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Exploratory data analysis: correlation

Source: R/eda.R
eda_correlation.Rd

Compute and visualize correlations between variables.

Usage

eda_correlation(
  data,
  variables = NULL,
  correlation_type = "pearson",
  correlation_args = list(),
  ggcorr_args = list(label = TRUE, label_size = 2, low = yougov_colors[["Blue 1"]], mid =
    "white", high = yougov_colors[["Red 1"]])
)

Arguments

data

A data frame.

variables

Optional. A character vector of variable names to include in the correlation analysis. If NULL, all variables are used.

correlation_type

Optional. Can be "pearson", "spearman", or "tetrachoric" (useful if variables are binary) among others. Check method argument in correlation::correlation() to see all options. Defaults to "pearson".

correlation_args

Optional. A list of additional arguments passed to correlation::correlation().

ggcorr_args

Optional. A list of arguments passed to GGally::ggcorr().

Value

A list with two elements: d, the correlation data frame, and p, a ggplot object visualizing the correlation matrix.

Examples

# Compute and visualize correlations for all variables in the data
eda_correlation(bkw_processed)
#> $d
#> # Correlation Matrix (pearson-method)
#> 
#> Parameter1 | Parameter2 |    r |       95% CI | t(1169) |         p
#> -------------------------------------------------------------------
#> F600       |     F800_1 | 0.34 | [0.29, 0.39] |   12.43 | < .001***
#> F600       |     F800_2 | 0.44 | [0.39, 0.48] |   16.68 | < .001***
#> F600       |     F800_3 | 0.41 | [0.37, 0.46] |   15.58 | < .001***
#> F600       |     F800_4 | 0.47 | [0.42, 0.51] |   18.21 | < .001***
#> F600       |     F800_5 | 0.43 | [0.38, 0.48] |   16.36 | < .001***
#> F600       |     F800_6 | 0.37 | [0.32, 0.42] |   13.58 | < .001***
#> F600       |     F800_7 | 0.42 | [0.37, 0.46] |   15.66 | < .001***
#> F600       |     F800_8 | 0.45 | [0.40, 0.49] |   17.12 | < .001***
#> F600       |     F800_9 | 0.49 | [0.44, 0.53] |   19.17 | < .001***
#> F600       |    F800_10 | 0.38 | [0.33, 0.43] |   14.02 | < .001***
#> F600       |    F800_11 | 0.38 | [0.33, 0.43] |   14.18 | < .001***
#> F600       |    F800_12 | 0.48 | [0.44, 0.53] |   18.91 | < .001***
#> F600       |    F800_13 | 0.41 | [0.36, 0.46] |   15.30 | < .001***
#> F600       |    F800_14 | 0.38 | [0.33, 0.43] |   14.18 | < .001***
#> F800_1     |     F800_2 | 0.56 | [0.52, 0.60] |   23.25 | < .001***
#> F800_1     |     F800_3 | 0.61 | [0.57, 0.64] |   26.16 | < .001***
#> F800_1     |     F800_4 | 0.54 | [0.50, 0.58] |   21.99 | < .001***
#> F800_1     |     F800_5 | 0.51 | [0.46, 0.55] |   20.13 | < .001***
#> F800_1     |     F800_6 | 0.55 | [0.51, 0.59] |   22.57 | < .001***
#> F800_1     |     F800_7 | 0.50 | [0.45, 0.54] |   19.69 | < .001***
#> F800_1     |     F800_8 | 0.52 | [0.48, 0.56] |   20.91 | < .001***
#> F800_1     |     F800_9 | 0.47 | [0.43, 0.51] |   18.27 | < .001***
