I am running a binomial probit model in R. Condition
is a categorical variable with value Target
as the treatment group (index is 10). pPrime
is continuous between 0 and 1. TC_c is continuous. Weight_vec
is a vector specifying how many trials each data point is represented by. This is necessary due to preprocessing steps taken to acquire pPrime
, which is a transformed variable. The actual transformation is not relevant. The random effects in the model are a random slope and intercept (hence (1 + TC_c | Participant_Number)
), but no random Condition*TC_c
interaction.
model_dummy_Target = glmer(
data = df,
family = binomial(link = 'probit'),
formula = "pPrime ~ (Condition * TC_c) + (1 + TC_c | Participant_Number)",
contrasts = list(Condition = contr.treatment(levels(df$Condition), base = 10)),
weights = Weight_vec
)
In essence, I need to find the value of TC_c
per-person, per-condition where the probability of responding correctly is 0.5 pPrime == 0.5
.
Below is sample some of my data:
structure(list(Participant_Number = structure(c(1L, 1L, 1L, 1L,
1L, 1L, 11L, 11L, 11L, 11L, 11L, 11L), levels = c("42", "43",
"44", "46", "49", "50", "51", "52", "54", "56", "57"), class = "factor"),
Condition = structure(c(5L, 6L, 1L, 3L, 5L, 6L, 5L, 6L, 7L,
8L, 9L, 10L), levels = c("C_10", "C_12", "C_14", "C_15",
"C_16", "C_18", "C_20", "C_22", "Straight", "Target"), class = "factor"),
TC_c = c(-3.20231496062992, -3.20231496062992, -2.90231496062992,
-2.90231496062992, -2.90231496062992, -2.90231496062992,
6.91768503937008, 6.91768503937008, 6.91768503937008, 6.91768503937008,
6.91768503937008, 6.91768503937008), pPrime = c(0, 0, 0,
0, 0.166666458333594, 0.196428360969613, 0.999999000001,
0.999999000001, 0.999998846155178, 0.999998846155178, 0.999999000001,
0.999998750001562)), class = "data.frame", row.names = c(1L,
2L, 3L, 4L, 5L, 6L, 1265L, 1266L, 1267L, 1268L, 1269L, 1270L))