From 3b71d0a1e4da9835fb1b629d793af30cf5ab8152 Mon Sep 17 00:00:00 2001 From: hadley Date: Tue, 12 Jan 2016 10:43:09 -0600 Subject: [PATCH] New style diagrams. More writing & re-org --- diagrams/join-full.png | Bin 29204 -> 0 bytes diagrams/join-inner.png | Bin 11840 -> 29312 bytes diagrams/join-left.png | Bin 20027 -> 0 bytes diagrams/join-many-to-many.png | Bin 27658 -> 46327 bytes diagrams/join-one-to-many.png | Bin 27213 -> 33016 bytes diagrams/join-one-to-one.png | Bin 28223 -> 0 bytes diagrams/join-outer.png | Bin 0 -> 128728 bytes diagrams/join-right.png | Bin 21265 -> 0 bytes diagrams/join-setup.png | Bin 5375 -> 7389 bytes diagrams/join-setup2.png | Bin 5766 -> 17205 bytes diagrams/join.graffle | Bin 13751 -> 19588 bytes relational-data.Rmd | 177 +++++++++++++++------------------ 12 files changed, 80 insertions(+), 97 deletions(-) delete mode 100644 diagrams/join-full.png delete mode 100644 diagrams/join-left.png delete mode 100644 diagrams/join-one-to-one.png create mode 100644 diagrams/join-outer.png delete mode 100644 diagrams/join-right.png diff --git a/diagrams/join-full.png b/diagrams/join-full.png deleted file mode 100644 index 06dfc7e1778e38bdaa84072fd5243a5bb9007700..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 29204 zcmZ_01yCJN^d*c#fS?J%-QC^YA-DzS5!~I~-5xF>5Zoa+32uR4!QI_mc1V8v-`%h3 zql$tz^h|f(>ArpLx#tq0tSI#s5f>2x0^+TVw73cc1QZDb1mt@JDBw!7Yr!?}1JX%F zN))2<7ycgb;f=ktwi5&d$@J?tBurL)Hqc<&LQTtAOF^F3#LkA%$kfi*jM3f39%u~# z!SBus{Ay$7Y((sCV{Pli>n=e0w*@co`|D*UQsTc&oUH^%wG@}=1=#N_7Y#^}bzXy<6o#KObF!^F(W#LCJ5v|w=Z zuyrXDK;am;tl?dpFB}cmLnl{%g#? z+va*SpJw3e5lobo|8lz#cQ{vP;Jy~JGd9j|(HD&)mqMGupxcNb@GvxxFm((hS2>p9{Uh)f#HdKmPyMpU567)cjfAET*GKTEgd_1J-8M~2q2TD#O&6O8=2Z)$ z@0>RC@?hqGboUz;S9sNGLy?XU3!})v-0r>@yqn`CFNb?)^;$ET=TAl!&6{yw`W15{ zus&b^czHPKH13TI*>Xr+d1F`f^8CPLN0+c7D&epT4UcllW`vsNoi`yZ_dq)+b$!&d zLP|!)PiJm32+o&J9YH7LZRs3WCcF+p736k3)T*CJRR-Dqq0pq*PGMTwtcyTK|q0=_%Ddf_@$-`^4+)GPIP!Uw|~hcEXg?@&k#f0gCm&9!!B zDUV03w|72W>g-ol^|36|s5O+g4srZuQ#G*_zO9cCO(rcvF0>!5#y|7BRGRFMyn zb$hBrwa$EukjIhS_kL&kMu|uRUD^r(txHaATY+mSd4>|p=_2B{83WX0Y+$s=g+j+(~KsBvJM{{+>PCLK6R~)y7I6TfbgFD=TePr6(C;B5YTRC&; z8>&iQJV&8S5@o7Nhug_AQ~PD&$|l@f+2v@#Ot*#aCiv_%{qxp~8_}&UA!%Vz`di*s< zS6D)Gr`UH7&K|?9oBcGYQ~&vFN>!-_=Tn=z!)OMFkC28}n{h9qm#}R2t)^-NWg+%R zhtETzPvV`+(fst=ZBifIV#Vxl!I>>S57#BUUPpT9;Uq8xwLvoIg7hjvPnW8Zwmki~ z{ks_&O}0z)+T>m{R#oj-rDRaa0b9c5a-@Znk+3v9Cpi#q6B_)-IUwAzrW~JXjbWO3dJg$A+sIN)|dcmlBesJU5bfy z{}dn3dG6QPZwSG#0V{qlPyBztz3Um0h&Ea7cTj-K!$Zrt_r=^E&FrVCkN>0R6l3RO z8rw~5GEuCgR85`9;c7bGy_%D+Q#;`8&KpS@FN?5h;wor0V(hHYeLi-xHl8m=4(ry5 z4Q#!giLY`zHnY|Fx;TSD%mdg(Q5SlXMG8l4bCY^*OD+lCa0GI%ritp>n=FnPs>hl+ zy~d|&2Zp2ZMKT6(^FgO0>1>~}R=iFGFksgb3E!I_Pa?!c&$W9sJ*Z))VbN=?0*)Iv zWQ6HS?Q?)JI4Fq4&yEgJ<$4Ehq&&@NOK1ZYt^?@DP&xKfh>S+i7i9ufq~ko=%aW2!(M*BHJrAy z5E5+!EBQ6Jt$96?&e}|^!zF(R8v!{K8RzHJNyo!6Xf$JOwu>@!Qc38^`EvL7M-OrW zwO6ZzK#;TVWX5TiS6R$N;M~y3KV9sM?PQMUi3BB2>sfe7WzglW?n(T8 zuM$FT0?a3L#C#tb4w+gx&))~m*=(afPHMke)oP)UVT$#)Cntd>FeFi_)wT(6Hndd+ z#m%PEN{0`h-^uq46lzn^7hISnu~Sw!ypdt1&XKO0Wv{A(@76m3TYf#^==d9%B3*uu zgX&fK0ylHUT*ANsvoMEvM`Yf5>t+!H-~(}3NOsV}%}LzQcmh6qGDnO@QMOqOY&sed z(x*ftmJ)#@Vl(7cOz**J$~Dv-%R%qXxA9n7ZimfIJ385UC({>mC(9q;1vFrcVFQT# z9?uqiFOVD*Hk{=7hH-T$CT7_vynV`my>;tG-%w0I-Xv67O>V<*3;qZtNT?F_*1b!v zQDw4&5-L_-1%@;ZLP+ZoJhnyz3b(?|mCn$avF;;=K^{xFZK43~E{vA(o{-Uh3znc7 zY^@J?9X%2x)PN1LM?Gcyb-x18B@2uDb)Z&aBhM?zjHN9hlvR(f|!l3uP zTD?qzQ;u9FjVIJ9*23*zhJis|khi6_{&bTU9&iTIC{U&mosZ|kNs}rI;)Ia9H6&Vd zO?E55iRC=4t|_u^rmz%)$5p9Xthl*@=_kI_-_tK{1>m(V5eNqD8spw~vFuS0`q;tk z=EJEmI2d$+{>_&Yax#q=<4at$O8F1qZ(Wr^v`{qx{+5Fiw>vO0$oycy)kz8U*}~x= zC!5*Y%j zaZ^^+5%`Ph=a&nc9~I9(;EDL{SA~PaD4k%)M5nlY?k^EgZIViaGqKkkzOdrcrrAsA z%{Q105=oK0Aem`Hv}@_j&@Z{r|5{`mxE6!=u8N*(cB0zp=ck}u*+YX5;WVt;d3a|m zMAOnPoj|93c)FEWxZB6f8M+@+?`Cw!Eb&PqY9fUgg3elneW9AY5q-*Nk9O2GkxVMq z`|do%%JbK}1TfS^s_)#BzSB z0$$)z7OER+D^vO>UDlm}wDwa4^aq#O02CW-m;0%RZ;z6q-V?o1A2!nPqu83Fpov-} zy68;kE8aqZ)_WpI3NY6eeyft0u!7nT`#?{m{La5lR!Z!52+HeH=rm(b$C1M#qY32I z1X-ha5;@LMVy3V`Wh;)fRe`qN($leI^iyg8f z?}KW2H(lqqPKu!!fv@OAvZJD-Igqmb$jvI`)Y3j4eGnJxEyB4@NT|X7{(9L z2Ga=tFKMD8#FnhDhvcR~CYK#ym-_pj za^vGv0J*8S%>Pbc$@RI$kwLjWSvm0y8<>|&=djYq74#wWI%H|mM+LSMaRa(CgSHl0 zEC3JzX90@?4J`{`oQTOjxmt_KB5Q+iGYV_-Us*i({1+o^-`-`gTVSLrec}URr+}W< zTi0*NFD(CIxW-Lb_o6ijdbtp@v zlymr?+|mCEN-aing@ouD?R+ei_y&BC>;1u7EK`1$zopu}ZmzRy1PIwbkDqT1bJ;CN zs|!6(i(7U@m4zU_mo1C|T>85JwAVg}{7agOSd>c{t-zHsbF}~}xDVZQ6$Ls|HT9F}DJ%Ka~yZ_2y$aG>E)nBZ;vgl?Z8P zN6K;kKzVgeX)3*7PDxD>i!4lP0~Ui0^LPT8)Bpn7OY=9tzlK!w7jqc~-KMN%xSq0x z@?0G){P9%Oo=L0>{^j6aHc+%P^qxFpBh#gN679SQzZyqB?8OwmLyMy zRY-VovbxIR5h0-Rs-Xw}lAKE}* z5_YQCCe`{Tut7$?8+7^}R>xzS^v5cozah>60TC{oK(#=m_kD?Y^^9C(S937LbCxe- z_Rhp)$SwWar%AB9X(|W(dN@v~ZiA(|w+Sa={dAe8Q-el@&R`E!^lK-~OBfWgm;2Mh zf_Ud}A*<0iY}`k`zw|f!(a#*&$;WB=*=V!iD7;)@p6kPT$7Lz^dRPfUl~TxIl-XBU zAiomS>`4HWcFXSQ5}k4%PND=w%j60^0ny1%Pz=G`k0AIvxMFEJVDYmioA|2~ zN~15rueXZ8!-)Qk8t)KHe`Tfj1?vJYn

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zc;dyey5?0TA3529d29Htva@nD@RN5y(>Xu;yzlIpLxpYJI9?hG<(LFu{OQS&1Y&Oj z%|=GvcmMQYH_PfGdb{cgxr{zb*wUI_(!Q7+arefGBsX+z-JSrv(_SzfuHyWBta?GY zdva3{cVM|7Aplf@nW$Hsa5EUf6?thvEcM^y$lTOlkPkl5E!`#6EQC?YxE}b5)4FKc zLo(7drdwv7TcM&YcQ>qRNK9AdzbpG;Yq9jE?6%?uRWZmu%b9QJgX~dOWIpfM5b@?G z1@Q8@!>)i~t#qhuU(K(du)=brEX2M~RDzC`!Su2;lkUofg1JN%?spOQx(T-)PwNr$ v)^v=R?T-;elt#_72@zf0oh8!;d^#$7Yms%@$bk>X&#-;9V`@% select(year:day, hour, origin, dest, tailnum, carrier) flights2 ``` +(Remember, when you're in RStudio you can use `View()` to avoid this problem). + For example, imagine you want to add the full airline name to the `flights` data. You can combine the `airlines` and `carrier` data frames with `left_join()`: ```{r} @@ -113,16 +119,14 @@ flights2 %>% left_join(airlines, by = "carrier") ``` -The result of joining airlines on to flights is an additional variable: `carrier`. This is why I call this type of join a mutating join. - -In this case, you could have created achieved the same result using `mutate()` and basic subsetting: +The result of joining airlines to flights is an additional variable: `carrier`. This is why I call this type of join a mutating join. In this case, you could have got to the same place using `mutate()` and basic subsetting: ```{r} flights2 %>% mutate(carrier = airlines$name[match(carrier, airlines$carrier)]) ``` -But this is hard to generalise when you need to match multiple variables, and doesn't as clearly communicate the action of joining as using an explicit join function. +But this is hard to generalise when you need to match multiple variables, and takes closer reading to figure out the high-level intent. There are three important things you need to understand about mutating joins work: @@ -132,135 +136,114 @@ There are three important things you need to understand about mutating joins wor 1. How you control which variables (keys) are used to match observations. -To help you built up an intuition for how joins work and how the various options affect behaviour I'm going to use a visual abstraction of a table: +### Understanding joins -```{r, echo = FALSE, out.width = "10%"} -knitr::include_graphics("diagrams/join-setup.png") -``` -```{r} -data_frame(key = 1:5, value = paste0("x", 1:5)) -``` - -The coloured column represents the "key" variable: these are used to match the rows between the tables. The labelled column represents the "value" columns that are carried along for the ride. The same basic idea generalised to any number of key and value columns. - -[Insert basic explanation of joins] - -### Missing matches {#join-types} - -You might also wonder what happens when there isn't a match. This is controlled by the type of "join": inner, left, right, or full I'll show each type of join with a picture, and the corresponding R code. Here are the tables we will use: +To help you build up an intuition for how joins work and how the various options affect behaviour I'm going to use represent tables visually: ```{r, echo = FALSE, out.width = "25%"} -knitr::include_graphics("diagrams/join-setup2.png") +knitr::include_graphics("diagrams/join-setup.png") ``` ```{r} (x <- data_frame(key = c(1, 2, 3), val_x = c("x1", "x2", "x3"))) (y <- data_frame(key = c(1, 2, 4), val_y = c("y1", "y2", "y3"))) ``` -The left, right and full joins are collectively known as __outer joins__. When a row doesn't match in an outer join, the new variables are filled in with missing values. You can also think about joins heuristically as set operations on the rows of the tables: +The coloured column represents the "key" variable: these are used to match the rows between the tables. The grey column represents the "value" columns that are carried along for the ride. In these examples I'll show a single key variable and single value variable, but idea generalises in a straightforward way to multiple keys and multiple values. -```{r, echo = FALSE} -knitr::include_graphics("diagrams/join-venn.png") +A join is a way of connecting each row in `x` to zero, one, or more rows in `y`. The following diagram shows each potential match as an intersection of a pair of lines. + +```{r, echo = FALSE, out.width = "35%"} +knitr::include_graphics("diagrams/join-setup2.png") ``` -#### Inner join +(If you look closely, you might notice that we've switched the order of the keys and values in `x`. This is to emphasise that joins match based on the key variable; value variable is just carried along for the ride.) -In an inner join, only rows that have matching keys are retained: +### Inner join {#inner-join} -```{r, echo = FALSE, out.width = "50%"} +The simplest type of join is the __inner join__. An inner join matches pairs of observations whenever their keys are equal: + +```{r, echo = FALSE, out.width = "70%"} knitr::include_graphics("diagrams/join-inner.png") ``` +(To be precise this is an inner equijoin because the keys are matched on equality. Since most joins are equijoins we usually drop that condition.) + +The output of an inner join is a new data frame that contains the key, the x values, and the y