A quick welcome to the tidyverse

Lockwood Lab Meeting

TS O’Leary

December 13, 2021

Introduction

This is a quick introduction to the tidyverse for lab meeting. And because I am not the authority on these things – here are a bunch of links that you may find more useful than following my ramblings.

What is the tidyverse?

A suite of inter-related packages with a common grammar and syntax.

# Install the tidyverse
install.packages("tidyverse")

# Install 
install.packages("broom")
# Load library
require(tidyverse)
require(broom)

Tidy data

The tidyverse gets its name from the type of data that it is designed to interact with – tidy data. So let’s quickly define tidy data.

  1. Every column is a variable.
  2. Every row is an observation.
  3. Every cell is a single value.

Yikes. That’s abstract…

Messy data

An example of some messy data.

# Make up some random data
mdh_df <- tibble(gill = rnorm(15, mean = 12, sd = 2),
                 adductor = rnorm(15, mean = 18, sd = 2.5),
                 mantle = rnorm(15, mean = 6, sd = 3))

# Print the data
mdh_df
# A tibble: 15 x 3
    gill adductor mantle
   <dbl>    <dbl>  <dbl>
 1 12.3      18.4 10.4  
 2 10.1      23.2  4.37 
 3 11.8      17.8  9.54 
 4 11.5      18.0  5.63 
 5 11.0      18.8  1.55 
 6 13.5      21.0  5.01 
 7 11.6      14.5  6.65 
 8  8.71     18.7  4.95 
 9 14.0      14.1 10.1  
10 14.9      20.4 -0.159
11 12.5      19.6  1.37 
12 11.8      15.6 12.5  
13 12.9      16.6  8.57 
14 12.8      20.4  6.56 
15 11.8      18.8  5.19 

Let’s tidy it

mdh_df <- mdh_df %>%
  pivot_longer(everything(),
               names_to = "tissue",
               values_to = "iu_gfw")

mdh_df
# A tibble: 45 x 2
   tissue   iu_gfw
   <chr>     <dbl>
 1 gill      12.3 
 2 adductor  18.4 
 3 mantle    10.4 
 4 gill      10.1 
 5 adductor  23.2 
 6 mantle     4.37
 7 gill      11.8 
 8 adductor  17.8 
 9 mantle     9.54
10 gill      11.5 
# … with 35 more rows

BAM! That is tidy data. 1. Every column is a variable – tissue and enzyme activity. 2. Every row is an observation – enzyme activity in I.U./g f.w.. 3. Every cell is a single value.

Importing data

Why use readr?

I find it a lot easier to define the data structure as you import data. And it creates a tibble instead of data.frame.

# Create a .csv file to import
write_csv(iris, "iris.csv")
# Try read.csv
d.f <- read.csv("iris.csv")

str(d.f)
'data.frame':   150 obs. of  5 variables:
 $ Sepal.Length: num  5.1 4.9 4.7 4.6 5 5.4 4.6 5 4.4 4.9 ...
 $ Sepal.Width : num  3.5 3 3.2 3.1 3.6 3.9 3.4 3.4 2.9 3.1 ...
 $ Petal.Length: num  1.4 1.4 1.3 1.5 1.4 1.7 1.4 1.5 1.4 1.5 ...
 $ Petal.Width : num  0.2 0.2 0.2 0.2 0.2 0.4 0.3 0.2 0.2 0.1 ...
 $ Species     : chr  "setosa" "setosa" "setosa" "setosa" ...
# Try read_csv
read_csv("iris.csv")
# A tibble: 150 x 5
   Sepal.Length Sepal.Width Petal.Length Petal.Width Species
          <dbl>       <dbl>        <dbl>       <dbl> <chr>  
 1          5.1         3.5          1.4         0.2 setosa 
 2          4.9         3            1.4         0.2 setosa 
 3          4.7         3.2          1.3         0.2 setosa 
 4          4.6         3.1          1.5         0.2 setosa 
 5          5           3.6          1.4         0.2 setosa 
 6          5.4         3.9          1.7         0.4 setosa 
 7          4.6         3.4          1.4         0.3 setosa 
 8          5           3.4          1.5         0.2 setosa 
 9          4.4         2.9          1.4         0.2 setosa 
10          4.9         3.1          1.5         0.1 setosa 
# … with 140 more rows

# Set col_type as you import data -- allows you to define level order too
d_f <- read_csv("iris.csv",
                col_types = list(Species = col_factor(c("versicolor",
                                                        "setosa", 
                                                        "virginica"))))
d_f
# A tibble: 150 x 5
   Sepal.Length Sepal.Width Petal.Length Petal.Width Species
          <dbl>       <dbl>        <dbl>       <dbl> <fct>  
 1          5.1         3.5          1.4         0.2 setosa 
 2          4.9         3            1.4         0.2 setosa 
 3          4.7         3.2          1.3         0.2 setosa 
 4          4.6         3.1          1.5         0.2 setosa 
 5          5           3.6          1.4         0.2 setosa 
 6          5.4         3.9          1.7         0.4 setosa 
 7          4.6         3.4          1.4         0.3 setosa 
 8          5           3.4          1.5         0.2 setosa 
 9          4.4         2.9          1.4         0.2 setosa 
10          4.9         3.1          1.5         0.1 setosa 
# … with 140 more rows
str(d_f)
tibble [150 × 5] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
 $ Sepal.Length: num [1:150] 5.1 4.9 4.7 4.6 5 5.4 4.6 5 4.4 4.9 ...
 $ Sepal.Width : num [1:150] 3.5 3 3.2 3.1 3.6 3.9 3.4 3.4 2.9 3.1 ...
 $ Petal.Length: num [1:150] 1.4 1.4 1.3 1.5 1.4 1.7 1.4 1.5 1.4 1.5 ...
 $ Petal.Width : num [1:150] 0.2 0.2 0.2 0.2 0.2 0.4 0.3 0.2 0.2 0.1 ...
 $ Species     : Factor w/ 3 levels "versicolor","setosa",..: 2 2 2 2 2 2 2 2 2 2 ...
 - attr(*, "spec")=
  .. cols(
  ..   Sepal.Length = col_double(),
  ..   Sepal.Width = col_double(),
  ..   Petal.Length = col_double(),
  ..   Petal.Width = col_double(),
  ..   Species = col_factor(levels = c("versicolor", "setosa", "virginica"), ordered = FALSE, include_na = FALSE)
  .. )
glimpse(d_f)
Rows: 150
Columns: 5
$ Sepal.Length <dbl> 5.1, 4.9, 4.7, 4.6, 5.0, 5.4, 4.6, 5.0, 4.4, 4.9, 5.4, 4…
$ Sepal.Width  <dbl> 3.5, 3.0, 3.2, 3.1, 3.6, 3.9, 3.4, 3.4, 2.9, 3.1, 3.7, 3…
$ Petal.Length <dbl> 1.4, 1.4, 1.3, 1.5, 1.4, 1.7, 1.4, 1.5, 1.4, 1.5, 1.5, 1…
$ Petal.Width  <dbl> 0.2, 0.2, 0.2, 0.2, 0.2, 0.4, 0.3, 0.2, 0.2, 0.1, 0.2, 0…
$ Species      <fct> setosa, setosa, setosa, setosa, setosa, setosa, setosa, …

Wrangling data

Intro to dplyr

dplyr has a few core functions that are built to work on

Taken from the dplyr vignette.

Rows

  • filter() chooses rows based on column values.
  • slice() chooses rows based on location.
  • arrange() changes the order of the rows.

