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As contributors and maintainers of this project, we pledge to respect all people who contribute through reporting issues, posting feature requests, updating documentation, submitting pull requests or patches, and other activities.

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YEAR: 2016
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Imputating missing values is an iterative process. -naniar aims to make it easier to manage imputed values by -providing the nabular data structure to simplify managing -missingness. This vignette provides some useful recipes for imputing and -exploring imputed data.

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naniar implements a few imputation methods to facilitate -exploration and visualisations, which were not otherwise available: -impute_below, and impute_mean. For single -imputation, the R package simputation works very well with -naniar, and provides the main example given.

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Imputing and tracking missing values -

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Using impute_below -

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impute_below imputes values below the minimum of the -data, with some noise to reduce overplotting. The amount data is imputed -below, and the amount of jitter, can be changed by changing the -arguments prop_below and jitter.

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-library(dplyr)
-#> 
-#> Attaching package: 'dplyr'
-#> The following objects are masked from 'package:stats':
-#> 
-#>     filter, lag
-#> The following objects are masked from 'package:base':
-#> 
-#>     intersect, setdiff, setequal, union
-library(naniar)
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-airquality %>%
-  impute_below_at(vars(Ozone)) %>%
-  select(Ozone, Solar.R) %>%
-  head()
-#>       Ozone Solar.R
-#> 1  41.00000     190
-#> 2  36.00000     118
-#> 3  12.00000     149
-#> 4  18.00000     313
-#> 5 -19.72321      NA
-#> 6  28.00000      NA
-
-
-

Using impute_mean -

-

The mean can be imputed using impute_mean, and is useful -to explore structure in missingness, but are not recommended for use in -analysis. Similar to simputation, each impute_ -function returns the data with values imputed.

-

Imputation functions in naniar implement “scoped -variants” for imputation: _all, _at and -_if.

-

This means:

-
    -
  • -_all operates on all columns
  • -
  • -_at operates on specific columns, and
  • -
  • -_if operates on columns that meet some condition (such -as is.numeric or is.character).
  • -
-

If the impute_ functions are used as-is - e.g., -impute_mean, this will work on a single vector, but not a -data.frame.

-

Some examples for impute_mean are now given:

-
-
-impute_mean(oceanbuoys$air_temp_c) %>% head()
-#> [1] 27.15 27.02 27.00 26.93 26.84 26.94
-
-impute_mean_at(oceanbuoys, .vars = vars(air_temp_c)) %>% head()
-#> # A tibble: 6 × 8
-#>    year latitude longitude sea_temp_c air_temp_c humidity wind_ew wind_ns
-#>   <dbl>    <dbl>     <dbl>      <dbl>      <dbl>    <dbl>   <dbl>   <dbl>
-#> 1  1997        0      -110       27.6       27.1     79.6   -6.40    5.40
-#> 2  1997        0      -110       27.5       27.0     75.8   -5.30    5.30
-#> 3  1997        0      -110       27.6       27       76.5   -5.10    4.5 
-#> 4  1997        0      -110       27.6       26.9     76.2   -4.90    2.5 
-#> 5  1997        0      -110       27.6       26.8     76.4   -3.5     4.10
-#> 6  1997        0      -110       27.8       26.9     76.7   -4.40    1.60
-
-impute_mean_if(oceanbuoys, .predicate = is.integer) %>% head()
-#> # A tibble: 6 × 8
-#>    year latitude longitude sea_temp_c air_temp_c humidity wind_ew wind_ns
-#>   <dbl>    <dbl>     <dbl>      <dbl>      <dbl>    <dbl>   <dbl>   <dbl>
-#> 1  1997        0      -110       27.6       27.1     79.6   -6.40    5.40
-#> 2  1997        0      -110       27.5       27.0     75.8   -5.30    5.30
-#> 3  1997        0      -110       27.6       27       76.5   -5.10    4.5 
-#> 4  1997        0      -110       27.6       26.9     76.2   -4.90    2.5 
-#> 5  1997        0      -110       27.6       26.8     76.4   -3.5     4.10
-#> 6  1997        0      -110       27.8       26.9     76.7   -4.40    1.60
-
-impute_mean_all(oceanbuoys) %>% head()
-#> # A tibble: 6 × 8
-#>    year latitude longitude sea_temp_c air_temp_c humidity wind_ew wind_ns
-#>   <dbl>    <dbl>     <dbl>      <dbl>      <dbl>    <dbl>   <dbl>   <dbl>
-#> 1  1997        0      -110       27.6       27.1     79.6   -6.40    5.40
-#> 2  1997        0      -110       27.5       27.0     75.8   -5.30    5.30
-#> 3  1997        0      -110       27.6       27       76.5   -5.10    4.5 
-#> 4  1997        0      -110       27.6       26.9     76.2   -4.90    2.5 
-#> 5  1997        0      -110       27.6       26.8     76.4   -3.5     4.10
-#> 6  1997        0      -110       27.8       26.9     76.7   -4.40    1.60
-

When we impute data like this, we cannot identify where the imputed -values are - we need to track them. We can track the imputed values -using the nabular format of the data.

-
-

Track imputed values using nabular data -

-

We can track the missing values by combining the verbs -bind_shadow, impute_, -add_label_shadow. We can then refer to missing values by -their shadow variable, _NA. The -add_label_shadow function adds an additional column called -any_missing, which tells us if any observation has a -missing value.

-
-
Imputing values using simputation -
-

We can impute the data using the easy-to-use simputation -package, and then track the missingness using bind_shadow -and add_label_shadow:

-
-
-library(simputation)
-#> 
-#> Attaching package: 'simputation'
-#> The following object is masked from 'package:naniar':
-#> 
-#>     impute_median
-ocean_imp <- oceanbuoys %>%
-  bind_shadow() %>%
-  impute_lm(air_temp_c ~ wind_ew + wind_ns) %>%
-  impute_lm(humidity ~  wind_ew + wind_ns) %>%
-  impute_lm(sea_temp_c ~  wind_ew + wind_ns) %>%
-  add_label_shadow()
-

We can then show the previously missing (now imputed!) data in a -scatterplot with ggplot2 by setting the color aesthetic in -ggplot to any_missing:

-
-library(ggplot2)
-ggplot(ocean_imp,
-       aes(x = air_temp_c,
-           y = humidity,
-           color = any_missing)) + 
-  geom_point() +
-  scale_color_brewer(palette = "Dark2") +
-  theme(legend.position = "bottom")
-

-

Or, if you want to look at one variable, you can look at a density -plot of one variable, using fill = any_missing

-
-
-ggplot(ocean_imp,
-       aes(x = air_temp_c,
-           fill = any_missing)) + 
-  geom_density(alpha = 0.3) + 
-  scale_fill_brewer(palette = "Dark2") +
-  theme(legend.position = "bottom")
-
-ggplot(ocean_imp,
-       aes(x = humidity,
-           fill = any_missing)) + 
-  geom_density(alpha = 0.3) + 
-  scale_fill_brewer(palette = "Dark2") +
-  theme(legend.position = "bottom")
-

-

We can also compare imputed values to complete cases by grouping by -any_missing, and summarising.

-
-ocean_imp %>%
-  group_by(any_missing) %>%
-  summarise_at(.vars = vars(air_temp_c),
-               .funs = list(
-                 min = ~ min(.x, na.rm = TRUE), 
-                 mean = ~ mean(.x, na.rm = TRUE), 
-                 median = ~ median(.x, na.rm = TRUE), 
-                 max = ~ max(.x, na.rm = TRUE)
-              ))
-#> # A tibble: 2 × 5
-#>   any_missing   min  mean median   max
-#>   <chr>       <dbl> <dbl>  <dbl> <dbl>
-#> 1 Missing      21.4  23.9   24.4  25.2
-#> 2 Not Missing  22.1  25.3   25.8  28.5
-
-
-
-
-

Improving imputations -

-

One thing that we notice with our imputations are that they aren’t -very good - we can improve upon the imputation by including the -variables year and latitude and longitude:

-
-ocean_imp_yr <- oceanbuoys %>%
-  bind_shadow() %>%
-  impute_lm(air_temp_c ~ wind_ew + wind_ns + year + longitude + latitude) %>%
-  impute_lm(humidity ~  wind_ew + wind_ns + year + longitude + latitude) %>%
-  impute_lm(sea_temp_c ~  wind_ew + wind_ns + year + longitude + latitude) %>%
-  add_label_shadow()
-
-ggplot(ocean_imp_yr,
-       aes(x = air_temp_c,
-           y = humidity,
-           color = any_missing)) + 
-  geom_point() +
-  scale_color_brewer(palette = "Dark2") +
-  theme(legend.position = "bottom")
-

-
-
-

Other imputation approaches -

-

Not all imputation packages return data in tidy

-
-

Hmisc aregImpute -

-

We can explore using a single imputation of -Hmisc::aregImpute(), which allows for multiple imputation -with bootstrapping, additive regression, and predictive mean matching. -We are going to explore predicting mean matching, and single -imputation.

-

-library(Hmisc)
-#> 
-#> Attaching package: 'Hmisc'
-#> The following object is masked from 'package:simputation':
-#> 
-#>     impute
-#> The following objects are masked from 'package:dplyr':
-#> 
-#>     src, summarize
-#> The following objects are masked from 'package:base':
-#> 
-#>     format.pval, units
-
-aq_imp <- aregImpute(~Ozone + Temp + Wind + Solar.R,
-                     n.impute = 1,
-                     type = "pmm",
-                     data = airquality)
-#> Iteration 1 
-Iteration 2 
-Iteration 3 
-Iteration 4 
-
-aq_imp
-#> 
-#> Multiple Imputation using Bootstrap and PMM
-#> 
-#> aregImpute(formula = ~Ozone + Temp + Wind + Solar.R, data = airquality, 
-#>     n.impute = 1, type = "pmm")
-#> 
-#> n: 153   p: 4    Imputations: 1      nk: 3 
-#> 
-#> Number of NAs:
-#>   Ozone    Temp    Wind Solar.R 
-#>      37       0       0       7 
-#> 
-#>         type d.f.
-#> Ozone      s    2
-#> Temp       s    2
-#> Wind       s    2
-#> Solar.R    s    1
-#> 
-#> Transformation of Target Variables Forced to be Linear
-#> 
-#> R-squares for Predicting Non-Missing Values for Each Variable
-#> Using Last Imputations of Predictors
-#>   Ozone Solar.R 
-#>   0.667   0.224
-

We are now going to get our data into nabular form, and -then insert the imputed values:

-
-
-# nabular form!
-aq_nab <- nabular(airquality) %>%  add_label_shadow()
-
-# insert imputed values
-aq_nab$Ozone[is.na(aq_nab$Ozone)] <- aq_imp$imputed$Ozone
-aq_nab$Solar.R[is.na(aq_nab$Solar.R)] <- aq_imp$imputed$Solar.R
-

In the future there will be a more concise way to insert these -imputed values into data, but for the moment the method above is what I -would recommend for single imputation.

-

We can then explore the imputed values like so:

-
-
-ggplot(aq_nab,
-       aes(x = Ozone,
-           y = Solar.R,
-           colour = any_missing)) + 
-  geom_point()
-

-
-
-
-
- - - - -
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a/docs/articles/getting-started-w-naniar.html +++ /dev/null @@ -1,854 +0,0 @@ - - - - - - - - -Getting Started with naniar • naniar - - - - - - - - - - - - - - - - - Skip to contents - - -

- - - - -
-
- - - -
-

Introduction -

-

Missing values are ubiquitous in data and need to be carefully -explored and handled in the initial stages of analysis. In this vignette -we describe the tools in the package naniar for exploring -missing data structures with minimal deviation from the common workflows -of ggplot and tidy data (Wickham, 2014, -Wickham, -2009).

-

Sometimes researchers or analysts will introduce or describe a -mechanism for missingness. For example, they might explain that data -from a weather station might have a malfunction when there are extreme -weather events, and does not record temperature data when gusts speeds -are high. This seems like a nice simple, logical explanation. However, -like all good explanations, this one is simple, but the process to get -there was probably not, and likely involved more time than you would -have liked developing exploratory data analyses and models.

-

So when someone presents a really nice plot and a nice sensible -explanation, the initial thought might be:

-
-

They worked it out themselves so quickly, so easy!

-
-

As if the problem was so easy to solve, they could -accidentally solve it - they couldn’t not solve it.

-

However, I think that if you manage to get that on the first go, that -is more like turning around and throwing a rock into a lake and it -landing in a cup in a boat. Unlikely.

-

With that thought in mind, this vignette aims to work with the -following three questions, using the tools developed in -naniar and another package, visdat. Namely, -how do we:

-
    -
  1. Start looking at missing data?
  2. -
  3. Explore missingness mechanisms?
  4. -
  5. Model missingness?
  6. -
-
-
-

How do we start looking at missing data? -

-

When you start with a dataset, you might do something where you look -at the general summary, using functions such as:

- -

These works really well when you’ve got a small amount of data, but -when you have more data, you are generally limited by how much you can -read.

-

So before you start looking at missing data, you’ll need to look at -the data, but what does that even mean?

-

The package visdat helps you get a handle on this. -visdat provides a visualisation of an entire data frame at -once, and was heavily inspired by csv-fingerprint, -and functions like missmap, from Amelia.

-

There are two main functions in the visdat package:

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    -
  • -vis_dat, and
  • -
  • vis_miss
  • -
-
-

-vis_dat -

-
-library(visdat)
-vis_dat(airquality)
-

-

vis_dat visualises the whole dataframe at once, and -provides information about the class of the data input into R, as well -as whether the data is missing or not.

-
-

-vis_miss -

-

The function vis_miss provides a summary of whether the -data is missing or not. It also provides the amount of missings in each -columns.