#> F800_1     |    F800_10 | 0.59 | [0.55, 0.62] |   24.70 | < .001***
#> F800_1     |    F800_11 | 0.33 | [0.28, 0.38] |   11.93 | < .001***
#> F800_1     |    F800_12 | 0.45 | [0.40, 0.49] |   17.07 | < .001***
#> F800_1     |    F800_13 | 0.38 | [0.33, 0.43] |   13.98 | < .001***
#> F800_1     |    F800_14 | 0.35 | [0.30, 0.40] |   12.63 | < .001***
#> F800_2     |     F800_3 | 0.54 | [0.50, 0.58] |   21.98 | < .001***
#> F800_2     |     F800_4 | 0.60 | [0.56, 0.63] |   25.57 | < .001***
#> F800_2     |     F800_5 | 0.54 | [0.50, 0.58] |   22.11 | < .001***
#> F800_2     |     F800_6 | 0.66 | [0.62, 0.69] |   29.66 | < .001***
#> F800_2     |     F800_7 | 0.65 | [0.62, 0.68] |   29.49 | < .001***
#> F800_2     |     F800_8 | 0.56 | [0.52, 0.60] |   23.31 | < .001***
#> F800_2     |     F800_9 | 0.57 | [0.53, 0.61] |   23.93 | < .001***
#> F800_2     |    F800_10 | 0.58 | [0.54, 0.62] |   24.43 | < .001***
#> F800_2     |    F800_11 | 0.51 | [0.46, 0.55] |   20.14 | < .001***
#> F800_2     |    F800_12 | 0.57 | [0.53, 0.61] |   23.57 | < .001***
#> F800_2     |    F800_13 | 0.53 | [0.48, 0.57] |   21.14 | < .001***
#> F800_2     |    F800_14 | 0.45 | [0.40, 0.50] |   17.26 | < .001***
#> F800_3     |     F800_4 | 0.59 | [0.56, 0.63] |   25.26 | < .001***
#> F800_3     |     F800_5 | 0.51 | [0.47, 0.55] |   20.33 | < .001***
#> F800_3     |     F800_6 | 0.53 | [0.49, 0.57] |   21.62 | < .001***
#> F800_3     |     F800_7 | 0.49 | [0.44, 0.53] |   19.04 | < .001***
#> F800_3     |     F800_8 | 0.54 | [0.49, 0.57] |   21.67 | < .001***
#> F800_3     |     F800_9 | 0.50 | [0.46, 0.54] |   19.82 | < .001***
#> F800_3     |    F800_10 | 0.63 | [0.59, 0.66] |   27.49 | < .001***
#> F800_3     |    F800_11 | 0.42 | [0.37, 0.46] |   15.62 | < .001***
#> F800_3     |    F800_12 | 0.56 | [0.52, 0.60] |   23.16 | < .001***
#> F800_3     |    F800_13 | 0.38 | [0.33, 0.43] |   14.21 | < .001***
#> F800_3     |    F800_14 | 0.45 | [0.40, 0.49] |   17.07 | < .001***
#> F800_4     |     F800_5 | 0.58 | [0.54, 0.62] |   24.52 | < .001***
#> F800_4     |     F800_6 | 0.58 | [0.55, 0.62] |   24.65 | < .001***
#> F800_4     |     F800_7 | 0.60 | [0.56, 0.63] |   25.44 | < .001***
#> F800_4     |     F800_8 | 0.70 | [0.67, 0.73] |   33.43 | < .001***
#> F800_4     |     F800_9 | 0.57 | [0.53, 0.61] |   23.93 | < .001***
#> F800_4     |    F800_10 | 0.55 | [0.51, 0.59] |   22.79 | < .001***
#> F800_4     |    F800_11 | 0.50 | [0.45, 0.54] |   19.60 | < .001***
#> F800_4     |    F800_12 | 0.57 | [0.53, 0.61] |   23.62 | < .001***
#> F800_4     |    F800_13 | 0.48 | [0.44, 0.52] |   18.82 | < .001***
#> F800_4     |    F800_14 | 0.46 | [0.41, 0.50] |   17.63 | < .001***
#> F800_5     |     F800_6 | 0.53 | [0.49, 0.57] |   21.29 | < .001***
#> F800_5     |     F800_7 | 0.60 | [0.56, 0.63] |   25.50 | < .001***
#> F800_5     |     F800_8 | 0.62 | [0.59, 0.66] |   27.27 | < .001***
#> F800_5     |     F800_9 | 0.57 | [0.53, 0.61] |   23.58 | < .001***
