simplify simulation 02.

[ml_measurement_error_public.git] / simulations / 01_two_covariates.R

diff --git a/simulations/01_two_covariates.R b/simulations/01_two_covariates.R
index 419403d20fd415bc55772c6460961f5a6ef91be4..73e8939abda420198b2a4c5a99f5d8d6fdff19a9 100644 (file)
--- a/simulations/01_two_covariates.R
+++ b/simulations/01_two_covariates.R
@@ -1,8 +1,10 @@
-### EXAMPLE 2_b: demonstrates how measurement error can lead to a type sign error in a covariate
-### This is the same as example 2, only instead of x->k we have k->x.
-### Even when you have a good predictor, if it's biased against a covariate you can get the wrong sign.
-### Even when you include the proxy variable in the regression.
-### But with some ground truth and multiple imputation, you can fix it.
+### EXAMPLE 2_b: demonstrates how measurement error can lead to a type
+### sign error in a covariate This is the same as example 2, only
+### instead of x->k we have k->x.  Even when you have a good
+### predictor, if it's biased against a covariate you can get the
+### wrong sign.  Even when you include the proxy variable in the
+### regression.  But with some ground truth and multiple imputation,
+### you can fix it.

 
 library(argparser)
 library(mecor)
 
 library(argparser)
 library(mecor)


@@ -12,9 +14,9 @@ library(filelock)
 library(arrow)
 library(Amelia)
 library(Zelig)
 library(arrow)
 library(Amelia)
 library(Zelig)

+

 library(predictionError)
 library(predictionError)

-options(amelia.parallel="no",
-        amelia.ncpus=1)
+options(amelia.parallel="no", amelia.ncpus=1)

 
 source("simulation_base.R")
 
 
 source("simulation_base.R")
 


@@ -28,20 +30,18 @@ source("simulation_base.R")
 #### how much power do we get from the model in the first place? (sweeping N and m)
 #### 
 
 #### how much power do we get from the model in the first place? (sweeping N and m)
 #### 
 

-simulate_data <- function(N, m, B0=0, Bxy=0.2, Bgy=-0.2, Bgx=0.2, y_explained_variance=0.025, gx_explained_variance=0.15, prediction_accuracy=0.73, seed=1){
+simulate_data <- function(N, m, B0=0, Bxy=0.2, Bzy=-0.2, Bzx=0.2, y_explained_variance=0.025, prediction_accuracy=0.73, seed=1){

     set.seed(seed)
     set.seed(seed)

-    g <- rbinom(N, 1, 0.5)
-
-    x.var.epsilon <- var(Bgx *g) * ((1-gx_explained_variance)/gx_explained_variance)
-    x.epsilon <- rnorm(N,sd=sqrt(x.var.epsilon))
-    xprime <- Bgx * g + x.epsilon
-    x <- as.integer(logistic(scale(xprime)) > 0.5)
+    z <- rbinom(N, 1, 0.5)
+                                        #    x.var.epsilon <- var(Bzx *z) * ((1-zx_explained_variance)/zx_explained_variance)
+    xprime <- Bzx * z #+ x.var.epsilon
+    x <- rbinom(N,1,plogis(xprime))

 
 

-    y.var.epsilon <- (var(Bgy * g) + var(Bxy *x) + 2*cov(Bxy*x,Bgy*g)) * ((1-y_explained_variance)/y_explained_variance)
+    y.var.epsilon <- (var(Bzy * z) + var(Bxy *x) + 2*cov(Bxy*x,Bzy*z)) * ((1-y_explained_variance)/y_explained_variance)

     y.epsilon <- rnorm(N, sd = sqrt(y.var.epsilon))
     y.epsilon <- rnorm(N, sd = sqrt(y.var.epsilon))

-    y <- Bgy * g + Bxy * x + y.epsilon
+    y <- Bzy * z + Bxy * x + y.epsilon

 
 

-    df <- data.table(x=x,xprime=xprime,y=y,g=g)
+    df <- data.table(x=x,y=y,z=z)

 
     if(m < N){
         df <- df[sample(nrow(df), m), x.obs := x]
 
     if(m < N){
         df <- df[sample(nrow(df), m), x.obs := x]


