[R] [External] add equation and rsqared to plot

Bert Gunter bgunter@4567 @end|ng |rom gm@||@com
Fri Apr 8 19:32:41 CEST 2022


Thanks, Bill.

This is a subtlety I certainly did not understand.


Bert

On Fri, Apr 8, 2022 at 10:08 AM Bill Dunlap <williamwdunlap using gmail.com> wrote:
>
> plotmath also accepts names and calls, which it treats as though they were single-element expressions.  That is why quote() generally works.  quote("string") or quote(123) does not invoke plotmath, as quote returns a literal string or number when given such a thing.
>
> plot(0:1,0:1,type="n")
> text(.2, .6, expression(phi^epsilon))
> text(.2, .4, quote(phi^epsilon))
> text(.7, .6, expression(1234567890123456))
> text(.7, .4, quote(1234567890123456))
>
> -Bill
>
> On Fri, Apr 8, 2022 at 9:49 AM Bert Gunter <bgunter.4567 using gmail.com> wrote:
>>
>> Yes, I also find it somewhat confusing. Perhaps this will help. I
>> apologize beforehand if I have misunderstood and you already know all
>> this.
>>
>> The key is to realize that plotmath works with **expressions**,
>> unevaluated forms that include special plotmath keywords, like 'atop',
>> and symbols. So...
>>
>> ## simple example with plotmath used in plot's title
>>
>> ## This will produce an error, as 'atop' is not an R function:
>> plot(1,1, main = atop(x,y))
>>
>> ## to make this work, we need an expression on the rhs of 'main =' . A
>> simple way to do this is to use quote():
>>
>> plot(1,1,main = quote(atop(x,y)))
>>
>> ## Note that this produce 'x' above 'y' **without quoting x and y**.
>> That's because
>> ## this is an expression that plotmath parses and evaluates according
>> to its own rules,
>> ## shown in ?plotmath
>>
>> ## Now suppose we have:
>> x <- 'first line'
>> y <- 'second line'
>>
>> ## and we want to display these quoted strings instead of 'x' and 'y'
>> in the title
>>
>> ## Then this will *not* work -- it gives the same result as before:
>> plot(1,1,main = quote(atop(x,y)))
>>
>> ## So what is needed here is R's 'computing on the language"
>> capability to substitute
>> ## the quoted strings for x and y in the expression. Here are two
>> simple ways to do this:
>>
>> ## First using substitute()
>>
>> plot(1,1, main = substitute(atop(x,y), list (x =x, y = y)))
>>
>> ## Second, using bquote()
>>
>> plot(1,1, main = bquote(atop(.(x), .(y))))
>>
>> ## More complicated expressions can be built up using plotmath's rules.
>> ## But you need to be careful about distinguishing plotmath expressions and
>> ## ordinary R expressions. For example:
>>
>> x <- pi/4  ## a number
>>
>> ## WRONG -- will display as written. bquote() is the same as quote() here.
>> plot(1,1, main = bquote(sin(pi/4) == round(x,2)))
>>
>> ## WRONG -- will substitute value of x rounded to session default
>> ## in previous. This is a mistake in using bquote
>> plot(1,1, main = bquote(sin(pi/4) == round(.(x), 2)))
>>
>> ## RIGHT -- use of bquote
>> plot(1,1, main = bquote(sin(pi/4) == .(round(x,2))))
>> ## or -- using substitute
>> plot(1,1, main = substitute(sin(pi/4) == x, list(x = round(x,2))))
>>
>> Hope this is helpful and, again, apologies if I have misunderstood.
>>
>> Bert Gunter
>>
>> "The trouble with having an open mind is that people keep coming along
>> and sticking things into it."
>> -- Opus (aka Berkeley Breathed in his "Bloom County" comic strip )
>>
>> On Fri, Apr 8, 2022 at 7:42 AM PIKAL Petr <petr.pikal using precheza.cz> wrote:
>> >
>> > Hallo David
>> >
>> > Fair enough. Thanks for your explanation, which told me what should be done. It works perfectly for my example but I am still confused how to get expressions given to atop (or other functions) be evaluated and help page does not enlighten me, so I am still puzzled.
>> >
>> > When I borrow example from help,
>> >