-
-vis_miss(airquality)
-

-

So here, Ozone and Solar.R have the most missing data, with Ozone -having 24.2% missing data and Solar.R have 4.6%. The other variables do -not have any missing data.

-

To read more about the functions available in visdat see -the vignette “Using -visdat”

-
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-

Exploring missingness relationships -

-

We can identify key variables that are missing using -vis_miss, but for further exploration, we need to explore -the relationship amongst the variables in this data:

-
    -
  • Ozone,
  • -
  • Solar.R
  • -
  • Wind
  • -
  • Temp
  • -
  • Month
  • -
  • Day
  • -
-

Typically, when exploring this data, you might want to explore the -variables Solar.R and Ozone, and so plot a scatterplot of solar -radiation and ozone, doing something like this:

-
-library(ggplot2)
-ggplot(airquality, 
-       aes(x = Solar.R, 
-           y = Ozone)) + 
-  geom_point()
-
## Warning: Removed 42 rows containing missing values (`geom_point()`).
-

-

The problem with this is that ggplot does not handle missings be -default, and removes the missing values. This makes them hard to -explore. It also presents the strange question of “how do you visualise -something that is not there?”. One approach to visualising missing data -comes from ggobi and manet, where we -replace “NA” values with values 10% lower than the minimum value in that -variable.

-

This process is performed and visualised for you with the -geom_miss_point() ggplot2 geom. Here, we illustrate by -exploring the relationship between Ozone and Solar radiation from the -airquality dataset.

-
-ggplot(airquality, 
-       aes(x = Solar.R, 
-           y = Ozone)) + 
-  geom_point()
-
## Warning: Removed 42 rows containing missing values (`geom_point()`).
-
-library(naniar)
-
-ggplot(airquality, 
-       aes(x = Solar.R, 
-           y = Ozone)) + 
-  geom_miss_point()
-

-

Being a proper ggplot geom, it supports all of the standard features -of ggplot2, such as facets,

-
-ggplot(airquality, 
-       aes(x = Solar.R, 
-           y = Ozone)) + 
-  geom_miss_point() + 
-  facet_wrap(~Month)
-

-

And different themes

-
-ggplot(airquality, 
-       aes(x = Solar.R, 
-           y = Ozone)) + 
-  geom_miss_point() + 
-  facet_wrap(~Month) + 
-  theme_dark()
-

-
-

Visualising missings in variables -

-

Another approach to visualising the missings in a dataset is to use -the gg_miss_var plot:

-
-gg_miss_var(airquality)
-

-

The plots created with the gg_miss family all have a -basic theme, but you can customise them, and add arguments like so:

-
-gg_miss_var(airquality) + theme_bw() 
-

-
-gg_miss_var(airquality) + labs(y = "Look at all the missing ones")
-

-

To add facets in these plots, you can use the facet -argument:

-
-gg_miss_var(airquality, facet = Month)
-

-

There are more visualisations available in naniar (each -starting with gg_miss_) - you can see these in the “Gallery -of Missing Data Visualisations” vignette..

-

It is important to note that for every visualisation of missing data -in naniar, there is an accompanying function to get the -dataframe of the plot out. This is important as the plot should not -return a dataframe - but we also need to make the data available for use -by the user so that it isn’t locked into a plot. You can find these -summary plots below, with miss_var_summary providing the -dataframe that gg_miss_var() is based on.

-
-
-
-

Replacing existing values with NA -

-

When you are dealing with missing values, you might want to replace -values with a missing values (NA). This is useful in cases when you know -the origin of the data and can be certain which values should be -missing. For example, you might know that all values of “N/A”, “N A”, -and “Not Available”, or -99, or -1 are supposed to be missing.

-

naniar provides functions to specifically work on this -type of problem using the function replace_with_na. This -function is the compliment to tidyr::replace_na, which -replaces an NA value with a specified value, whereas -naniar::replace_with_na replaces a value with an NA:

- -

You can read more about this in the vignette “Replacing -values with NA”

-
-
-

Tidy Missing Data: The Shadow Matrix -

-

Representing missing data structure in a tidy format is achieved -using the shadow matrix, introduced in Swayne -and Buja. The shadow matrix is the same dimension as the data, and -consists of binary indicators of missingness of data values, where -missing is represented as “NA”, and not missing is represented as “!NA”. -Although these may be represented as 1 and 0, respectively. This -representation can be seen in the figure below, adding the suffix “_NA” -to the variables. This structure can also be extended to allow for -additional factor levels to be created. For example 0 indicates data -presence, 1 indicates missing values, 2 indicates imputed value, and 3 -might indicate a particular type or class of missingness, where reasons -for missingness might be known or inferred. The data matrix can also be -augmented to include the shadow matrix, which facilitates visualisation -of univariate and bivariate missing data visualisations. Another format -is to display it in long form, which facilitates heatmap style -visualisations. This approach can be very helpful for giving an overview -of which variables contain the most missingness. Methods can also be -applied to rearrange rows and columns to find clusters, and identify -other interesting features of the data that may have previously been -hidden or unclear.

-

-

Illustration of data structures for facilitating -visualisation of missings and not missings

-

The shadow functions provide a way to keep track of -missing values. The as_shadow function creates a dataframe -with the same set of columns, but with the column names added a suffix -_NA

-
-as_shadow(airquality)
-
## # A tibble: 153 × 6
-##    Ozone_NA Solar.R_NA Wind_NA Temp_NA Month_NA Day_NA
-##    <fct>    <fct>      <fct>   <fct>   <fct>    <fct> 
-##  1 !NA      !NA        !NA     !NA     !NA      !NA   
-##  2 !NA      !NA        !NA     !NA     !NA      !NA   
-##  3 !NA      !NA        !NA     !NA     !NA      !NA   
-##  4 !NA      !NA        !NA     !NA     !NA      !NA   
-##  5 NA       NA         !NA     !NA     !NA      !NA   
-##  6 !NA      NA         !NA     !NA     !NA      !NA   
-##  7 !NA      !NA        !NA     !NA     !NA      !NA   
-##  8 !NA      !NA        !NA     !NA     !NA      !NA   
-##  9 !NA      !NA        !NA     !NA     !NA      !NA   
-## 10 NA       !NA        !NA     !NA     !NA      !NA   
-## # ℹ 143 more rows
-

bind_shadow attaches a shadow to the current dataframe, -a format we call “nabular”, a portmanteau of NA a -tabular. You can also use nabular to do the -same thing:

