Johan
Ex got M3 in the divorce, waiting for EU Model Y!
One more thing that is very important we don't forget when we are discussing these statistics:
When we make a comparison between two groups - two sets of data - we have to be careful how we conclude. Let's say we can agree on a confidence interval (95%) commonly used, what units to use for the calculation in the nominator and denominator (fires? accidents? fires/accident? caryears? miles driven? etc.) and what types of Statistical tests are approriate for the data (since this is nominal continuus data which we don't have any reason wouldn't be normally distributed I agree we can use a binominal Method, I Guess you are using the chi-squared test luvb2b?). Let's further say that we do find a "statistically significant difference" (i.e. we can reject the null hypothesis of there being no difference With a 95% probability) between the groups. From this thread I understand that luvb2b has found that Teslas are in general less likely to Catch fire in general but perhaps more likely to Catch fire after collisions.
There are two fundamentally different ways to interprete this significant difference that we find:
1. Tesla cars are in fact less likely in general to burn, but more prone to burning after collisions, than "other cars".
2A. The difference is due to the fact that we are comparing two sets of data that are not from the same pool. I.e. even though we have the same units in the nominator/denominator in both sets of data the cars/individuals/singe data Points in the two groups come from two different "populations" to begin With.
2B (a variant if you will of 2A). The observation Method and Reporting Method between the two groups is fundamentally different. For the Tesla data it's basically battery fires reported in the News. What is the NTHSA data Collection Method? Definitions? Cut-off for what gets reported and not? What is classified as a fire, a collission, etc in the NTHSA data?
For conclusion 1 above to be the correct one you would have to first know that the two groups are otherwise very similar - ideally the same - when it comes to possible confounders such as age, vehicle size, typical driver background, where in the country/world it has been driven, etc. etc. etc. I would argue that it is very very unlikely that the two data pools have similar enough background characteristics to make for a good comparison.
I think conclusion number 2 above is a lot more likely - we are comparing two very different data sets and we can not apply comparative Statistical tests.
Again to make a parallell to medicine you would never use a chi-squared test, Student's T-test, Wilcox rank test or similar unless you first had one big pool of individuals/test subjects that you than randomized to two groups, made an intervention and followed them afterwards. When you do something like that you know that to begin With both groups came from the one and same population before you divided them. After that any difference you find is likely to be a "true" difference.
Applying Statistical probability testing to observational data With different roots makes for poor statistics without value.
All this being said I believe that there is a real issue here which is that 3 Tesla cars have caught fire after collisions. Even if the fires have been contained and haven't caused injuries or Death this warrants further study. It really doesn't matter if Teslas burn more or less than ICEs to me. I don't like Teslas to burn at all, period. Big batteries under the Whole of the car is a completely New Technology and this potential problem needs to be studied further and adressed regardless of how safe the car is compared to regular ICE cars.
As I said before, I think Elon did it all wrong when he started this stastics argument as a defence. He should have just said: We still believe that the Model S is a very safe car, there have not been Deaths or injuries from these fires, they have been contained, the car informed the driver to pull over and gave them plenty of time. However safety is Our number one priority and we will use all Resources to look in to this matter. If there is a way to make Model S even more safe we will. We welcome a NTHSA investigation.
When we make a comparison between two groups - two sets of data - we have to be careful how we conclude. Let's say we can agree on a confidence interval (95%) commonly used, what units to use for the calculation in the nominator and denominator (fires? accidents? fires/accident? caryears? miles driven? etc.) and what types of Statistical tests are approriate for the data (since this is nominal continuus data which we don't have any reason wouldn't be normally distributed I agree we can use a binominal Method, I Guess you are using the chi-squared test luvb2b?). Let's further say that we do find a "statistically significant difference" (i.e. we can reject the null hypothesis of there being no difference With a 95% probability) between the groups. From this thread I understand that luvb2b has found that Teslas are in general less likely to Catch fire in general but perhaps more likely to Catch fire after collisions.
There are two fundamentally different ways to interprete this significant difference that we find:
1. Tesla cars are in fact less likely in general to burn, but more prone to burning after collisions, than "other cars".
2A. The difference is due to the fact that we are comparing two sets of data that are not from the same pool. I.e. even though we have the same units in the nominator/denominator in both sets of data the cars/individuals/singe data Points in the two groups come from two different "populations" to begin With.
2B (a variant if you will of 2A). The observation Method and Reporting Method between the two groups is fundamentally different. For the Tesla data it's basically battery fires reported in the News. What is the NTHSA data Collection Method? Definitions? Cut-off for what gets reported and not? What is classified as a fire, a collission, etc in the NTHSA data?
For conclusion 1 above to be the correct one you would have to first know that the two groups are otherwise very similar - ideally the same - when it comes to possible confounders such as age, vehicle size, typical driver background, where in the country/world it has been driven, etc. etc. etc. I would argue that it is very very unlikely that the two data pools have similar enough background characteristics to make for a good comparison.
I think conclusion number 2 above is a lot more likely - we are comparing two very different data sets and we can not apply comparative Statistical tests.
Again to make a parallell to medicine you would never use a chi-squared test, Student's T-test, Wilcox rank test or similar unless you first had one big pool of individuals/test subjects that you than randomized to two groups, made an intervention and followed them afterwards. When you do something like that you know that to begin With both groups came from the one and same population before you divided them. After that any difference you find is likely to be a "true" difference.
Applying Statistical probability testing to observational data With different roots makes for poor statistics without value.
All this being said I believe that there is a real issue here which is that 3 Tesla cars have caught fire after collisions. Even if the fires have been contained and haven't caused injuries or Death this warrants further study. It really doesn't matter if Teslas burn more or less than ICEs to me. I don't like Teslas to burn at all, period. Big batteries under the Whole of the car is a completely New Technology and this potential problem needs to be studied further and adressed regardless of how safe the car is compared to regular ICE cars.
As I said before, I think Elon did it all wrong when he started this stastics argument as a defence. He should have just said: We still believe that the Model S is a very safe car, there have not been Deaths or injuries from these fires, they have been contained, the car informed the driver to pull over and gave them plenty of time. However safety is Our number one priority and we will use all Resources to look in to this matter. If there is a way to make Model S even more safe we will. We welcome a NTHSA investigation.
Last edited: