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GLM-Model.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<meta name="generator" content="pandoc" />
<meta http-equiv="X-UA-Compatible" content="IE=EDGE" />
<meta name="author" content="Danielle van Os" />
<meta name="date" content="2021-06-01" />
<title>GLM Model</title>
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) 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<h1 class="title toc-ignore">GLM Model</h1>
<h4 class="author">Danielle van Os</h4>
<h4 class="date">06/01/2021</h4>
</div>
<pre class="r"><code>library(tidyverse)
library(stats) # For linear models
library(MASS) # For random data generation with exact means
library(knitr) # for nice tables
rm(list = ls())</code></pre>
<div id="glm-parameters" class="section level2">
<h2>GLM Parameters</h2>
<ul>
<li>number of groups</li>
<li>mean for each group/s</li>
<li>sd for each group/s</li>
<li>presence of continuous variable (e.g., for ANCOVA)</li>
</ul>
</div>
<div id="linear-model---1-predictor" class="section level2">
<h2>Linear Model - 1 predictor</h2>
<div id="generate-sample-data" class="section level3">
<h3>Generate sample data</h3>
<p>To make it faster consider running the lm model, saving it, and adding aspects of that to the graph, rather than running the lm model twice.</p>
<pre class="r"><code># Parameters
sample_size <- 400
intercept <- 10
slope <- 3.4
sd <- 5
mean <- 0
x <- mvrnorm(n = sample_size, mu = 0, Sigma = sd, empirical = TRUE)
y <- intercept + slope*x + mvrnorm(n = sample_size, mu = 0, Sigma = sd, empirical = TRUE)
df <- tibble(x = x, y = y)
lm <- summary(lm(formula = y ~ x, data = df))</code></pre>
</div>
<div id="plot-linear-model" class="section level3">
<h3>Plot Linear Model</h3>
<pre class="r"><code>ggplot(data = df, mapping = aes(x = x, y = y)) +
geom_point() +
stat_smooth(method = "lm")</code></pre>
<pre><code>## `geom_smooth()` using formula 'y ~ x'</code></pre>
<p><img 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" width="672" /></p>
</div>
</div>
<div id="t-test---1-variable-2-groups" class="section level2">
<h2>t-test - 1 variable 2 groups</h2>
<pre class="r"><code># Parameters
group_size <- 200
mean_g1 <- 10
mean_g2 <- 12
sd_g1 <- 0.3
sd_g2 <- 0.3
# Data generation
group_1 <- mvrnorm(n = group_size, mu = mean_g1, Sigma = sd_g1, empirical = TRUE)
group_2 <- mvrnorm(n = group_size, mu = mean_g2, Sigma = sd_g2, empirical = TRUE)
data <- c(group_1, group_2)
# Data frame
df <- tibble(group = rep(c(0, 1), each = group_size),
y = data)
# Linear model and t.test function
t.test(formula = y ~ group, data = df)</code></pre>
<pre><code>##
## Welch Two Sample t-test
##
## data: y by group
## t = -36.515, df = 398, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -2.107679 -1.892321
## sample estimates:
## mean in group 0 mean in group 1
## 10 12</code></pre>
<pre class="r"><code>t_test <- summary(lm(formula = y ~ 1 + group, data = df)) # The '1' is a way of writing 1*B0 or 1*intercept, which in this case is 1*10.
# Output
t_test</code></pre>
<pre><code>##
## Call:
## lm(formula = y ~ 1 + group, data = df)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.39174 -0.39493 0.00793 0.38369 1.58554
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 10.00000 0.03873 258.20 <2e-16 ***
## group 2.00000 0.05477 36.52 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.5477 on 398 degrees of freedom
## Multiple R-squared: 0.7701, Adjusted R-squared: 0.7695
## F-statistic: 1333 on 1 and 398 DF, p-value: < 2.2e-16</code></pre>
<pre class="r"><code>knitr::kable(coefficients(t_test), digits=3)</code></pre>
<table>
<thead>
<tr class="header">
<th align="left"></th>
<th align="right">Estimate</th>
<th align="right">Std. Error</th>
<th align="right">t value</th>
<th align="right">Pr(>|t|)</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="left">(Intercept)</td>
<td align="right">10</td>
<td align="right">0.039</td>
<td align="right">258.199</td>
<td align="right">0</td>
</tr>
<tr class="even">
<td align="left">group</td>
<td align="right">2</td>
<td align="right">0.055</td>
<td align="right">36.515</td>
<td align="right">0</td>
</tr>
</tbody>
</table>