values. We use `by` to tell the join which column is the key variable. + ```{r} x %>% inner_join(y, by = "key") ``` -#### Left join +The most important property of an inner join is that rows that don't have matches don't appear in the output. This generally means that inner joins are not appropriate for use in analysis because it's too easy to lose observations. -In a left join, every row in `x` is kept. A left join effectively works by adding a "default" match: if a row in `x` doesn't match a row in `y`, it falls back to matching a row that contains only missing values. +### Outer joins {#outer-join} -```{r, echo = FALSE, out.width = "50%"} -knitr::include_graphics("diagrams/join-left.png") -``` -```{r} -x %>% left_join(y, by = "key") +An inner join only keeps observations that have a match in both tables. An __outer join__ keeps observations that only appear in one of the tables. There are three types of outer joins: + +* A __left join__ keeps all observations in `x`. +* A __right join__ keeps all observations in `y`. +* A __full join__ keeps all observations in `x` and `y`. + +These joins work by adding an additional "virtual" observation to each table. This observation has a key that always matches (if no other key matches), and has missing values. Graphically, that looks like: + +```{r, echo = FALSE, out.width = "100%"} +knitr::include_graphics("diagrams/join-inner.png") ``` -This is the most commonly used join because it ensures that you don't lose -observations from your primary table. +The most commonly used join is the left join: you use this whenever you lookup additional data out of another table, preserving the original observations even if there isn't match. The left join should be your default join: use it unless you have a strong reason to prefer one of the others. -#### Right join +Another way of thinking about the different types of joins is as a Venn diagram: -A right join is the complement of a left join: every row in `y` is kept. - -```{r, echo = FALSE, out.width = "50%"} -knitr::include_graphics("diagrams/join-right.png") -``` -```{r} -x %>% right_join(y, by = "key") +```{r, echo = FALSE} +knitr::include_graphics("diagrams/join-venn.png") ``` -#### Full join +However, this is not a great representation. It might jog your memory about which join preserves the observations in which table. But it suffers from a major limitation: it can't show what happens when keys are duplicated, the topic of the next sections. -A full join is combines a left join and a right join, keeping every -row in both `x` and `y`. +### Duplicate keys {#join-matches} -```{r, echo = FALSE, out.width = "50%"} -knitr::include_graphics("diagrams/join-full.png") -``` -```{r} -x %>% full_join(y, by = "key") -``` +So far all the diagrams have assumed that the keys are unique. But obviously that's not always the case. This section explains what happens when the keys are not unique. There are three possibilities: -### Matches {#join-matches} +1. There are no duplicate keys: this is what we've assumed so far. -There are three ways that the keys might match: one-to-one, one-to-many, and many-to-many. - -* In a one-to-one match, each key in `x` matches one key in `y`. This sort of - match is useful when you two tables that have data about the same thing and - you want to