norm_wattfab {tidynorm} | R Documentation |
Watt & Fabricius Normalize
Description
Watt & Fabricius Normalize
Usage
norm_wattfab(
.data,
...,
.by = NULL,
.by_formant = TRUE,
.drop_orig = FALSE,
.keep_params = FALSE,
.names = "{.formant}_wf",
.silent = FALSE
)
Arguments
.data |
A data frame containing vowel formant data |
... |
|
.by |
|
.by_formant |
Ignored by this procedure |
.drop_orig |
Whether or not to drop the original formant data columns. |
.keep_params |
Whether or not to keep the Location ( |
.names |
A |
.silent |
Whether or not the informational message should be printed. |
Details
This is a modified version of the Watt & Fabricius Method. The original method identified point vowels over which F1 and F2 centroids were calculated. The procedure here just identifies centroids by taking the mean of all formant values.
\hat{F}_{ij} = \frac{F_{ij}}{S_i}
S_i = \frac{1}{N}\sum_{j=1}^N F_{ij}
Where
-
\hat{F}
is the normalized formant -
i
is the formant number -
j
is the token number
Value
A data fame of Watt & Fabricius normalized formant values.
References
Watt, D., & Fabricius, A. (2002). Evaluation of a technique for improving the mapping of multiple speakers’ vowel spaces in the F1 ~ F2 plane. Leeds Working Papers in Linguistics and Phonetics, 9, 159–173.
Examples
library(tidynorm)
ggplot2_inst <- require(ggplot2)
speaker_data_wattfab <- speaker_data |>
norm_wattfab(
F1:F3,
.by = speaker,
.names = "{.formant}_wf"
)
if (ggplot2_inst) {
ggplot(
speaker_data_wattfab,
aes(
F2_wf,
F1_wf,
color = speaker
)
) +
stat_density_2d(
bins = 4
) +
scale_color_brewer(
palette = "Dark2"
) +
scale_x_reverse() +
scale_y_reverse() +
coord_fixed()
}