The probability of two events happening at the same time

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Discussion Overview

The discussion revolves around the relationship between earthquakes and temperature increases, specifically exploring the probability of these two events occurring simultaneously. Participants are examining whether the observed temperature changes can be attributed to the earthquakes or if they are merely coincidental, with a focus on statistical methods to analyze the data.

Discussion Character

  • Exploratory, Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant notes that while temperature increases were observed during the days of the earthquakes, it is uncertain if the earthquakes caused the temperature changes or if they were due to other factors, such as weather.
  • Another participant suggests that mathematics can help determine if there is a correlation between the earthquakes and temperature, but emphasizes the need for physics to establish causation.
  • A different participant observes a strong correlation from the graph and proposes a method to quantify this correlation using statistical measures, specifically mentioning the use of mean and standard deviation to assess the likelihood of the observed temperature points under a Gaussian distribution.
  • A participant requests clarification on the statistical method mentioned, specifically regarding the calculation of the average temperature and how to find the probability of the temperature points based on a Gaussian distribution.

Areas of Agreement / Disagreement

Participants express varying degrees of certainty regarding the correlation between earthquakes and temperature changes. While some see a strong correlation, others highlight the need for further analysis to determine causation, indicating that the discussion remains unresolved.

Contextual Notes

Participants have not fully defined the assumptions underlying their statistical analyses, nor have they resolved the mathematical steps necessary to calculate the probabilities discussed.

Ardit
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3 earthquakes happened on day 15, 16, and 17. During these days, a temperature increase was observed apparently because of the earthquakes.
But temperature also increases on other days. So, we don't know for sure if the temperature increase was triggered by the earthquakes or not, -maybe it was just weather. But we can calculate some confidence level or probability that the temperature increased because of the earthquake by using the information from the graph. Does anyone have any tips on how to do so?
 
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The mathematics can tell you if there is a correlation between the earthquake and the temperature. You need to go into the physics to determine cause and effect.
 
From the graph it does look like there is a strong correlation. If you want to put a number on it, simply take the temperature points (controlling for seasons) and compute the mean/std. Next find the probability of finding those points from a gaussian. This will tell the likelihood of observing those higher temperatures.
 
@mathman: Yes, I am trying to find that correlation, and as you said, that can be done using mathematics (i.e. statistics)

@broccoli: Can you please explain it more when you say "Next find the probability of finding those points from a gaussian".
Let's say I calculated the temperature average T of the observations.
 

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