#> F800_5     |    F800_10 | 0.51 | [0.47, 0.55] |   20.38 | < .001***
#> F800_5     |    F800_11 | 0.46 | [0.41, 0.50] |   17.63 | < .001***
#> F800_5     |    F800_12 | 0.49 | [0.45, 0.54] |   19.44 | < .001***
#> F800_5     |    F800_13 | 0.63 | [0.59, 0.66] |   27.55 | < .001***
#> F800_5     |    F800_14 | 0.47 | [0.42, 0.51] |   18.22 | < .001***
#> F800_6     |     F800_7 | 0.59 | [0.55, 0.63] |   24.93 | < .001***
#> F800_6     |     F800_8 | 0.57 | [0.53, 0.61] |   23.75 | < .001***
#> F800_6     |     F800_9 | 0.52 | [0.48, 0.56] |   20.86 | < .001***
#> F800_6     |    F800_10 | 0.58 | [0.54, 0.62] |   24.42 | < .001***
#> F800_6     |    F800_11 | 0.47 | [0.43, 0.52] |   18.35 | < .001***
#> F800_6     |    F800_12 | 0.54 | [0.50, 0.58] |   22.17 | < .001***
#> F800_6     |    F800_13 | 0.49 | [0.44, 0.53] |   19.07 | < .001***
#> F800_6     |    F800_14 | 0.47 | [0.42, 0.51] |   17.99 | < .001***
#> F800_7     |     F800_8 | 0.60 | [0.56, 0.63] |   25.48 | < .001***
#> F800_7     |     F800_9 | 0.58 | [0.54, 0.62] |   24.37 | < .001***
#> F800_7     |    F800_10 | 0.51 | [0.47, 0.55] |   20.32 | < .001***
#> F800_7     |    F800_11 | 0.45 | [0.41, 0.50] |   17.46 | < .001***
#> F800_7     |    F800_12 | 0.52 | [0.47, 0.56] |   20.63 | < .001***
#> F800_7     |    F800_13 | 0.54 | [0.50, 0.58] |   22.22 | < .001***
#> F800_7     |    F800_14 | 0.45 | [0.40, 0.50] |   17.26 | < .001***
#> F800_8     |     F800_9 | 0.59 | [0.55, 0.63] |   24.94 | < .001***
#> F800_8     |    F800_10 | 0.51 | [0.46, 0.55] |   20.11 | < .001***
#> F800_8     |    F800_11 | 0.49 | [0.44, 0.53] |   19.17 | < .001***
#> F800_8     |    F800_12 | 0.55 | [0.51, 0.59] |   22.46 | < .001***
#> F800_8     |    F800_13 | 0.56 | [0.51, 0.59] |   22.82 | < .001***
#> F800_8     |    F800_14 | 0.44 | [0.40, 0.49] |   16.97 | < .001***
#> F800_9     |    F800_10 | 0.49 | [0.45, 0.54] |   19.47 | < .001***
#> F800_9     |    F800_11 | 0.49 | [0.45, 0.53] |   19.22 | < .001***
#> F800_9     |    F800_12 | 0.63 | [0.60, 0.66] |   27.86 | < .001***
#> F800_9     |    F800_13 | 0.55 | [0.51, 0.59] |   22.55 | < .001***
#> F800_9     |    F800_14 | 0.47 | [0.42, 0.51] |   18.20 | < .001***
#> F800_10    |    F800_11 | 0.41 | [0.37, 0.46] |   15.55 | < .001***
#> F800_10    |    F800_12 | 0.56 | [0.52, 0.59] |   22.87 | < .001***
#> F800_10    |    F800_13 | 0.44 | [0.39, 0.48] |   16.73 | < .001***
#> F800_10    |    F800_14 | 0.40 | [0.35, 0.45] |   14.98 | < .001***
#> F800_11    |    F800_12 | 0.48 | [0.43, 0.52] |   18.48 | < .001***
#> F800_11    |    F800_13 | 0.48 | [0.43, 0.52] |   18.55 | < .001***
#> F800_11    |    F800_14 | 0.45 | [0.40, 0.49] |   17.09 | < .001***
#> F800_12    |    F800_13 | 0.49 | [0.44, 0.53] |   19.14 | < .001***
#> F800_12    |    F800_14 | 0.47 | [0.43, 0.52] |   18.35 | < .001***
#> F800_13    |    F800_14 | 0.43 | [0.38, 0.47] |   16.10 | < .001***
#> 
#> p-value adjustment method: Holm (1979)
#> Observations: 1171
#> 
#> $p