>> > plot(1:10, type="n", xlab="", ylab="", main = "plot math & numbers")
>> > theta <- 1.23 ; mtext(bquote(hat(theta) == .(theta)), line= .25)
>> > for(i in 2:9)
>> >     text(i, i+1, substitute(list(xi, eta) == group("(",list(x,y),")"),
>> >                             list(x = i, y = i+1)))
>> >
>> > #this is OK
>> > ex1 <- expression("      first: {f * minute}(x) " == {f * minute}(x))
>> > ex2 <- expression("               second: {f * second}(x) "        == {f * second}(x))
>> > text(1, 9.6, ex1, adj=0)
>> > text(1, 9.0, ex2, adj=0)
>> >
>> > #and this is not
>> > text(2, 8, expression(atop(ex1, ex2)))
>> > text(2, 7, substitute( atop(ex1, ex2), list(ex1=ex1,ex2=ex2)))
>> >
>> > #and this works
>> > text(2, 6, expression(atop(1,2)))
>> >
>> > I tried to use eval when calling atop, but it did not work either. Therefore some hint in help page could be quite handy.
>> >
>> > Best regards
>> > Petr Pikal
>> >
>> > S pozdravem | Best Regards
>> > RNDr. Petr PIKAL
>> > Vedoucí Výzkumu a vývoje | Research Manager
>> > PRECHEZA a.s.
>> > nábř. Dr. Edvarda Beneše 1170/24 | 750 02 Přerov | Czech Republic
>> > Tel: +420 581 252 256 | GSM: +420 724 008 364
>> > petr.pikal using precheza.cz | www.precheza.cz
>> >
>> > Osobní údaje: Informace o zpracování a ochraně osobních údajů obchodních partnerů PRECHEZA a.s. jsou zveřejněny na: https://www.precheza.cz/zasady-ochrany-osobnich-udaju/ | Information about processing and protection of business partner’s personal data are available on website: https://www.precheza.cz/en/personal-data-protection-principles/
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>> >
>> > -----Original Message-----
>> > From: David Winsemius <dwinsemius using comcast.net>
>> > Sent: Thursday, April 7, 2022 12:04 AM
>> > To: PIKAL Petr <petr.pikal using precheza.cz>; Richard M. Heiberger <rmh using temple.edu>
>> > Cc: r-help using r-project.org
>> > Subject: Re: [R] [External] add equation and rsqared to plot
>> >
>> >
>> > On 4/6/22 14:36, PIKAL Petr wrote:
>> > > Hallo David
>> > >
>> > > Thanks for your answer. atop itself somehow cannot use expression made by substitute  although those expressions itself are correct. I asked this question after roughly two hours of unsuccessful atempts.
>> > >
>> > > The second substitute or bquote solves the problem. Maybe this could propagate to help page, because although atop works smoothly with simple expressions, expressions with substitute are treated in a wrong way (at least by my opinion).
>> >
>> >
>> > It's not a problem with `atop`. It's a problem with your understanding of how R expressions and plotmath functions work. The argument(s) to `expression` are not evaluated. So `atop` was given two expressions `eq` and `req` and they in turn were not evaluated .... just taken as text values inside atop. Using either `substitute` (with a second argument
>> > list) or bquote (with its special dot function) forces evaluation by getting from the R symbol table those expressions which you had assigned as values of the symbols `eq` and `req`.
>> >
>> > The plotmath functions (not just atop but also `paste`, `frac`, `over` and all the rest on the ?plotmath pafge),  are designed to be "like"
>> > `expression` in not evaluating their arguments unless a "special value"
>> > like a Greek letter name or a defined %<op>% is found. Those functions are handled with a different parser than regular R functions. So they are not designed to go out to the R symbol table (which is where even locally defined object names are kept) to find values.
>> >
>> >
>> > Hope this helps;
>> >
>> > David.
>> >
>> >
>> > --
>> >
>> > David.
>> >
>> > >
>> > > Thanks again.
>> > >
>> > > Best regards.
>> > > Petr
>> > >
>> > >
>> > > ________________________________________
>> > > Od: David Winsemius <dwinsemius using comcast.net>
