- 1. Meet Dr. Ignaz Semmelweis
- 2. The alarming number of deaths
- 3. Death at the clinics
- 4. The handwashing begins
- 5. The effect of handwashing
- 6. The effect of handwashing highlighted
- 7. More handwashing, fewer deaths?
- 8. A Bootstrap analysis of Semmelweis handwashing data
- 9. The fate of Dr. Semmelweis
This is Dr. Ignaz Semmelweis, a Hungarian physician born in 1818 and active at the Vienna General Hospital. If Dr. Semmelweis looks troubled it's probably because he's thinking about childbed fever: A deadly disease affecting women that just have given birth. He is thinking about it because in the early 1840s at the Vienna General Hospital as many as 10% of the women giving birth die from it. He is thinking about it because he knows the cause of childbed fever: It's the contaminated hands of the doctors delivering the babies. And they won't listen to him and wash their hands!
In this notebook, we're going to reanalyze the data that made Semmelweis discover the importance of handwashing. Let's start by looking at the data that made Semmelweis realize that something was wrong with the procedures at Vienna General Hospital.
# importing modules import pandas as pd import matplotlib.pyplot as plt # Read datasets/yearly_deaths_by_clinic.csv into yearly yearly = pd.read_csv("datasets/yearly_deaths_by_clinic.csv") # Print out yearly yearly
The table above shows the number of women giving birth at the two clinics at the Vienna General Hospital for the years 1841 to 1846. You'll notice that giving birth was very dangerous; an alarming number of women died as the result of childbirth, most of them from childbed fever.
We see this more clearly if we look at the proportion of deaths out of the number of women giving birth. Let's zoom in on the proportion of deaths at Clinic 1.
# Calculate proportion of deaths per no. births yearly["proportion_deaths"] = yearly.deaths/yearly.births # Extract clinic 1 data into yearly1 and clinic 2 data into yearly2 yearly1 = yearly[yearly.clinic=="clinic 1"] yearly2 = yearly[yearly.clinic=="clinic 2"] # Print out yearly1 yearly1
# This makes plots appear in the notebook %matplotlib inline # Plot yearly proportion of deaths at the two clinics ax = yearly1.plot(x="year", y="proportion_deaths", label="Clinic 1") yearly2.plot(x="year", y="proportion_deaths", label="Clinic 2", ax=ax) ax.set_ylabel("Proportion deaths")
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Why is the proportion of deaths constantly so much higher in Clinic 1? Semmelweis saw the same pattern and was puzzled and distressed. The only difference between the clinics was that many medical students served at Clinic 1, while mostly midwife students served at Clinic 2. While the midwives only tended to the women giving birth, the medical students also spent time in the autopsy rooms examining corpses.
Semmelweis started to suspect that something on the corpses, spread from the hands of the medical students, caused childbed fever. So in a desperate attempt to stop the high mortality rates, he decreed: Wash your hands! This was an unorthodox and controversial request, nobody in Vienna knew about bacteria at this point in time.
Let's load in monthly data from Clinic 1 to see if the handwashing had any effect.
# Read datasets/monthly_deaths.csv into monthly monthly = pd.read_csv("datasets/monthly_deaths.csv", parse_dates=["date"]) # Calculate proportion of deaths per no. births monthly["proportion_deaths"] = monthly.deaths/monthly.births # Print out the first rows in monthly monthly.head()
# Plot monthly proportion of deaths ax = monthly.plot(x="date", y="proportion_deaths") ax.set_ylabel("Proportion deaths")
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# Date when handwashing was made mandatory import pandas as pd handwashing_start = pd.to_datetime('1847-06-01') # Split monthly into before and after handwashing_start before_washing = monthly[monthly.date<handwashing_start] after_washing = monthly[monthly.date>=handwashing_start] # Plot monthly proportion of deaths before and after handwashing ax = before_washing.plot(x="date", y="proportion_deaths", label="Before Washing") after_washing.plot(ax=ax, x="date", y="proportion_deaths", label="After Washing") ax.set_ylabel("Proportion deaths")
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# Difference in mean monthly proportion of deaths due to handwashing before_proportion = before_washing.proportion_deaths after_proportion = after_washing.proportion_deaths mean_diff = after_proportion.mean() - before_proportion.mean() mean_diff
It reduced the proportion of deaths by around 8 percentage points! From 10% on average to just 2% (which is still a high number by modern standards).
To get a feeling for the uncertainty around how much handwashing reduces mortalities we could look at a confidence interval (here calculated using the bootstrap method).
# A bootstrap analysis of the reduction of deaths due to handwashing boot_mean_diff =  for i in range(3000): boot_before = before_proportion.sample(frac=1, replace=True) boot_after = after_proportion.sample(frac=1, replace=True) boot_mean_diff.append( boot_after.mean() - boot_before.mean() ) # Calculating a 95% confidence interval from boot_mean_diff confidence_interval = pd.Series(boot_mean_diff).quantile([.025, .975]) confidence_interval
0.025 -0.102262 0.975 -0.067096 dtype: float64
So handwashing reduced the proportion of deaths by between 6.7 and 10 percentage points, according to a 95% confidence interval. All in all, it would seem that Semmelweis had solid evidence that handwashing was a simple but highly effective procedure that could save many lives.
The tragedy is that, despite the evidence, Semmelweis' theory — that childbed fever was caused by some "substance" (what we today know as bacteria) from autopsy room corpses — was ridiculed by contemporary scientists. The medical community largely rejected his discovery and in 1849 he was forced to leave the Vienna General Hospital for good.
One reason for this was that statistics and statistical arguments were uncommon in medical science in the 1800s. Semmelweis only published his data as long tables of raw data, but he didn't show any graphs nor confidence intervals. If he would have had access to the analysis we've just put together he might have been more successful in getting the Viennese doctors to wash their hands.
# The data Semmelweis collected points to that: doctors_should_wash_their_hands = True