Columns

  • select() changes whether or not a column is included.
  • rename() changes the name of columns.
  • mutate() changes the values of columns and creates new columns.
  • relocate() changes the order of the columns.

Groups of rows

  • summarise() collapses a group into a single row.

Pipe %>%

From magrittr.

  • x %>% f is equivalent to f(x)
  • x %>% f(y) is equivalent to f(x, y)
  • x %>% f %>% g %>% h is equivalent to h(g(f(x)))

The argument placeholder

  • x %>% f(y, .) is equivalent to f(y, x)
  • x %>% f(y, z = .) is equivalent to f(y, z = x)

A fun example from R for data science

foo_foo <- little_bunny()
foo_foo_1 <- hop(foo_foo, through = forest)
foo_foo_2 <- scoop(foo_foo_1, up = field_mice)
foo_foo_3 <- bop(foo_foo_2, on = head)
foo_foo %>%
  hop(through = forest) %>%
  scoop(up = field_mice) %>%
  bop(on = head)

arrange

mdh_df %>%
  arrange(tissue, iu_gfw)
# A tibble: 45 x 2
   tissue   iu_gfw
   <chr>     <dbl>
 1 adductor   14.1
 2 adductor   14.5
 3 adductor   15.6
 4 adductor   16.6
 5 adductor   17.8
 6 adductor   18.0
 7 adductor   18.4
 8 adductor   18.7
 9 adductor   18.8
10 adductor   18.8
# … with 35 more rows
mdh_df %>%
  arrange(desc(tissue), desc(iu_gfw))
# A tibble: 45 x 2
   tissue iu_gfw
   <chr>   <dbl>
 1 mantle  12.5 
 2 mantle  10.4 
 3 mantle  10.1 
 4 mantle   9.54
 5 mantle   8.57
 6 mantle   6.65
 7 mantle   6.56
 8 mantle   5.63
 9 mantle   5.19
10 mantle   5.01
# … with 35 more rows

summarise

mdh_df %>%
  summarise(iu_gfw_avg = mean(iu_gfw))
# A tibble: 1 x 1
  iu_gfw_avg
       <dbl>
1       12.2

group_by

mdh_df %>%
  group_by(tissue) %>%
  summarise(iu_gfw_avg = mean(iu_gfw),
            iu_gfw_sd = sd(iu_gfw))
# A tibble: 3 x 3
  tissue   iu_gfw_avg iu_gfw_sd
  <chr>         <dbl>     <dbl>
1 adductor      18.4       2.48
2 gill          12.1       1.52
3 mantle         6.15      3.61

Warning that you must be careful about the order when reusing variable names.

# Bad order
mdh_df %>%
  group_by(tissue) %>%
  summarise(iu_gfw = mean(iu_gfw),
            sd = sd(iu_gfw))
# A tibble: 3 x 3
  tissue   iu_gfw    sd
  <chr>     <dbl> <dbl>
1 adductor  18.4     NA
2 gill      12.1     NA
3 mantle     6.15    NA
# This order works because it collapses the data into a mean last
mdh_df %>%
  group_by(tissue) %>%
  summarise(sd = sd(iu_gfw),
            iu_gfw = mean(iu_gfw))
# A tibble: 3 x 3
  tissue      sd iu_gfw
  <chr>    <dbl>  <dbl>
1 adductor  2.48  18.4 
2 gill      1.52  12.1 
3 mantle    3.61   6.15

Print out a pretty table using kableExtra.

mdh_df %>%
  group_by(tissue) %>%
  summarise(iu_gfw_avg = mean(iu_gfw),
            iu_gfw_sd = sd(iu_gfw)) %>%
  mutate(`I.U. / g f.w.` = paste(round(iu_gfw_avg, 2), 
                                 "±", 
                                 round(iu_gfw_sd, 2))) %>%
  select(tissue, `I.U. / g f.w.`) %>%
  rename("Tissue" = "tissue",
         `MDH Activity (I.U. / g f.w.)` = `I.U. / g f.w.`) %>%
  mutate(Tissue = str_to_sentence(Tissue)) %>%
  kableExtra::kable()
Tissue MDH Activity (I.U. / g f.w.)
Adductor 18.39 ± 2.48
Gill 12.09 ± 1.52
Mantle 6.15 ± 3.61

nest

ChickWeight %>%
  glimpse()
Rows: 578
Columns: 4
$ weight <dbl> 42, 51, 59, 64, 76, 93, 106, 125, 149, 171, 199, 205, 40, 49, …
$ Time   <dbl> 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 21, 0, 2, 4, 6, 8, 10, …
$ Chick  <ord> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2,…
$ Diet   <fct> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,…
ChickWeight %>%
  group_by(Chick, Diet) %>%
  nest() 
# A tibble: 50 x 3
# Groups:   Chick, Diet [50]
   Chick Diet  data             
   <ord> <fct> <list>           
 1 1     1     <tibble [12 × 2]>
 2 2     1     <tibble [12 × 2]>
 3 3     1     <tibble [12 × 2]>
 4 4     1     <tibble [12 × 2]>
 5 5     1     <tibble [12 × 2]>
 6 6     1     <tibble [12 × 2]>
 7 7     1     <tibble [12 × 2]>
 8 8     1     <tibble [11 × 2]>
 9 9     1     <tibble [12 × 2]>
10 10    1     <tibble [12 × 2]>
# … with 40 more rows
ChickWeight_nest <- ChickWeight %>%
  group_by(Chick, Diet) %>%
  nest() 

ChickWeight_nest$data[1:2]
[[1]]
# A tibble: 12 x 2
   weight  Time
    <dbl> <dbl>
 1     42     0
 2     51     2
 3     59     4
 4     64     6
 5     76     8
 6     93    10
 7    106    12
 8    125    14
 9    149    16
10    171    18
11    199    20
12    205    21

[[2]]
# A tibble: 12 x 2
   weight  Time
    <dbl> <dbl>
 1     40     0
 2     49     2
 3     58     4
 4     72     6
 5     84     8
 6    103    10
 7    122    12
 8    138    14
 9    162    16
10    187    18
11    209    20
12    215    21

broom

CHeck out the broom vignette.

[And the broom and dplyr vignette] (https://cran.r-project.org/web/packages/broom/vignettes/broom_and_dplyr.html).

tidy: constructs a tibble that summarizes the model’s statistical findings. This includes coefficients and p-values for each term in a regression, per-cluster information in clustering applications, or per-test information for multtest functions.

glance: construct a concise one-row summary of the model. This typically contains values such as R^2, adjusted R^2, and residual standard error that are computed once for the entire model.