#> 
# Compute and visualize correlations for a subset of variables
eda_correlation(bkw_processed, variables = c("F600", "F800_1", "F800_2", "F800_3", "F800_4", "F800_5"))
#> $d
#> # Correlation Matrix (pearson-method)
#> 
#> Parameter1 | Parameter2 |    r |       95% CI | t(1169) |         p
#> -------------------------------------------------------------------
#> F600       |     F800_1 | 0.34 | [0.29, 0.39] |   12.43 | < .001***
#> F600       |     F800_2 | 0.44 | [0.39, 0.48] |   16.68 | < .001***
#> F600       |     F800_3 | 0.41 | [0.37, 0.46] |   15.58 | < .001***
#> F600       |     F800_4 | 0.47 | [0.42, 0.51] |   18.21 | < .001***
#> F600       |     F800_5 | 0.43 | [0.38, 0.48] |   16.36 | < .001***
#> F800_1     |     F800_2 | 0.56 | [0.52, 0.60] |   23.25 | < .001***
#> F800_1     |     F800_3 | 0.61 | [0.57, 0.64] |   26.16 | < .001***
#> F800_1     |     F800_4 | 0.54 | [0.50, 0.58] |   21.99 | < .001***
#> F800_1     |     F800_5 | 0.51 | [0.46, 0.55] |   20.13 | < .001***
#> F800_2     |     F800_3 | 0.54 | [0.50, 0.58] |   21.98 | < .001***
#> F800_2     |     F800_4 | 0.60 | [0.56, 0.63] |   25.57 | < .001***
#> F800_2     |     F800_5 | 0.54 | [0.50, 0.58] |   22.11 | < .001***
#> F800_3     |     F800_4 | 0.59 | [0.56, 0.63] |   25.26 | < .001***
#> F800_3     |     F800_5 | 0.51 | [0.47, 0.55] |   20.33 | < .001***
#> F800_4     |     F800_5 | 0.58 | [0.54, 0.62] |   24.52 | < .001***
#> 
#> p-value adjustment method: Holm (1979)
#> Observations: 1171
#> 
#> $p