-
-aq_shadow <- bind_shadow(airquality)
-aq_nab <- nabular(airquality)
-
-library(dplyr)
-
## 
-## Attaching package: 'dplyr'
-
## The following objects are masked from 'package:stats':
-## 
-##     filter, lag
-
## The following objects are masked from 'package:base':
-## 
-##     intersect, setdiff, setequal, union
-
-glimpse(aq_shadow)
-
## Rows: 153
-## Columns: 12
-## $ Ozone      <int> 41, 36, 12, 18, NA, 28, 23, 19, 8, NA, 7, 16, 11, 14, 18, 1…
-## $ Solar.R    <int> 190, 118, 149, 313, NA, NA, 299, 99, 19, 194, NA, 256, 290,…
-## $ Wind       <dbl> 7.4, 8.0, 12.6, 11.5, 14.3, 14.9, 8.6, 13.8, 20.1, 8.6, 6.9…
-## $ Temp       <int> 67, 72, 74, 62, 56, 66, 65, 59, 61, 69, 74, 69, 66, 68, 58,…
-## $ Month      <int> 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,…
-## $ Day        <int> 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, …
-## $ Ozone_NA   <fct> !NA, !NA, !NA, !NA, NA, !NA, !NA, !NA, !NA, NA, !NA, !NA, !…
-## $ Solar.R_NA <fct> !NA, !NA, !NA, !NA, NA, NA, !NA, !NA, !NA, !NA, NA, !NA, !N…
-## $ Wind_NA    <fct> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA,…
-## $ Temp_NA    <fct> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA,…
-## $ Month_NA   <fct> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA,…
-## $ Day_NA     <fct> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA,…
-
-glimpse(aq_nab)
-
## Rows: 153
-## Columns: 12
-## $ Ozone      <int> 41, 36, 12, 18, NA, 28, 23, 19, 8, NA, 7, 16, 11, 14, 18, 1…
-## $ Solar.R    <int> 190, 118, 149, 313, NA, NA, 299, 99, 19, 194, NA, 256, 290,…
-## $ Wind       <dbl> 7.4, 8.0, 12.6, 11.5, 14.3, 14.9, 8.6, 13.8, 20.1, 8.6, 6.9…
-## $ Temp       <int> 67, 72, 74, 62, 56, 66, 65, 59, 61, 69, 74, 69, 66, 68, 58,…
-## $ Month      <int> 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,…
-## $ Day        <int> 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, …
-## $ Ozone_NA   <fct> !NA, !NA, !NA, !NA, NA, !NA, !NA, !NA, !NA, NA, !NA, !NA, !…
-## $ Solar.R_NA <fct> !NA, !NA, !NA, !NA, NA, NA, !NA, !NA, !NA, !NA, NA, !NA, !N…
-## $ Wind_NA    <fct> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA,…
-## $ Temp_NA    <fct> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA,…
-## $ Month_NA   <fct> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA,…
-## $ Day_NA     <fct> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA,…
-
-all.equal(aq_shadow, aq_nab)
-
## [1] TRUE
-

Doing this provides a consistent syntax for referring to variables -with missing values.

-

Nabular data provides a useful pattern to explore missing -values, grouping by the missing/complete of one variable and looking at -the mean and other summary values. Below we show the mean, sd, variance, -and min and max values of Solar.R for when Ozone is present, and when it -is missing.

-
-airquality %>%
-  bind_shadow() %>%
-  group_by(Ozone_NA) %>%
-  summarise_at(.vars = "Solar.R",
-               .funs = c("mean", "sd", "var", "min", "max"),
-               na.rm = TRUE)
-
## # A tibble: 2 × 6
-##   Ozone_NA  mean    sd   var   min   max
-##   <fct>    <dbl> <dbl> <dbl> <int> <int>
-## 1 !NA       185.  91.2 8309.     7   334
-## 2 NA        190.  87.7 7690.    31   332
-

Below, we can plot the distribution of Temperature, plotting for -values of temperature when Ozone is missing, and when it is not -missing.

-
-ggplot(aq_shadow,
-       aes(x = Temp,
-           colour = Ozone_NA)) + 
-  geom_density()
-

-

We can also explore the value of air temperature and humidity based -on missingness of each.

-
-# what if we explore the value of air temperature and humidity based on
-# the missingness of each
-  oceanbuoys %>%
-    bind_shadow() %>%
-    ggplot(aes(x = air_temp_c,
-               fill = humidity_NA)) +
-        geom_histogram()
-
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
-
## Warning: Removed 81 rows containing non-finite values (`stat_bin()`).
-

-
-  oceanbuoys %>%
-    bind_shadow() %>%
-    ggplot(aes(x = humidity,
-               fill = air_temp_c_NA)) +
-        geom_histogram()
-
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
-
## Warning: Removed 93 rows containing non-finite values (`stat_bin()`).
-

-

Binding the shadow here also has great benefits when combined with -imputation.

-
-
-

Visualising imputed values -

-

With the easy-to-use simputation -package, we impute values for Ozone, then visualise the data:

- -
## 
-## Attaching package: 'simputation'
-
## The following object is masked from 'package:naniar':
-## 
-##     impute_median
-
-library(dplyr)
-
-airquality %>%
-  impute_lm(Ozone ~ Temp + Wind) %>%
-  ggplot(aes(x = Temp,
-             y = Ozone)) + 
-  geom_point()
-

-

Note that we no longer get any errors regarding missing observations -- because they are all imputed! But this comes at a cost: we also no -longer have information about where the imputations are - they are now -sort of invisible.

-

Using the shadow matrix to keep track of where the missings are, you -can actually keep track of the imputations, by colouring by what was -previously missing in Ozone.

-
-aq_shadow %>%
-  as.data.frame() %>% 
-  impute_lm(Ozone ~ Temp + Wind) %>%
-  ggplot(aes(x = Temp,
-             y = Ozone,
-             colour = Ozone_NA)) + 
-  geom_point()
-

-
-

Numerical summaries of missing values -

-

naniar also provide numerical summaries for missing -data. Two convenient counters of complete values and missings are -n_miss() and n_complete(). These work on both -dataframes and vectors, similar to dplyr::n_distinct()

-
-dplyr::n_distinct(airquality)
-
## [1] 153
-
-dplyr::n_distinct(airquality$Ozone)
-
## [1] 68
-
-n_miss(airquality)
-
## [1] 44
-
-n_miss(airquality$Ozone)
-
## [1] 37
-
-n_complete(airquality)
-
## [1] 874
-
-n_complete(airquality$Ozone)
-
## [1] 116
-

The syntax for the other numerical sumamries in naniar -are miss_, and then case, or var -to refer to cases or variables. There are then summary, -table, run, span, and -cumsum options to explore missing data.

-

prop_miss_case and pct_miss_case return -numeric value describing the proportion or percent of missing values in -the dataframe.

-
-prop_miss_case(airquality)
-
## [1] 0.2745098
-
-pct_miss_case(airquality)
-
## [1] 27.45098
-

miss_case_summary() returns a numeric value that -describes the number of missings in a given case (aka row), the percent -of missings in that row.