ChickWeight %>%
  group_by(Chick, Diet) %>%
  nest() %>%
  mutate(
    fit = map(data, ~ lm(weight ~ Time, data = .x)),
    tidied = map(fit, tidy),
    glanced = map(fit, glance)
  ) %>% 
  unnest(tidied) 
# A tibble: 100 x 10
# Groups:   Chick, Diet [50]
   Chick Diet  data   fit    term  estimate std.error statistic  p.value glanced
   <ord> <fct> <list> <list> <chr>    <dbl>     <dbl>     <dbl>    <dbl> <list> 
 1 1     1     <tibb… <lm>   (Int…    24.5      6.73       3.64 4.56e- 3 <tibbl…
 2 1     1     <tibb… <lm>   Time      7.99     0.524     15.3  2.97e- 8 <tibbl…
 3 2     1     <tibb… <lm>   (Int…    24.7      4.93       5.01 5.26e- 4 <tibbl…
 4 2     1     <tibb… <lm>   Time      8.72     0.384     22.7  6.15e-10 <tibbl…
 5 3     1     <tibb… <lm>   (Int…    23.2      5.08       4.56 1.04e- 3 <tibbl…
 6 3     1     <tibb… <lm>   Time      8.49     0.396     21.5  1.08e- 9 <tibbl…
 7 4     1     <tibb… <lm>   (Int…    32.9      4.01       8.21 9.42e- 6 <tibbl…
 8 4     1     <tibb… <lm>   Time      6.09     0.312     19.5  2.70e- 9 <tibbl…
 9 5     1     <tibb… <lm>   (Int…    16.9      7.56       2.24 4.93e- 2 <tibbl…
10 5     1     <tibb… <lm>   Time     10.1      0.588     17.1  9.88e- 9 <tibbl…
# … with 90 more rows
ChickWeight %>%
  ggplot() +
  geom_line(aes(x = Time, 
                 y = weight, 
                 color = Chick)) +
  facet_wrap(~ Diet)

Integrative example

# Import data -----

# ADH activity
adh_df <- read_csv("https://raw.githubusercontent.com/tsoleary/projects/master/ADH/data/biovision/adh_abs_11022020.csv")

# NADH std curve
nadh_df <- read_csv("https://raw.githubusercontent.com/tsoleary/projects/master/ADH/data/biovision/NADH_std_11022020.csv")

NADH Std Curve

nadh_df
# A tibble: 12 x 7
    NADH  temp `0_min` `30_min` `60_min` `90_min` `120_min`
   <dbl> <dbl>   <dbl>    <dbl>    <dbl>    <dbl>     <dbl>
 1     0    28  0.0481   0.0483   0.048    0.0482    0.048 
 2     2    28  0.167    0.168    0.168    0.168     0.167 
 3     4    28  0.299    0.305    0.303    0.302     0.301 
 4     6    28  0.441    0.447    0.446    0.445     0.444 
 5     8    28  0.569    0.581    0.578    0.577     0.575 
 6    10    28  0.688    0.711    0.706    0.705     0.703 
 7     0    28  0.0485   0.0483   0.0483   0.0484    0.0483
 8     2    28  0.170    0.172    0.172    0.172     0.171 
 9     4    28  0.303    0.305    0.305    0.304     0.303 
10     6    28  0.432    0.434    0.442    0.440     0.439 
11     8    28  0.575    0.582    0.580    0.582     0.579 
12    10    28  0.708    0.723    0.721    0.719     0.717 

nadh_df <- nadh_df %>%
  pivot_longer(cols = contains("min"), 
               names_to = "mins", 
               values_to = "abs") %>%
  mutate(mins = as.numeric(str_remove_all(mins, "_min"))) 

nadh_df
# A tibble: 60 x 4
    NADH  temp  mins    abs
   <dbl> <dbl> <dbl>  <dbl>
 1     0    28     0 0.0481
 2     0    28    30 0.0483
 3     0    28    60 0.048 
 4     0    28    90 0.0482
 5     0    28   120 0.048 
 6     2    28     0 0.167 
 7     2    28    30 0.168 
 8     2    28    60 0.168 
 9     2    28    90 0.168 
10     2    28   120 0.167 
# … with 50 more rows

Standard curve linear regression

# Run linear model
std_lm <- lm(abs ~ NADH, nadh_df)

summary(std_lm)

Call:
lm(formula = abs ~ NADH, data = nadh_df)

Residuals:
       Min         1Q     Median         3Q        Max 
-0.0203362 -0.0049828 -0.0005845  0.0065411  0.0143638 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 0.0412305  0.0015183   27.16   <2e-16 ***
NADH        0.0667506  0.0002507  266.22   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 0.006634 on 58 degrees of freedom
Multiple R-squared:  0.9992,    Adjusted R-squared:  0.9992 
F-statistic: 7.087e+04 on 1 and 58 DF,  p-value: < 2.2e-16
# Save intercept & slope values
int <- as.numeric(std_lm$coefficients[1])
slope <- as.numeric(std_lm$coefficients[2])

# Save values in a named vector
std_curve_lm <- c(int = int, 
                  slope = slope)

std_curve_lm 
       int      slope 
0.04123048 0.06675057 

Absorbance data

# ADH activity absorbance data
adh_df
# A tibble: 32 x 10
     EtOH  temp sample_vol n_flies genotype `0_min` `30_min` `60_min` `90_min`
    <dbl> <dbl>      <dbl>   <dbl> <chr>      <dbl>    <dbl>    <dbl>    <dbl>
 1 0.        28         25       1 adh-f     0.0555   0.109     0.180    0.282
 2 6.25e0    28         25       1 adh-f     0.0603   0.143     0.246    0.369
 3 1.25e1    28         25       1 adh-f     0.0659   0.195     0.347    0.517
 4 2.50e1    28         25       1 adh-f     0.0699   0.211     0.360    0.526
 5 5.00e1    28         25       1 adh-f     0.0732   0.242     0.415    0.595
 6 1.00e2    28         25       1 adh-f     0.0798   0.307     0.536    0.773
 7 2.00e2    28         25       1 adh-f     0.084    0.354     0.630    0.915
 8 1.00e3    28         25       1 adh-f     0.0868   0.375     0.666    0.970
 9 0.        28         25       1 adh-f     0.0528   0.0716    0.097    0.139
10 6.25e0    28         25       1 adh-f     0.0581   0.114     0.172    0.236
# … with 22 more rows, and 1 more variable: `120_min` <dbl>

Tidy the data

adh_df <- adh_df %>%
  pivot_longer(cols = contains("min"), 
               names_to = "mins", 
               values_to = "abs") %>%
  mutate(mins = as.numeric(str_remove_all(mins, "_min")))

adh_df
# A tibble: 160 x 7
    EtOH  temp sample_vol n_flies genotype  mins    abs
   <dbl> <dbl>      <dbl>   <dbl> <chr>    <dbl>  <dbl>
 1  0       28         25       1 adh-f        0 0.0555
 2  0       28         25       1 adh-f       30 0.109 
 3  0       28         25       1 adh-f       60 0.180 
 4  0       28         25       1 adh-f       90 0.282 
 5  0       28         25       1 adh-f      120 0.391 
 6  6.25    28         25       1 adh-f        0 0.0603
 7  6.25    28         25       1 adh-f       30 0.143 
 8  6.25    28         25       1 adh-f       60 0.246 
 9  6.25    28         25       1 adh-f       90 0.369 
10  6.25    28         25       1 adh-f      120 0.504 
# … with 150 more rows

# Add temp data with some noise
x <- adh_df %>%
  mutate(temp = 23,
         abs = abs*rnorm(160, mean = 0.9, sd = 0.02))

adh_df <- bind_rows(adh_df, x)

Plot the standard curve

ggplot(data = nadh_df, 
       aes(x = NADH, 
           y = abs)) +
  geom_smooth(method = 'lm', 
              formula = y ~ x, 
              se = FALSE) +
  geom_point() +
  ggpmisc::stat_poly_eq(formula = y ~ x, 
                        aes(label = paste(..eq.label.., ..rr.label.., 
                                          sep = "*\"; \"*")),
                        parse = TRUE, 
                        rr.digits = 5,
                        label.x = 0.85, 
                        label.y = "top") +
  theme_classic() +
  labs(y = "Absorbance @ 450 nm", 
       x = "NADH (nmol)")

