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Charmed
Five questions by Wes
Dear Wes:
Let me try to answer two of the five questions posed (Just my humble opinions.)
Question 1:
I think this medical errors crisis is largely a matter of perception. Not politics, or socioeconomics, but steming simply from the misuse of simple y/x ratios and an imprecise understanding of what x should be used.
Question 2:
More thorough analysis of the "raw" data on deaths due to medical errors is requried. The medical and the health care industry should do what the NHTSA has been doing.
The difference between the ratio y/x and the rate dy/dx, as it applies outside physics must be understood. In the tax problem, for example, the tax rate, also called the marginal tax rate is the slope of the graph of (taxable income) versus taxes owed. The defining equation is y = hx + c where the constant c is negative except for those with the lowest taxable incomes. If you are in the 25% tax bracket h = 0.25. If you are in 33% tax bracket, h = 0.33 and so on. Since c is always negative the ratio y/x = h + (c/x) always seems to be increasing as x increasing with the range for which the constant h applies. I think of the ratio y/x as the "tax burden". This is always increasing as income x increases. The same considerations apply to many problems including traffic fatalities and medical errors that we have started discussing here.
I find the report of Traffic fatalities reports by NHTSA very informative. The same format is used year after year. I can go almost to the same table no. and even to the same page and cross check and compare data for each year. As an example of how new conclusions can be drawn by testing alternative models, I have attached my analysis of the traffic fatality data for the years 1996 to 2002. The Microsoft Excel file should be self-explanatory. If there is interest I would be happy to provide a written text.
I will leave it up to others here to answer the other three questions you have posed. I hope you will be kind enough to entertain my other posts. With my warmest regards.
Charmed
Dear Wes:
Let me try to answer two of the five questions posed (Just my humble opinions.)
Question 1:
I think this medical errors crisis is largely a matter of perception. Not politics, or socioeconomics, but steming simply from the misuse of simple y/x ratios and an imprecise understanding of what x should be used.
Question 2:
More thorough analysis of the "raw" data on deaths due to medical errors is requried. The medical and the health care industry should do what the NHTSA has been doing.
The difference between the ratio y/x and the rate dy/dx, as it applies outside physics must be understood. In the tax problem, for example, the tax rate, also called the marginal tax rate is the slope of the graph of (taxable income) versus taxes owed. The defining equation is y = hx + c where the constant c is negative except for those with the lowest taxable incomes. If you are in the 25% tax bracket h = 0.25. If you are in 33% tax bracket, h = 0.33 and so on. Since c is always negative the ratio y/x = h + (c/x) always seems to be increasing as x increasing with the range for which the constant h applies. I think of the ratio y/x as the "tax burden". This is always increasing as income x increases. The same considerations apply to many problems including traffic fatalities and medical errors that we have started discussing here.
I find the report of Traffic fatalities reports by NHTSA very informative. The same format is used year after year. I can go almost to the same table no. and even to the same page and cross check and compare data for each year. As an example of how new conclusions can be drawn by testing alternative models, I have attached my analysis of the traffic fatality data for the years 1996 to 2002. The Microsoft Excel file should be self-explanatory. If there is interest I would be happy to provide a written text.
I will leave it up to others here to answer the other three questions you have posed. I hope you will be kind enough to entertain my other posts. With my warmest regards.
Charmed
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