<p>The x estimate indicates the amount that the second group mean differs from the first. If it is negative it means that the mean of the second group is less than that of the first group, whereas if it is positive, the mean of the second group is greater than that of hte first group.</p>
<div id="plot-t-test" class="section level3">
<h3>Plot T-Test</h3>
<p>NOTE TO SELF: Eventually animate the transition from a standard graph to the density plots NOTE 2: add intercept horizontal line as well</p>
<pre class="r"><code># Step 1 - standard graph
ggplot(data = df, mapping = aes(x =group, y = y)) +
geom_point() +
stat_smooth(method = "lm")</code></pre>
<pre><code>## `geom_smooth()` using formula 'y ~ x'</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code># Step 2 - change axes
ggplot(data = df, mapping = aes(x = y, y =group)) +
geom_point() +
stat_smooth(method = "lm")</code></pre>
<pre><code>## `geom_smooth()` using formula 'y ~ x'</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Step 3 - remove regression line
ggplot(data = df, mapping = aes(x = y, y =group)) +
geom_point() </code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Step 4 - change colours
ggplot(data = df, mapping = aes(x = y, y =group, color =group)) +
geom_point(alpha = 0.5) +
theme(legend.position = "none")</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Step 5 - move dots from second graph to the x axis
ggplot(data = df, mapping = aes(x = y, y = 0, color =group)) +
geom_point(alpha = 0.5) +
ylim(0, 1) +
theme(legend.position = "none")</code></pre>
<p><img 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rRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ6fBQF+uT+Sqdz88H25Xud/rz46dbW4zvbf3eBZlAZxYNRlVYrFZbT4yMo0F5BbvfjrgLdWHGB9rk5VEbxYFSl1UqF5fT4CAp0rXP6wdbmvc7ph7tu2Fg59XH541Hn5f0fePDRocbiRWBzqEqrlQrL6fHhC3RjpTm1fHynacuhKSei73UL9j0XaI+bQ2UUD0ZVWq1UWE6PD1+g670TzPXdPbnePSd9cm93s7pAg6mM4sGoSquVCsvp8eELdK3zYfPn7nfqj+90b3h85/TffdDp/PDBnkcefHSosXgR2Byq0mqlwnJ6fOgCHZxgbqzs/CJo/8y0/z2kXs+WeaY3vzfL4/F4iOfoCnTwNdFHnc67D7d+c78zeCfvAvV4PG2cQxXojp9TetT/rnz/THTv95IOPj9Gjd/6RGBzqEqrlQrL6fFRFujwGeiTe9tv2Xc1qgs0msooHoyqtFqpsJweowp01/novtccfHSosXgR2Byq0mqlwnJ6fOgC/YLvwu/96fnd32RygYZRGcWDUZVWKxWW0+PDF2j/5z93/hzo4Cueg/fyeyv14KNDjcWLwOZQlVYrFZbT48MX6L6/iTT00/Nr3eLc+0VRF2gUlVE8GFVptVJhOT0+fIGWZnxpz+/CP74z+ILnxkr9MabND/b+rvzBR4caixeBzaEqrVYqLKfHhy/Qrc2hf42p9++H7PiC53rvH2Pa86tIBx8daixeBDaHqrRaqbCcHh9BgW5t3i/9ePPh1lCB7viZpc0fdzqn3t19/ukCDaMyigejKq1WKiynx0dRoKPOwUeHGosXgc2hKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX0OLNAPR6Pp03jM1AsN4fK+JkbRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyenwUBfrk/kqnc/PB0DWP73SaefHT/W93gYZSGcWDUZVWKxWW0+OnKtDf/vs//b9f3J+9tuyWZXc2VoYKdJ/bXaChVEbxYFSl1UqF5fT46Qr0B2Njf/gXv/yCAl3rnH6wtXmvc/rh4KpHnZe/9HYXaCiVUTwYVWm1UmE5PX6qAv3dX4/V+aO/3K9DN1Z655mnPh7qzPe+9HYXaCiVUTwYVWm1UmE5PX6qAi3zD/+x6dB/8Zd7blnvnW2ub5fmk3tDZbnP7S7QWCqjeDCq0mqlwnJ6/LQFWubvux36J3+z8+q1zofNn0Nv2x/fOf13H3Q6P3zwBbe7QGOpjOLBqEqrlQrL6fHvUaDlrfzf/4daoV/7i6FvKQ3ONjdWBl/k7H8PqVbnPrc/05svZXk8Hs9XbA78MaZ/+h/fbN7KD05D9yvQR53Ouw+3fnO/U25ygXo8HpE54Az0f/3zsf78ae+6oYIc/KBS/8ue9XtJ+93em4PPj1Hjtz4R2Byq0mqlwnJ6/PQF2m/P+r34f/rrsbE/21Oge35O6VHn9MMvuf3go0ONxYvA5lCVVisVltPjpyzQ3lc/t38a9POxr//ywAKtJ50u0GFuDpVRPBhVabVSYTk9fqoC/d1Px3Z/8+i3P/iDv+3+7Yu/y97tTH8XfoibQ2UUD0ZVWq1UWE6Pn6pA628ifW3njy/99ge9M9DBz3du/5znk3vDnbn3dhdoMJVRPBhVabVSYTk9fsoC/ZP/s+uq3/3v/tnoPr9ptNY92ewWqf6Jn7EAACAASURBVH8TaYibQ2UUD0ZVWq1UWE6Pn6pAv3RKTb6063fdN1bqjzFtftBctc/tLtBYKqN4MKrSaqXCcnp8+ALd2hz615Y2VprzzPXeP8b0YPftLtAMKqN4MKrSaqXCcnp8BAW6tXm/9OPN5vyyV6Bbmz/udE69+3DP7S7QDCqjeDCq0mqlwnJ6fBQFOuocfHSosXgR2Byq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6XFmgXo8Hk+bxmegWG4OlfEzN4yqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fT4KAr0yf2VTufmg+Grfv3jTudU76rHdzrNvPipCzSHyigejKq0WqmwnB4fQYH2CnK4H3/ercxTH9cLGysu0D43h8ooHoyqtFqpsJweH0GBrnVOP9javNc5/bB/zaPOqZ9s1auaznzUeXn/Bx58dKixeBHYHKrSaqXCcnp8+ALdWGlq8vGd7vlmmSf3Oh9uNVc1f6513nOB9rg5VEbxYFSl1UqF5fT48AW63jvBXB/05OM7vXfrTXU+uTdoVhdoDpVRPBhVabVSYTk9PnyBrnVPN/d7p94U6OM7p//ug07nhw/2PPLgo0ONxYvA5lCVVisVltPjQxfo4ARzY2X7i6Dd6b6r738PqdezZZ7pze/N8ng8HuI50gLtvrl/1Om8+3DrN/c7g3fyLlCPx9PGOVSB7vo5pUfdyux/jXTv95IOPj9Gjd/6RGBzqEqrlQrL6fFRFujOM9BHK6c+3HG5s/sM9eCjQ43Fi8DmUJVWKxWW02NYga53dn3zfc8Zqgs0isooHoyqtFqpsJweH7pAv+C78D/f3Z/7fI304KNDjcWLwOZQlVYrFZbT48MXaP/nP9eHvsb5ZK3zUu90s/9T9fv8mNPBR4caixeBzaEqrVYqLKfHhy/Qvb+J1Px258Ptv7+8o0hdoOFURvFgVKXVSoXl9PjwBVqa8aVdvwu/Pvz9oo2V