Calculate enzyme activity

adh_df <- adh_df %>%
  group_by(temp, EtOH) %>%
  mutate(nmol_NADH = (abs - std_curve_lm["int"]) / std_curve_lm["slope"],
         deltaAbs = abs - abs[mins == 0],
         deltaNADH = nmol_NADH - nmol_NADH[mins == 0],
         deltaTime = mins - 0) %>%
  filter(deltaTime != 0) %>%
  mutate(dilution_factor = 150/sample_vol,
         mU_mL = (deltaNADH/(deltaTime*(sample_vol/1000)))*dilution_factor) %>%
  ungroup(EtOH) %>%
  mutate(mU_mL = mU_mL - mU_mL[EtOH == 0])

Calculating Km

adh_df %>%
  filter(mins <= 60) %>%
  group_by(temp, EtOH) %>%
  nest() %>%
  mutate(
    fit = map(data, ~ lm(abs ~ mins, data = .x)),
    tidied = map(fit, tidy),
    glanced = map(fit, glance)) 
# A tibble: 16 x 6
# Groups:   EtOH, temp [16]
      EtOH  temp data              fit    tidied           glanced          
     <dbl> <dbl> <list>            <list> <list>           <list>           
 1    0       28 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
 2    6.25    28 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
 3   12.5     28 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
 4   25       28 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
 5   50       28 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
 6  100       28 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
 7  200       28 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
 8 1000       28 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
 9    0       23 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
10    6.25    23 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
11   12.5     23 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
12   25       23 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
13   50       23 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
14  100       23 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
15  200       23 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
16 1000       23 <tibble [8 × 11]> <lm>   <tibble [2 × 5]> <tibble [1 × 12]>
adh_velo <- adh_df %>%
  filter(mins <= 60) %>%
  group_by(temp, EtOH) %>%
  nest() %>%
  mutate(
    fit = map(data, ~ lm(abs ~ mins, data = .x)),
    tidied = map(fit, tidy),
    glanced = map(fit, glance)
  ) %>% 
  unnest(tidied) %>%
  filter(term == "mins") %>%
  select(temp, EtOH, estimate) %>%
  rename(velocity = estimate) %>%
  filter(EtOH != 0) %>%
  arrange(temp, EtOH)
adh_mm <- adh_velo %>%
  ungroup(EtOH) %>%
  filter(EtOH != 0) %>%
  group_by(temp) %>%
  nest() %>%
  mutate(
    fit = map(data, ~ nls(formula = 
                            velocity ~ SSmicmen(EtOH, Vmax, Km), data = .), 
              data = .x),
    tidied = map(fit, tidy)
  ) %>%
  unnest(tidied)

adh_mm
# A tibble: 4 x 8
# Groups:   temp [2]
   temp data             fit    term  estimate std.error statistic    p.value
  <dbl> <list>           <list> <chr>    <dbl>     <dbl>     <dbl>      <dbl>
1    23 <tibble [7 × 2]> <nls>  Vmax   0.00519  0.000364     14.3  0.0000306 
2    23 <tibble [7 × 2]> <nls>  Km    30.2      7.74          3.91 0.0113    
3    28 <tibble [7 × 2]> <nls>  Vmax   0.00583  0.000291     20.1  0.00000569
4    28 <tibble [7 × 2]> <nls>  Km    29.5      5.39          5.47 0.00278   

Plot

adh_velo %>%
  mutate(temp = as.factor(temp)) %>%
  group_by(temp) %>%
  ggplot(aes(x = EtOH,
             y = velocity)) +
  geom_smooth(method = "nls", 
              aes(group = temp),
              formula = y ~ SSmicmen(x, Vmax, Km),
              color = "grey50",
              data = adh_velo,
              se = FALSE,
              show.legend = FALSE) +
  geom_point(aes(color = temp)) +
  theme_classic()

Plotting data

ggplot2

Check out the ggplot2 book.

ggplot2 creates things in a specific order of layers.

glimpse(starwars)
Rows: 87
Columns: 14
$ name       <chr> "Luke Skywalker", "C-3PO", "R2-D2", "Darth Vader", "Leia O…
$ height     <int> 172, 167, 96, 202, 150, 178, 165, 97, 183, 182, 188, 180, …
$ mass       <dbl> 77.0, 75.0, 32.0, 136.0, 49.0, 120.0, 75.0, 32.0, 84.0, 77…
$ hair_color <chr> "blond", NA, NA, "none", "brown", "brown, grey", "brown", …
$ skin_color <chr> "fair", "gold", "white, blue", "white", "light", "light", …
$ eye_color  <chr> "blue", "yellow", "red", "yellow", "brown", "blue", "blue"…
$ birth_year <dbl> 19.0, 112.0, 33.0, 41.9, 19.0, 52.0, 47.0, NA, 24.0, 57.0,…
$ sex        <chr> "male", "none", "none", "male", "female", "male", "female"…
$ gender     <chr> "masculine", "masculine", "masculine", "masculine", "femin…
$ homeworld  <chr> "Tatooine", "Tatooine", "Naboo", "Tatooine", "Alderaan", "…
$ species    <chr> "Human", "Droid", "Droid", "Human", "Human", "Human", "Hum…
$ films      <list> [<"The Empire Strikes Back", "Revenge of the Sith", "Retu…
$ vehicles   <list> [<"Snowspeeder", "Imperial Speeder Bike">, <>, <>, <>, "I…
$ starships  <list> [<"X-wing", "Imperial shuttle">, <>, <>, "TIE Advanced x1…
starwars %>%
  ggplot(aes(x = sex, y = height)) +
  geom_point() +
  geom_boxplot() +
  theme_classic()

starwars %>%
  ggplot(aes(x = sex, y = height)) +
  geom_boxplot() +
  geom_point() +
  theme_classic()

starwars %>%
  ggplot(aes(x = sex, y = height)) +
  geom_boxplot() +
  geom_jitter(width = 0.2) +
  theme_classic()

starwars %>%
  ggplot(aes(x = sex, y = height)) +
  geom_hline(aes(yintercept = 188), 
             linetype = 2, 
             color = "grey20") +
  geom_boxplot(outlier.shape = NA) +
  geom_jitter(width = 0.1, 
              size = 2,
              alpha = 0.8,
              shape = 21, 
              color = "grey20", 
              fill = "grey50") +
  scale_y_continuous(breaks = c(100, 150, 188, 200, 250),
                     labels = c("100", "150", "Thomas", "200", "250"),
                     name = "Height") +
  theme_classic()

starwars %>%
  filter(sex %in% c("male", "female")) %>%
  ggplot(aes(x = sex, y = height)) +
  geom_violin(fill = "azure2",
              color = "grey20") +
  geom_boxplot(fill = "azure2",
               width = 0.2,
               color = "grey20") +
  theme_classic()

starwars %>%
  filter(birth_year < 200) %>%
  ggplot() +
  geom_histogram(aes(x = birth_year), 
                 binwidth = 10)

starwars %>%
  filter(birth_year < 200) %>%
  ggplot() +
  geom_histogram(aes(x = birth_year),
                 color = "grey20",
                 fill = "grey50",
                 binwidth = 10) +
  theme_classic()

starwars %>%
  filter(birth_year < 200) %>%
  ggplot() +
  geom_histogram(aes(x = birth_year),
                 color = "grey20",
                 fill = "grey50",
                 binwidth = 10) +
  geom_density(aes(x = birth_year, 
                   y =  10 * ..count..),
               color = "grey20") +
  ylab("count") +
  theme_classic()