-
-miss_case_summary(airquality)
-
## # A tibble: 153 × 3
-##     case n_miss pct_miss
-##    <int>  <int>    <dbl>
-##  1     5      2     33.3
-##  2    27      2     33.3
-##  3     6      1     16.7
-##  4    10      1     16.7
-##  5    11      1     16.7
-##  6    25      1     16.7
-##  7    26      1     16.7
-##  8    32      1     16.7
-##  9    33      1     16.7
-## 10    34      1     16.7
-## # ℹ 143 more rows
-

miss_case_table() tabulates the number of missing values -in a case / row. Below, this shows the number of missings in a case:

-
    -
  • There are 111 cases with 0 missings, which comprises about 72% of -the data.
  • -
  • There are then 40 cases with 1 missing, these make up 26% of the -data.
  • -
  • There are then 2 cases with 2 missing - these make up 1% of the -data.
  • -
-
-miss_case_table(airquality)
-
## # A tibble: 3 × 3
-##   n_miss_in_case n_cases pct_cases
-##            <int>   <int>     <dbl>
-## 1              0     111     72.5 
-## 2              1      40     26.1 
-## 3              2       2      1.31
-

Similar to pct_miss_case(), -prop_miss_case(), pct_miss_var() and -prop_miss_var() returns the percent and proportion of -variables that contain a missing value.

-
-prop_miss_var(airquality)
-
## [1] 0.3333333
-
-pct_miss_var(airquality)
-
## [1] 33.33333
-

miss_var_summary() then returns the number of missing -values in a variable, and the percent missing in that variable.

-
-miss_var_summary(airquality)
-
## # A tibble: 6 × 3
-##   variable n_miss pct_miss
-##   <chr>     <int>    <dbl>
-## 1 Ozone        37    24.2 
-## 2 Solar.R       7     4.58
-## 3 Wind          0     0   
-## 4 Temp          0     0   
-## 5 Month         0     0   
-## 6 Day           0     0
-

Finally, miss_var_table(). This describes the number of -missings in a variable.

-
    -
  • There are 4 variables with 0 missings, comprising 66.67% of -variables in the dataset.
  • -
  • There is 1 variable with 7 missings
  • -
  • There is 1 variable with 37 missings
  • -
-
-miss_var_table(airquality)
-
## # A tibble: 3 × 3
-##   n_miss_in_var n_vars pct_vars
-##           <int>  <int>    <dbl>
-## 1             0      4     66.7
-## 2             7      1     16.7
-## 3            37      1     16.7
-

There are also summary functions for exploring missings that occur -over a particular span or period of the dataset, or the number of -missings in a single run:

- -

miss_var_run() can be particularly useful in time series -data, as it allows you to provide summaries for the number of missings -or complete values in a single run. The function -miss_var_run() provides a data.frame of the run length of -missings and complete values. To explore this function we will use the -built-in dataset, pedestrian, which contains hourly counts -of pedestrians from four locations around Melbourne, Australia, from -2016.

-

To use miss_var_run(), you specify the variable that you -want to explore the runs of missingness for, in this case, -hourly_counts:

-
-miss_var_run(pedestrian,
-             hourly_counts)
-
## # A tibble: 35 × 2
-##    run_length is_na   
-##         <int> <chr>   
-##  1       6628 complete
-##  2          1 missing 
-##  3       5250 complete
-##  4        624 missing 
-##  5       3652 complete
-##  6          1 missing 
-##  7       1290 complete
-##  8        744 missing 
-##  9       7420 complete
-## 10          1 missing 
-## # ℹ 25 more rows
-

miss_var_span() is used to determine the number of -missings over a specified repeating span of rows in variable of a -dataframe. Similar to miss_var_run(), you specify the -variable that you wish to explore, you then also specify the size of the -span with the span_every argument.

-
-miss_var_span(pedestrian,
-              hourly_counts,
-              span_every = 100)
-
## # A tibble: 377 × 6
-##    span_counter n_miss n_complete prop_miss prop_complete n_in_span
-##           <int>  <int>      <int>     <dbl>         <dbl>     <int>
-##  1            1      0        100         0             1       100
-##  2            2      0        100         0             1       100
-##  3            3      0        100         0             1       100
-##  4            4      0        100         0             1       100
-##  5            5      0        100         0             1       100
-##  6            6      0        100         0             1       100
-##  7            7      0        100         0             1       100
-##  8            8      0        100         0             1       100
-##  9            9      0        100         0             1       100
-## 10           10      0        100         0             1       100
-## # ℹ 367 more rows
-
-
-
-

Using group_by with naniar -

-

Every miss_* summary function that returns a dataframe -can be used with dplyr group_by(). For example, if you -would like to look at the number of missing values for all variables of -pedestrian data.

-
-pedestrian %>% miss_var_summary()
-
## # A tibble: 9 × 3
-##   variable      n_miss pct_miss
-##   <chr>          <int>    <dbl>
-## 1 hourly_counts   2548     6.76
-## 2 date_time          0     0   
-## 3 year               0     0   
-## 4 month              0     0   
-## 5 month_day          0     0   
-## 6 week_day           0     0   
-## 7 hour               0     0   
-## 8 sensor_id          0     0   
-## 9 sensor_name        0     0
-

We see that this is in hourly_counts. We can then -explore this by month, and filder by the variable being -hourly_counts, since it is the only one with missing -values.

-
-pedestrian %>%
- group_by(month) %>%
- miss_var_summary() %>%
- filter(variable == "hourly_counts")
-
## # A tibble: 12 × 4
-## # Groups:   month [12]
-##    month     variable      n_miss pct_miss
-##    <ord>     <chr>          <int>    <dbl>
-##  1 January   hourly_counts      0     0   
-##  2 February  hourly_counts      0     0   
-##  3 March     hourly_counts      0     0   
-##  4 April     hourly_counts    552    19.2 
-##  5 May       hourly_counts     72     2.42
-##  6 June      hourly_counts      0     0   
-##  7 July      hourly_counts      0     0   
-##  8 August    hourly_counts    408    13.7 
-##  9 September hourly_counts      0     0   
-## 10 October   hourly_counts    412     7.44
-## 11 November  hourly_counts    888    30.8 
-## 12 December  hourly_counts    216     7.26
-
-
-

Modelling missingness -

-

The final question we proposed in this vignette was:

-
    -
  1. Can we model missingness?
  2. -
-

Sometimes it can be impractical to explore all of the variables that -have missing data. One approach, however, is to model missing data using -methods from Tierney et el. (2015).

-

Here, the approach is to predict the proportion of missingness in a -given case, using all variables. There is a little helper function to -add a column with the proportion of cases or rows missing - -add_prop_miss(). This created a column named “prop_miss”, -which is the proportion of missing values in that row.

-
-airquality %>%
-  add_prop_miss() %>%
-  head()
-
##   Ozone Solar.R Wind Temp Month Day prop_miss_all
-## 1    41     190  7.4   67     5   1     0.0000000
-## 2    36     118  8.0   72     5   2     0.0000000
-## 3    12     149 12.6   74     5   3     0.0000000
-## 4    18     313 11.5   62     5   4     0.0000000
-## 5    NA      NA 14.3   56     5   5     0.3333333
-## 6    28      NA 14.9   66     5   6     0.1666667
-

We can then use a model like decision trees to predict which -variables and their values are important for predicting the proportion -of missingness:

-
-library(rpart)
-library(rpart.plot)
-
-airquality %>%
-  add_prop_miss() %>%
-  rpart(prop_miss_all ~ ., data = .) %>%
-  prp(type = 4, extra = 101, prefix = "Prop. Miss = ")
-
## Warning: Cannot retrieve the data used to build the model (so cannot determine roundint and is.binary for the variables).
-## To silence this warning:
-##     Call prp with roundint=FALSE,
-##     or rebuild the rpart model with model=TRUE.
-

-

Here we can see that this produces quite a complex tree - this can be -pruned back and the depth of the decision tree controlled.

-
-
-

Summary -

-

The tools in naniar help us identify where missingness -is, while maintaining a tidy workflow. We care about these mechanisms or -these patterns because they can help us understand potential mechanisms, -such as equipment failures, and then identify possible solutions based -upon this evidence.

-
-
-

Future development -

-
    -
  • Make naniar work with big data tools like -sparklyr, and sparklingwater.
  • -
  • Further develop methods for handling and visualising imputations, -and multiple imputation. Other plans to extend the -geom_miss_ family to include:
  • -
  • Categorical variables
  • -
  • Bivariate plots: scatterplots, density overlays
  • -
  • Provide tools for assessing goodness of fit for classical approaches -of MCAR, MAR, and MNAR (graphical inference from nullabor -package)
  • -
-
-
-

Thank you -

-

Firstly, thanks to Di Cook for giving the initial inspiration for the -package and laying down the rich theory and literature that the work in -naniar is built upon. Naming credit (once again!) goes to -Miles McBain. Among various other things, Miles also worked out how to -overload the missing data and make it work as a geom. Thanks also to -Colin Fay for helping me understand tidy evaluation and for features -such as replace_with_na, miss_*_cumsum, and -more.

-
-
-

References -

- -
-
-
- - - - -
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-
- - - -
-
- - - - -
-
-

-Introduction

-

Missing values are ubiquitous in data and need to be carefully explored and handled in the initial stages of analysis. In this vignette we describe the tools in the package narnia for exploring missing data structures with minimal deviation from the common workflows of ggplot and tidy data [@Wickham2014; @Wickham2009].

-

Sometimes researchers or analysts will introduce or describe a mechanism for missingness. For example, they might explain that data from a weather station might has a malfunction when there are extreme weather events, and does not record temperature data when gusts speeds are high. This seems like a nice simple, logical explanation. However, like all good explanations, this one is simple, but the process to get there, probably was not, and likely involved more time than you would have liked developing exploratory data analyses and models.

-

So when someone presents a really obvious plot like this, with a nice sensible explanation, the initial thought might be:

-
-

They worked it out themselves so quickly, so easy!

-
-

As if they somehow accidentally solved the problem, it was so easy. They couldn’t not solve it. However, I think that if you manage to get that on the first go, that is more like turning around and throwing a rock into a lake and it landing in a cup in a boat. Unlikely.

-

With that thought in mind, this vignette aims to work with the following three questions, using the tools developed in narnia and another package, visdat. Namely, how do we:

-
    -
  1. Start looking at missing data?
  2. -
  3. Explore missingness mechanisms?
  4. -
  5. Model missingness?
  6. -
-
-
-

-How do we start looking at missing data?

-

When you start with a dataset, you might do something where you look at the general summary, using functions such as:

- -

These works really well when you’ve got a small amount of data, but when you have more data, you are generally limited by how much you can read.

-

So before you start looking at missing data, you’ll need to look at the data, but what does that even mean?

-

The package visdat helps you get a handle on this. visdat provides a visualisation of an entire data frame at once, and was heavily inspired by csv-fingerprint, and the missingness map functions from packages like Amelia::missmap.

-

There are two main functions in the visdat package:

-
    -
  • -vis_dat, and
  • -
  • vis_miss
  • -
-
-

-vis_dat -

-
library(visdat)
-vis_dat(airquality)
-

-

These visualise the whole dataframe at once, and provide some useful information about whether the data is missing or not. It also provides information about the class of the data input into R.

-

The function vis_miss provides a summary of whether the data is all present, and also provides small summaries in each column as to the amount of missings in each of the columns.

-
-

-vis_miss -

-
vis_miss(airquality)
-

-

To read more about the functions available in visdat see the vignette “Using visdat”

-
-
-
-
-

-Exploring missingness relationships

-

We can identify key variables that are missing

-

For further exploration, we need to explore the relationship amongst the variables in this data:

-
    -
  • Ozone,
  • -
  • Solar.R
  • -
  • Wind
  • -
  • Temp
  • -
  • Month
  • -
  • Day
  • -
-

This process of visualising the data as a heatmap allows you identify what is missing and where. For here though, are interested in exploring these missingness relationships.

-

Typically, when exploring this data, you might want to explore the variables Solar.R and Ozone, and do something like this:

-
library(ggplot2)
-ggplot(airquality,
-       aes(x = Solar.R,
-           y = Ozone)) + 
-  geom_point()
-
## Warning: Removed 42 rows containing missing values (geom_point).
-

-

The problem with this is that ggplot does not handle missings be default, and removes the missing values. This makes them hard to explore.

-

Visualising missing data might sound a little strange - how do you visualise something that is not there? One approach to visualising missing data comes from ggobi and manet, where we replace “NA” values with values 10% lower than the minimum value in that variable. This is provided with the geom_miss_point() ggplot2 geom, which we can illustrate by exploring the relationship between Ozone and Solar radiation from the airquality dataset.

-
ggplot(airquality,
-       aes(x = Solar.R,
-           y = Ozone)) + 
-  geom_point()
-
## Warning: Removed 42 rows containing missing values (geom_point).
-
library(narnia)
-
-ggplot(airquality,
-       aes(x = Solar.R,
-           y = Ozone)) + 
-  geom_miss_point()
-

-

Facets!

-
ggplot(airquality,
-       aes(x = Solar.R,
-           y = Ozone)) + 
-  geom_miss_point() + 
-  facet_wrap(~Month)
-

-

Themes!

-
ggplot(airquality,
-       aes(x = Solar.R,
-           y = Ozone)) + 
-  geom_miss_point() + 
-  facet_wrap(~Month) + 
-  theme_dark()
-

-
-

-Visualising missings in variables

-

Another approach to visualising the missings in a dataset is to use the gg_miss_var plot:

-
gg_miss_var(airquality)
-

-

This creates a ggplot2 object with the number of missing values for each variable, ordered from most missing to least missing. Under the hood, this is powered using miss_var_summary(), described later.

-

The plots created with the gg_miss family all have a basic theme, but you can customise them, just like usual ggplot objects. If you call any ggplot customisation functions with a gg_miss object, the default args will be overridden.

-
gg_miss_var(airquality) + theme_bw() 
-

-
gg_miss_var(airquality) + labs(y = "Look at all the missing ones")
-

-
-
-
-

-shadow matrix: A tidy way of representing missing values

-

Representing missing data structure is achieved using the shadow matrix, introduced in Swayne and Buja. The shadow matrix is the same dimension as the data, and consists of binary indicators of missingness of data values, where missing is represented as “NA”, and not missing is represented as “!NA”. Although these may be represented as 1 and 0, respectively. This representation can be seen in the figure below, adding the suffix “_NA" to the variables. This structure can also be extended to allow for additional factor levels to be created. For example 0 indicates data presence, 1 indicates missing values, 2 indicates imputed value, and 3 might indicate a particular type or class of missingness, where reasons for missingness might be known or inferred. The data matrix can also be augmented to include the shadow matrix, which facilitates visualisation of univariate and bivariate missing data visualisations. Another format is to display it in long form, which facilitates heatmap style visualisations. This approach can be very helpful for giving an overview of which variables contain the most missingness. Methods can also be applied to rearrange rows and columns to find clusters, and identify other interesting features of the data that may have previously been hidden or unclear.

-

-

Illustration of data structures for facilitating visualisation of missings and not missings

-

The shadow functions provide a way to keep track of missing values. The as_shadow function creates a dataframe with the same set of columns, but with the column names added a suffix _NA

-
as_shadow(airquality)
-
## # A tibble: 153 x 6
-##    Ozone_NA Solar.R_NA Wind_NA Temp_NA Month_NA Day_NA
-##      <fctr>     <fctr>  <fctr>  <fctr>   <fctr> <fctr>
-##  1      !NA        !NA     !NA     !NA      !NA    !NA
-##  2      !NA        !NA     !NA     !NA      !NA    !NA
-##  3      !NA        !NA     !NA     !NA      !NA    !NA
-##  4      !NA        !NA     !NA     !NA      !NA    !NA
-##  5       NA         NA     !NA     !NA      !NA    !NA
-##  6      !NA         NA     !NA     !NA      !NA    !NA
-##  7      !NA        !NA     !NA     !NA      !NA    !NA
-##  8      !NA        !NA     !NA     !NA      !NA    !NA
-##  9      !NA        !NA     !NA     !NA      !NA    !NA
-## 10       NA        !NA     !NA     !NA      !NA    !NA
-## # ... with 143 more rows
-

The bind_shadow argument attaches a shadow to the current dataframe

-
aq_shadow <- bind_shadow(airquality)
-
-library(dplyr)
-
##
-## Attaching package: 'dplyr'
-
## The following objects are masked from 'package:stats':
-##
-##     filter, lag
-
## The following objects are masked from 'package:base':
-##
-##     intersect, setdiff, setequal, union
-
glimpse(aq_shadow)
-
## Observations: 153
-## Variables: 12
-## $ Ozone      <int> 41, 36, 12, 18, NA, 28, 23, 19, 8, NA, 7, 16, 11, 1...
-## $ Solar.R    <int> 190, 118, 149, 313, NA, NA, 299, 99, 19, 194, NA, 2...
-## $ Wind       <dbl> 7.4, 8.0, 12.6, 11.5, 14.3, 14.9, 8.6, 13.8, 20.1, ...
-## $ Temp       <int> 67, 72, 74, 62, 56, 66, 65, 59, 61, 69, 74, 69, 66,...
-## $ Month      <int> 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, ...
-## $ Day        <int> 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, ...
-## $ Ozone_NA   <fctr> !NA, !NA, !NA, !NA, NA, !NA, !NA, !NA, !NA, NA, !N...
-## $ Solar.R_NA <fctr> !NA, !NA, !NA, !NA, NA, NA, !NA, !NA, !NA, !NA, NA...
-## $ Wind_NA    <fctr> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, ...
-## $ Temp_NA    <fctr> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, ...
-## $ Month_NA   <fctr> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, ...
-## $ Day_NA     <fctr> !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, !NA, ...
-

Doing this provides a consistent syntax for referring to variables with missing values.

-

bind_shadow() also provides a useful pattern to explore missing values by grouping by the missing/complete of one variable and looking at the mean and other summary values. Below we show the mean, sd, variance, and min and max values of Solar.R for when Ozone is present, and when it is missing.

-
airquality %>%
-  bind_shadow() %>%
-  group_by(Ozone_NA) %>%
-  summarise_at(.vars = "Solar.R",
-               .funs = c("mean", "sd", "var", "min", "max"),
-               na.rm = TRUE)
-
## # A tibble: 2 x 6
-##   Ozone_NA     mean       sd      var   min   max
-##     <fctr>    <dbl>    <dbl>    <dbl> <dbl> <dbl>
-## 1      !NA 184.8018 91.15230 8308.742     7   334
-## 2       NA 189.5143 87.69478 7690.375    31   332
-

Below, we can plot the distribution of Temperature, plotting for values of temperature when Ozone is missing, and when it is not missing.

-
ggplot(aq_shadow,
-       aes(x = Temp,
-           colour = Ozone_NA)) + 
-  geom_density()
-

-

Binding the shadow here also has great benefits when combined with imputation.

-
-
-

-Visualising imputed values

-

Using the easy-to-use simputation package, we impute values for Ozone, then visualise the data:

-
library(simputation)
-library(dplyr)
-
-airquality %>%
-  impute_lm(Ozone ~ Temp + Wind) %>%
-  ggplot(aes(x = Temp,
-             y = Ozone)) + 
-  geom_point()
-

-

Note that we no longer get any errors regarding missing observations - because they are all imputed! But this comes at a cost: we also no longer have information about where the imputations are - they are now sort of invisible.

-

Using the shadow matrix to keep track of where the missings are, you can actually keep track of the imputations, by colouring by what was previously missing in Ozone.

-
aq_shadow %>%
-  impute_lm(Ozone ~ Temp + Wind) %>%
-  ggplot(aes(x = Temp,
-             y = Ozone,
-             colour = Ozone_NA)) + 
-  geom_point()
-

-
-

-Numerical summaries of missing values

-

narnia also provide numerical summaries for missing data. Two convenient counters of complete values and missings are n_miss and n_complete. These work on both dataframes and vectors, similar to dplyr::n_distinct

-
dplyr::n_distinct(airquality)
-
## [1] 153
-
dplyr::n_distinct(airquality$Ozone)
-
## [1] 68
-
n_miss(airquality)
-
## [1] 44
-
n_miss(airquality$Ozone)
-
## [1] 37
-
n_complete(airquality)
-
## [1] 874
-
n_complete(airquality$Ozone)
-
## [1] 116
-

The syntax for the other numerical sumamries in narnia are miss_, and then case, var, or df, and then summary or table. There are also some summary functions for ts objects that are being worked on, which currently have miss_ts_run and miss_ts_summary functions.

-

To demonstrate, below are the miss_case_* family of functions.

-

miss_case_pct returns a numeric value describing the percent of missing values in the dataframe.

-
miss_case_pct(airquality)
-
## [1] 27.45098
-

miss_case_summary returns a numeric value that describes the number of missings in a given case (aka row), the percent of missings in that row.

-
miss_case_summary(airquality)
-
## # A tibble: 153 x 3
-##     case n_miss  pct_miss
-##    <int>     <int>    <dbl>
-##  1     1         0  0.00000
-##  2     2         0  0.00000
-##  3     3         0  0.00000
-##  4     4         0  0.00000
-##  5     5         2 33.33333
-##  6     6         1 16.66667
-##  7     7         0  0.00000
-##  8     8         0  0.00000
-##  9     9         0  0.00000
-## 10    10         1 16.66667
-## # ... with 143 more rows
-

miss_case_table tabulates the number of missing values in a case / row. Below, this shows the number of missings in a case:

-
    -
  • There are 111 cases with 0 missings, which comprises about 72% of the data.
  • -
  • There are then 40 cases with 1 missing, these make up 26% of the data.
  • -
  • There are then 2 cases with 2 missing - these make up 1% of the data.
  • -
-
miss_case_table(airquality)
-
## # A tibble: 3 x 3
-##   n_miss_in_case n_cases  pct_miss
-##               <int>   <int>    <dbl>
-## 1                 0     111 72.54902
-## 2                 1      40 26.14379
-## 3                 2       2  1.30719
-

There are then the miss_var_* family of functions.

-

Similar to miss_case_pct, miss_var_pct returns the percent of variables that contain a missing value.

-
miss_var_pct(airquality)
-
## [1] 33.33333
-

miss_var_summary then returns the number of missing values in a variable, and the percent missing in that variable.

-
miss_var_summary(airquality)
-
## # A tibble: 6 x 3
-##   variable n_miss   pct_miss
-##      <chr>     <int>     <dbl>
-## 1    Ozone        37 24.183007
-## 2  Solar.R         7  4.575163
-## 3     Wind         0  0.000000
-## 4     Temp         0  0.000000
-## 5    Month         0  0.000000
-## 6      Day         0  0.000000
-

Finally, miss_var_table. This describes the number of missings in a variable.

-
    -
  • There are 4 variables with 0 missings, comprising 66.67% of variables in the dataset.
  • -
  • There is 1 variable with 7 missings
  • -
  • There is 1 variable with 37 missings
  • -
-
miss_var_table(airquality)
-
## # A tibble: 3 x 3
-##   n_miss_in_var n_vars  pct_miss
-##              <int>  <int>    <dbl>
-## 1                0      4 66.66667
-## 2                7      1 16.66667
-## 3               37      1 16.66667
-

There are also summary functions for exploring missings that occur over a particular span or period of the dataset, or the number of missings in a single run:

- -

miss_var_run can be particularly useful in time series data, as it allows you to provide summaries for the number of missings or complete values in a single run. The function miss_var_run() provides a data.frame of the run length of missings and complete values. To explore this function we will use the built-in dataset, pedestrian, which contains hourly counts of pedestrians from four locations around Melbourne, Australia, from 2016.

-

To use miss_var_run, you specify the variable that you want to explore the runs of missingness for, in this case, hourly_counts:

-
miss_var_run(pedestrian,
-             hourly_counts)
-
## # A tibble: 35 x 2
-##    run_length    is_na
-##         <int>    <chr>
-##  1       6628 complete
-##  2          1  missing
-##  3       5250 complete
-##  4        624  missing
-##  5       3652 complete
-##  6          1  missing
-##  7       1290 complete
-##  8        744  missing
-##  9       7420 complete
-## 10          1  missing
-## # ... with 25 more rows
-

miss_var_span() is used to determine the number of missings over a specified repeating span of rows in variable of a dataframe. Similar to miss_var_run, you specify the variable that you wish to explore, you then also specify the size of the span with the span_every argument.

-
miss_var_span(pedestrian,
-              hourly_counts,
-              span_every = 100)
-
## # A tibble: 377 x 5
-##    span_counter n_miss n_complete prop_miss prop_complete
-##           <int>  <int>      <dbl>     <dbl>         <dbl>
-##  1            1      0        100         0             1
-##  2            2      0        100         0             1
-##  3            3      0        100         0             1
-##  4            4      0        100         0             1
-##  5            5      0        100         0             1
-##  6            6      0        100         0             1
-##  7            7      0        100         0             1
-##  8            8      0        100         0             1
-##  9            9      0        100         0             1
-## 10           10      0        100         0             1
-## # ... with 367 more rows
-

The final question we proposed in this vignette was:

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    -
  1. Can we model missingness?
  2. -
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Sometimes it can be impractical to explore all of the variables that have missing data. One approach, however, is to model missing data using methods from Tierney et el. (2015).

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Here, the approach is to predict the proportion of missingness in a given case, using all variables. There is a little helper function to add a column with the proportion of cases or rows missing - add_prop_miss. This created a column named “prop_miss”, which is the proportion of missing values in that row.

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airquality %>%
-  add_prop_miss() %>%
-  head()
-
## # A tibble: 6 x 7
-##   Ozone Solar.R  Wind  Temp Month   Day prop_miss_all
-##   <int>   <int> <dbl> <int> <int> <int>         <dbl>
-## 1    41     190   7.4    67     5     1     0.0000000
-## 2    36     118   8.0    72     5     2     0.0000000
-## 3    12     149  12.6    74     5     3     0.0000000
-## 4    18     313  11.5    62     5     4     0.0000000
-## 5    NA      NA  14.3    56     5     5     0.3333333
-## 6    28      NA  14.9    66     5     6     0.1666667
-

We can then use a model like decision trees to predict which variables and their values are important for predicting the proportion of missingness:

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library(rpart)
-library(rpart.plot)
-
-airquality %>%
-  add_prop_miss() %>%
-  rpart(prop_miss_all ~ ., data = .) %>%
-  prp(type = 4, extra = 101, prefix = "Prop. Miss = ")
-

-
# library(visdat)
-# vis_miss(messy_airquality)
-

Here we can see that this produces quite a complex tree - this can be pruned back and the depth of the decision tree controlled.

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-
-
-

-Summary

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The tools in narnia help us identify where missingness is, while maintaining a tidy workflow. We care about these mechanisms or these patterns because they can help us understand potential mechanisms, such as equipment failures, and then identify possible solutions based upon this evidence.

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-
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-Future development

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    -
  • Continue making narnia play well with dplyr and tidyr.
  • -
  • Make narnia work with big data tools like sparklyr, and sparklingwater.
  • -
  • Expand ggplot geom_miss_* family.
  • -
  • Further develop methods for handling and visualising imputations, and multiple imputation.
  • -
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-Thank you

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A huge thanks of course to Di Cook and Miles McBain for their assistance on this project, and its development. In particular, I thank Di for providing the large conceptual ideas of how to display missings, and the use of the shadow matrix. I also thank Miles for his instrumental work in getting stat_missing_point and geom_miss_point() working as they do now.

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-References

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