ggscatterstats

Indrajeet Patil

2019-10-16

Source: vignettes/web_only/ggscatterstats.Rmd

The function ggstatsplot::ggscatterstats is meant to provide a publication-ready scatterplot with all statistical details included in the plot itself to show association between two continuous variables. This function is also helpful during the data exploration phase. We will see examples of how to use this function in this vignette with the ggplot2movies dataset.

To begin with, here are some instances where you would want to use ggscatterstats-

  • to check linear association between two continuous variables
  • to check distribution of two continuous variables

Note before: The following demo uses the pipe operator (%>%), so in case you are not familiar with this operator, here is a good explanation: http://r4ds.had.co.nz/pipes.html

Correlation plot with ggscatterstats

To illustrate how this function can be used, we will rely on the ggplot2movies dataset. This dataset provides information about movies scraped from IMDB. Specifically, we will be using cleaned version of this dataset included in the ggstatsplot package itself.

Now that we have a clean dataset, we can start asking some interesting questions. For example, let’s see if the average IMDB rating for a movie has any relationship to its budget. Additionally, let’s also see which movies had a high budget but low IMDB rating by labeling those data points.

To reduce the processing time, let’s only work with 30% of the dataset.

There is indeed a small, but significant, positive correlation between the amount of money studio invests in a movie and the ratings given by the audiences.

The type (of test) argument also accepts the following abbreviations: "p" (for parametric/pearson’s), "np" (for nonparametric/spearman), "r" (for robust).

Important: In contrast to all other functions in this package, the ggscatterstats function returns object that is not further modifiable with ggplot2. This can be avoided by not plotting the marginal distributions (marginal = FALSE). Currently trying to find a workaround this problem.

Grouped analysis with grouped_ggscatterstats

What if we want to do the same analysis do the same analysis for movies with different MPAA (Motion Picture Association of America) film ratings (NC-17, PG, PG-13, R)?

ggstatsplot provides a special helper function for such instances: grouped_ggstatsplot. This is merely a wrapper function around ggstatsplot::combine_plots. It applies ggstatsplot across all levels of a specified grouping variable and then combines list of individual plots into a single plot. Note that the grouping variable can be anything: conditions in a given study, groups in a study sample, different studies, etc.

Let’s see how we can use this function to apply ggscatterstats for all MPAA ratings. We will be running parametric tests (Pearson’s r, i.e.).
(If you set type = "np" or type = "r", results from non-parametric or robust test will be displayed.)

As seen from the plot, this analysis has revealed something interesting: The relationship we found between budget and IMDB rating holds only for PG-13 and R-rated movies.

Grouped analysis with ggscatterstats + purrr

Although this is a quick and dirty way to explore large amount of data with minimal effort, it does come with an important limitation: reduced flexibility. For example, if we wanted to add, let’s say, a separate type of marginal distribution plot for each MPAA rating or if we wanted to use different types of correlations across different levels of MPAA ratings (NC-17 has only 6 movies, so a robust correlation would be a good idea), this is not possible. But this can be easily done using purrr.

See the associated vignette here: https://indrajeetpatil.github.io/ggstatsplot/articles/web_only/purrr_examples.html

Summary of tests

Following tests are carried out for each type of analyses. Additionally, the correlation coefficients (and their confidence intervals) are used as effect sizes-

Type Test CI?
Parametric Pearson’s correlation coefficient Yes
Non-parametric Spearman’s rank correlation coefficient Yes
Robust Percentage bend correlation coefficient Yes
Bayes Factor Pearson’s correlation coefficient No

Effect size interpretation

To see how the effect sizes displayed in these tests can be interpreted, see: https://indrajeetpatil.github.io/ggstatsplot/articles/web_only/effsize_interpretation.html

Different smoothing methods

Additionally, different smoothing methods can be specified. For example, if a robust correlation (percentage bend correlation coefficient) is used, we can use a robust smoothing function (MASS::rlm). Additionally, we can also specify different formulas to use for smoothing function. It is important that you set results.subtitle = FALSE since the results will no longer be relevant for the smoothing function used. Below, four different examples are given for how to use different smoothing functions.

library(mgcv)

# for reproducibility
set.seed(123)

# creating a list of plots with different smoothing functions
plot_list2 <- purrr::pmap(
  .l = list(
    # let's use only 5% of the data to speed up the calculations
    data = list(dplyr::sample_frac(tbl = ggstatsplot::movies_wide, size = 0.05)),
    x = "budget",
    y = "rating",
    title = list(
      "Robust linear model using an M estimator (rlm)",
      "Generalized additive model (GAM) with a penalized smoother",
      "Local Polynomial Regression Fitting",
      "Quadratic fit"
    ),
    method = list(MASS::rlm, 
                  "gam", 
                  "loess", 
                  "lm"),
    formula = list(y ~ x, 
                   y ~ s(x, k = 3), 
                   y ~ x, 
                   y ~ x + I(x ^ 2)),
    line.color = list("#009E73", "#F0E442", "#0072B2", "#D55E00"),
    marginal = FALSE,
    messages = FALSE
  ),
  .f = ggstatsplot::ggscatterstats
)
#> Warning: The statistical analysis is available only for linear model
#> (formula = y ~ x, method = 'lm'). Returning only the plot.
#> Warning: The statistical analysis is available only for linear model
#> (formula = y ~ x, method = 'lm'). Returning only the plot.
#> Warning: The statistical analysis is available only for linear model
#> (formula = y ~ x, method = 'lm'). Returning only the plot.
#> Warning: The statistical analysis is available only for linear model
#> (formula = y ~ x, method = 'lm'). Returning only the plot.

# combining all individual plots from the list into a single plot using combine_plots function
ggstatsplot::combine_plots(
  plotlist = plot_list2,
  title.text = "Trying out different smoothing functions with ggscatterstats",
  caption.text = "Source: www.imdb.com",
  nrow = 2,
  ncol = 2,
  labels = c("(a)", "(b)", "(c)", "(d)")
)

Suggestions

If you find any bugs or have any suggestions/remarks, please file an issue on GitHub: https://github.com/IndrajeetPatil/ggstatsplot/issues