Treatment coding sets the mean of the reference level (base) as the intercept. Each contrast compares one level with the reference level.
Examples
df <- sim_design(between = list(pet = c("cat", "dog")),
mu = c(10, 20), plot = FALSE)
df$pet <- contr_code_treatment(df$pet)
lm(y ~ pet, df) %>% broom::tidy()
#> # A tibble: 2 × 5
#> term estimate std.error statistic p.value
#> <chr> <dbl> <dbl> <dbl> <dbl>
#> 1 (Intercept) 10.1 0.110 91.8 3.19e-164
#> 2 pet.dog-cat 9.76 0.156 62.5 2.48e-132
df <- sim_design(between = list(pet = c("cat", "dog", "ferret")),
mu = c(2, 4, 9), empirical = TRUE, plot = FALSE)
df$pet <- contr_code_treatment(df$pet)
lm(y ~ pet, df) %>% broom::tidy()
#> # A tibble: 3 × 5
#> term estimate std.error statistic p.value
#> <chr> <dbl> <dbl> <dbl> <dbl>
#> 1 (Intercept) 2.00 0.1 20.0 5.87e- 57
#> 2 pet.dog-cat 2 0.141 14.1 4.53e- 35
#> 3 pet.ferret-cat 7 0.141 49.5 1.67e-145
df$pet <- contr_code_treatment(df$pet, base = 2)
lm(y ~ pet, df) %>% broom::tidy()
#> # A tibble: 3 × 5
#> term estimate std.error statistic p.value
#> <chr> <dbl> <dbl> <dbl> <dbl>
#> 1 (Intercept) 4 0.1 40.0 1.30e-121
#> 2 pet.cat-dog -2 0.141 -14.1 4.53e- 35
#> 3 pet.ferret-dog 5 0.141 35.4 1.89e-108
df$pet <- contr_code_treatment(df$pet, base = "ferret")
lm(y ~ pet, df) %>% broom::tidy()
#> # A tibble: 3 × 5
#> term estimate std.error statistic p.value
#> <chr> <dbl> <dbl> <dbl> <dbl>
#> 1 (Intercept) 9 0.1 90 1.40e-217
#> 2 pet.cat-ferret -7 0.141 -49.5 1.67e-145
#> 3 pet.dog-ferret -5 0.141 -35.4 1.89e-108