starwars %>%
  filter(mass < 1000) %>%
  mutate(species_h = ifelse(species == "Human",  "Human", "Other")) %>%
  ggplot() +
  geom_point(aes(x = height, 
                 y = mass, 
                 fill = species_h),
             size = 5,
             alpha = 0.8,
             color = "grey50",
             shape = 21) +
  theme_classic()

starwars %>%
  filter(mass < 1000) %>%
  mutate(species_h = ifelse(species == "Human",  "Human", "Other")) %>%
  arrange(desc(species_h)) %>%
  ggplot() +
  geom_point(aes(x = height, 
                 y = mass, 
                 fill = species_h),
             size = 5,
             alpha = 0.8,
             color = "grey50",
             shape = 21) +
  theme_classic()

starwars_h <- starwars %>%
  filter(mass < 1000) %>%
  mutate(species_h = ifelse(species == "Human",  "Human", "Other")) %>%
  arrange(desc(species_h))


p <- ggplot() +
  geom_point(data = starwars_h %>%
               filter(species_h != "Human"),
             aes(x = height, 
                 y = mass, 
                 fill = species_h),
             size = 1,
             alpha = 0.8,
             color = "grey50",
             shape = 21) +
    geom_point(data = starwars_h %>%
               filter(species_h == "Human"),
               aes(x = height, 
                 y = mass, 
                 fill = species_h),
             size = 3,
             alpha = 0.8,
             color = "grey50",
             shape = 21) +
  scale_fill_manual(values = c("#d66666", "#222222")) +
  theme_classic()

p

plotly::ggplotly(p, text = "text")

friends <- c("Luke Skywalker", 
             "Leia Organa",
             "Han Solo",
             "Chewbacca",
             "C-3PO",
             "R2-D2",
             "Obi-Wan Kenobi")

ggplot() +
  geom_point(data = starwars_h, 
             aes(x = height, 
                 y = mass,
                 fill = species_h),
             size = 5,
             alpha = 0.8,
             color = "grey50",
             shape = 21) +
  ggrepel::geom_label_repel(data = starwars_h %>%
                              filter(name %in% friends),
                            aes(x = height, 
                                y = mass,
                                label = name),
                            min.segment.length = 0.01) +
  theme_classic()

These are some examples of plots that I have made in R.

ADH data

World Record Progression

Creating functions

Functions are extremely useful when you are doing repetive tasks. And greating

Using snippets can help

For example when I type mfun_snip and hit tab, the following code prints out on my script.

# ------------------------------------------------------------------------------
# Function: function_name
# Description: description
# Inputs: input_description
# Outputs: output_description

function_name <- function(args) {
  # Function body
  print("Hello world!")
} 
# End function -----------------------------------------------------------------

Which is made with the following code inserted into the snippets file. This webpage walks through the process of adding snippets.

snippet mfun_snip
    # ------------------------------------------------------------------------------
    # Function: ${1:function_name}
    # Description: ${2:description}
    # Inputs: ${3:input_description}
    # Outputs: ${4:output_description}
    
    ${1:function_name} <- function(args) {
        # Function body
        print("Hello world!")
    } 
    # End function -----------------------------------------------------------------

Examples of functions

# ------------------------------------------------------------------------------
# Function: read_tidy_spec_csv
# Description: uses read_csv and tidys the data
# Inputs: .csv file 
# Outputs: data.frame

require(tidyverse)

read_tidy_spec_csv <- function(file) {
  
  read_csv(file) %>%
    pivot_longer(-c("cycle", "time", "temp"), 
                 names_to = "conc_well", 
                 values_to = "abs") %>%
    mutate(conc = as.numeric(str_replace_all(conc_well, "_.", ""))) %>%
    mutate(file = str_remove(file, ".csv")) %>%
    separate(file, into = c("enzyme", "temp_group", "date"), sep = "_")
  
} 
# End function -----------------------------------------------------------------
# ------------------------------------------------------------------------------
# Function: calc_Km_Vm
# Description: Calculate Vmax and Km for Michaelis–Menten curve
# Inputs: tibble with velocity estimates for each conc and temp_group
# Outputs: tibble with estimates for Vmax and Km

require(tidyverse)
require(broom)

calc_Km_Vm <- function(data) {
  data %>%
    filter(conc != 0 & velocity > 0) %>%
    group_by(enzyme, temp_group) %>%
    nest() %>%
    mutate(
      fit = map(data, ~ nls(formula = 
                              velocity ~ SSmicmen(conc, Vmax, Km), data = .), 
                data = .x),
      tidied = map(fit, tidy)
    ) %>%
    unnest(tidied) %>%
    mutate(r.squared = map(fit, Rsq)) %>%
    unnest(r.squared)
} 
# End function -----------------------------------------------------------------
# ------------------------------------------------------------------------------
# Function: v_test
# Description: calculate v from Hunter B. Fraser PNAS 2020 paper
# Inputs: 
#   var_par - variance of parents
#   var_p1 - variance of parent 1
#   var_p2 - variance of parent 2
#   n_p1 - number of parent 1 individuals
#   n_p2 - number of parent 2 individuals
#   var_f2 - variance of f2 hybrids
#   H2 - broad sense heritibility
#   c
# Outputs: v-test value

v_test <- function(var_par, var_p1, var_p2, n_p1, n_p2, var_f2, H2, c) {
  # Calculate the value of v
  (var_par - var_p1/(4 * n_p1) - var_p2/(4 * n_p2)) / (var_f2 * H2 * c)
} 
# End function -----------------------------------------------------------------

  1. My favorite part of the tidyverse is the final principle, which is: 4. Design for humans. “Programs must be written for people to read, and only incidentally for machines to execute.” — Hal Abelson

  2. Honestly I think that joke underestimates how important good coding style is. You can actually read “butitsuremakesthingseasiertoread” pretty easily because you are an expert reader – you’ve been at it everyday for decades – coding, probably not so much. I don’t think can overstate how important I think it is to write visually pleasing code.

  3. Warning: I have downloaded these cheat sheets and saved them for my quick access, but they may not be the most current version of the cheat sheet.

  4. Ever had a column that is actually a integer import into R as a character? readr can easily define column types as you import, among other things.

---
title: "A quick welcome to the **tidyverse**"
subtitle: "Lockwood Lab Meeting"
date: "December 13, 2021"
author: "TS O'Leary"
output:
  rmdformats::downcute:
    self_contained: true
    thumbnails: false
    lightbox: true
    code_download: true
    downcute_theme: "chaos"
---

```{r setup, include=FALSE}
knitr::opts_chunk$set(echo = TRUE, 
                      comment = NA, 
                      message = FALSE,
                      warning = FALSE,
                      strip.white = FALSE)
```

# **Introduction**

This is a quick introduction to the `tidyverse` for lab meeting. And because I am not the authority on these things -- here are a bunch of links that you may find more useful than following my ramblings.

## Links 

### Books & webpages

 - [tidyverse website](https://www.tidyverse.org/) -- poke around this website and you can stumble on some good stuff
 - [R for data science](https://r4ds.had.co.nz/index.html) -- a wonderfully thorough and useful book that emphasizes the tidyverse
 - [R for Graduate Students](https://bookdown.org/yih_huynh/Guide-to-R-Book/) -- very accessible introduction to R & the tidyverse
 - [The tidy tools manifesto](https://mran.microsoft.com/web/packages/tidyverse/vignettes/manifesto.html) -- who doesn't love a good manifesto? ^[My favorite part of the tidyverse is the final principle, which is: 4. Design for humans. "Programs must be written for people to read, and only incidentally for machines to execute." — Hal Abelson]
 - [The tidyverse style guide](https://style.tidyverse.org/index.html) -- "Good coding style is like correct punctuation: you can manage without it, butitsuremakesthingseasiertoread." ^[Honestly I think that joke underestimates how important good coding style is. You can actually read "butitsuremakesthingseasiertoread" pretty easily because you are an expert reader -- you've been at it everyday for decades -- coding, probably not so much. I don't think can overstate how important I think it is to write visually pleasing code.]