>> > > Odesláno: 6. dubna 2022 23:20
>> > > Komu: PIKAL Petr; Richard M. Heiberger
>> > > Kopie: r-help using r-project.org
>> > > Předmět: Re: [R] [External] add equation and rsqared to plot
>> > >
>> > > Try this:
>> > >
>> > >
>> > > lm_eqn = function(m) {
>> > >       l <- list(a = format(coef(m)[1], digits = 4),
>> > >                 b = format(abs(coef(m)[2]), digits = 4),
>> > >                 r2 = format(summary(m)$r.squared, digits = 3),
>> > >                 r2adj = format(summary(m)$adj.r.squared, digits = 3));
>> > >       if (coef(m)[2] >= 0)  {
>> > >           eq <- substitute(italic(y) == a + b %.% italic(x), l)
>> > >       } else {
>> > >           eq <- substitute(italic(y) == a - b %.% italic(x),l)
>> > >
>> > >       }
>> > >       req <- substitute(italic(r)^2~"="~r2* ","~~italic(adj.r)^2~"="~r2adj,l)
>> > >       a_regs <- substitute( atop(eq, req), list(eq=eq,req=req)) }
>> > >
>> > > --
>> > >
>> > > David.
>> > >
>> > > On 4/6/22 13:47, PIKAL Petr wrote:
>> > >> Hallo Richard.
>> > >>
>> > >> Did you try the example? I Used atop but with the syntax I made, the
>> > >> result is
>> > >>
>> > >> eq
>> > >> req
>> > >>
>> > >> but not the equations.
>> > >>
>> > >> I send the picture, but I am not sure if it will go through.
>> > >>
>> > >> Best regards
>> > >> Petr
>> > >>
>> > >> ________________________________________
>> > >> Od: Richard M. Heiberger <rmh using temple.edu>
>> > >> Odesláno: 6. dubna 2022 22:36
>> > >> Komu: PIKAL Petr
>> > >> Kopie: r-help using r-project.org
>> > >> Předmět: Re: [External] [R] add equation and rsqared to plot
>> > >>
>> > >> I think you are looking for atop(a,b) See ? plotmath
>> > >>
>> > >>> On Apr 06, 2022, at 15:58, PIKAL Petr <petr.pikal using precheza.cz> wrote:
>> > >>>
>> > >>> Dear all
>> > >>>
>> > >>>
>> > >>> I want to add equation and rsquared values to plot and I am lost in correct expression form. I want to have 2 lines, one with equation and one with r squared values.
>> > >>>
>> > >>>
>> > >>> Here is what I made.
>> > >>>
>> > >>> # function to extract values from lm fit.
>> > >>>
>> > >>>
>> > >>> lm_eqn = function(m) {
>> > >>>    l <- list(a = format(coef(m)[1], digits = 4),
>> > >>>        b = format(abs(coef(m)[2]), digits = 4),
>> > >>>        r2 = format(summary(m)$r.squared, digits = 3),
>> > >>>        r2adj = format(summary(m)$adj.r.squared, digits = 3));
>> > >>>    if (coef(m)[2] >= 0)  {
>> > >>>      eq <- substitute(italic(y) == a + b %.% italic(x), l)
>> > >>>    } else {
>> > >>>      eq <- substitute(italic(y) == a - b %.% italic(x),l)
>> > >>>
>> > >>>    }
>> > >>>    req <- substitute(italic(r)^2~"="~r2* ","~~italic(adj.r)^2~"="~r2adj,l)
>> > >>>    expression(atop(eq, req))
>> > >>> }
>> > >>>
>> > >>>
>> > >>> #Example
>> > >>>
>> > >>> x <- 1:10
>> > >>> y <- x*5 +rnorm(10)
>> > >>> plot(x,y)
>> > >>> fit <- lm(y~x)
>> > >>> text(4,40, lm_eqn(fit))
>> > >>>
>> > >>>
>> > >>> I know that both eq and req are correct expressions and when the last line in function is either eq or req, the example gives correct result.
>> > >>>
>> > >>>
>> > >>> But how to get both expressions one above the other is mystery.
>> > >>>
>> > >>> Please help.
>> > >>>
>> > >>>
>> > >>> Best regards.
>> > >>>
>> > >>> Petr
>> > >>>
>> > >>>
>> > >>>
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>> > >> obchodních partnerů PRECHEZA a.s. jsou zveřejněny na:
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>> > >> R-help using r-project.org mailing list -- To UNSUBSCRIBE and more, see
>> > >> 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.
>> > ______________________________________________
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>>
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