjYtwQL9AF0bUtWXNd1rQ&s=vyr1qxeTCBubIC7Ora6AWijq6kMLQ0yomzD31wUGgfY&e=
>and provide commented, minimal, self-contained, reproducible code.

-- 
Sent from my phone. Please excuse my brevity.

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