+mNMmx/s+R6SCzSKyigejKq0WqmwnB4fvkC3Nof+NaaNlXIe2v/368q83NRp9/Y9v4p08NGhxuJFYHOoSquVCsvp8REU6Nbm/dKPN5vzy6ZAH3V2FOjWZv3HQd/dff7pAg2jMooHoyqtViosp8dHUaCjzsFHhxqLF4HNoSqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9DizQD0ej6dN4zNQLDeHyviZG0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj4+iQJ/cX+l0bj74wqv2ud0FGkllFA9GVVqtVFhOj4+gQB/f6dR58dMvuGqf212goVRG8WBUpdVKheX0+AgKdK1z+sHW5r3O6Yf7X7XP7Yco0FuzM9PTM7d+r0fM3uo9cqb8rV4s7P61O+/Ru+7WTEXMTo5PztZHNY/b97lmhg9ldnp6trnD9n/6gJmpqenpyYljM7PTU+WvM7OzTYyZqYnx8fHpW+W+Zeoft7afsrlU7z/dP4KZycmZBjQ1MTE5OTU9NTlRHj9Vj7F7t/KUs93H35qeHB/v3vvWmRP179Pl7uUx9b/Tt+rtUzMzkxP1wbPNfacaxK3pifKwW92XoDnGQZ76iObF6B1Ol9qkmZ6anu2+KiXQZDfezJnuY2abcDPdyFPlKc6eu3q3PuX11atnmwf2XrfZetXq3R0v3NBKune4eu7s0Et0t1wsj7k+9Iiy2u61y0tLy3d7V95dvXz+3PXus92tjPKf1fpnvers1eUyq3ebGz67u9x7WPdi/bPeWC8uX3zttYvlxrtLF14713uepYXF5dXKul0fulguLC0sLDVP3sDKs62uLs7PzS+t9p9ydWlxqffQ1fqQpT67e+flpe5V5Y4LcwvL9XLz8Aopf51fWl6cX2jusrp67dLCUvfoFufm5paauzQPr0dyt3tw9Xiaw7/bI/bzde9Tr19dbma1PPNcQdUjWVxYWGhuXl7uPsH2S1Ge4cZq8+DtV6f/am3nqC//6t3VxYXFpS6nHOFifx9DL+/gQu/Atl/21bu77lobY3D4e59gv4/9odl+5H43fsnj0QW6sdKcWz6+c+rjfa/a5/ZDFGj5KKwfss3H69M+ohZT88j6gT9dL57Z6l+78x6962ab7ij1Wf9fWm6qfvjv91zN/fqHUmpgdnKydt5s/z99QOmJ0lHjU/X/k+MTk1OTM1Ol0cb7M910wnRp0unJ/lNWVqm70ncTE90jKPVZKrSAylWDh45P1KKcmqh3myidWvp0ph5IZU3Ue8/Onhi+bz2Ewi5l2LRmCXire+3ERO24+izjE+UJSrTyXE3jdfM0j5iYmWqmeSErtTzH5GS5X5n6qkw0jLKhco8TzWOmC2CmXqzPNTE5PfGvX7h+9ty52VtXzz139tvfLo8b775u5RUoxXd39dzQCze0ktnmDt957vrV7wxeotVSlBe/f7Y08vYjtra6156vPVJbq95v9fz5y5cLtDzbuXPlg3mp2yOrq+V5r149X+5bemKptslq87G/Wh9TL9Y/m24pj1h8/fULc6+fX1paeO38xQuvN89TSmZhbnGxVOa1pVqMS6XrFhdqy909d67Avr9cKmSu1FKpt6XuU3Y7rnnoUumUpYX5xS67Nk7pm1KP9apyx7mFcof5Wmr1GRYLpl4sl8r/m36bm79Snrwe3Vx3FpfmywEsLFRauXc9uLnatuX4Sn3ONcR+vnq05YZyfdO35SVoDnNufn6heXBhLNZ6np+rT7D6Wf+lWCqlfqXUbP000H91VnuvVvNHk2Ou6c2FuaV6rJVTj2t+brX/Udl/eQcXlprPFavbL/vg9sFfS2MM1rP3CQYX9p/tR+5345c9Hl2g652Xe3++t+9V+9w+eoE2H0blTGt25mkbtHzM1KkfgPUUptRLufSj471rd96jd91sc8/an6UB6glV5dX77n6uWpmz/UOpf6/nlOW2gmj+0weUYy5NVarlWPn/ZK3EmfGpbv10p5yn1UMrtVw/NzRPWVkzpQdL9db7lyOYmGrO/ZpTyYnxiaFWnBhv7lWeZmqintOVM9SZWmylE8sp9Mz4RAMfn2geNTFV7lbxlV4eNjU+3X2W0t0zzY31TLUcTHmmipxuXrKZ0oUVMt40aDmcqRJ/aro823jpz4n6EpUOLMhyFOVwJsvlM1OT3d6cKK9L+VwzWQ5ueuI7zz538vrJk1evXj959hsnT74wU7j1dZuYnT138vr1s2evXx28cJ9tr6S+GLPnnj179uTJ517ovUSrZ69fv3z16p+Xh13tP+KzrdvNtRcvnC8f66vLzcfa3fNXy1w++cKtW1cL4u7yavNBX86LzpUryp3P11O3enl5sTk1Xa4fUXXKn009LJZTrvNvXLhw8eKF78+9dvny5TfeeKM8TymxUkO1w5ZuL83XIipV9esfqgAADjxJREFUt1BO2RZWz5eDunr56rml5XpVqcTSJfUZF2tflVoqD12u3dqtscIuh7Bazy7n6xlfKf/ygFKy3VJb6DZo+Uvv8kJttbmlS5dKyS3Uk7vSe037LXX7c3G+PL6epzbNXQqwPH951ubEsptvuR5Gc7JaK72eUM4tdJ9moVbmwnz932LNstg8sLRj81KUoltaulLruzzDUvfVKc/UvFpL9T9NjtLk5Q7lcOrT1O7vfgJYmu+1VP/lHVyoT1Zf5+X+yz64ffuv5XPjcm89e59gcGH/2X7kfjd+6ePRBbrW+bD581GvKHdftc/tIxdofbvZFGj5/9O9i7/V+xgsp0zNm8h67nTr1pnj3aubN62De/TrsXm7OV2rplRJPb+rvOZcaOdzTfbeizeHUs7IalHO1Otm6sd35XQBpT2mB11Zzs8m6lne5NTQVeXMrh5a7az6znm2h5uptTjVPbWcqed5tUDrSezQCWjv8c119Ymb08PalLVAC2uqfCaY2HH/5vx1ooufmOwfxUT9e3N2PDXVDT3VnDGWoq1H0xRrhUx2vxBQz6lrhOapJ0vRlojT3WT1mlKVMyfqYTfn3uXAyyeC5uC+8e1nS4OePHn+8tmTz33juZMvPFvi1NQT02fPnTxbqvX61eu9F26wmvrljfJ6nn3h2ZNnn3v2uReea16i61dL2ZaK+vMXztbH9N7Ff/ROvfbyGxe+f7npiPru9WpToOdfaO54vbxlX62ng+Wj6fq5WqyXL56/3K2S8pHfbYSl7gfy3fq+tl4uDXLh+xcuXHjjYimZ1y9evvjGGxfOX63ni+UUcq6e2l0rhbW81JwtlpKav3i+NPPFy1fPX2xqqdbI/GLT0PVst3vuubTQvGNuzkGXm3ffS/XJ6sllc7ZZ/rMwt3Pme3/MN3+dvzRfz3cXh2/p/qW2Xz2XbE4kl5rT1dqDtT/7Xw0oeZfqiedS8zWDBrj9PPPz883BzTdlWm9f6vVufZqFS+V5msd1zz6bd+vdE/u7vTPsch7dnHzW7M0fzXns4vxi7/15r7Lu9i7Up6iniPWLG83LPrh96K5bHy33anD7E9zd3c+2/9wdPHKf+xzweHCBPrnXe2u+sdL/IueOq/a5/Zne/N6srTM/OnH8RJ3jZ06cecpHdKc85kyZ4/WR5VL9T50zw/fo/eV4c896JjU5eaycUU10eT86s/u5jh0r15dpDuV48+xlJuo19Q4n+oByzMd6VVP/f2xi4tj4sfLsw+/DjzeHdnyyYZXHHq+cM5PHJ+sxTBybOHF8fPL4seb562PHd1douVc99Su3HT92/Hg9D5xsTkHLI8e3z3SbRxX6eG3K5oiOHetdXy4cr9cfq1OuP16eZ/LY5LETx46V8Ccmy5Mer4cyXg6pHMjkiXKhHFMB1Wcsr9HkiYnmBHSiezgn6lGUl+h4uf/4ifIs5SU4Njn57T/+1rPfevaVV/7t28+/Uv76/PP/qhxxvf345PdeeeX5959//v333+m9cIPV/Oh4fTHOfO9bz3/rlW/98fPPf7d5ib73yvvvv/3OO9/93qvdx3SFuN1c+9abb7356o0b127fuL11+6NX36nz3Vdf+e4775d59fbta9dul7nxyvtv1Tu//farV67UO9+4dqO54faVGx81c+PGjXqxXH3ptTcvvPnmhbcuzP27C2++/eZbb7355quXrl2bv3ZtrtTYjRuXrlyav3Fl7lKtoCtXLr3+ztvvv/3mO++89Wq9au5Suc/cjSsffXTlRiHdKHecu1buNV9uu3bt0qUr125fuVae48aVer9yw7Vyhyvl+vleXc7v6M/e3y7NXZmfL3fecdOl5uJ8efyl+e7RzBXAtXJ418rRXip3v1TzVdyNK9eu1avLIZW/Daqz+8el8kTNE1xpDqfc96P6Uly7Uo67eZoSo1zfvFrl1ayv14363xs1x5XKuzLfHHh9okvNIdUnmr/dLOmj3tzuXaiPKi99eZ1vdF/2we3Dd73dLKMu7truJxhc2H+2H7nPfZ7i8U89LlAXqAvUBeoCHXEOVaD9H1TacdU+t/fn4PPj3eO38H4L77fwfgsv/hZ+9AL1N5H8TSR/E8nfRGrTN5FiC9Q/xuQfY/KPMfnHmNr0Y0yR34X/zD9I34D8g/T+QXr/IH1LfpC+//OdO34OdOiqfW4/TIEeyfhX4CKwOVSl1UqF5fT48AUa+5tIRzMWLwKbQ1VarVRYTo8PX6BP7nVe2vW77juu2ud2F2gslVE8GFVptVJhOT0+fIFubQ79a0sbK8155vBVOy+4QBOojOLBqEqrlQrL6fERFOjW5v3Sjzeb88tegQ5fteuCCzSeyigejKq0WqmwnB4fRYGOOgcfHWosXgQ2h6q0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6bELNJSbQ2UUD0ZVWq1UWE6PXaCh3Bwqo3gwqtJqpcJyeuwCDeXmUBnFg1GVVisVltNjF2goN4fKKB6MqrRaqbCcHrtAQ7k5VEbxYFSl1UqF5fTYBRrKzaEyigejKq1WKiynxy7QUG4OlVE8GFVptVJhOT12gYZyc6iM4sGoSquVCsvpsQs0lJtDZRQPRlVarVRYTo9doKHcHCqjeDCq0mqlwnJ67AIN5eZQGcWDUZVWKxWW02MXaCg3h8ooHoyqtFqpsJweu0BDuTlURvFgVKXVSoXl9NgFGsrNoTKKB6MqrVYqLKfHLtBQbg6VUTwYVWm1UmE5PXaBhnJzqIziwahKq5UKy+mxCzSUm0NlFA9GVVqtVFhOj12godwcKqN4MKrSaqXCcnrsAg3l5lAZxYNRlVYrFZbTYxdoKDeHyigejKq0WqmwnB67QEO5OVRG8WBUpdVKheX02AUays2hMooHoyqtViosp8cu0FBuDpVRPBhVabVSYTk9doGGcnOojOLBqEqrlQrL6XFmgebNM89kH0HkSKV12NbOVyGtC7SFI5XWYVs7X4W0LtAWjlRah23tfBXSukBbOFJpHba181VI6wJt4UilddjWzlchrQu0hSOV1mFbO1+FtC7QFo5UWodt7XwV0rpAWzhSaR22tfNVSCtSoB6Px3P04wL1eDyeEccF6vF4PCOOC9Tj8XhGHBeox+PxjDguUI/H4xlxXKAej8cz4rhAPR6PZ8RRKNDNH3c6p/7bw+zDiJjHd17u/e3J/ZVO5+aD1KMBz3bY3RdaONv5fl11bvdmh9N+wP3BK1Cgv+o089Kn2QcSMGudnniP7zShX2xz6EHYPRdaOIN8P+/qfOrj3OPBziDtOvsHb/sLdGOlc/rB1pOfd07zfho7onmy1umLt1ZDb95rceihsLsutHC28z3qnPrJVt1siz83bqfdWGnSfsC73PYX6FqvRNY6H2YfCnjqu52BeM3H1+M7rT1RGQq760ILZzvfk3tdjcs7jNbqPLTNtc579Y+ezozT+gLtG1c+dbf4I6xOebfz7q96IdcHf76XeUi4GQ6780ILZyjf4zu9Kllr62b32+YgNd8IFGjvJGxjpb1vZ5tZf+lng88Sa23/rDEcdueFFs5++VpcoHvTEn/sukBbNY/6b/QUQu/4KGtzgdZ5tPucrLVfnKmzM+2vVni/XtH6Ah18Q2+txd9QGYwLtK2zK996u+MOp13rdE79LPFYvnzaX6AbK513H9bvwrf5+5b92VugLQ4tXKCPWv5jTENpn/zP/7LSOfXfM4/my6b9Bdr/UbL/2uaTsf74DLStszPsyina97RHMru2+Wve9/ACBdr8WMQPH7S6S/rjAm3rDOdbb/n5595tPqL9+ptCgXan7R9hzch8F76OaoH+vPX9uWebvCcCOgXa3p/7GJq+eP2f/2ztz4HW0SzQJ2vEv9h4VDN4J9U7EXCB5s16/5cZWv9pe2v7w6z9v4m0pVqgSj9NMvQjNKzbbX+Bdn95+NcrbT4XG0xfvPKp+6WW/y68aIGut3ql/dk+Eej9CA3tiUD7C7T/z9coeLddI5sC/xqTYoH2/pWtTrt/9397m496//YU6zfhFQp061f/udP5Nz/JPoqQ2a6RzfvFu5ut/qShWKCPOloF2v3HfIn/9VOFAvV4PB7IuEA9Ho9nxHGBejwez4jjAvV4PJ4RxwXq8Xg8I44L1OPxeEYcF6jH4/GMOC5Qj8fjGXFcoB6PxzPiuEA9Ho9nxHGBejwez4jjAvV4PJ4RxwXq8Xg8I44L1OPxeEYcF6jH4/GMOC5Qj8fjGXFcoB6PxzPiuEA9Ho9nxHGBejwez4jjAvW0Yf7xm2N/1vzltz8Y+2fJx+IRGheopw1TevPrv6x/KU36n7IPxqMzLlBPK+aTsa/9Vf3zF2N/8LfZx+LRGReopxXz+Vhz5vm7n/odvCdwXKCeVkzva59+B+8JHReopx3zSfPe3e/gPaHjAvW0Y5r38H4H74kdF6inHdO8h/c7eE/suEA9LZlPxr7+y8/9Dt4TOi5QT0vm87Gv/dUnfgfvCR0XqKclU97D/8sf+B28J3RcoJ62zCdjf/hNv4P3hI4L1NOW+XxszO/gPbHjAvW0Zcp7eL+D98SOC9TTmvnE34P3BI8L1NOa+YXfwXuCxwXqacv87qd+B+8JHheopy3zj/4evCd6XKCelsz/+2nvH6X3eMLGBeppxfxibMzfQvKEjwvU04r5fGzsj/4m+yA8cuMC9Xg8nhHHBerxeDwjjgvU4/F4RhwXqMfj8Yw4LlCPx+MZcVygHo/HM+K4QD0ej2fEcYF6PB7PiOMC9Xg8nhHHBerxeDwjjgvU4/F4RhwXqMfj8Yw4LlCPx+MZcVygHo/HM+L8f74olfA6PDHYAAAAAElFTkSuQmCC" width="672" /></p>
<pre class="r"><code># Step 6 - turn into density plots for easier viewing (how t-tests are usually displayed)
ggplot(data = df, aes(x = y, group =group, fill =group)) +
geom_density(alpha = 0.5) +
theme(legend.position = "none")</code></pre>
<p><img 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" width="672" /></p>
</div>
</div>
<div id="anova---3-groups" class="section level2">
<h2>ANOVA - 3 groups</h2>
<pre class="r"><code># Parameters
group_size <- 200
mean_g1 <- 10
mean_g2 <- 12
mean_g3 <- 7
sd_g1 <- 0.3
sd_g2 <- 0.3
sd_g3 <- 0.3
# Data generation
group_1 <- mvrnorm(n = group_size, mu = mean_g1, Sigma = sd_g1, empirical = TRUE)
group_2 <- mvrnorm(n = group_size, mu = mean_g2, Sigma = sd_g2, empirical = TRUE)
group_3 <- mvrnorm(n = group_size, mu = mean_g3, Sigma = sd_g3, empirical = TRUE)
data <- c(group_1, group_2, group_3)
# Data frame
df <- tibble(group_label = rep(c("group_1", "group_2", "group_3"), each = group_size),
group_n = as_factor(rep(c(0, 1, 2), each = group_size)),
group_2 = rep(c(0,1,0), each = group_size),
group_3 = rep(c(0,0,1), each = group_size),
y = data)
# Linear model and anova function
summary(aov(y ~ group_label, data = df))</code></pre>
<pre><code>## Df Sum Sq Mean Sq F value Pr(>F)