align the rows. - - ```{r, echo = FALSE, out.width = "100%"} - knitr::include_graphics("diagrams/join-one-to-one.png") - ``` +1. There are duplicate keys in one table. This is useful when you want to + add in additional information as there is typically a one-to-many + relationship. - ```{r} - x <- data_frame(key = 1:5, val_x = paste0("x", 1:5)) - y <- data_frame(key = c(3, 5, 2, 4, 1), val_y = paste0("y", 1:5)) - inner_join(x, y, by = "key") - ``` - -* In a one-to-many match, each key in `y` matches multiple keys in `x`. This - is useful when you want to add in additional information. - - ```{r, echo = FALSE, out.width = "100%"} + ```{r, echo = FALSE, out.width = "75%"} knitr::include_graphics("diagrams/join-one-to-many.png") ``` - + + Note that I've put the key column in a slightly different position + in the output. This reflects that the key is a primary key in `y` + and a foreign key in `x`. + ```{r} - x <- data_frame(key = c(3, 3, 1, 4, 4), val_x = paste0("x", 1:5)) - y <- data_frame(key = 1:4, val_y = paste0("y", 1:4)) - inner_join(x, y, by = "key") + x <- data_frame(key = c(1, 2, 2, 1), val_x = paste0("x", 1:4)) + y <- data_frame(key = 1:2, val_y = paste0("y", 1:2)) + left_join(x, y, by = "key") ``` -* Finally, you can have a many-to-many match, where there are duplicated - keys in `x` and duplicate keys in `y`. When this happens, every possible - combination is created in the output. - - ```{r, echo = FALSE, out.width = "100%"} +1. There are duplicate keys in both tables. This behaviour is almost + always undesirable so dplyr really should do something to warn you + about it. + + ```{r, echo = FALSE, out.width = "75%"} knitr::include_graphics("diagrams/join-many-to-many.png") ``` + + If there are duplicate keys in both tables, you get the Cartesian + product of all matches. + ```{r} - x <- data_frame(key = c(1, 2, 2, 4), val_x = paste0("x", 1:4)) - y <- data_frame(key = c(1, 2, 2, 4), val_y = paste0("y", 1:4)) - inner_join(x, y, by = "key") - ``` + x <- data_frame(key = c(1, 2, 2, 3), val_x = paste0("x", 1:4)) + y <- data_frame(key = c(1, 2, 2, 3), val_y = paste0("y", 1:4)) + left_join(x, y, by = "key") + ``` -### Controlling how the tables are matched {#join-by} +### Defining the key columns {#join-by} -When joining multiple tables of data, it's useful to think about the "key", the combination of variables that uniquely identifies each observation. Sometimes that's a single variable. For example each airport is uniquely identified by a three letter `faa` code, each carrier is uniquely identified by its two letter abbreviation, and each plane by its `tailnum`. `weather` is more complex: to uniquely identify an observation you need to know when (`year`, `month`, `day`, `hour`) and where it happened (`origin`). - -When you combine two tables of data, you do so by matching the keys in each table. You can control the matching behaviour using the `by` argument: +So far, the pairs of tables have always been joined by a single variable, and that variable has the same name in both tables. That constraint was encoded by `by = "key"`. You can use other values for `by` to connect the tables in other ways: * The default, `by = NULL`, uses all variables that appear in both tables, the so called __natural__ join. For example, the flights and weather tables