#> 
# Use e.g. `correlation_type = "tetrachoric"` if variables are binary
eda_correlation(bkw_bin, correlation_type = "tetrachoric")
#> $d
#> # Correlation Matrix (tetrachoric-method)
#> 
#> Parameter1 | Parameter2 |  rho |       95% CI | t(1169) |         p
#> -------------------------------------------------------------------
#> F600       |     F800_1 | 0.40 | [0.35, 0.44] |   14.73 | < .001***
#> F600       |     F800_2 | 0.47 | [0.42, 0.51] |   18.21 | < .001***
#> F600       |     F800_3 | 0.57 | [0.53, 0.61] |   23.89 | < .001***
#> F600       |     F800_4 | 0.47 | [0.43, 0.52] |   18.43 | < .001***
#> F600       |     F800_5 | 0.48 | [0.44, 0.53] |   18.89 | < .001***
#> F600       |     F800_6 | 0.41 | [0.37, 0.46] |   15.55 | < .001***
#> F600       |     F800_7 | 0.40 | [0.35, 0.44] |   14.72 | < .001***
#> F600       |     F800_8 | 0.53 | [0.49, 0.57] |   21.46 | < .001***
#> F600       |     F800_9 | 0.47 | [0.42, 0.51] |   18.13 | < .001***
#> F600       |    F800_10 | 0.43 | [0.39, 0.48] |   16.49 | < .001***
#> F600       |    F800_11 | 0.35 | [0.30, 0.40] |   12.84 | < .001***
#> F600       |    F800_12 | 0.39 | [0.34, 0.44] |   14.44 | < .001***
#> F600       |    F800_13 | 0.45 | [0.41, 0.50] |   17.35 | < .001***
#> F600       |    F800_14 | 0.45 | [0.41, 0.50] |   17.37 | < .001***
#> F800_1     |     F800_2 | 0.77 | [0.74, 0.79] |   40.75 | < .001***
#> F800_1     |     F800_3 | 0.69 | [0.66, 0.72] |   32.78 | < .001***
#> F800_1     |     F800_4 | 0.73 | [0.70, 0.75] |   36.34 | < .001***
#> F800_1     |     F800_5 | 0.64 | [0.61, 0.68] |   28.68 | < .001***
#> F800_1     |     F800_6 | 0.65 | [0.61, 0.68] |   29.04 | < .001***
#> F800_1     |     F800_7 | 0.66 | [0.63, 0.69] |   30.32 | < .001***
#> F800_1     |     F800_8 | 0.65 | [0.62, 0.69] |   29.56 | < .001***
#> F800_1     |     F800_9 | 0.66 | [0.63, 0.69] |   29.97 | < .001***
#> F800_1     |    F800_10 | 0.64 | [0.61, 0.68] |   28.81 | < .001***
#> F800_1     |    F800_11 | 0.45 | [0.40, 0.49] |   17.09 | < .001***
#> F800_1     |    F800_12 | 0.58 | [0.55, 0.62] |   24.62 | < .001***
#> F800_1     |    F800_13 | 0.46 | [0.41, 0.50] |   17.69 | < .001***
#> F800_1     |    F800_14 | 0.43 | [0.39, 0.48] |   16.47 | < .001***
#> F800_2     |     F800_3 | 0.70 | [0.67, 0.73] |   33.31 | < .001***
#> F800_2     |     F800_4 | 0.65 | [0.62, 0.69] |   29.60 | < .001***
#> F800_2     |     F800_5 | 0.63 | [0.59, 0.66] |   27.42 | < .001***
#> F800_2     |     F800_6 | 0.70 | [0.67, 0.73] |   33.68 | < .001***
#> F800_2     |     F800_7 | 0.76 | [0.73, 0.78] |   39.81 | < .001***
#> F800_2     |     F800_8 | 0.59 | [0.55, 0.63] |   25.17 | < .001***
#> F800_2     |     F800_9 | 0.68 | [0.64, 0.71] |   31.36 | < .001***
#> F800_2     |    F800_10 | 0.73 | [0.70, 0.76] |   36.45 | < .001***
#> F800_2     |    F800_11 | 0.57 | [0.53, 0.60] |   23.44 | < .001***
#> F800_2     |    F800_12 | 0.62 | [0.59, 0.66] |   27.20 | < .001***
#> F800_2     |    F800_13 | 0.54 | [0.50, 0.58] |   21.94 | < .001***
#> F800_2     |    F800_14 | 0.53 | [0.49, 0.57] |   21.56 | < .001***
#> F800_3     |     F800_4 | 0.70 | [0.67, 0.73] |   33.61 | < .001***
#> F800_3     |     F800_5 | 0.62 | [0.59, 0.66] |   27.33 | < .001***
#> F800_3     |     F800_6 | 0.72 | [0.69, 0.74] |   35.24 | < .001***
#> F800_3     |     F800_7 | 0.70 | [0.67, 0.73] |   33.91 | < .001***
#> F800_3     |     F800_8 | 0.68 | [0.65, 0.71] |   31.92 | < .001***
#> F800_3     |     F800_9 | 0.66 | [0.63, 0.69] |   30.03 | < .001***
#> F800_3     |    F800_10 | 0.71 | [0.69, 0.74] |   34.89 | < .001***
#> F800_3     |    F800_11 | 0.45 | [0.41, 0.50] |   17.46 | < .001***
#> F800_3     |    F800_12 | 0.64 | [0.60, 0.67] |   28.38 | < .001***
#> F800_3     |    F800_13 | 0.55 | [0.51, 0.59] |   22.61 | < .001***
#> F800_3     |    F800_14 | 0.57 | [0.53, 0.61] |   23.85 | < .001***
#> F800_4     |     F800_5 | 0.63 | [0.59, 0.66] |   27.67 | < .001***