### Cheat sheets ^[Warning: I have downloaded these cheat sheets and saved them for my quick access, but they may not be the most current version of the cheat sheet.]


#### Core tidyverse

- [`readr`](https://tsoleary.github.io/comp_bio/CheatSheets/readr.pdf) -- **import your data**. Need to import data? Cool kids = `read_csv()`. ^[Ever had a column that is actually a integer import into R as a character? `readr` can easily define column types as you import, among other things.]
- [`tidyr`](https://tsoleary.github.io/comp_bio/CheatSheets/tidyr.pdf) -- **tidy your data**. Helps you tidy your data quick. What does tidy data mean? Keep reading...
- `tibble` -- **a new data.frame** -- doesn't have a cheat sheet, just works in the shadows.
- [`dplyr`](https://tsoleary.github.io/comp_bio/CheatSheets/dplyr.pdf) -- **wrangle your data**. Need to get a mean? Find a standard deviation? Look no further.
- [`ggplot2`](https://tsoleary.github.io/comp_bio/CheatSheets/ggplot2.pdf) -- **plot your data** -- you already know ggplot.
- [`stringr`](https://tsoleary.github.io/comp_bio/CheatSheets/stringr.pdf) -- **maipulate strings**. Have a bunch of strings for some reason? Use `stringr`. 
- [`purrr`](https://tsoleary.github.io/comp_bio/CheatSheets/purrr.pdf) -- **functional programming**. Wanna conserve energy like a cat? Replace `for()` with `map()`.
- [`forcats`](https://tsoleary.github.io/comp_bio/CheatSheets/forcats.pdf) -- **manipulate factors**-- Using a bunch of factors? Reorder them with `forcats`.

#### Other useful tidyverse packages 

- `broom` -- **clean model output** -- technically a subpackage of `tidymodels` a cousin of the tidyverse
- `rvest` -- **web scraping** -- mining data from a website
- `modelr` -- **modelling** -- support for modelling data in the tidyverse

## What is the `tidyverse`?

A suite of inter-related packages with a common grammar and syntax. 

```{r, eval = FALSE}
# Install the tidyverse
install.packages("tidyverse")

# Install 
install.packages("broom")
```

```{r}
# Load library
require(tidyverse)
require(broom)
```

# **Tidy data**

The tidyverse gets its name from the type of data that it is designed to interact with -- **tidy data**. So let's quickly define [tidy data](https://cran.r-project.org/web/packages/tidyr/vignettes/tidy-data.html).

1. Every column is a variable.
2. Every row is an observation.
3. Every cell is a single value.

Yikes. That's abstract...

## Messy data

An example of some messy data.

```{r}
# Make up some random data
mdh_df <- tibble(gill = rnorm(15, mean = 12, sd = 2),
                 adductor = rnorm(15, mean = 18, sd = 2.5),
                 mantle = rnorm(15, mean = 6, sd = 3))

# Print the data
mdh_df
```

## Let's tidy it
```{r}
mdh_df <- mdh_df %>%
  pivot_longer(everything(),
               names_to = "tissue",
               values_to = "iu_gfw")

mdh_df
```

**BAM**! That is tidy data. 1. Every column is a variable -- tissue and enzyme activity. 2. Every row is an observation -- enzyme activity in I.U./g f.w.. 3. Every cell is a single value.

# **Importing data**

## Why use `readr`?

I find it a lot easier to define the data structure as you import data. And it creates a `tibble` instead of `data.frame`. 

```{r}
# Create a .csv file to import
write_csv(iris, "iris.csv")
```

```{r}
# Try read.csv
d.f <- read.csv("iris.csv")

str(d.f)
```


```{r}
# Try read_csv
read_csv("iris.csv")

# Set col_type as you import data -- allows you to define level order too
d_f <- read_csv("iris.csv",
                col_types = list(Species = col_factor(c("versicolor",
                                                        "setosa", 
                                                        "virginica"))))
d_f
str(d_f)
glimpse(d_f)
```


# **Wrangling data**

## Intro to `dplyr`

`dplyr` has a few core functions that are built to work on 

Taken from the [`dplyr` vignette](https://cran.r-project.org/web/packages/dplyr/vignettes/dplyr.html).


### Rows

- `filter()` chooses rows based on column values.
- `slice()` chooses rows based on location.
- `arrange()` changes the order of the rows.

### Columns

- `select()` changes whether or not a column is included.
- `rename()` changes the name of columns.
- `mutate()` changes the values of columns and creates new columns.
- `relocate()` changes the order of the columns.

### Groups of rows

- `summarise()` collapses a group into a single row.

## Pipe `%>%`

From [`magrittr`](https://magrittr.tidyverse.org/index.html).

- `x %>% f` is equivalent to `f(x)`
- `x %>% f(y)` is equivalent to `f(x, y)`
- `x %>% f %>% g %>% h` is equivalent to `h(g(f(x)))`

The argument placeholder

- `x %>% f(y, .)` is equivalent to `f(y, x)`
- `x %>% f(y, z = .)` is equivalent to `f(y, z = x)`

### A fun example from [R for data science](https://r4ds.had.co.nz/pipes.html)

```{r, eval = FALSE}
foo_foo <- little_bunny()
foo_foo_1 <- hop(foo_foo, through = forest)
foo_foo_2 <- scoop(foo_foo_1, up = field_mice)
foo_foo_3 <- bop(foo_foo_2, on = head)
```

```{r, eval = FALSE}
foo_foo %>%
  hop(through = forest) %>%
  scoop(up = field_mice) %>%
  bop(on = head)
```


## `arrange`

```{r}
mdh_df %>%
  arrange(tissue, iu_gfw)
```

```{r}
mdh_df %>%
  arrange(desc(tissue), desc(iu_gfw))
```

## `summarise`

```{r}
mdh_df %>%
  summarise(iu_gfw_avg = mean(iu_gfw))
```

## `group_by`

```{r}
mdh_df %>%
  group_by(tissue) %>%
  summarise(iu_gfw_avg = mean(iu_gfw),
            iu_gfw_sd = sd(iu_gfw))
```

Warning that you must be careful about the order when reusing variable names.

```{r}
# Bad order
mdh_df %>%
  group_by(tissue) %>%
  summarise(iu_gfw = mean(iu_gfw),
            sd = sd(iu_gfw))
```


```{r}
# This order works because it collapses the data into a mean last
mdh_df %>%
  group_by(tissue) %>%
  summarise(sd = sd(iu_gfw),
            iu_gfw = mean(iu_gfw))
```

Print out a pretty table using `kableExtra`.

```{r}
mdh_df %>%
  group_by(tissue) %>%
  summarise(iu_gfw_avg = mean(iu_gfw),
            iu_gfw_sd = sd(iu_gfw)) %>%
  mutate(`I.U. / g f.w.` = paste(round(iu_gfw_avg, 2), 
                                 "±", 
                                 round(iu_gfw_sd, 2))) %>%
  select(tissue, `I.U. / g f.w.`) %>%
  rename("Tissue" = "tissue",
         `MDH Activity (I.U. / g f.w.)` = `I.U. / g f.w.`) %>%
  mutate(Tissue = str_to_sentence(Tissue)) %>%
  kableExtra::kable()
```

## `nest`

```{r}
ChickWeight %>%
  glimpse()
```

```{r}
ChickWeight %>%
  group_by(Chick, Diet) %>%
  nest() 
```

```{r}
ChickWeight_nest <- ChickWeight %>%
  group_by(Chick, Diet) %>%
  nest() 

ChickWeight_nest$data[1:2]
```

## `broom`

CHeck out the [`broom` vignette](https://cran.r-project.org/web/packages/broom/vignettes/broom.html).

