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<h1>suJean's test</h1>
<p>I am going to demonstrate making stuff repeatable. First just load required packages.</p>
<pre><code class="r">library(ggplot2)
</code></pre>
<p>Now set some basic parameters for the data.</p>
<pre><code class="r">maxSampleSize <- 50
maxNumTrajectories <- 10
maxNumSmoothersPerTrajectory <- 8
</code></pre>
<p>As a consequence of these settings, here is how much data we have to generate.</p>
<pre><code class="r">n <- maxSampleSize * maxNumTrajectories * maxNumSmoothersPerTrajectory
</code></pre>
<p>Now let's generate data in a repeatable way. Notice we set a seed so the same random sequence is generated every time it's run. We will use N(0,1) initially and transform the data later to different amounts of correlation and noise.</p>
<pre><code class="r">set.seed(1233)
X_base <- matrix(rnorm(2 * n), n, 2)
colnames(X_base) <- c("x1", "x2")
Y_noise <- c(rnorm(n))
# colnames(Y_noise) <- c('y_noise')
ggplot(as.data.frame(X_base), aes(x1, x2)) + geom_point() + labs(title = "Independent variables, correl=0") +
xlim(-4, 4) + ylim(-4, 4)
</code></pre>
<pre><code>## Warning: Removed 2 rows containing missing values (geom_point).
</code></pre>
<p><img 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" alt="plot of chunk gen_data"/> </p>
<p>ggplot reports missing values– these are values outside of xlim and ylim.</p>
<p>Here is the matrix governing the relationship of the independent variables</p>
<pre><code class="r">sigma <- matrix(c(1, 0.9, 0.9, 1), 2, 2)
</code></pre>
<p>FUNCTIONS</p>
<pre><code class="r">transform <- function(sigma, X) {
M <- chol(sigma)
newX <- X %*% M
colnames(newX) <- colnames(X)
return(newX)
}
</code></pre>
<p>Now use the transform function to compare data. Plot of original data, plot of transformed data. (You should see the same thing I did because we used the same seed to the initial rnorm.)</p>
<pre><code class="r">X_correl_9 <- transform(sigma, X_base)
ggplot(as.data.frame(X_correl_9), aes(x1, x2)) + geom_point() + labs(title = "Independent variables, correl=0.9") +
xlim(-4, 4) + ylim(-4, 4)
</code></pre>
<pre><code>## Warning: Removed 1 rows containing missing values (geom_point).
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-6"/> </p>
<p>Now do settings to generate y data.</p>
<pre><code class="r">b0 <- 0
b1 <- 1
b2 <- 1
</code></pre>
<p>FUNCTION</p>
<pre><code class="r">gen2dLinearY <- function(X, noise, b0 = 0, b1 = 1, b2 = 1) {
new <- cbind(b0 + b1 * X[, 1] + b2 * X[, 2] + Y_noise, X[, 1], X[, 2])
colnames(new) <- c("y", colnames(X)) # TODO: remove hard coding
return(new)
}
</code></pre>
<p>Then calculate Y and prepend to the X matrix.</p>
<pre><code class="r">Xmatrix <- gen2dLinearY(X_base, Y_noise)
</code></pre>
<p>FUNCTIONS</p>
<pre><code class="r">calcStartRow <- function(trajIndex, smootherIndex, numSmoothersPerTrajectory,
maxSampleSize) {
(trajIndex - 1) * numSmoothersPerTrajectory * maxSampleSize + (smootherIndex -
1) * maxSampleSize + 1
}
fitRegDataFrame <- function(fittingData, formula, numTrajectories, numSmoothersPerTrajectory,
minSampleSize, maxSampleSize, verbose = FALSE) {
regData <- data.frame()
for (trajIndex in 1:numTrajectories) {
for (smootherIndex in 1:numSmoothersPerTrajectory) {
startRow <- calcStartRow(trajIndex, smootherIndex, numSmoothersPerTrajectory,
maxSampleSize)
for (sampleDataIndex in minSampleSize:maxSampleSize) {
if (verbose) {
cat("using rows ", startRow, " to ", (startRow + sampleDataIndex -
1), "\n")
}
reg <- lm(formula, data = fittingData[startRow:(startRow + sampleDataIndex -
1), ])
regData <- rbind(regData, cbind(trajectoryIndex = trajIndex,
smootherIndex = smootherIndex, sampleSize = sampleDataIndex,
t(coef(reg))))
}
}
}
return(regData)
}
</code></pre>
<p>Now do some fits using the simplest linear model.</p>
<pre><code class="r">fitFormula <- as.formula("y ~ x1 + x2")
myRegData <- fitRegDataFrame(as.data.frame(Xmatrix), fitFormula, maxNumTrajectories,
maxNumSmoothersPerTrajectory, 3, 20, verbose = FALSE)
</code></pre>
<p>Plot original fits. (Pick an arbitrary smoother and plot just that one rather than averaging across smoothers.)</p>
<pre><code class="r"># install.packages('ggplot2') # if never downloaded before
library(ggplot2)
#
myRegDataToPlot <- subset(myRegData, smootherIndex == 1)
ggplot(myRegDataToPlot, aes(x1, x2, color = as.factor(trajectoryIndex))) + geom_path() +
geom_point() + coord_fixed() + labs(color = "Trajectory") + labs(title = "Raw regression fits on uncorrelated data (smoother==1)") #+xlim(-4,4)+ylim(-4,4)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-12"/> </p>
<pre><code class="r"># TODO: Title = typeOfFit + ' on ' + dataDesc
</code></pre>
<p>Notice how very messy it is! </p>
<p>The first fit with sample size 3 is especially bad. Let's leave that one out and see how much is cleans things up.</p>
<pre><code class="r">myRegDataToPlot <- subset(myRegData, smootherIndex == 1 & sampleSize > 3)
ggplot(myRegDataToPlot, aes(x1, x2, color = as.factor(trajectoryIndex))) + geom_path() +
geom_point() + coord_fixed() + labs(color = "Trajectory") + labs(title = "Raw regression fits on uncorrelated data (smoother==1, sampleSize>3)") #+xlim(-4,4)+ylim(-4,4)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-13"/> </p>
<p>Still messy but less spread out. Notice that the fit does not always head in the right direction. Sometimes instead of going toward the true parameter value (1,1), it goes away from the it, as in trajectory 9. (TODO: a close-up of trajectory 9 but we will need fixed scales– same as in overall plot. In fact, I should start with ONE fit trajectory and then show how plotting many gives a sense of the “force field,” the pull coming from the shape of the data and the kind of fit. Smoothers are motivated by wanting to see the force field. In plotting one trajectory at a time, it would also be awesome to use the same color as in the master plot.) (TODO: I can probably do subset in the ggplot command rather than as a pre-process.)</p>
<p>Just for the sake of curiosity, here is another set of plots from smoother 2. This is another sample from the data. It has the same degree of “messiness.” Smoother 1 was not an atypical sample</p>
<pre><code class="r">myRegDataToPlot <- subset(myRegData, smootherIndex == 2 & sampleSize > 3)
ggplot(myRegDataToPlot, aes(x1, x2, color = as.factor(trajectoryIndex))) + geom_path() +
geom_point() + coord_fixed() + labs(color = "Trajectory") + labs(title = "Raw regression fits on uncorrelated data (smoother==2, sampleSize>3)") #+xlim(-4,4)+ylim(-4,4)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-14"/> </p>
<p>CORRELATED DATA
Now let's doe the plots on correlated data. This will not be very enlightening for individual trajectories– so this is where seeing the “force field” across multiple fits will prove useful.</p>
<pre><code class="r">sigma <- matrix(c(1, 0.9, 0.9, 1), 2, 2) # repeated as a reminder of how we got the data
X_correl_9 <- transform(sigma, X_base) # repeated as a reminder of how we got the data
Xmatrix <- gen2dLinearY(X_correl_9, Y_noise)
fitFormula <- as.formula("y ~ x1 + x2")
myRegData <- fitRegDataFrame(as.data.frame(Xmatrix), fitFormula, maxNumTrajectories,
maxNumSmoothersPerTrajectory, 3, 20, verbose = FALSE)
myRegDataToPlot <- subset(myRegData, smootherIndex == 1 & sampleSize > 3)
ggplot(myRegDataToPlot, aes(x1, x2, color = as.factor(trajectoryIndex))) + geom_path() +
geom_point() + coord_fixed() + labs(color = "Trajectory") + labs(title = "Raw regression fits on correlated (0.9) data (smoother==1)") #+xlim(-2,4)+ylim(-4,4)
</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-15"/> </p>
<p>The fit trajectories are still messy but clearly concentrated around a line diagonal to the right. Fits quickly converge to this general area but then wander aimlessly along it. The topography of the parameter space has ellpises with their major axis along the convergence line. (See fungible weights article. TODO: use ggplot to show ellipses.)</p>
<p>By the time of a sample size of 20, they still settle in a wide range of places. Trajectory 3 settled near (x1,x2)= (2,0), meaning x1 is much stronger than x2. Trajectory 4 settled near (x1,x2)=(0,2), meaning x2 is much stronger than x1. Which is right? Well, on highly correlated data, x1 is nearly interchangeable with x2, so the weights between them can slosh around as long as they add up to roughly 2. WE know we generated the data with (x1,x2)=(1,1). But the high correlation means it's very hard to converge there.
(TODO: Save the regression objects so I can easily pull out p-values.)</p>
<pre><code class="r">endingFit <- subset(myRegData, smootherIndex == 1 & sampleSize == 20)
ggplot(endingFit, aes(x1, x2, color = as.factor(trajectoryIndex))) + geom_path() +
geom_point() + coord_fixed() + labs(color = "Trajectory") + labs(title = "Raw regression fits on correlated (0.9) data (sampleSize==20)")
</code></pre>
<pre><code>## geom_path: Each group consist of only one observation. Do you need to
## adjust the group aesthetic?
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-16"/> </p>
<p>Notice the area they are converging to is perpendicular to the pattern of the correlated x data, which were roughly on the x1=x2 line. This is not an accident. Correlation is akin to the cosine of the angle. No correlation has a cosine of 0, meaning orthogonal lines. But we know x1 and x2 have a correlation of 0.9. If we transformed our parameter space by bending x2 down toward x1 so that its cosine was __, then we would be representing the “true” parameter space. In this space, the fits would no longer be stretched out over a line– they would seem to converge from all directions. In other words the “fit field” would have all arrows pointing in toward (1,1). And the “fit topography” would be circles again rather than ellipses.
TODO: Can ggplot show non-orthogonal axes??</p>
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