@@ -49,37 +49,53 @@ simulate_data <- function(N, m, B0=0, Bxy=0.2, Bgy=-0.2, Bgx=0.2, y_explained_va
         df <- df[, x.obs := x]
     }
 
         df <- df[, x.obs := x]
     }
 

-    df <- df[,w_pred:=x]
-
-    df <- df[sample(1:N,(1-prediction_accuracy)*N),w_pred:=(w_pred-1)**2]
-    df <- df[,':='(w=w, w_pred = w_pred)]
+    ## how can you make a model with a specific accuracy?
+    w0 =(1-x)**2 + (-1)**(1-x) * prediction_accuracy
+
+    ## how can you make a model with a specific accuracy, with a continuous latent variable.
+    # now it makes the same amount of mistake to each point, probably
+    # add mean0 noise to the odds.
+    
+    w.noisey.odds = rlogis(N,qlogis(w0))
+    df[,w := plogis(w.noisey.odds)]
+    df[,w_pred:=as.integer(w > 0.5)]
+    (mean(df$x==df$w_pred))

     return(df)
 }
 
 parser <- arg_parser("Simulate data and fit corrected models")
     return(df)
 }
 
 parser <- arg_parser("Simulate data and fit corrected models")

-parser <- add_argument(parser, "--N", default=500, help="number of observations of w")
-parser <- add_argument(parser, "--m", default=100, help="m the number of ground truth observations")
-parser <- add_argument(parser, "--seed", default=4321, help='seed for the rng')
+parser <- add_argument(parser, "--N", default=1000, help="number of observations of w")
+parser <- add_argument(parser, "--m", default=200, help="m the number of ground truth observations")
+parser <- add_argument(parser, "--seed", default=57, help='seed for the rng')

 parser <- add_argument(parser, "--outfile", help='output file', default='example_1.feather')
 parser <- add_argument(parser, "--outfile", help='output file', default='example_1.feather')

+parser <- add_argument(parser, "--y_explained_variance", help='what proportion of the variance of y can be explained?', default=0.05)
+# parser <- add_argument(parser, "--zx_explained_variance", help='what proportion of the variance of x can be explained by z?', default=0.3)
+parser <- add_argument(parser, "--prediction_accuracy", help='how accurate is the predictive model?', default=0.73)
+parser <- add_argument(parser, "--Bzx", help='coefficient of z on x?', default=1)

 args <- parse_args(parser)
 
 B0 <- 0
 args <- parse_args(parser)
 
 B0 <- 0

-Bxy <- 0.2
-Bgy <- -0.2
-Bgx <- 0.5
-
-df <- simulate_data(args$N, args$m, B0, Bxy, Bgy, Bgx, seed=args$seed, y_explained_variance = 0.025, gx_explained_variance = 0.15)
-result <- list('N'=args$N,'m'=args$m,'B0'=B0,'Bxy'=Bxy,'Bgy'=Bgy, 'Bgx'=Bgx, 'seed'=args$seed)
-outline <- run_simulation(df, result)
-
-outfile_lock <- lock(paste0(args$outfile, '_lock'),exclusive=TRUE)
-if(file.exists(args$outfile)){
-    logdata <- read_feather(args$outfile)
-    logdata <- rbind(logdata,as.data.table(outline))
-} else {
-    logdata <- as.data.table(outline)
-}
+Bxy <- 0.3
+Bzy <- -0.3
+Bzx <- args$Bzx
+
+if (args$m < args$N){
+
+    df <- simulate_data(args$N, args$m, B0, Bxy, Bzy, Bzx, seed=args$seed + 500, y_explained_variance = args$y_explained_variance,  prediction_accuracy=args$prediction_accuracy)

 
 

-print(outline)
-write_feather(logdata, args$outfile)
-unlock(outfile_lock)
+    result <- list('N'=args$N,'m'=args$m,'B0'=B0,'Bxy'=Bxy,'Bzy'=Bzy, 'Bzx'=Bzx, 'seed'=args$seed, 'y_explained_variance' = args$y_explained_variance, 'zx_explained_variance' = args$zx_explained_variance, "prediction_accuracy"=args$prediction_accuracy, "error"="")
+
+    outline <- run_simulation(df, result)
+    
+    outfile_lock <- lock(paste0(args$outfile, '_lock'),exclusive=TRUE)
+    if(file.exists(args$outfile)){
+        logdata <- read_feather(args$outfile)
+        logdata <- rbind(logdata,as.data.table(outline),fill=TRUE)
+    } else {
+        logdata <- as.data.table(outline)
+    }
+
+    print(outline)
+    write_feather(logdata, args$outfile)
+    unlock(outfile_lock)
+}