## group_label 2 2533.3 1266.7 4222 <2e-16 ***
## Residuals 597 179.1 0.3
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1</code></pre>
<pre class="r"><code>anova <- summary(lm(formula = y ~ 1 + group_2 + group_3, data = df))
# Output
anova</code></pre>
<pre><code>##
## Call:
## lm(formula = y ~ 1 + group_2 + group_3, data = df)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.54285 -0.36086 0.03207 0.39934 1.46295
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 10.00000 0.03873 258.20 <2e-16 ***
## group_2 2.00000 0.05477 36.52 <2e-16 ***
## group_3 -3.00000 0.05477 -54.77 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.5477 on 597 degrees of freedom
## Multiple R-squared: 0.934, Adjusted R-squared: 0.9337
## F-statistic: 4222 on 2 and 597 DF, p-value: < 2.2e-16</code></pre>
<pre class="r"><code>knitr::kable(coefficients(anova), digits=3)</code></pre>
<table>
<thead>
<tr class="header">
<th align="left"></th>
<th align="right">Estimate</th>
<th align="right">Std. Error</th>
<th align="right">t value</th>
<th align="right">Pr(>|t|)</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="left">(Intercept)</td>
<td align="right">10</td>
<td align="right">0.039</td>
<td align="right">258.199</td>
<td align="right">0</td>
</tr>
<tr class="even">
<td align="left">group_2</td>
<td align="right">2</td>
<td align="right">0.055</td>
<td align="right">36.515</td>
<td align="right">0</td>
</tr>
<tr class="odd">
<td align="left">group_3</td>
<td align="right">-3</td>
<td align="right">0.055</td>
<td align="right">-54.772</td>
<td align="right">0</td>
</tr>
</tbody>
</table>
<p>What is a t-test not simply an ANOVA with two groups, or an ANOVA simply a t-test with 3+ groups?</p>
<div id="plot-anova" class="section level3">
<h3>Plot ANOVA</h3>
<pre class="r"><code># Step 1 - standard graph
ggplot(data = df, mapping = aes(x = group_n, y = y)) +
geom_point() </code></pre>
<p><img 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ALk3j8zoFHe7jgDWoFx72cMaI7HW8AVNEDc+5YBzTGgDdxAAcS9bxnQHAPawA0UQNz7lgHNMaAFXEEDxL1vGdAcAzrPHVRA3PuWAc3xeOe5gwqIe98yoDke7zx3UAFx71sGNMfjnecOKiDufcuABnm74wxoBca9nzlYQBHOT3f6W0H2NKDT3xIR+Ql0P370GeYn0AqUe/e78GmYQUsZ0AqcMzCgWZhBSxnQCpwzMKBZmEFb2c8GnDMwoFmYQUv5CbQC5wwMaBZm0FIGtALnDAxoFmbQUga0AucMDGiUlzvMgFag3LsBzfJ0pxnQCpB7/8yARnm789xBA8a9nzGgOX76aeAGCiDufcuA5hjQBm6gAOLetwxojgEt4AoaIO59y4DmGNB57qAC4t63DGiOxzvPHVRA3PuWAc3xeOe5gwqIe98yoDke7zx3UAFx71sGNMfjLeAKGiDufcuA5hjQBm6gAOLetwxojgGt4ALmIe59y4DmGNAGbqAA4t63DGiOAS3gChog7n3LgOYY0HnuoALi3rcMaI7HO88dVEDc+5YBzfF457mDCoh73zKgOR7vPHdQAXHvWwY0x+Mt4AoaIO59y4DmGNAGbqAA4t63DGiOAa3gAuYh7n3LgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0AouYB7i3rcMaI4BbeAGCiDufcuA5hjQAq6gAeLetwxojgGd5w4qIO59y4DmeLzz3EEFxL1vGdAcj3eeO6iAuPctA5rj8c5zBxUQ975lQHM83gKuoAHi3rcMaI4BbeAGCiDufcuA5hjQCi5gHuLetwxojgHtgHhs3TgrMKA5BrSCC5iHuPctA5pjQBu4gQKIe98yoDkGtIAraIC49y0DmmNA57mDCoh73zKgOR7vPHdQAXHvWwY0x+Od5w4qIO59y4DmeLzz3EEFxL1vGdAcj7eAK2iAuPctA5pjQBu4gQKIe98yoDkGtIILmIe49y0DmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrCAX0yZ1bu/90/O7tzeaN+wZUUxCPrRtnBaGA3tvcuijp5syrHxpQDUE8tm6cFUQCenxvcxHQe5vX7p88vrt57VMDqhmIx9aNs4JEQD/5yeYioI9ubz97Prlz4z0DqhmIx9aNs4JAQB9sNm/+bhfQB5d/fMuAagbisXXjrCAR0Ju/OHm4C+e9zdvbP178dwOqg0M8tm6cFQQC+qVgHt/dfdf90e2LHwR9aWfxX/yX5GlAp78lkiYY0D0YUIktF9CrP5Fp+qP2Afhd+A6Ix9aNs4JvLaBXfx7T9KAHYEA7IB5bN84KDGiOAe2AeGzdOCvIBtSvwhvQeYjH1o2zgnBAL37+pz8PVGMQj60bZwXhgPorkQzoOMRj68ZZQTigx3c3N/218AZ0FOKxdeOsIBzQk8f+bkwGdBjisXXjrCAd0JPH7572842rnz8R/4Ma0A6Ix9aNs4JQQP+86UEPwIB2QDy2bpwVGNAcA9oB8di6cVZgQHMMaAfEY+vGWYEBzTGgHRCPrRtnBQY0x4B2QDy2bpwVGNAcA9oB8di6cVZgQHMMaAfEY+vGWYEBzTGgHRCPrRtnBQY0x4B2QDy2bpwVGNAcA9oB8di6cVZgQHMMaAfEY+vGWYEBzTGgHRCPrRtnBQY0x4B2QDy2bpwVGNAcA9oB8di6cVZgQHMMaAfEY+vGWYEBzTGgHRCPrRtnBQY0x4B2QDy2bpwVGNAcA9oB8di6cVZgQHMMaAfEY+vGWYEBzTGgHRCPrRtnBQY0x4B2QDy2bpwVGNAcA9oB8di6cVZgQHMMaAfEY+vGWYEBzTGgHRCPrRtnBQY0x4B2QDy2bpwVGNAcA9oB8di6cVZgQHMMaAfEY+vGWcEzBfSP//WV3xrQP8uAdkA8tm6cFTxbQH94dPQ3P/7YgP5pBrQD4rF146zgmQL6xS+3WXjxnT0aOj3oARjQDojH1o2zgmcK6Kn/+IdtGf7uHQP6jQxoB8Rj68ZZwbMG9NRvzhv6/V8Z0G9gPyswHls1zgqeI6Cn35X/zY/O+vDCjxe+pDQ96AH4CbQD4rF146zguQJ66g8/f3n7Xfnn/hg6PegBGNAOiMfWjbOC5wroF//2vctGvGJArzKgHRCPrRtnBc8e0It6nn0t/g+/PDr6gQG9woB2QDy2bpwVPGNAdz/6+fRng35+9N3n+zlN04MegAHtgHhs3TgreKaAfvEvR1e/ePTHH37n1wb0qwxoB8Rj68ZZwTMF9OxXIr3w1Z++9Mcf+gn0KgPaAfHYunFW8IwB/f6/X/lTX/yv5/ypTNODHoAB7YB4bN04K3imgCZMD3oABrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKA5BrQD4rF146zAgOYY0A6Ix9aNswIDmmNAOyAeWzfOCgxojgHtgHhs3TgrMKBB9rMC47FV46zAgCbZzwaQx9aMswIDGmU/C1AeWzHOCgxokp9AG0AeWzPOCgxokD8GWoHx2KpxVmBAc/wqfAfEY+vGWYEBzTGgHRCPrRtnBQY0x4B2QDy2bpwVGNAcA9oB8di6cVZgQHMMaAfEY+vGWYEBzTGgHRCPrRtnBQcLKMFFP6e/HZJG+Al0L37+bAB5bM04KzCgUfazAOWxFeOswIBGGdAClMdWjLMCA5rkd+EbQB5bM84KDGiQX4SvwHhs1TgrMKA5/jSmDojH1o2zAgOaY0A7IB5bN84KDGiOAe2AeGzdOCswoDkGtAPisXXjrMCABtnPCozHVo2zAgOaZD8bQB5bM84KDGiQn0ArMB5bNc4KDGiOPwbaAfHYunFWYEBzDGgHxGPrxlmBAc0xoB0Qj60bZwUGNMeAdkA8tm6cFRjQHAPaAfHYunFWYEBzDGgHxGPrxlmBAc0xoB0Qj60bZwUGNMh+VmA8tmqcFRjQJPvZAPLYmnFWYECTDGgDyGNrxlmBAQ3yu/AVGI+tGmcFBjTHLyJ1QDy2bpwVGNAcA9oB8di6cVZgQHMMaAfEY+vGWYEBzTGgHRCPrRtnBQY0yH5WYDy2apwVGNAk+9kA8tiacVZgQIP8BFqB8diqcVZgQHP8MdAOiMfWjbMCA5pjQDsgHls3zgoMaI4B7YB4bN04KzCgOQa0A+KxdeOswIDmGNAOiMfWjbMCA5pjQDsgHls3zgoMaI4B7YB4bN04KzCgOQa0A+KxdeOswIAG2c8KjMdWjbMCA5pkPxtAHlszzgoMaJT9LEB5bMU4KzCgWZhBi7mDcZwVGNAszKDF3ME4zgoMaBZm0GLuYBxnBQY0CzNoMXcwjrMCA5qFGbSYOxjHWYEBzcIMWswdjOOswIBmYQYt5g7GcVZgQKP8eaAFKI+tGGcFBjTJX4nUAPLYmnFWYECD/LXwFRiPrRpnBQY0x9+NqQPisXXjrMCA5hjQDojHVg10AwY0x4B2QDy2ZqQjMKA5BrQD4rEVQ12BAQ1CvZxejMdWi/U5woAmcd5NM8hja2VADegyyrOpRnlspQyoAV2HGbSYOxhlQA3oOsygxdzBKANqQNdhBi3mDkYZUAO6DjNoMXcwyoAa0HWYQYu5g1EG1ICuwwxazB3MIvXTgIZhBi3mDoaB+mlAwzCDFnMHs/wEakCXYQYt5g5G+WOgBnQdZtBi7mCUATWg6zCDFnMHowyoAV2HGbSYOxhlQA3oOsygxdzBLFI/DWgYZtBi7mCUn0AN6DrMoMXcwSgDakDXYQYt5g5GGVADug4zaDF3MMqAGtB1mEGLuYNRBtSArsMMWswdjDKgBnQdZtBi7mAWqZ8GNAwzaDF3MAzUTwMahhm0mDuYxumnAQ3DDFrMHQzzE6gBXYUZtJg7mOWPgRrQZZhBi7mDUX4V3oCuwwxazB2MMqAGdB1m0GLuYJQBNaDrMIMWcwejDKgBXYcZtJg7mEXqpwENwwxazB3MMqAGdBlm0GLuYJTfhTeg6zCDFnMHowyoAV2HGbSYOxhlQA3oOsygxdzBKAO6l8c/3Ww2b9w3oJriDkYZ0H08ur05c+M9A6oh7mCUAd3D8d3Na/dPHp/+308NqGa4g1EGdA+Pbr/64ekfntz52kfQ6UEPBDNoMXcwyoDu4eHm1tkfTj+Ivm1ANcMdzCL100+gYZhBi7mDYaB+fms/Bnrr4s+8tLPnv1jSX4qzfk5/G2bsPfbxB9uvwr95+TUkAyoJYv+fxvSTbUBvfu0ngk5/1D4QzKDF3ME4zgrCAX10++zD5+nHUH8MVFPcwTjOCsIBvbd5a/fHW1f+yvSgB4IZtJg7GMdZQTagx3d3nzwf3b76M+mnBz0QzKDF3ME0zhfhDWgYZtBi7mCYP41pmd+FpwxazB3M8ifSr3u48YtIGuYORvlLOffxYHPurat/YXrQA8EMWswdjDKge/m/Z78f6D/7+4FqjDsYZUC/FdODHghm0GLuYJQBNaDrMIMWcwezSP00oGGYQYu5g2GgfhrQMMygxdzBNE4/DWgYZtBi7mCaATWgizCDFnMHw/wuvAFdhRm0mDuY5ReRDOgyzKDF3MEofxqTAV2HGbSYOxhlQA3oOsygxdzBKANqQNdhBi3mDkYZUAO6DjNoMXcwyoAa0HWYQYu5g1EG1ICuwwxazB2MMqAGdB1m0GLuYJQBNaDrMIMWcwejDKgBXYcZtJg7GGVADeg6zKDF3MEoA2pA12EGLeYORhlQA7oOM2gxdzCL1E8DGoYZtJg7mGVADegyzKDF3MEovwtvQNdhBi3mDkYZUAO6DjNoMXcwyoAa0HWYQYu5g1EG1ICuwwxazB2MMqAGdB1m0GLuYBapnwY0DDNoMXcwy4Aa0GWYQYu5g1F+F96ArsMMWswdjDKgBnQdZtBi7mCUATWg6zCDFnMHowyoAV2HGbSYOxhlQA3oOsygxdzBKANqQNdhBi3mDkYZUAO6DjNoMXcwyoAa0HWYQYu5g1EG1ICuwwxazB2MMqAGdB1m0GLuYJQBNaDrMIMWcwejDKgBXYcZtJg7GGVADeg6zKDF3MEoA2pA12EGLeYORhlQA7oOM2gxdzDKgBrQdZhBi7mDUQbUgK7DDFrMHYwyoAZ0HWbQYu5glAE1oOswgxZzB6MMqAFdhxm0mDsYZUAN6DrMoMXcwSgDakDXYQYt5g5GGVADug4zaDF3MMqAGtB1mEGLuYNZpH4a0DDMoMXcwSg/gRrQdZhBi7mDUQbUgK7DDFrMHYwyoAZ0HWbQYu5glAE1oOswgxZzB6MMqAFdhxm0mDsYZUAN6DrMoMXcwSgDakDXYQYt5g5GGVADug4zaDF3MMqAGtB1mEGLuYNRBtSArsMMWswdjDKgBnQdZtBi7mCUATWg6zCDFnMHo/VxclcAAA34SURBVAyoAV2HGbSYOxhlQA3oOsygxdzBKANqQNdhBi3mDkYZUAO6DjNoMXcwyoAa0HWYQYu5g1EG1ICuwwxazB2MMqAGdB1m0GLuYJQBNaDrMIMWcwejDKgBXYcZtJg7GGVADeg6zKDF3MEoA2pA12EGLeYORhlQA7oOM2gxdzDKgBrQdZhBi7mDUQbUgK7DDFrMHYwyoAZ0HWbQYu5glAE1oOswgxZzB6MMqAFdhxm0mDsYZUAN6DrMoMXcwSgDakDXYQYt5g5GGVADug4zaDF3MMqAGtB1mEGLuYNRBtSArsMMWswdjDKgBnQdZtBi7mCUATWg6zCDFnMHowyoJC16GtDpb8kAP4HuCTNoMXcwyk+gBnQdZtBi7mCUATWg6zCDFnMHowyoAV2HGbSYOxhlQA3oOsygxdzBKANqQNdhBi3mDkYZUAO6DjNoMXcwyoAa0HWYQYu5g1EG1ICuwwxazB2MMqAGdB1m0GLuYJQBNaDrMIMWcwejDKgBXYcZtJg7GGVADeg6zKDF3MEoA2pA12EGLeYORhlQA7oOM2gxdzDKgBrQdZhBi7mDUQbUgK7DDFrMHYwyoAZ0HWbQYu5glAE1oOswgxZzB6MMqAFdhxm0mDsYZUAN6DrMoMXcwSgDakDXYQYt5g5GGVADug4zaDF3MMqAGtB1mEGLuYNRBtSArsMMWswdjDKgBnQdZtBi7mCUATWg6zCDFnMHowyoAV2HGbSYOxhlQA3oOsygxdzBKANqQNdhBi3mDkYZUAO6DjNoMXcwyoAa0HWYQYu5g1EG1ICuwwxazB2MMqAGdB1m0GLuYJQBNaDrMIMWcwejDKgBXYcZtJg7GGVADeg6zKDF3MEoA2pA12EGLeYORhlQA7oOM2gxdzDKgBrQdZhBi7mDUQbUgK7DDFrMHYwyoAZ0HWbQYu5glAE1oOswgxZzB6MMqAFdhxm0mDsYZUAN6DrMoMXcwSgDakDXYQYt5g5GGVADug4zaDF3MMqAGtB1mEGLuYNRBtSArsMMWswdjDKgBnQdZtBi7mCUATWg6zCDFnMHowyoAV2HGbSYOxhlQA3oOsygxdzBKANqQNdhBi3mDkYZUAO6DjNoMXcwyoAa0HWYQYu5g1EG1ICuwwxazB2MMqAGdB1m0GLuYJQBNaDrMIMWcwejDKgBXYcZtJg7GGVADeg6zKDF3MEoA2pA12EGLeYORhlQA7oOM2gxdzDKgBrQdZhBi7mDUQbUgK7DDFrMHYwyoAZ0HWbQYu5glAE1oOswgxZzB6MMqAFdhxm0mDsYZUAN6DrMoMXcwSgDakDXYQYt5g5GGVADug4zaDF3MMqAGtB1mEGLuYNRBtSArsMMWswdjDKgBnQdZtBi7mAWqZ8GNAwzaDF3MMuAGtBlmEGLuYNRfhfegK7DDFrMHYwyoAZ0HWbQYu5glAE1oOswgxZzB6MMqAFdhxm0mDsYZUAN6DrMoMXcwSgDakDXYQYt5g5mkfppQMMwgxZzB8NA/TSgYZhBi7mDYQbUgK7CDFrMHczyu/AGdBlm0GLuYJRfRDKg6zCDFnMHowyoAV2HGbSYOxhlQA3oOsygxdzBKANqQNdhBi3mDmaR+mlAwzCDFnMHo/wEakDXYQYt5g5GGVADug4zaDF3MMqA7uX4g9ubzX/5mQHVFHcwyoDu4/GdzdabBlRD3MEoA7qH47ubm/dPjv/35sZ7BlQz3MEoA7qHh5tXPzz744PNLQOqGe5glAFdd/oB9O1v+EvTgx4IZtBi7mAWqZ/hgD65c/4B1IBqjjsYBupnOKCPbr/26e/++2Zz8xeXf+qlnf3+xZL+Ypz1c/rbMGP/gL57/lX4ty7+lAGVWM4/gU5/K0bsOfXDs5/A9OnJ8Qd+FV5j3MEsfwx0n4Cef/S851fhNcUdjPKr8Ose3d598jz7wVADqhHuYJQB3Segu6/CX/4HA6pDcwejDOi647u7T6APN34C1RB3MMqA7uHixz7vPf0yvAHVYbmDWaR+pgP66Pbmjft+FV6T3MEoP4Hu4+Ht7U8DvfG1X9E5PeiBYAYt5g5GGdC9PH73NKH/fP9rf3560APBDFrMHYwyoN+K6UEPBDNoMXcwyoAa0HWYQYu5g1EG1ICuwwxazB2MMqAGdB1m0GLuYJQBNaDrMIMWcwejDKgBXYcZtJg7GGVADeg6zKDF3MEoA2pA12EGLeYORhlQA7oOM2gxdzDKgBrQdZhBi7mDUQbUgK7DDFrMHYwyoAZ0HWbQYu5gFqmfBjQMM2gxdzAM1E8DGoYZtJg7mOUnUAO6DDNoMXcwyh8DNaDrMIMWcwejDKgBXYcZtJg7GGVADeg6zKDF3MEoA2pA12EGLeYOZpH6aUDDMIMWcwej/ARqQNdhBi3mDkYZUAO6DjNoMXcwyoAa0HWYQYu5g1EG1ICuwwxazB3MIvXTgIZhBi3mDoaB+mlAwzCDFnMH0zj9NKBhmEGLuYNxnBUY0CzMoMXcwTjOCgxoFmbQYu5gHGcFBjQLM2gxdzCOswIDmoUZtJg7GMdZgQHNwgxazB2M46zAgGZhBi3mDsZxVmBAszCDFnMH4zgrMKBZmEGLuYNxnBUY0CzMoMXcwTjOCgxoFmbQYu5gHGcFBjQLM2gxdzCOswIDmoUZtJg7GMdZgQHNwgxazB2M46zAgGZhBi3mDsZxVmBAszCDFnMH4zgrMKBZmEGLuYNxnBUY0CzMoMXcwTjOCgxoFmbQYu5gHGcFBjQLM2gxdzCOswIDmoUZtJg7GMdZgQHNwgxazB2M46zAgGZhBi3mDsZxVmBAszCDFnMH4zgrMKBZmEGLuYNxnBUY0CzMoMXcwTjOCgxoFmbQYu5gHGcFBjQLM2gxdzCOswIDmoUZtJg7GMdZgQHNwgxazB2M46zAgGZhBi3mDsZxVmBAszCDFnMH4zgrMKBZmEGLuYNxnBUY0CzMoMXcwTjOCg4WUIiXXpr+FsgdjMOuwIDuCftyiriDcdgVGNA9YV9OEXcwDrsCA7on7Msp4g7GYVdgQPeEfTlF3ME47AoM6J6wL6eIOxiHXYEB3RP25RRxB+OwKzCge8K+nCLuYBx2BQZUkhYZUElaZEAlaZEBlaRFBlSSFhlQSVpkQCVpkQGVpEUGdB/H797ebN64P/3NoHty59b0NwHtk59uNjegZ2BA9/DkzubMqx9Of0Pg7m0M6KAPtlewufHe9DdkggHdw73Na/dPHt/dvPbp9LeE7PjexoAOeri58bOTszNAfpAwoOse3d4+mSd3mP+/t8QnP9kY0EHHdzdvn/3x9Ltjb09/WwYY0HUPdnf7YPPW8LcE7MFm8+bvDOicJ3d2nzzvIc/AgK67t/t/uQ+93zkPbv7CBVQwoHoux3d333V/dNsfBB1lQAtAfyTLgC4zoC0MaIEHzCUY0GVfCijy6489DOi8h/40Jj0fP4G2MKDjHt6+QfwavAHdgwFtYUCnPYB+/jSg+/Cr8CVcwLAPsP00oHu4+Pmf/jzQYQZ01PG9zU3sFwEM6Dp/JVIJAzrqHvnXMhvQdcd3Nzf9tfAFDOikB+j3b0D38NjfjamCAR20+y3JNtDfkcCA7uPxu6fP5g3w///tYEAHPdwYUEnS8zOgkrTIgErSIgMqSYsMqCQtMqCStMiAStIiAypJiwyoJC0yoJK0yIBK0iIDKkmLDKgkLTKgkrTIgErSIgMqSYsMqCQtMqCStMiAStIiA6o6v/mHo6MXXvn4o6Pv/Prk5It/OXr9Nz86Ovqbfz39K7//+cunf+n7v9r+bX/84dEPzv+B87/z7L9/8W+nf8OL71z7rz3/6987/Vf9+OMDTaK/dgZUZU6LufWdn18E9L9t/+uvz0J57oV/PPsbrwno3+/+2e9eV8jTv/6ff3T+11/89QEH0l8xA6oy7x8dvfLxyRe/3EXzrKcv/OvJ79/Z9vPFfz85+Y/TCr5+cm1Aj46+/9vtP/q31/yLz/76C//48cnvT/+NPzjkRPrrZUDV5f+9vKvbR08D+vr2T5wG8PyT5emfuvgu+8nub70I6Hk43z9L7tec/fXXd//8tR9RpedlQNXlPIYn297tArr7Ex9dZvE8stcE9Ok/es1H0MsAnwb2O34fXgkGVFVOe3nRvvcvAvq17J0H8pqAPv1Hr/mI+fSvf2RAlWFAVeVpFU8uvwp/nr0vfcf7/D9e91X43T967UfMq3+/tDcDqip/MqCX3y9//xsC+vpX/tFv/FcbUIUYUFX50vfD/QSqegZUVa77MdC//fJ/P3P1x0Df/3pAr/8xUAOqLAOqLtd8Ff7ySz8X30X//Gj3VfjLz6a7gO6y+aWUfokBVZwBVZdrfh7oLqBXfx7o5ffpPz+6/Hmg5//oN/48UAOqLAOqMh997VciPf1B0ctfifSD3X//7q9Otr/8/fJXIv39xye///n1v9LIgCrOgKrMF+/vfr36/7ga0Cu/Fv7yV81/939eBPQ/vXz+Z679lZoGVHEGVHWu/m5MT39V0fnvxvTKb3f/9fz3VvqnL30V/uzT59Hud2u6yoAqzoCq1bVfSv8Trv/SkfQtMqDqcvmTlb7y0fNZGFAdnAFVl8ufrHT55fhnZUB1cAZUXU67+cI/nX7+/D8vP+8PVBpQHZwBVZnPd19JP3rx+q8FfaOvBvTzoyte/+Z/UlpkQNXmD7/83mnv/u6d5/09jw2oDs6AStIiAypJiwyoJC0yoJK0yIBK0iIDKkmLDKgkLTKgkrTIgErSIgMqSYsMqCQtMqCStMiAStIiAypJi/4/Md6xZJMOGt4AAAAASUVORK5CYII=" width="672" /></p>
<pre class="r"><code># Step 2 - change axes
ggplot(data = df, mapping = aes(x = y, y = group_n)) +
geom_point() </code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Step 3 - remove regression line
ggplot(data = df, mapping = aes(x = y, y = group_n)) +
geom_point() </code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Step 4 - change colours
ggplot(data = df, mapping = aes(x = y, y = group_n, color = group_n)) +
geom_point(alpha = 0.5) +
theme(legend.position = "none")</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Step 5 - move dots from second graph to the x axis
ggplot(data = df, mapping = aes(x = y, y = 0, color = group_n)) +
geom_point(alpha = 0.5) +
ylim(0, 1) +
theme(legend.position = "none")</code></pre>