[And the `broom` and `dplyr` vignette] (https://cran.r-project.org/web/packages/broom/vignettes/broom_and_dplyr.html).

`tidy`: constructs a tibble that summarizes the model’s statistical findings. This includes coefficients and p-values for each term in a regression, per-cluster information in clustering applications, or per-test information for multtest functions.

`glance`: construct a concise one-row summary of the model. This typically contains values such as R^2, adjusted R^2, and residual standard error that are computed once for the entire model.


```{r}
ChickWeight %>%
  group_by(Chick, Diet) %>%
  nest() %>%
  mutate(
    fit = map(data, ~ lm(weight ~ Time, data = .x)),
    tidied = map(fit, tidy),
    glanced = map(fit, glance)
  ) %>% 
  unnest(tidied) 
```


```{r}
ChickWeight %>%
  ggplot() +
  geom_line(aes(x = Time, 
                 y = weight, 
                 color = Chick)) +
  facet_wrap(~ Diet)
```



# **Integrative example**

```{r}
# Import data -----

# ADH activity
adh_df <- read_csv("https://raw.githubusercontent.com/tsoleary/projects/master/ADH/data/biovision/adh_abs_11022020.csv")

# NADH std curve
nadh_df <- read_csv("https://raw.githubusercontent.com/tsoleary/projects/master/ADH/data/biovision/NADH_std_11022020.csv")
```

### NADH Std Curve

```{r}
nadh_df

nadh_df <- nadh_df %>%
  pivot_longer(cols = contains("min"), 
               names_to = "mins", 
               values_to = "abs") %>%
  mutate(mins = as.numeric(str_remove_all(mins, "_min"))) 

nadh_df
```

## Standard curve linear regression

```{r}
# Run linear model
std_lm <- lm(abs ~ NADH, nadh_df)

summary(std_lm)
```

```{r}
# Save intercept & slope values
int <- as.numeric(std_lm$coefficients[1])
slope <- as.numeric(std_lm$coefficients[2])

# Save values in a named vector
std_curve_lm <- c(int = int, 
                  slope = slope)

std_curve_lm 
```


## Absorbance data
```{r}
# ADH activity absorbance data
adh_df
```

### Tidy the data

```{r}
adh_df <- adh_df %>%
  pivot_longer(cols = contains("min"), 
               names_to = "mins", 
               values_to = "abs") %>%
  mutate(mins = as.numeric(str_remove_all(mins, "_min")))

adh_df

# Add temp data with some noise
x <- adh_df %>%
  mutate(temp = 23,
         abs = abs*rnorm(160, mean = 0.9, sd = 0.02))

adh_df <- bind_rows(adh_df, x)
```

## Plot the standard curve

```{r}
ggplot(data = nadh_df, 
       aes(x = NADH, 
           y = abs)) +
  geom_smooth(method = 'lm', 
              formula = y ~ x, 
              se = FALSE) +
  geom_point() +
  ggpmisc::stat_poly_eq(formula = y ~ x, 
                        aes(label = paste(..eq.label.., ..rr.label.., 
                                          sep = "*\"; \"*")),
                        parse = TRUE, 
                        rr.digits = 5,
                        label.x = 0.85, 
                        label.y = "top") +
  theme_classic() +
  labs(y = "Absorbance @ 450 nm", 
       x = "NADH (nmol)")
```

## Calculate enzyme activity

```{r}
adh_df <- adh_df %>%
  group_by(temp, EtOH) %>%
  mutate(nmol_NADH = (abs - std_curve_lm["int"]) / std_curve_lm["slope"],
         deltaAbs = abs - abs[mins == 0],
         deltaNADH = nmol_NADH - nmol_NADH[mins == 0],
         deltaTime = mins - 0) %>%
  filter(deltaTime != 0) %>%
  mutate(dilution_factor = 150/sample_vol,
         mU_mL = (deltaNADH/(deltaTime*(sample_vol/1000)))*dilution_factor) %>%
  ungroup(EtOH) %>%
  mutate(mU_mL = mU_mL - mU_mL[EtOH == 0])
```

## Calculating K<sub>m</sub>

```{r}
adh_df %>%
  filter(mins <= 60) %>%
  group_by(temp, EtOH) %>%
  nest() %>%
  mutate(
    fit = map(data, ~ lm(abs ~ mins, data = .x)),
    tidied = map(fit, tidy),
    glanced = map(fit, glance)) 
```

```{r}
adh_velo <- adh_df %>%
  filter(mins <= 60) %>%
  group_by(temp, EtOH) %>%
  nest() %>%
  mutate(
    fit = map(data, ~ lm(abs ~ mins, data = .x)),
    tidied = map(fit, tidy),
    glanced = map(fit, glance)
  ) %>% 
  unnest(tidied) %>%
  filter(term == "mins") %>%
  select(temp, EtOH, estimate) %>%
  rename(velocity = estimate) %>%
  filter(EtOH != 0) %>%
  arrange(temp, EtOH)
```

```{r}
adh_mm <- adh_velo %>%
  ungroup(EtOH) %>%
  filter(EtOH != 0) %>%
  group_by(temp) %>%
  nest() %>%
  mutate(
    fit = map(data, ~ nls(formula = 
                            velocity ~ SSmicmen(EtOH, Vmax, Km), data = .), 
              data = .x),
    tidied = map(fit, tidy)
  ) %>%
  unnest(tidied)

adh_mm
```

## Plot

```{r}
adh_velo %>%
  mutate(temp = as.factor(temp)) %>%
  group_by(temp) %>%
  ggplot(aes(x = EtOH,
             y = velocity)) +
  geom_smooth(method = "nls", 
              aes(group = temp),
              formula = y ~ SSmicmen(x, Vmax, Km),
              color = "grey50",
              data = adh_velo,
              se = FALSE,
              show.legend = FALSE) +
  geom_point(aes(color = temp)) +
  theme_classic()
```

# **Plotting data**

## `ggplot2`

Check out the [`ggplot2` book](https://ggplot2-book.org/index.html). 

