Vad bayesiansk inferens behöver

Grunderna i bayesiansk dataanalys i R

Rasmus Bååth

Data Scientist

Vad är en generativ modell?

Generativ zombieläkemedelsmodell

# Parameters
prop_success <- ???
n_zombies <- ???

Generativ zombieläkemedelsmodell

# Parameters
prop_success <- 0.15
n_zombies <- 13

Generativ zombieläkemedelsmodell

# Parameters
prop_success <- 0.15
n_zombies <- 13
# Simulating data
data <- c()
for(zombie in 1:n_zombies) {
  data[zombie] <- ???
}

Generativ zombieläkemedelsmodell

# Parameters
prop_success <- 0.15
n_zombies <- 13
# Simulating data
data <- c()
for(zombie in 1:n_zombies) {
  data[zombie] <- runif(1, min = 0, max = 1) < prop_success
}

Generativ zombieläkemedelsmodell

# Parameters
prop_success <- 0.15
n_zombies <- 13
# Simulating data
data <- c()
for(zombie in 1:n_zombies) {
  data[zombie] <- runif(1, min = 0, max = 1) < prop_success}

data

FALSE FALSE FALSE TRUE FALSE FALSE FALSE FALSE TRUE FALSE TRUE FALSE FALSE

Generativ zombieläkemedelsmodell

# Parameters
prop_success <- 0.15
n_zombies <- 13
# Simulating data
data <- c()
for(zombie in 1:n_zombies) {
  data[zombie] <- runif(1, min = 0, max = 1) < prop_success
}
data <- as.numeric(data)

Generativ zombieläkemedelsmodell

# Parameters
prop_success <- 0.15
n_zombies <- 13
# Simulating data
data <- c()
for(zombie in 1:n_zombies) {
  data[zombie] <- runif(1, min = 0, max = 1) < prop_success
}
data <- as.numeric(data)
data

0 0 0 1 0 0 0 0 1 0 1 0 0

Generativ zombieläkemedelsmodell

# Parameters
prop_success <- 0.15
n_zombies <- 13
# Simulating data
data <- c()
for(zombie in 1:n_zombies) {
  data[zombie] <- runif(1, min = 0, max = 1) < prop_success
}
data <- as.numeric(data)
data

0 0 1 0 0 0 0 0 0 0 0 0 0

Generativ zombieläkemedelsmodell

# Parameters
prop_success <- 0.15
n_zombies <- 13
# Simulating data
data <- c()
for(zombie in 1:n_zombies) {
  data[zombie] <- runif(1, min = 0, max = 1) < prop_success
}
data <- as.numeric(data)
data

0 1 0 1 1 0 0 1 0 1 0 0 0

Generativ zombieläkemedelsmodell

# Parameters
prop_success <- 0.15
n_zombies <- 13
# Simulating data
data <- c()
for(zombie in 1:n_zombies) {
  data[zombie] <- runif(1, min = 0, max = 1) < prop_success
}
data <- as.numeric(data)
data

0 0 0 0 0 0 0 1 0 0 0 0 0

Generativ zombieläkemedelsmodell

# Parameters
prop_success <- 0.15
n_zombies <- 13
# Simulating data
data <- c()
for(zombie in 1:n_zombies) {
  data[zombie] <- runif(1, min = 0, max = 1) < prop_success
}
data <- as.numeric(data)
data

0 0 0 0 1 0 0 0 0 1 0 1 0

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Grunderna i bayesiansk dataanalys i R