From ddc23d8eeee9df4e93a75c0c8700439831d80080 Mon Sep 17 00:00:00 2001 From: Rafael A Irizarry Date: Mon, 27 Nov 2023 12:44:13 -0500 Subject: [PATCH] adding work done during lecture --- 33-smoothing.qmd | 56 +++++++++++++++++ docs/33-smoothing.html | 59 ++++++++++++++++++ .../figure-html/unnamed-chunk-5-1.png | Bin 0 -> 154568 bytes .../figure-html/unnamed-chunk-7-1.png | Bin 0 -> 271387 bytes .../figure-html/unnamed-chunk-8-1.png | Bin 0 -> 222289 bytes .../figure-html/unnamed-chunk-9-1.png | Bin 0 -> 105982 bytes docs/search.json | 2 +- docs/sitemap.xml | 2 +- 8 files changed, 117 insertions(+), 2 deletions(-) create mode 100644 docs/33-smoothing_files/figure-html/unnamed-chunk-5-1.png create mode 100644 docs/33-smoothing_files/figure-html/unnamed-chunk-7-1.png create mode 100644 docs/33-smoothing_files/figure-html/unnamed-chunk-8-1.png create mode 100644 docs/33-smoothing_files/figure-html/unnamed-chunk-9-1.png diff --git a/33-smoothing.qmd b/33-smoothing.qmd index 4e925cf..5c600bc 100644 --- a/33-smoothing.qmd +++ b/33-smoothing.qmd @@ -574,4 +574,60 @@ $$ head(pr_death_counts) ``` +Explore the data and notice we should remove missing or incomplete values +```{r} +pr_death_counts |> + ggplot(aes(date, deaths)) + + geom_point() + +dat <- pr_death_counts |> filter(date < make_date(2018, 4, 1)) +``` + + +We start by fitting a seasonal model. We will fit the model to 2015-2016 and then obtain residulas for 2017-2018 + +```{r} +dat <- mutate(dat, tt = as.numeric(date - make_date(2017, 9, 20))) |> + filter(!is.na(deaths)) |> + mutate(x1 = sin(2*pi*tt/365), x2 = cos(2*pi*tt/365), + x3 = sin(4*pi*tt/365), x4 = cos(4*pi*tt/365)) + +seasonal_fit <- lm(deaths ~ x1 + x2 + x3 + x4, data = filter(dat, year(date) < 2017)) +``` + +Check the fit + +```{r} +with(dat, plot(tt, deaths)) +s <- predict(seasonal_fit, newdata = dat) +lines(dat$tt, s, col = 2, lwd = 2) +``` + + +Let's now fit smooth curve to the residuals + +```{r} +dat <- mutate(dat, resid = deaths - s) +fit <- loess(resid ~ tt, span = 1/20, degree = 1, data = dat) +fit <- predict(fit, se = TRUE) +dat <- mutate(dat, f = fit$fit) |> + mutate(lower = f - qnorm(0.995)*fit$se.fit, upper = f + qnorm(.995)*fit$se.fit) +dat |> ggplot(aes(x = date)) + + geom_point(aes(y = resid)) + + geom_line(aes(y = f), color = "red") +``` + +Is there some evidence of indirect effect after the first week after landfall? + +```{r} +dat |> + filter(year(date) >= 2017) |> + ggplot(aes(date, f, ymin = lower, ymax = upper)) + + geom_ribbon(alpha = 0.5) + + geom_line(color = "red") + + geom_hline(yintercept = 0) + + theme_bw() +``` + +Note that this is only an exploratory analysis. A formal analysis would take into account changing demographics and perhaps fit a model with a discontinuity on the day the hurricane made landfall. \ No newline at end of file diff --git a/docs/33-smoothing.html b/docs/33-smoothing.html index dc3e2cb..88fe72f 100644 --- a/docs/33-smoothing.html +++ b/docs/33-smoothing.html @@ -835,6 +835,65 @@

head(pr_death_counts)
+

Explore the data and notice we should remove missing or incomplete values

+
+
pr_death_counts |>
+  ggplot(aes(date, deaths)) +
+  geom_point()
+
+
Warning: Removed 4 rows containing missing values (`geom_point()`).
+
+
+

+
+
dat <- pr_death_counts |> filter(date < make_date(2018, 4, 1))
+
+

We start by fitting a seasonal model. We will fit the model to 2015-2016 and then obtain residulas for 2017-2018

+
+
dat <- mutate(dat, tt = as.numeric(date - make_date(2017, 9, 20))) |>
+  filter(!is.na(deaths)) |>
+  mutate(x1 = sin(2*pi*tt/365), x2 = cos(2*pi*tt/365),
+         x3 = sin(4*pi*tt/365), x4 = cos(4*pi*tt/365)) 
+
+seasonal_fit <- lm(deaths ~ x1 + x2 + x3 + x4, data = filter(dat, year(date) < 2017))
+
+

Check the fit

+
+
with(dat, plot(tt, deaths))
+s <- predict(seasonal_fit, newdata = dat)
+lines(dat$tt, s, col = 2, lwd = 2)
+
+

+
+
+

Let’s now fit smooth curve to the residuals

+
+
dat <- mutate(dat, resid = deaths - s)
+fit <- loess(resid ~ tt, span = 1/20, degree = 1, data = dat)
+fit <- predict(fit, se = TRUE)
+dat <- mutate(dat, f = fit$fit) |>
+  mutate(lower = f - qnorm(0.995)*fit$se.fit, upper = f + qnorm(.995)*fit$se.fit)
+dat |> ggplot(aes(x = date)) +
+  geom_point(aes(y = resid)) +
+  geom_line(aes(y = f), color = "red")
+
+

+
+
+

Is there some evidence of indirect effect after the first week after landfall?

+
+
dat |> 
+  filter(year(date) >= 2017) |>
+  ggplot(aes(date, f, ymin = lower, ymax = upper)) +
+  geom_ribbon(alpha = 0.5) +
+  geom_line(color = "red") +
+  geom_hline(yintercept = 0) +
+  theme_bw()
+
+

+
+
+

Note that this is only an exploratory analysis. A formal analysis would take into account changing demographics and perhaps fit a model with a discontinuity on the day the hurricane made landfall.

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