`ggplot2` creates things in a specific order of layers.


```{r}
glimpse(starwars)
```

```{r}
starwars %>%
  ggplot(aes(x = sex, y = height)) +
  geom_point() +
  geom_boxplot() +
  theme_classic()
```

```{r}
starwars %>%
  ggplot(aes(x = sex, y = height)) +
  geom_boxplot() +
  geom_point() +
  theme_classic()
```

```{r}
starwars %>%
  ggplot(aes(x = sex, y = height)) +
  geom_boxplot() +
  geom_jitter(width = 0.2) +
  theme_classic()
```

```{r}
starwars %>%
  ggplot(aes(x = sex, y = height)) +
  geom_hline(aes(yintercept = 188), 
             linetype = 2, 
             color = "grey20") +
  geom_boxplot(outlier.shape = NA) +
  geom_jitter(width = 0.1, 
              size = 2,
              alpha = 0.8,
              shape = 21, 
              color = "grey20", 
              fill = "grey50") +
  scale_y_continuous(breaks = c(100, 150, 188, 200, 250),
                     labels = c("100", "150", "Thomas", "200", "250"),
                     name = "Height") +
  theme_classic()
```

```{r}
starwars %>%
  filter(sex %in% c("male", "female")) %>%
  ggplot(aes(x = sex, y = height)) +
  geom_violin(fill = "azure2",
              color = "grey20") +
  geom_boxplot(fill = "azure2",
               width = 0.2,
               color = "grey20") +
  theme_classic()
```

```{r}
starwars %>%
  filter(birth_year < 200) %>%
  ggplot() +
  geom_histogram(aes(x = birth_year), 
                 binwidth = 10)
```

```{r}
starwars %>%
  filter(birth_year < 200) %>%
  ggplot() +
  geom_histogram(aes(x = birth_year),
                 color = "grey20",
                 fill = "grey50",
                 binwidth = 10) +
  theme_classic()
```

```{r}
starwars %>%
  filter(birth_year < 200) %>%
  ggplot() +
  geom_histogram(aes(x = birth_year),
                 color = "grey20",
                 fill = "grey50",
                 binwidth = 10) +
  geom_density(aes(x = birth_year, 
                   y =  10 * ..count..),
               color = "grey20") +
  ylab("count") +
  theme_classic()
```

```{r}
starwars %>%
  filter(mass < 1000) %>%
  mutate(species_h = ifelse(species == "Human",  "Human", "Other")) %>%
  ggplot() +
  geom_point(aes(x = height, 
                 y = mass, 
                 fill = species_h),
             size = 5,
             alpha = 0.8,
             color = "grey50",
             shape = 21) +
  theme_classic()
```

```{r}
starwars %>%
  filter(mass < 1000) %>%
  mutate(species_h = ifelse(species == "Human",  "Human", "Other")) %>%
  arrange(desc(species_h)) %>%
  ggplot() +
  geom_point(aes(x = height, 
                 y = mass, 
                 fill = species_h),
             size = 5,
             alpha = 0.8,
             color = "grey50",
             shape = 21) +
  theme_classic()
```


```{r}
starwars_h <- starwars %>%
  filter(mass < 1000) %>%
  mutate(species_h = ifelse(species == "Human",  "Human", "Other")) %>%
  arrange(desc(species_h))


p <- ggplot() +
  geom_point(data = starwars_h %>%
               filter(species_h != "Human"),
             aes(x = height, 
                 y = mass, 
                 fill = species_h),
             size = 1,
             alpha = 0.8,
             color = "grey50",
             shape = 21) +
    geom_point(data = starwars_h %>%
               filter(species_h == "Human"),
               aes(x = height, 
                 y = mass, 
                 fill = species_h),
             size = 3,
             alpha = 0.8,
             color = "grey50",
             shape = 21) +
  scale_fill_manual(values = c("#d66666", "#222222")) +
  theme_classic()

p
```

```{r}
plotly::ggplotly(p, text = "text")
```

```{r}

friends <- c("Luke Skywalker", 
             "Leia Organa",
             "Han Solo",
             "Chewbacca",
             "C-3PO",
             "R2-D2",
             "Obi-Wan Kenobi")

ggplot() +
  geom_point(data = starwars_h, 
             aes(x = height, 
                 y = mass,
                 fill = species_h),
             size = 5,
             alpha = 0.8,
             color = "grey50",
             shape = 21) +
  ggrepel::geom_label_repel(data = starwars_h %>%
                              filter(name %in% friends),
                            aes(x = height, 
                                y = mass,
                                label = name),
                            min.segment.length = 0.01) +
  theme_classic()
```

These are some examples of plots that I have made in R.

[ADH data](https://tsoleary.github.io/projects/ADH/scripts/adh_data_tso.html)

[World Record Progression](https://tsoleary.github.io/track/world_record_progression/athletics_world_record_progression.html)

# **Creating functions**

Functions are extremely useful when you are doing repetive tasks. And greating

Using [snippets](https://support.rstudio.com/hc/en-us/articles/204463668-Code-Snippets-in-the-RStudio-IDE) can help 

For example when I type `mfun_snip` and hit `tab`, the following code prints out on my script. 

```{r}
# ------------------------------------------------------------------------------
# Function: function_name
# Description: description
# Inputs: input_description
# Outputs: output_description

function_name <- function(args) {
  # Function body
  print("Hello world!")
} 
# End function -----------------------------------------------------------------
```

Which is made with the following code inserted into the snippets file. [This webpage](https://support.rstudio.com/hc/en-us/articles/204463668-Code-Snippets-in-the-RStudio-IDE) walks through the process of adding snippets.

```
snippet mfun_snip
	# ------------------------------------------------------------------------------
	# Function: ${1:function_name}
	# Description: ${2:description}
	# Inputs: ${3:input_description}
	# Outputs: ${4:output_description}
	
	${1:function_name} <- function(args) {
		# Function body
		print("Hello world!")
	} 
	# End function -----------------------------------------------------------------
```

## Examples of functions

```{r}
# ------------------------------------------------------------------------------
# Function: read_tidy_spec_csv
# Description: uses read_csv and tidys the data
# Inputs: .csv file 
# Outputs: data.frame

require(tidyverse)

read_tidy_spec_csv <- function(file) {
  
  read_csv(file) %>%
    pivot_longer(-c("cycle", "time", "temp"), 
                 names_to = "conc_well", 
                 values_to = "abs") %>%
    mutate(conc = as.numeric(str_replace_all(conc_well, "_.", ""))) %>%
    mutate(file = str_remove(file, ".csv")) %>%
    separate(file, into = c("enzyme", "temp_group", "date"), sep = "_")
  
} 
# End function -----------------------------------------------------------------
```

```{r}
# ------------------------------------------------------------------------------
# Function: calc_Km_Vm
# Description: Calculate Vmax and Km for Michaelis–Menten curve
# Inputs: tibble with velocity estimates for each conc and temp_group
# Outputs: tibble with estimates for Vmax and Km

require(tidyverse)
require(broom)

calc_Km_Vm <- function(data) {
  data %>%
    filter(conc != 0 & velocity > 0) %>%
    group_by(enzyme, temp_group) %>%
    nest() %>%
    mutate(
      fit = map(data, ~ nls(formula = 
                              velocity ~ SSmicmen(conc, Vmax, Km), data = .), 
                data = .x),
      tidied = map(fit, tidy)
    ) %>%
    unnest(tidied) %>%
    mutate(r.squared = map(fit, Rsq)) %>%
    unnest(r.squared)
} 
# End function -----------------------------------------------------------------
```

```{r}
# ------------------------------------------------------------------------------
# Function: v_test
# Description: calculate v from Hunter B. Fraser PNAS 2020 paper
# Inputs: 
#   var_par - variance of parents
#   var_p1 - variance of parent 1
#   var_p2 - variance of parent 2
#   n_p1 - number of parent 1 individuals
#   n_p2 - number of parent 2 individuals
#   var_f2 - variance of f2 hybrids
#   H2 - broad sense heritibility
#   c
# Outputs: v-test value

v_test <- function(var_par, var_p1, var_p2, n_p1, n_p2, var_f2, H2, c) {
  # Calculate the value of v
  (var_par - var_p1/(4 * n_p1) - var_p2/(4 * n_p2)) / (var_f2 * H2 * c)
} 
# End function -----------------------------------------------------------------
```