Need pro statistician help to answer question

Hi Heofz, thanks for that. I have been schooled on the second two maths problems starting post #38, there are two elegant solutions posted there, I am studying them today! Feel free to join in.
 
Okay I have read through, it is really helpful.

I have decide that I have two teeth (not three) with the two risks I described in the second part of Problem two, post #38. Here is my calculation:

No tooth requiring treatment = 0.94962 * 0.94962 = 90.18%

1 tooth = 0.94962 * 0.05038 * 2 (possibilities) = 9.56%

[the two possibilities are tooth A but not B or tooth B but not A]

2 teeth = 0.05038 * 0.05038 = 0.25%


It adds up to 100 which is reassuring, have I understood that correctly? And thank you.
 
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You know exactly where you are coming from. I was just thinking today that these statistics skills would make a good 2 or 3-hour study sessions for dentists.

I am writing detailed prognoses for personal injury cases, this involves predicting forward what may happen with and without treatment. It is interesting and I have never understood the maths aspect like this before. Makes me better at it, it is all thanks to you and your maths rival there :p

Clinically I am not really giving much information in statistic form. Some people ask for percentages, the 'phrase more likely than not' is useful in law and to explain things for patients in terms they understand.

Your articles refers to dental radiographs. The information on risk of dental radiographs is here:
http://www.fgdp.org.uk/publications...ation-doses-and-risks-in-dental-practice.ashx

There are exquisitely clear guidelines for when dentists should take radiographs and about 15 years ago there were two UK laws which apply to dentists taking dental x-ray pictures in clinics.

It is important to limit exposure to infants and children. Old-timers have nothing to worry about.

We are taught the skill of critically appraising scientific studies but the statistics is hard. I am a bit pants at maths and the written word, I have to work very hard at it.

Children's dentistry in actual fact has some of the best evidence base, but often dental studies are too 'low powered', study groups n= 20 or 100 and the studies are meaningless or worse, poorly designed and so mismatched that few can be used for meta-analysis.

Another interesting things Dowie is 'changing clinicians perspective', you give older clinicians (dentists and doctors) statistics and guidelines and their prescribing moves a little bit over, it is shifts toward 'the evidence'. You give the same to a younger clinician, or someone who is has an evidence-based practice and they adopt it immediately.

Making the material easy for the clinicians to use, appreciate and buy into can only help. :p

Thanks
 
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Hello again, ooh my head hurts.................maths.........Please could a maths Pro check my calculations

3 teeth, each tooth has a 12.5% chance of a complication (0.125) and therefore 0.875 chance of no complication.

Therefore the % chances are:

0 tooth needing treatment 67%
1 teeth needing treatment 29%
2 teeth needing treatment 4%
All 3 teeth needing treatment 0.02%

How did I do?

Many thanks, pod
 
Dowie you are a star, thank you so much.

I really appreciate you checking that over and coaching my probabilities. I am understanding it a bit better.

Thanks
 
I am stuck again, please help.

Problem is 4 teeth
3 complications all independent risks and independent of each tooth 5%, 5%, 7.5%

I need an explanation like i am a 10 year old

Chance of 0 complications
Chance of 1 tooth
2 teeth
3 teeth
all 4

I made this but it doesn't add up to 100! Sniff

32329591316_586cd0764f_c.jpg
 
Think I have figured it out

Chance of 0 teeth complication 48.5%
Chance of 1 tooth 38.5%
Chance of 2 11.5%
Chance of 3 1.5%
Chance of 4 approaching 0%


There were 16 possibilities

31533038164_559bca3d60_c.jpg
 
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Hi Amleto
Hmm thanks for this I will have a read. There are 3 possible complications and 4 teeth...have a look at the table I made......did I get the write answers?
 
Hi Bill thank you so much, that is very reassuring indeed.

I actually can't remember how to round up - I will have to research that once again.

When the probability of something is 0.0007 is it correct to say the chance of it occurring is approaching zero.

Because although the chance of 4 complications is O in this instance, it is a possibility..we can't say it would never happen.

Thanks again pod :p
 
Bill that is very helpful indeed. Thank you for taking the time to provide such clear explanations. I learnt something here and it is appreciated because it helps me with my job.
 
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