#> F800_4     |     F800_6 | 0.75 | [0.73, 0.78] |   39.33 | < .001***
#> F800_4     |     F800_7 | 0.70 | [0.67, 0.73] |   33.84 | < .001***
#> F800_4     |     F800_8 | 0.76 | [0.74, 0.78] |   40.21 | < .001***
#> F800_4     |     F800_9 | 0.52 | [0.47, 0.56] |   20.68 | < .001***
#> F800_4     |    F800_10 | 0.63 | [0.60, 0.67] |   28.03 | < .001***
#> F800_4     |    F800_11 | 0.44 | [0.39, 0.49] |   16.77 | < .001***
#> F800_4     |    F800_12 | 0.57 | [0.53, 0.61] |   23.82 | < .001***
#> F800_4     |    F800_13 | 0.37 | [0.32, 0.42] |   13.79 | < .001***
#> F800_4     |    F800_14 | 0.50 | [0.46, 0.54] |   19.86 | < .001***
#> F800_5     |     F800_6 | 0.70 | [0.67, 0.73] |   33.42 | < .001***
#> F800_5     |     F800_7 | 0.69 | [0.66, 0.72] |   32.90 | < .001***
#> F800_5     |     F800_8 | 0.71 | [0.68, 0.73] |   34.20 | < .001***
#> F800_5     |     F800_9 | 0.58 | [0.54, 0.62] |   24.48 | < .001***
#> F800_5     |    F800_10 | 0.66 | [0.63, 0.70] |   30.44 | < .001***
#> F800_5     |    F800_11 | 0.43 | [0.38, 0.48] |   16.36 | < .001***
#> F800_5     |    F800_12 | 0.50 | [0.45, 0.54] |   19.52 | < .001***
#> F800_5     |    F800_13 | 0.59 | [0.56, 0.63] |   25.28 | < .001***
#> F800_5     |    F800_14 | 0.44 | [0.40, 0.49] |   16.97 | < .001***
#> F800_6     |     F800_7 | 0.78 | [0.76, 0.81] |   43.32 | < .001***
#> F800_6     |     F800_8 | 0.72 | [0.69, 0.75] |   35.31 | < .001***
#> F800_6     |     F800_9 | 0.54 | [0.49, 0.58] |   21.70 | < .001***
#> F800_6     |    F800_10 | 0.60 | [0.56, 0.63] |   25.43 | < .001***
#> F800_6     |    F800_11 | 0.40 | [0.35, 0.44] |   14.70 | < .001***
#> F800_6     |    F800_12 | 0.57 | [0.53, 0.60] |   23.54 | < .001***
#> F800_6     |    F800_13 | 0.46 | [0.41, 0.50] |   17.74 | < .001***
#> F800_6     |    F800_14 | 0.56 | [0.52, 0.60] |   22.99 | < .001***
#> F800_7     |     F800_8 | 0.67 | [0.64, 0.70] |   31.18 | < .001***
#> F800_7     |     F800_9 | 0.72 | [0.69, 0.75] |   35.49 | < .001***
#> F800_7     |    F800_10 | 0.60 | [0.56, 0.64] |   25.65 | < .001***
#> F800_7     |    F800_11 | 0.45 | [0.40, 0.49] |   17.00 | < .001***
#> F800_7     |    F800_12 | 0.56 | [0.52, 0.60] |   23.34 | < .001***
#> F800_7     |    F800_13 | 0.50 | [0.45, 0.54] |   19.69 | < .001***
#> F800_7     |    F800_14 | 0.55 | [0.51, 0.59] |   22.66 | < .001***
#> F800_8     |     F800_9 | 0.60 | [0.56, 0.64] |   25.75 | < .001***
#> F800_8     |    F800_10 | 0.51 | [0.47, 0.55] |   20.43 | < .001***
#> F800_8     |    F800_11 | 0.48 | [0.44, 0.52] |   18.72 | < .001***
#> F800_8     |    F800_12 | 0.53 | [0.49, 0.57] |   21.29 | < .001***
#> F800_8     |    F800_13 | 0.47 | [0.42, 0.51] |   18.10 | < .001***
#> F800_8     |    F800_14 | 0.55 | [0.51, 0.59] |   22.50 | < .001***
#> F800_9     |    F800_10 | 0.68 | [0.64, 0.71] |   31.41 | < .001***
#> F800_9     |    F800_11 | 0.57 | [0.53, 0.60] |   23.46 | < .001***
#> F800_9     |    F800_12 | 0.69 | [0.66, 0.72] |   32.47 | < .001***
#> F800_9     |    F800_13 | 0.64 | [0.61, 0.67] |   28.58 | < .001***
#> F800_9     |    F800_14 | 0.49 | [0.45, 0.53] |   19.27 | < .001***
#> F800_10    |    F800_11 | 0.46 | [0.42, 0.51] |   17.85 | < .001***
#> F800_10    |    F800_12 | 0.75 | [0.72, 0.77] |   38.58 | < .001***
#> F800_10    |    F800_13 | 0.57 | [0.53, 0.61] |   23.74 | < .001***
#> F800_10    |    F800_14 | 0.48 | [0.44, 0.52] |   18.76 | < .001***
#> F800_11    |    F800_12 | 0.45 | [0.41, 0.50] |   17.37 | < .001***
#> F800_11    |    F800_13 | 0.55 | [0.51, 0.59] |   22.67 | < .001***
#> F800_11    |    F800_14 | 0.52 | [0.48, 0.57] |   21.08 | < .001***
#> F800_12    |    F800_13 | 0.44 | [0.39, 0.48] |   16.71 | < .001***
#> F800_12    |    F800_14 | 0.45 | [0.40, 0.49] |   17.10 | < .001***
#> F800_13    |    F800_14 | 0.46 | [0.42, 0.51] |   17.85 | < .001***
#> 
#> p-value adjustment method: Holm (1979)
#> Observations: 1171
#> 
#> $p

#>