<p><img 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" width="672" /></p>
<pre class="r"><code># Step 6 - turn into density plots for easier viewing (how t-tests are usually displayed)
ggplot(data = df, aes(x = y, group = group_label, fill = group_label)) +
geom_density(alpha = 0.5) </code></pre>
<p><img 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" width="672" /></p>
</div>
<div id="two-wayfactorial-anova" class="section level3">
<h3>Two-way/Factorial ANOVA</h3>
<p>The model for a two-way ANOVA with interactions includes:</p>
<ul>
<li>Main effect of variable 1<br />
</li>
<li>Main effect of variable 2<br />
</li>
<li>Interactions between each level of variable 1 and level 2<br />
</li>
<li>error</li>
</ul>
<div id="example-equations" class="section level4">
<h4>Example equations</h4>
<p>Variable 1 has two levels, variable 2 has three levels, with an interaction term:</p>
<p><span class="math display">\[ y = \beta_0 + \beta_1X_1 + \beta_2X_2 + \beta_3X_1X_2 \]</span> Where:</p>
<ul>
<li><span class="math inline">\(\beta_0\)</span> is the grand mean, or the mean for the first level of all factors<br />
</li>
<li><span class="math inline">\(X_1\)</span> is the score on variable 1</li>
<li><span class="math inline">\(X_2\)</span> is the score on variable 2</li>
<li><span class="math inline">\(\beta\)</span> represents the slope or beta value</li>
</ul>
<p>In R it is written as follows:</p>
<pre class="r fold-show"><code>lm(outcome_var ~ 1 + # the 1 is included to indicate $1*B0/intercept
var1_level2 + var2_level2 + var2_level3 + # main effects
var1_level2*var2_level2 + var1_level2*var2_level3) # interaction terms </code></pre>
<p>Note the first group on both variables is not included. Remember .</p>
</div>
</div>
<div id="ancova---multiple-groups-categorical-and-a-continuous-predictor" class="section level3">
<h3>ANCOVA - multiple groups (categorical) and a continuous predictor</h3>
<p>ANCOVA is an extension of ANOVA where you control for one or more covariates.</p>
<p>A covariate is a continuous variable that is correlated with the dependent variable but is not the focus of the study.</p>
<p>In an ANOVA, the variance due to covariates becomes error. If it is controlled in an ANCOVA, then the error variance is less, so you more accurately assess the variance due to the factor (the IV).</p>
<p>Assumptions:</p>
<ul>
<li><strong>ANOVA assumptions - normality and homogeneity of variance</strong></li>
<li><strong>Linearity between pairs of covariates</strong> - if there is more than one covariate</li>
<li><strong>Linearity between the covariates and the DV</strong></li>
<li><strong>Homogeneity of regression</strong> - the regression slope between the continuous predictor and outcome variable should be the same for all groups, or there should be no interaction between the continuous predictor and group levels in predicting the outcome variable.</li>
<li><strong>Independence of covariate and factor</strong> - the categorical and continuous predictors should be independent</li>
</ul>
<p>Equation ANCOVA: y (person’s score) = intercept for group 1 + intercept for each group + Equation MLM: y (person’s score) = (general intercept + random intercept for each group) + (general regression term/slope + random slope for each group) + error</p>
<pre class="r"><code># Parameters
group_size <- 200
mean_g1 <- 10
mean_g2 <- 12
mean_g3 <- 7
sd_g1 <- 0.3
sd_g2 <- 0.3
sd_g3 <- 0.3
n_groups <- 3
# Data generation
group_1 <- mvrnorm(n = group_size, mu = mean_g1, Sigma = sd_g1, empirical = TRUE)
group_2 <- mvrnorm(n = group_size, mu = mean_g2, Sigma = sd_g2, empirical = TRUE)
group_3 <- mvrnorm(n = group_size, mu = mean_g3, Sigma = sd_g3, empirical = TRUE)
data <- c(group_1, group_2, group_3)
continuous <-data + mvrnorm(n = group_size*n_groups, mu = 0, Sigma = 2, empirical = TRUE)
# Data frame
df <- tibble(group_label = rep(c("group_1", "group_2", "group_3"), each = group_size),
group_n = as_factor(rep(c(0, 1, 2), each = group_size)),
group_2 = rep(c(0,1,0), each = group_size),
group_3 = rep(c(0,0,1), each = group_size),
y = data,
x = continuous)</code></pre>
<pre class="r"><code>ggplot(data = df, mapping = aes(x = x, y = y)) +
geom_point() </code></pre>
<p><img 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